50278 + Interview Questions in Physics

1.	The dimensions of power are
Answer» The dimensions of power are

Discussion

2.	The wavelength of first line of the Lyman series for hydrogen is 1216A^o .The wavelength for the first line of this series for a 10 time ionised sodium atom will be a)1000 A^o b)100 A^o c)10 A^o d)1 A^o Kindly provide a detailed solutio
Answer» The wavelength of first line of the Lyman series for hydrogen is 1216A^o .The wavelength for the first line of this series for a 10 time ionised sodium atom will be a)1000 A^o b)100 A^o c)10 A^o d)1 A^o Kindly provide a detailed solutio

Discussion

3.	A 10gm bullet is fired from a 5kg rifle horizontally with a velocity of 500 m/s .Find the recoil velocity of the rifle.
Answer» A 10gm bullet is fired from a 5kg rifle horizontally with a velocity of 500 m/s .Find the recoil velocity of the rifle.

Discussion

4.	A particle is moving along a circular path with a constant speed of 10 ms−1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60∘ around the centre of the circle?
Answer» A particle is moving along a circular path with a constant speed of $10 {ms}^{- 1}$ . What is the magnitude of the change in velocity of the particle, when it moves through an angle of $60^{\circ}$ around the centre of the circle?

Discussion

5.	Two particles A and B of masses mA and mB respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are va and vB respectively, and the trajectories are as shown in the figure. Then:
Answer» Two particles A and B of masses $m_{A}$ and $m_{B}$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are $v_{a}$ and $v_{B}$ respectively, and the trajectories are as shown in the figure. Then:

Discussion

6.	In a Carnot heat engine, the temperature of source and sink are 500 K and 375 K respectively. The efficiency of engine is
Answer» In a Carnot heat engine, the temperature of source and sink are $500 K$ and $375 K$ respectively. The efficiency of engine is

Discussion

7.	The figure shows a straight small object kept in front of a convex lens and moving as shown in the figure. Which among the given options is the right way of representing the motion of its image?
Answer» The figure shows a straight small object kept in front of a convex lens and moving as shown in the figure. Which among the given options is the right way of representing the motion of its image?

7.

The figure shows a straight small object kept in front of a convex lens and moving as shown in the figure. Which among the given options is the right way of representing the motion of its image?

Answer»

The figure shows a straight small object kept in front of a convex lens and moving as shown in the figure.
Which among the given options is the right way of representing the motion of its image?

Discussion

8.	A metal surface of work function 1.07 eV is irradiated with light of wavelength 332 nm. The retarding potential required to stop the escape of photo-electrons is
Answer» A metal surface of work function 1.07 eV is irradiated with light of wavelength 332 nm. The retarding potential required to stop the escape of photo-electrons is

Discussion

9.	A toroid is shown in the figure Find the correct option about the magnetic field at point A, B and C.
Answer» A toroid is shown in the figure Find the correct option about the magnetic field at point $A, B$ and $C$ .

Discussion

10.	Three point charges 1 C,−2 C and −2 C are placed at the vertices of an equilateral triangle of side 1 m. The work done by an external force to increase the separation between the charges to 2 m is _________ J.
Answer» Three point charges $1 C, - 2 C$ and $- 2 C$ are placed at the vertices of an equilateral triangle of side $1 m$ . The work done by an external force to increase the separation between the charges to $2 m$ is _________ $J$ .

Discussion

11.	A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wein's constant b = 2.88 x 106 nm K. Then
Answer» A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is $U_{1}$ , between 999 nm and 1000 nm is $U_{2}$ and between 1499 nm and 1500 nm is $U_{3}$ . The Wein's constant b = 2.88 x $10^{6}$ nm K. Then

11.

A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wein's constant b = 2.88 x 106 nm K. Then

Answer»

A black body is at a temperature of 2880 K. The

energy of radiation emitted by this object with

wavelength between 499 nm and 500 nm is $U_{1}$ ,

between 999 nm and 1000 nm is $U_{2}$ and between

1499 nm and 1500 nm is $U_{3}$ . The Wein's constant

b = 2.88 x $10^{6}$ nm K. Then

Discussion

12.	75.A planet of mass M and radius r is surrounded by an atmosphere of constant density consisting of a gas of molar mass ¥.Determine thetemperature T of the atmosphere on the surface of the planet if the height of the atmosphere is h and R is the gas constant h
Answer» 75.A planet of mass M and radius r is surrounded by an atmosphere of constant density consisting of a gas of molar mass ¥.Determine thetemperature T of the atmosphere on the surface of the planet if the height of the atmosphere is h and R is the gas constant h <

Discussion

13.	A composite slab has two layers of different materials, having thermal conductivities k1 and k2. If each layer has same thickness, then what is the equivalent thermal conductivity of the slab?
Answer» A composite slab has two layers of different materials, having thermal conductivities $k_{1}$ and $k_{2}$ . If each layer has same thickness, then what is the equivalent thermal conductivity of the slab?

