50278 + Interview Questions in Physics

1.	Two mirrors placed at an angle of θ produces 5 images of an object placed symmetrically between the mirrors. The number of images produced when θ is decreased by 30∘ will be
Answer» Two mirrors placed at an angle of $θ$ produces $5$ images of an object placed symmetrically between the mirrors. The number of images produced when $θ$ is decreased by $30^{\circ}$ will be

Discussion

2.	Four point masses, each of mass m, are placed at the four corners of a square of edge ‘a’. The moment of inertia of the system about a line perpendicular to the plane of the square and passing through the centre of the square is
Answer» Four point masses, each of mass m, are placed at the four corners of a square of edge ‘a’. The moment of inertia of the system about a line perpendicular to the plane of the square and passing through the centre of the square is

Discussion

3.	If a particle starts from A along the curved circular path shown in figure with tangential acceleration ‘a’. Then acceleration at B in magnitude is:
Answer» If a particle starts from A along the curved circular path shown in figure with tangential acceleration ‘a’. Then acceleration at B in magnitude is:

3.

If a particle starts from A along the curved circular path shown in figure with tangential acceleration ‘a’. Then acceleration at B in magnitude is:

Answer»

If a particle starts from A along the curved circular path shown in figure with tangential acceleration ‘a’. Then acceleration at B in magnitude is:

Discussion

4.	In a gravity free space, a man of mass M standing at a height h above the ﬂoor, throws a ball of mass m straight down with a speed u. When the ball reaches the floor, the distance of the man above the ﬂoor will be
Answer» In a gravity free space, a man of mass M standing at a height h above the ﬂoor, throws a ball of mass m straight down with a speed u. When the ball reaches the floor, the distance of the man above the ﬂoor will be

Discussion

5.	The rectangular components of a vector are (2,2). The corresponding rectangular components of another vector are (1,√3) . Find the angle between the two vectors (in degree).
Answer» The rectangular components of a vector are $(2, 2)$ . The corresponding rectangular components of another vector are $(1, \sqrt{3})$ . Find the angle between the two vectors (in degree).

Discussion

6.	The charge flowing through a resistance R varies with time as q=2t−8t2. The total heat produced in the resistance (for 0≤ t ≤ 18) is
Answer» The charge flowing through a resistance R varies with time as $q = 2 t - 8 t^{2}$ . The total heat produced in the resistance $(f o r 0 \leq t \leq \frac{1}{8})$ is

Discussion

7.	Three rods made of same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0∘C and 90∘C, respectively. The temperature of the junction of the three rods will be
Answer» Three rods made of same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at $0^{\circ} C$ and $90^{\circ} C$ , respectively. The temperature of the junction of the three rods will be

Discussion

8.	When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is
Answer» When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is

Discussion

9.	A horizontal rod of mass 10 gm and length 10 cm is placed on a smooth plane inclined at an angle of 60∘ with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is 1.73 ampere, then the value of B for which the rod remains stationary on the inclined plane is
Answer» A horizontal rod of mass 10 gm and length 10 cm is placed on a smooth plane inclined at an angle of $60^{\circ}$ with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction B is applied vertically downwards. If the current through the rod is 1.73 ampere, then the value of B for which the rod remains stationary on the inclined plane is

Discussion

10.	A particle P is moving in a circle of radius ′a′ with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio
Answer» A particle $P$ is moving in a circle of radius $^{'} a^{'}$ with a uniform speed $v$ . $C$ is the centre of the circle and $A B$ is a diameter. When passing through $B$ the angular velocity of $P$ about $A$ and $C$ are in the ratio

Discussion

11.	Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right-angles triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system taking O as origin
Answer» Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right-angles triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system taking O as origin

11.

Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right-angles triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system taking O as origin

Answer»

Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right-angles triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system taking O as origin

Discussion

12.	A body is thrown with a velocity of 9.8 m/s making an angle of 30∘ with the horizontal. It will hit the ground after a time
Answer» A body is thrown with a velocity of 9.8 m/s making an angle of $30^{\circ}$ with the horizontal. It will hit the ground after a time

Discussion

13.	A force →F=−K(y^i+x^j)(where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point (a,0) and then parallel to the y-axis to the point (a,a). Find the total work done by the forces →F on the particle.
Answer» A force $\to F = - K (y^i + x^j)$ (where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point $(a, 0)$ and then parallel to the y-axis to the point $(a, a)$ . Find the total work done by the forces $\to F$ on the particle.

13.

A force →F=−K(y^i+x^j)(where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point (a,0) and then parallel to the y-axis to the point (a,a). Find the total work done by the forces →F on the particle.

Answer»

A force $\to F = - K (y^i + x^j)$ (where K is a positive constant) acts on a particle moving in the x-y plane.

Starting from the origin, the particle is taken along the positive x- axis to the point $(a, 0)$ and then

parallel to the y-axis to the point $(a, a)$ . Find the total work done by the forces $\to F$ on the particle.

Discussion

14.	A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2π revolutions is
Answer» A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after $2 π$ revolutions is

14.

A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2π revolutions is

Answer»

A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after $2 π$ revolutions is

Discussion

15.	The acceleration of a body starting from rest is given by a=13–0.1s , where a is the acceleration (in m/s2) and s is the displacement (in m). If its mass is 2 kg, find its momentum when the displacement is 100 m.
Answer» The acceleration of a body starting from rest is given by $a = 13 - 0.1 s$ , where $a$ is the acceleration (in $m / s^{2}$ ) and $s$ is the displacement (in $m$ ). If its mass is $2 k g$ , find its momentum when the displacement is $100 m$ .

Discussion

16.	A swimmer starts swimming in a river (width =d) to reach the other end of the river and river velocity is zero when he started the swimming. His velocity is 2.5 m/s w.r.t. river and once he reaches half of the width of the river, then the river starts flowing with a velocity 2.5 m/s. What is the horizontal displacement of the swimmer from the initial position? (d=400 m)
Answer» A swimmer starts swimming in a river (width $= d$ ) to reach the other end of the river and river velocity is zero when he started the swimming. His velocity is $2.5 m / s$ w.r.t. river and once he reaches half of the width of the river, then the river starts flowing with a velocity $2.5 m / s$ . What is the horizontal displacement of the swimmer from the initial position? ( $d = 400 m$ )

Discussion

17.	A ball is dropped from a height. If it takes 0.2s to cross the last 6 m before hitting the ground, find the height from which it was dropped.
Answer» A ball is dropped from a height. If it takes 0.2s to cross the last 6 m before hitting the ground, find the height from which it was dropped.

Discussion

18.	An elevator, in which a man is standing, is moving upward with a constant acceleration of 1 m/ s2. At some instant when speed of elevator is 10 m/s, the man drops a coin from a height of 2 m. Find the time taken by the coin the reach the floor. (g=9.8 m/s2).
Answer» An elevator, in which a man is standing, is moving upward with a constant acceleration of 1 m/ $s^{2}$ . At some instant when speed of elevator is 10 m/s, the man drops a coin from a height of 2 m. Find the time taken by the coin the reach the floor. (g=9.8 m/ $s^{2}$ ).

Discussion

19.	At what angle should a ball be projected up an inclined plane with a velocity so that it may hit the incline normally. The angle of the inclined plane with the horizontal is α.
Answer» At what angle should a ball be projected up an inclined plane with a velocity so that it may hit the incline normally. The angle of the inclined plane with the horizontal is $α$ .

Discussion

20.	The resistance in ohms in the four arms of a Wheatstone bridge are as follows. In which combination of the following is the bridge balanced?
Answer» The resistance in ohms in the four arms of a Wheatstone bridge are as follows. In which combination of the following is the bridge balanced?