Discussion

14.	An aluminum rod and a copper rod are taken such that their lengths and resistance are same .The specific resistance of copper is half that of aluminum but its density is three times that of aluminum. The ratio of the mass of aluminum rod and that of copper rod will be
Answer» An aluminum rod and a copper rod are taken such that their lengths and resistance are same .The specific resistance of copper is half that of aluminum but its density is three times that of aluminum. The ratio of the mass of aluminum rod and that of copper rod will be

Discussion

15.	An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
Answer» An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

Discussion

16.	A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s2. After 10s, the ball is dropped from the balloonThe position time graph will be?
Answer» A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s². After 10s, the ball is dropped from the balloon The position time graph will be?

16.

A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s2. After 10s, the ball is dropped from the balloonThe position time graph will be?

Answer»

A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s². After 10s, the ball is dropped from the balloon

The position time graph will be?

Discussion

17.	what is the difference b/w coulombs law and electric field intensity ques
Answer» what is the difference b/w coulombs law and electric field intensity ques

Discussion

18.	A magnet of magnetic moment 50^iA−m2 is placed along the x - axis in a magnetic field →B=(0.5^i+3.0^j)T.The torque acting on the magnet is
Answer» A magnet of magnetic moment $50^i A - m^{2}$ is placed along the x - axis in a magnetic field $\to B = (0.5^i + 3.0^j) T$ .The torque acting on the magnet is

Discussion

19.	If the vectors →a+1343→b+→c, −→a+→b+→c and →a+μ→b+2→c are linearly dependent, then μ=
Answer» If the vectors $\to a + 1343 \to b + \to c, - \to a + \to b + \to c$ and $\to a + μ \to b + 2 \to c$ are linearly dependent, then $μ =$

Discussion

20.	Find the maximum magnifying power of a compound microscope having a 25 D objective lens, a 5 D eyepiece and a separation of 30 cm between the two lenses.
Answer» Find the maximum magnifying power of a compound microscope having a $25 D$ objective lens, a $5 D$ eyepiece and a separation of $30 cm$ between the two lenses.

Discussion

21.	A steel ball of 10 mm diameter at 1000 K is required to be cooled to 350 K by immersing it in a water environment at 300 K. The convective heat transfer coefficient is 1000 W/m2K. Thermal conductivity of steel is 40 W/mK. The time constant for the cooling process t is 16 s . The time required (in s) to reach the final temperature is
Answer» A steel ball of $10 m m$ diameter at $1000 K$ is required to be cooled to $350 K$ by immersing it in a water environment at $300 K .$ The convective heat transfer coefficient is $1000 W / m^{2} K$ . Thermal conductivity of steel is $40 W / m K .$ The time constant for the cooling process $t$ is $16 s$ . The time required (in s) to reach the final temperature is

Discussion

22.	Obtain the binding energy (in MeV) of a nitrogen nucleus ( )147 N ,given m ( )147 N =14.00307 u
Answer» Obtain the binding energy (in MeV) of a nitrogen nucleus ( )147 N ,given m ( )147 N =14.00307 u

Discussion

23.	A condensor of capacity C is charged to a potential difference of V1 .The plates of the condensor are then connected to an ideal inductor L. The current through the inductor when the potential difference across the condenser reduces to V2 is
Answer» A condensor of capacity C is charged to a potential difference of V1 .The plates of the condensor are then connected to an ideal inductor L. The current through the inductor when the potential difference across the condenser reduces to V2 is

Discussion

24.	The unit of plane angle is radian, hence its dimensions are
Answer» The unit of plane angle is radian, hence its dimensions are