Discussion

21.	What is solid solid equilibrium?
Answer» What is solid solid equilibrium?

Discussion

22.	A family uses 8 kW of power. (a) Direct solar energy is incident on the horizontal surface at an average rate of 200 W per square meter. If 20% of this energy can be converted to useful electrical energy, how large an area is needed to supply 8 kW? (b) Compare this area to that of the roof of a typical house.
Answer» A family uses 8 kW of power. (a) Direct solar energy is incident on the horizontal surface at an average rate of 200 W per square meter. If 20% of this energy can be converted to useful electrical energy, how large an area is needed to supply 8 kW? (b) Compare this area to that of the roof of a typical house.

Discussion

23.	If CuSO4(s) . 5H2O(s) ⇋CuSo4 . H2O(s) + 2H2O(g)Kp = 1.0 x 10−4 atm2 at 250∘. The efflorescent nature of CuSO4 . 5H2O can be noticed when vapour pressure of H2O in atmosphere is:
Answer» If $C u S O_{4 (s)}$ . $5 H_{2} O_{(s)}$ $⇋$ $C u S o_{4}$ . $H_{2} O_{(s)}$ + $2 H_{2} O$ (g) $K_{p}$ = 1.0 x $10^{- 4}$ atm2 at $250^{\circ}$ . The efflorescent nature of CuSO4 . 5H2O can be noticed when vapour pressure of H2O in atmosphere is:

Discussion

24.	The equation of state of a gas is given by (P+aT2V)Vc=(RT+b), where a, b, c and R are constants. The isotherms can be represented by P=AVm−BVn , where A and B depend only on temperature and
Answer» The equation of state of a gas is given by $(P + \frac{a T^{2}}{V}) V^{c} = (R T + b)$ , where a, b, c and R are constants. The isotherms can be represented by $P = A V^{m} - B V^{n}$ , where A and B depend only on temperature and

24.

The equation of state of a gas is given by (P+aT2V)Vc=(RT+b), where a, b, c and R are constants. The isotherms can be represented by P=AVm−BVn , where A and B depend only on temperature and

Answer»

The equation of state of a gas is given by $(P + \frac{a T^{2}}{V}) V^{c} = (R T + b)$ , where a, b, c and R are constants. The isotherms can be represented by $P = A V^{m} - B V^{n}$ , where A and B depend only on temperature and

Discussion

25.	An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will
Answer» An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will

Discussion

26.	A radioactive isotope is being produced at a constant rate dNdt = R in an experiment. The isotope has a half-life t12. Show that after a times t>> t12, the number of active nuclei will become constant. Find the value of this constant.
Answer» A radioactive isotope is being produced at a constant rate $\frac{d N}{d t}$ = R in an experiment. The isotope has a half-life $t_{\frac{1}{2}}$ . Show that after a times t>> $t_{\frac{1}{2}}$ , the number of active nuclei will become constant. Find the value of this constant.

Discussion

27.	For a sound wave travelling towards +x direction, sinusoidal longitudinal displacement ξ at a certain time is given as a function of x(Figure). If bulk modulus of air is B=5×105N/m2, the variation of pressure excess will be
Answer» For a sound wave travelling towards +x direction, sinusoidal longitudinal displacement $ξ$ at a certain time is given as a function of x(Figure). If bulk modulus of air is $B = 5 \times 10^{5} N / m^{2}$ , the variation of pressure excess will be

Discussion

28.	A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t2 s.
Answer» A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time $\frac{t}{2}$ s.

28.

A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t2 s.

Answer»

A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time $\frac{t}{2}$ s.

Discussion

29.	Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of 20m/s2. Find the elongations.
Answer» Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of $20 m / s^{2}$ . Find the elongations.

Discussion

30.	Determine the unit vector parallel to the cross product of the vectors →A = −3^i + 5^j + 10^k and →B = −6^i + 5^j + 2^k
Answer» Determine the unit vector parallel to the cross product of the vectors $\to A$ = $- 3^i + 5^j + 10^k$ and $\to B$ = $- 6^i + 5^j + 2^k$

Discussion

31.	Two successive resonance frequencies in an open organ pipe are 1800 Hz and 2600 Hz. Find the length of the tube if the speed of sound in air is 340 m/s.
Answer» Two successive resonance frequencies in an open organ pipe are $1800 Hz$ and $2600 Hz$ . Find the length of the tube if the speed of sound in air is $340 m/s$ .

Discussion

32.	The dimensions of the coefficient of thermal conductivity are
Answer» The dimensions of the coefficient of thermal conductivity are

32.

The dimensions of the coefficient of thermal conductivity are

Answer»

The dimensions of the coefficient of thermal conductivity are

Discussion

33.	A collar ′B′ of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5 m. The spring lying in the plane of the circular track and having spring constant 200 N/m is undeformed when the collar is at ′A′. If the collar starts from rest at ′B′, the normal reaction exerted by the track on the collar when it passes through ′A′ is
Answer» A collar $^{'} B^{'}$ of mass $2 kg$ is constrained to move along a horizontal smooth and fixed circular track of radius $5 m$ . The spring lying in the plane of the circular track and having spring constant $200 N/m$ is undeformed when the collar is at $^{'} A^{'}$ . If the collar starts from rest at $^{'} B^{'}$ , the normal reaction exerted by the track on the collar when it passes through $^{'} A^{'}$ is

Discussion

34.	The length of the second’s pendulum on the surface of earth is 1m. The length of second’s pendulum on the surface of moon, where g is 16th value of earth surface, is:
Answer» The length of the second’s pendulum on the surface of earth is 1m. The length of second’s pendulum on the surface of moon, where g is $\frac{1}{6} t h$ value of earth surface, is:

Discussion

35.	Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density λ such that λ(x)=λ/x, where x is the distance from mass m. Given that mass m is placed at a distance d from the end of the rod on its axis as shown in figure.
Answer» Find the gravitational force of interaction between the mass $m$ and an infinite rod of varying mass density $λ$ such that $λ (x) = λ / x$ , where $x$ is the distance from mass $m$ . Given that mass $m$ is placed at a distance $d$ from the end of the rod on its axis as shown in figure.

Discussion

36.	A conductor ABOCD moves along its bisector with a velocity of 1 ms−1 through a perpendicular magnetic field of 1 (Wb)m−2 as shown in the figure. If all the four sides are of 1 m length each, then the induced emf between point A and D is
Answer» A conductor ABOCD moves along its bisector with a velocity of $1 m s^{- 1}$ through a perpendicular magnetic field of $1 (W b) m^{- 2}$ as shown in the figure. If all the four sides are of $1 m$ length each, then the induced emf between point A and D is

Discussion

37.	The displacement versus time curve is given below. Match the nearest option. (Assuming curves to be parabolic) Column IColumn IIi.OAa. velocity increase with time linearlyii.ABb. velocity decreases with timeiii.BCc. velocity is independent of timeiv.CDd. velocity is zero
Answer» The displacement versus time curve is given below. Match the nearest option. (Assuming curves to be parabolic) $\begin{matrix} Column I & Column II i . O A & a. velocity increase with time linearly i i . A B & b. velocity decreases with time i i i . B C & c. velocity is independent of time i v . C D & d. velocity is zero \end{matrix}$

Discussion

38.	Two forces F1=(2^i–5^j−6^k) N and F2=(−^i+2^j−^k) N are acting on a body at the points (1,1,0) and (0,1,2) respectively. Find resultant torque acting on the body about point (−1,0,1) in (N-m).
Answer» Two forces $F_{1} = (2^i - 5^j - 6^k) N$ and $F_{2} = (-^i + 2^j -^k) N$ are acting on a body at the points $(1, 1, 0)$ and $(0, 1, 2)$ respectively. Find resultant torque acting on the body about point $(- 1, 0, 1)$ in $(N-m)$ .