Discussion

25.	Explain the cross product of two vectors.
Answer» Explain the cross product of two vectors.

Discussion

26.	A cart of mass M is tied at one end of a massless rope of length 10 m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. Initially, the man is at x = 0 and the cart at x = 10 m. If the man pulls the cart using the rope, the man and the cart will meet at the point
Answer» A cart of mass M is tied at one end of a massless rope of length 10 m. The other end of the rope is in the hands of a man of mass M. The entire system is on a smooth horizontal surface. Initially, the man is at x = 0 and the cart at x = 10 m. If the man pulls the cart using the rope, the man and the cart will meet at the point

Discussion

27.	8 charged drops of water each of radius 1mm and having a charge of 10^-10C , combine to form a bigger drop . determine the potential of bigger drop.
Answer» 8 charged drops of water each of radius 1mm and having a charge of 10^-10C , combine to form a bigger drop . determine the potential of bigger drop.

Discussion

28.	An extensible string is woung over a rough pulley of mass m1 and radius R; and a cylinder of mass m2 and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.
Answer» An extensible string is woung over a rough pulley of mass $m_{1}$ and radius R; and a cylinder of mass $m_{2}$ and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.

28.

An extensible string is woung over a rough pulley of mass m1 and radius R; and a cylinder of mass m2 and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.

Answer»

An extensible string is woung over a rough pulley of mass $m_{1}$ and radius R; and a cylinder of mass $m_{2}$ and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.

Discussion

29.	The radii of the two columns in U-tube are r1 and r2. When a liquid of density ρ (angle of contact is 0∘) is filled in it, the level difference of liquid in two arms is Δh. The surface tension of liquid is(g= acceleration due to gravity and r1<r2)
Answer» The radii of the two columns in U-tube are $r_{1}$ and $r_{2}$ . When a liquid of density $ρ$ (angle of contact is $0^{\circ}$ ) is filled in it, the level difference of liquid in two arms is $Δ h$ . The surface tension of liquid is ( $g =$ acceleration due to gravity and $r_{1} < r_{2}$ )

Discussion

30.	A body of mass 10 kg is lying on a rough plane inclined at an angle of 30∘ to the horizontal and the co-efficient of friction is 0.5. The minimum force required to pull the body up the plane is (g=9.8 m/s2)
Answer» A body of mass $10 kg$ is lying on a rough plane inclined at an angle of $30^{\circ}$ to the horizontal and the co-efficient of friction is $0.5$ . The minimum force required to pull the body up the plane is ( $g = 9.8 {m/s}^{2}$ )

Discussion

31.	The mass of silver coin is 10 gram. A person can carry a load of 40kg. How many persons will be required to carry one Avocado number of such coins?
Answer» The mass of silver coin is 10 gram. A person can carry a load of 40kg. How many persons will be required to carry one Avocado number of such coins?

Discussion

32.	The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters v1 and v2 reads 7.5v and 5v respectively then reading v3
Answer» The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters $v_{1}$ and $v_{2}$ reads 7.5v and 5v respectively then reading $v_{3}$

32.

The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters v1 and v2 reads 7.5v and 5v respectively then reading v3

Answer»

The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters $v_{1}$ and $v_{2}$ reads 7.5v and 5v respectively then reading $v_{3}$

Discussion

33.	A car is moving with speed 20m/s.Suddenly the driver sees the sign of danger at a distance of 50m.What is the maximum allowable reaction time for him if brakes can produce retardation of 5m?
Answer» A car is moving with speed 20m/s.Suddenly the driver sees the sign of danger at a distance of 50m.What is the maximum allowable reaction time for him if brakes can produce retardation of 5m?

Discussion

34.	In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is
Answer» In a collinear collision, a particle with an initial speed $v_{0}$ strikes a stationary particle of the same mass. If the final kinetic energy is $50 %$ greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is

Discussion

35.	A particle A of mass 107 kg is moving in the positive x− direction. Its initial position is x=0 and initial velocity is 1 m/s. The velocity at x=10 m in m/s (use the graph given). Answer the nearest integer.
Answer» A particle $A$ of mass $\frac{10}{7} kg$ is moving in the positive $x -$ direction. Its initial position is $x = 0$ and initial velocity is $1 m/s$ . The velocity at $x = 10 m$ in $m/s$ (use the graph given). Answer the nearest integer.

Discussion

36.	Figure shows an equilateral triangular frame of side L. Frame starts entering into the region of uniform magnetic field B with constant velocity v. If i is instantaneous current through the frame, then the correct graph is. Take anticlockwise current direction to be positive.
Answer» Figure shows an equilateral triangular frame of side L. Frame starts entering into the region of uniform magnetic field B with constant velocity v. If i is instantaneous current through the frame, then the correct graph is. Take anticlockwise current direction to be positive.