Discussion

39.	A steel wire of length 116 cm is connected to an aluminum wire of length 150 cm and stretched between two fixed supports. The tension produced is 52 N. The cross-section of each wire is 2 mm2. If a transverse wave is set up in the wire, find the lowest frequency for which standing waves with a node at the joint are produced. (density of aluminum (ρal)=2.6 g/cm3 and density of steel (ρs)=7.8 g/cm3).
Answer» A steel wire of length $116 cm$ is connected to an aluminum wire of length $150 cm$ and stretched between two fixed supports. The tension produced is $52 N$ . The cross-section of each wire is $2 {mm}^{2}$ . If a transverse wave is set up in the wire, find the lowest frequency for which standing waves with a node at the joint are produced. (density of aluminum $(ρ_{a l}) = 2.6 {g/cm}^{3}$ and density of steel $(ρ_{s}) = 7.8 {g/cm}^{3})$ .

Discussion

40.	A steel wire of length 1 m and cross sectional area A is stretched by 1 cm under a given load. When the same load is applied to another steel wire of double length and half the cross-sectional area of the first one, the amount of stretching (extension) is
Answer» A steel wire of length $1 m$ and cross sectional area $A$ is stretched by $1 cm$ under a given load. When the same load is applied to another steel wire of double length and half the cross-sectional area of the first one, the amount of stretching (extension) is

Discussion

41.	A stone weighing 3 kg falls from the top of a tower 100 m high and buries itself 2 m deep in sand. Find the time (in seconds) of penetration (g=10 m/s2)
Answer» A stone weighing $3 kg$ falls from the top of a tower $100 m$ high and buries itself $2 m$ deep in sand. Find the time (in seconds) of penetration $(g = 10 {m/s}^{2})$

Discussion

42.	An elevator which is moving with an upward acceleration a. A coin is dropped from rest from the roof of the elevator, relative to you after what time the coin will strike he base of he elevator?
Answer» An elevator which is moving with an upward acceleration a. A coin is dropped from rest from the roof of the elevator, relative to you after what time the coin will strike he base of he elevator?

Discussion

43.	Is average velocity ; total displacement /total time (or) x2-x1 / t2-t1
Answer» Is average velocity ; total displacement /total time (or) x₂-x₁/ t₂-t₁

Discussion

44.	The equation of a plane progressive wave is given by y=0.025sin(100t+0.25x) Which of the following represents the velocity of the particle of medium through which the sinusoidal wave is propagating?
Answer» The equation of a plane progressive wave is given by $y = 0.025 sin (100 t + 0.25 x)$ Which of the following represents the velocity of the particle of medium through which the sinusoidal wave is propagating?

Discussion

45.	Two electric trains run at the same speed of 72 km/h along the same track and in the same direction with a separation of 2.4 km between them. The two trains simultaneously sound brief whistles. A person is situated at a perpendicular distance of 500 m from the track and is equidistant from the two trains at the instant of the whistling. If both the whistles were at 500 Hz and the speed of sound in air is 340 m/s, find the frequencies heard by the person.
Answer» Two electric trains run at the same speed of 72 km/h along the same track and in the same direction with a separation of 2.4 km between them. The two trains simultaneously sound brief whistles. A person is situated at a perpendicular distance of 500 m from the track and is equidistant from the two trains at the instant of the whistling. If both the whistles were at 500 Hz and the speed of sound in air is 340 m/s, find the frequencies heard by the person.

Discussion

46.	The frequency for which a 5 μ F capacitor has reactance of 11000Ω is given by
Answer» The frequency for which a 5 $μ$ F capacitor has reactance of $\frac{1}{1000} Ω$ is given by

Discussion

47.	A bucket full of water is placed in a room at 150 C with initial relative humidity 40 %. The volume of the room is 50 m3. (a) How much water will evaporate ? (b) If the room temperature is increased by 50 C, how much more water will evaporate ? The saturation vapour pressure of water at 150 C and 200 C are 1.6 kPa and 2.4 kPa respectively.
Answer» A bucket full of water is placed in a room at $15^{0}$ C with initial relative humidity 40 %. The volume of the room is 50 $m^{3}$ . (a) How much water will evaporate ? (b) If the room temperature is increased by $5^{0}$ C, how much more water will evaporate ? The saturation vapour pressure of water at $15^{0}$ C and $20^{0}$ C are 1.6 kPa and 2.4 kPa respectively.

Discussion

48.	In YDSE setup, light of wavelength 640 nm is used with d = 0.8 mm and D = 1 m. If intensity at central maxima is I0 and it's position is y = 0. Intensity at y = n mm is zero. Then find the minimum value of n (Answer upto 2 decimal places)
Answer» In YDSE setup, light of wavelength 640 nm is used with d = 0.8 mm and D = 1 m. If intensity at central maxima is $I_{0}$ and it's position is y = 0. Intensity at y = n mm is zero. Then find the minimum value of n (Answer upto 2 decimal places)

Discussion

49.	two blocks of mass 300 kg and 200 kg are moving toward Each Other along a horizontal frictionless surface with velocities of 50 M per second 100 M per second respectively find the final velocity of each block if the collision is completely elastic
Answer» two blocks of mass 300 kg and 200 kg are moving toward Each Other along a horizontal frictionless surface with velocities of 50 M per second 100 M per second respectively find the final velocity of each block if the collision is completely elastic

Discussion

50.	If E= hv, find the unit of h .
Answer» If E= hv, find the unit of h .

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Two mirrors placed at an angle of θ produces 5 images of an object placed symmetrically between the mirrors. The number of images produced when θ is decreased by 30∘ will be

Four point masses, each of mass m, are placed at the four corners of a square of edge ‘a’. The moment of inertia of the system about a line perpendicular to the plane of the square and passing through the centre of the square is

If a particle starts from A along the curved circular path shown in figure with tangential acceleration ‘a’. Then acceleration at B in magnitude is:

In a gravity free space, a man of mass M standing at a height h above the ﬂoor, throws a ball of mass m straight down with a speed u. When the ball reaches the floor, the distance of the man above the ﬂoor will be

The rectangular components of a vector are (2,2). The corresponding rectangular components of another vector are (1,√3) . Find the angle between the two vectors (in degree).

The charge flowing through a resistance R varies with time as q=2t−8t2. The total heat produced in the resistance (for 0≤ t ≤ 18) is

Three rods made of same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0∘C and 90∘C, respectively. The temperature of the junction of the three rods will be

When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is

A particle P is moving in a circle of radius ′a′ with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio

Three particles of masses 0.50 kg, 1.0 kg and 1.5 kg are placed at the three corners of a right-angles triangle of sides 3.0 cm, 4.0 cm and 5.0 cm as shown in figure. Locate the centre of mass of the system taking O as origin

A body is thrown with a velocity of 9.8 m/s making an angle of 30∘ with the horizontal. It will hit the ground after a time

A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to stop after 2π revolutions is

The acceleration of a body starting from rest is given by a=13–0.1s , where a is the acceleration (in m/s2) and s is the displacement (in m). If its mass is 2 kg, find its momentum when the displacement is 100 m.

A ball is dropped from a height. If it takes 0.2s to cross the last 6 m before hitting the ground, find the height from which it was dropped.

An elevator, in which a man is standing, is moving upward with a constant acceleration of 1 m/ s2. At some instant when speed of elevator is 10 m/s, the man drops a coin from a height of 2 m. Find the time taken by the coin the reach the floor. (g=9.8 m/s2).

At what angle should a ball be projected up an inclined plane with a velocity so that it may hit the incline normally. The angle of the inclined plane with the horizontal is α.

The resistance in ohms in the four arms of a Wheatstone bridge are as follows. In which combination of the following is the bridge balanced?

What is solid solid equilibrium?