Discussion

37.	integration of x-2 dx limit 4and 0
Answer» integration of x-2 dx limit 4and 0

Discussion

38.	A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0<x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)
Answer» A parallel plate capacitor, with plate area $^{'} A^{'}$ and distance of separation $^{'} d^{'}$ , is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: $ϵ (x) = ϵ_{0} + k x,$ for $(0 < x \leq \frac{d}{2})$ $ϵ (x) = ϵ_{0} + k (d - x)$ , for $(\frac{d}{2} \leq x \leq d)$

Discussion

39.	A metallic shell has a point charge ‘q’ kept inside its cavity. Which one of the following diagrams correctly represents the electric lines of forces
Answer» A metallic shell has a point charge ‘q’ kept inside its cavity. Which one of the following diagrams correctly represents the electric lines of forces

Discussion

40.	A proton is fired from with velocity →v=v0^j+v0^k in a uniform magnetic field →B=B0^j (Take m=mass and q= charge). y-coordinate of the particle after half revolution.
Answer» A proton is fired from with velocity $\to v = v_{0}^j + v_{0}^k$ in a uniform magnetic field $\to B = B_{0}^j$ (Take $m =$ mass and $q =$ charge). $y-$ coordinate of the particle after half revolution.

Discussion

41.	Derive equation of momentum for collision in two dimension?
Answer» Derive equation of momentum for collision in two dimension?

Discussion

42.	An object of mass 1 kg moving on a horizontal surface with inital velocity 8m/s comes to rest after 10s. If one wants to keep the object moving on the same surface with velocity 8m/s the force required is ?
Answer» An object of mass 1 kg moving on a horizontal surface with inital velocity 8m/s comes to rest after 10s. If one wants to keep the object moving on the same surface with velocity 8m/s the force required is ?

Discussion

43.	A particle is given an initial speed u inside a smooth spherical shell of radius R=1 m and it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is:
Answer» A particle is given an initial speed $u$ inside a smooth spherical shell of radius $R = 1 m$ and it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is:

Discussion

44.	37.Time taken by the sunlight to pass through a window of thickness 4mm whose refractive index is 1.5 ,is \lbrack assuming sunlight falls perpendicularly on the window \rbrack 1.2\ast10^-11s 2.2\ast10^11s 3.2\ast10^8s 4.2\ast10^-8s
Answer» 37.Time taken by the sunlight to pass through a window of thickness 4mm whose refractive index is 1.5 ,is \lbrack assuming sunlight falls perpendicularly on the window \rbrack 1.2\ast10^-11s 2.2\ast10^11s 3.2\ast10^8s 4.2\ast10^-8s

Discussion

45.	A particle is subjected to two SHMs of displacement x1=5sin(ωt+30∘) and x2=3sin(ωt+120∘) respectively. Find out the amplitude of the resulting SHM.
Answer» A particle is subjected to two SHMs of displacement $x_{1} = 5 sin (ω t + 30^{\circ})$ and $x_{2} = 3 sin (ω t + 120^{\circ})$ respectively. Find out the amplitude of the resulting SHM.

Discussion

46.	Thermal resistance (R) of a spherical shell having inner radius r1 and outer radius r2 is given by,(K is the thermal conductivity of the shell.)
Answer» Thermal resistance $(R)$ of a spherical shell having inner radius $r_{1}$ and outer radius $r_{2}$ is given by, ( $K$ is the thermal conductivity of the shell.)

Discussion

47.	Why does work done not depend on time ? If we take W=F.s =>W=ma.s =>W=m(v-u/t).s....…………(I) From this equation (I) we can conclude that work done is inversely proportional to time. Is it correct?
Answer» Why does work done not depend on time ? If we take W=F.s =>W=ma.s =>W=m(v-u/t).s....…………(I) From this equation (I) we can conclude that work done is inversely proportional to time. Is it correct?

47.

Why does work done not depend on time ? If we take W=F.s =>W=ma.s =>W=m(v-u/t).s....…………(I) From this equation (I) we can conclude that work done is inversely proportional to time. Is it correct?

Answer»

Why does work done not depend on time ?

If we take

W=F.s

=>W=ma.s

=>W=m(v-u/t).s....…………(I)

From this equation (I) we can conclude that work done is inversely proportional to time.

Is it correct?

Discussion

48.	In an a.c circuit, the resistance R=0.2 Ω. At a certain instant VA−VB=0.5 V , i=0.5 A and the current i is increasing at the rate of ΔiΔt=8 As−1. The inductance of the coil is
Answer» In an a.c circuit, the resistance $R = 0.2 Ω$ . At a certain instant $V_{A} - V_{B} = 0.5 V, i = 0.5 A$ and the current $i$ is increasing at the rate of $\frac{Δ i}{Δ t} = 8 {As}^{- 1}$ . The inductance of the coil is

Discussion

49.	Let d1,d2 be the longest and shortest distance of a point P(7,2) from the curve x2+y2−10x−14y−51=0. Then the geometric mean of d1 and d2 is equal to
Answer» Let $d_{1}, d_{2}$ be the longest and shortest distance of a point $P (7, 2)$ from the curve $x^{2} + y^{2} - 10 x - 14 y - 51 = 0.$ Then the geometric mean of $d_{1}$ and $d_{2}$ is equal to

Discussion

50.	if the value of acceleration due to gravity at a place decreases by 3% then find the change in the height of mercury in a baromete at that place
Answer» if the value of acceleration due to gravity at a place decreases by 3% then find the change in the height of mercury in a baromete at that place

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

The dimensions of power are

The wavelength of first line of the Lyman series for hydrogen is 1216A^o .The wavelength for the first line of this series for a 10 time ionised sodium atom will be a)1000 A^o b)100 A^o c)10 A^o d)1 A^o Kindly provide a detailed solutio

A 10gm bullet is fired from a 5kg rifle horizontally with a velocity of 500 m/s .Find the recoil velocity of the rifle.

A particle is moving along a circular path with a constant speed of 10 ms−1. What is the magnitude of the change in velocity of the particle, when it moves through an angle of 60∘ around the centre of the circle?

Two particles A and B of masses mA and mB respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are va and vB respectively, and the trajectories are as shown in the figure. Then:

In a Carnot heat engine, the temperature of source and sink are 500 K and 375 K respectively. The efficiency of engine is

The figure shows a straight small object kept in front of a convex lens and moving as shown in the figure. Which among the given options is the right way of representing the motion of its image?

A metal surface of work function 1.07 eV is irradiated with light of wavelength 332 nm. The retarding potential required to stop the escape of photo-electrons is

A toroid is shown in the figure Find the correct option about the magnetic field at point A, B and C.

Three point charges 1 C,−2 C and −2 C are placed at the vertices of an equilateral triangle of side 1 m. The work done by an external force to increase the separation between the charges to 2 m is _________ J.

A black body is at a temperature of 2880 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wein's constant b = 2.88 x 106 nm K. Then

75.A planet of mass M and radius r is surrounded by an atmosphere of constant density consisting of a gas of molar mass ¥.Determine thetemperature T of the atmosphere on the surface of the planet if the height of the atmosphere is h and R is the gas constant h

A composite slab has two layers of different materials, having thermal conductivities k1 and k2. If each layer has same thickness, then what is the equivalent thermal conductivity of the slab?

An aluminum rod and a copper rod are taken such that their lengths and resistance are same .The specific resistance of copper is half that of aluminum but its density is three times that of aluminum. The ratio of the mass of aluminum rod and that of copper rod will be

An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s2. After 10s, the ball is dropped from the balloonThe position time graph will be?

what is the difference b/w coulombs law and electric field intensity ques

A magnet of magnetic moment 50^iA−m2 is placed along the x - axis in a magnetic field →B=(0.5^i+3.0^j)T.The torque acting on the magnet is

If the vectors →a+1343→b+→c, −→a+→b+→c and →a+μ→b+2→c are linearly dependent, then μ=

Find the maximum magnifying power of a compound microscope having a 25 D objective lens, a 5 D eyepiece and a separation of 30 cm between the two lenses.

Obtain the binding energy (in MeV) of a nitrogen nucleus ( )147 N ,given m ( )147 N =14.00307 u

A condensor of capacity C is charged to a potential difference of V1 .The plates of the condensor are then connected to an ideal inductor L. The current through the inductor when the potential difference across the condenser reduces to V2 is

The unit of plane angle is radian, hence its dimensions are

Explain the cross product of two vectors.

8 charged drops of water each of radius 1mm and having a charge of 10^-10C , combine to form a bigger drop . determine the potential of bigger drop.