If CuSO4(s) . 5H2O(s) ⇋CuSo4 . H2O(s) + 2H2O(g)Kp = 1.0 x 10−4 atm2 at 250∘. The efflorescent nature of CuSO4 . 5H2O can be noticed when vapour pressure of H2O in atmosphere is:

The equation of state of a gas is given by (P+aT2V)Vc=(RT+b), where a, b, c and R are constants. The isotherms can be represented by P=AVm−BVn , where A and B depend only on temperature and

An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will

A radioactive isotope is being produced at a constant rate dNdt = R in an experiment. The isotope has a half-life t12. Show that after a times t&gt;&gt; t12, the number of active nuclei will become constant. Find the value of this constant.

For a sound wave travelling towards +x direction, sinusoidal longitudinal displacement ξ at a certain time is given as a function of x(Figure). If bulk modulus of air is B=5×105N/m2, the variation of pressure excess will be

A body is released from the top of a tower of height h. It takes t sec to reach the ground. Where will be the ball after time t2 s.

Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of 20m/s2. Find the elongations.

Determine the unit vector parallel to the cross product of the vectors →A = −3^i + 5^j + 10^k and →B = −6^i + 5^j + 2^k

Two successive resonance frequencies in an open organ pipe are 1800 Hz and 2600 Hz. Find the length of the tube if the speed of sound in air is 340 m/s.

The dimensions of the coefficient of thermal conductivity are

The length of the second’s pendulum on the surface of earth is 1m. The length of second’s pendulum on the surface of moon, where g is 16th value of earth surface, is:

Find the gravitational force of interaction between the mass m and an infinite rod of varying mass density λ such that λ(x)=λ/x, where x is the distance from mass m. Given that mass m is placed at a distance d from the end of the rod on its axis as shown in figure.

A conductor ABOCD moves along its bisector with a velocity of 1 ms−1 through a perpendicular magnetic field of 1 (Wb)m−2 as shown in the figure. If all the four sides are of 1 m length each, then the induced emf between point A and D is

The displacement versus time curve is given below. Match the nearest option. (Assuming curves to be parabolic) Column IColumn IIi.OAa. velocity increase with time linearlyii.ABb. velocity decreases with timeiii.BCc. velocity is independent of timeiv.CDd. velocity is zero

Two forces F1=(2^i–5^j−6^k) N and F2=(−^i+2^j−^k) N are acting on a body at the points (1,1,0) and (0,1,2) respectively. Find resultant torque acting on the body about point (−1,0,1) in (N-m).

A steel wire of length 1 m and cross sectional area A is stretched by 1 cm under a given load. When the same load is applied to another steel wire of double length and half the cross-sectional area of the first one, the amount of stretching (extension) is

A stone weighing 3 kg falls from the top of a tower 100 m high and buries itself 2 m deep in sand. Find the time (in seconds) of penetration (g=10 m/s2)

An elevator which is moving with an upward acceleration a. A coin is dropped from rest from the roof of the elevator, relative to you after what time the coin will strike he base of he elevator?

Is average velocity ; total displacement /total time (or) x2-x1 / t2-t1

The equation of a plane progressive wave is given by y=0.025sin(100t+0.25x) Which of the following represents the velocity of the particle of medium through which the sinusoidal wave is propagating?

The frequency for which a 5 μ F capacitor has reactance of 11000Ω is given by

In YDSE setup, light of wavelength 640 nm is used with d = 0.8 mm and D = 1 m. If intensity at central maxima is I0 and it's position is y = 0. Intensity at y = n mm is zero. Then find the minimum value of n (Answer upto 2 decimal places)

two blocks of mass 300 kg and 200 kg are moving toward Each Other along a horizontal frictionless surface with velocities of 50 M per second 100 M per second respectively find the final velocity of each block if the collision is completely elastic

If E= hv, find the unit of h .

A radioactive isotope is being produced at a constant rate dNdt = R in an experiment. The isotope has a half-life t12. Show that after a times t>> t12, the number of active nuclei will become constant. Find the value of this constant.