An extensible string is woung over a rough pulley of mass m1 and radius R; and a cylinder of mass m2 and radius R such that as the cylinder rolls down the string un-wounds over the pulley as well the cylinder. Find the linear acceleration of the cylinder.

The radii of the two columns in U-tube are r1 and r2. When a liquid of density ρ (angle of contact is 0∘) is filled in it, the level difference of liquid in two arms is Δh. The surface tension of liquid is(g= acceleration due to gravity and r1&lt;r2)

A body of mass 10 kg is lying on a rough plane inclined at an angle of 30∘ to the horizontal and the co-efficient of friction is 0.5. The minimum force required to pull the body up the plane is (g=9.8 m/s2)

The mass of silver coin is 10 gram. A person can carry a load of 40kg. How many persons will be required to carry one Avocado number of such coins?

The figure shows a portion of a circuit. Resistor are known and indicated on diagram and voltmeter are identical. If voltmeters v1 and v2 reads 7.5v and 5v respectively then reading v3

A car is moving with speed 20m/s.Suddenly the driver sees the sign of danger at a distance of 50m.What is the maximum allowable reaction time for him if brakes can produce retardation of 5m?

In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is

A particle A of mass 107 kg is moving in the positive x− direction. Its initial position is x=0 and initial velocity is 1 m/s. The velocity at x=10 m in m/s (use the graph given). Answer the nearest integer.

Figure shows an equilateral triangular frame of side L. Frame starts entering into the region of uniform magnetic field B with constant velocity v. If i is instantaneous current through the frame, then the correct graph is. Take anticlockwise current direction to be positive.

integration of x-2 dx limit 4and 0

A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0&lt;x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)

A metallic shell has a point charge ‘q’ kept inside its cavity. Which one of the following diagrams correctly represents the electric lines of forces

A proton is fired from with velocity →v=v0^j+v0^k in a uniform magnetic field →B=B0^j (Take m=mass and q= charge). y-coordinate of the particle after half revolution.

Derive equation of momentum for collision in two dimension?

An object of mass 1 kg moving on a horizontal surface with inital velocity 8m/s comes to rest after 10s. If one wants to keep the object moving on the same surface with velocity 8m/s the force required is ?

A particle is given an initial speed u inside a smooth spherical shell of radius R=1 m and it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is:

37.Time taken by the sunlight to pass through a window of thickness 4mm whose refractive index is 1.5 ,is \lbrack assuming sunlight falls perpendicularly on the window \rbrack 1.2\ast10^-11s 2.2\ast10^11s 3.2\ast10^8s 4.2\ast10^-8s

A particle is subjected to two SHMs of displacement x1=5sin(ωt+30∘) and x2=3sin(ωt+120∘) respectively. Find out the amplitude of the resulting SHM.

Thermal resistance (R) of a spherical shell having inner radius r1 and outer radius r2 is given by,(K is the thermal conductivity of the shell.)

Why does work done not depend on time ? If we take W=F.s =&gt;W=ma.s =&gt;W=m(v-u/t).s....…………(I) From this equation (I) we can conclude that work done is inversely proportional to time. Is it correct?

In an a.c circuit, the resistance R=0.2 Ω. At a certain instant VA−VB=0.5 V , i=0.5 A and the current i is increasing at the rate of ΔiΔt=8 As−1. The inductance of the coil is

Let d1,d2 be the longest and shortest distance of a point P(7,2) from the curve x2+y2−10x−14y−51=0. Then the geometric mean of d1 and d2 is equal to

if the value of acceleration due to gravity at a place decreases by 3% then find the change in the height of mercury in a baromete at that place

The radii of the two columns in U-tube are r1 and r2. When a liquid of density ρ (angle of contact is 0∘) is filled in it, the level difference of liquid in two arms is Δh. The surface tension of liquid is(g= acceleration due to gravity and r1<r2)

A parallel plate capacitor, with plate area ′A′ and distance of separation ′d′, is filled with a dielectric. What is the capacity of the capacitor when permittivity of the dielectric varies as follows: ϵ(x)=ϵ0+kx, for (0<x≤d2)ϵ(x)=ϵ0+k(d−x), for (d2≤x≤d)

Why does work done not depend on time ? If we take W=F.s =>W=ma.s =>W=m(v-u/t).s....…………(I) From this equation (I) we can conclude that work done is inversely proportional to time. Is it correct?