50278 + Interview Questions in Physics

1.	In which of the following gaseous phase reactions, the value of Kp, will be equal to Kc:
Answer» In which of the following gaseous phase reactions, the value of $K_{p}$ , will be equal to $K_{c}$ :

Discussion

2.	A particle of mass m is executing oscillation about origin on x - axis. Its potential energy is U(x)=K\|X\|n. If the time period T is function of its mass, amplitude(a) and k; find the value of n for Tαa−12. ___
Answer» A particle of mass m is executing oscillation about origin on x - axis. Its potential energy is $U (x) = K \| X \|^{n}$ . If the time period T is function of its mass, amplitude(a) and k; find the value of n for $T α a^{- \frac{1}{2}}$ . ___

2.

A particle of mass m is executing oscillation about origin on x - axis. Its potential energy is U(x)=K|X|n. If the time period T is function of its mass, amplitude(a) and k; find the value of n for Tαa−12. ___

Answer»

A particle of mass m is executing oscillation about origin on x - axis. Its potential energy is $U (x) = K | X |^{n}$ . If

the time period T is function of its mass, amplitude(a) and k; find the value of n for $T α a^{- \frac{1}{2}}$ .

___

Discussion

3.	In SI units, a unit of charge is called a
Answer» In SI units, a unit of charge is called a

Discussion

4.	If momentum of an object is increased by 10%, then its kinetic energy will increase by a) 20% b) 21% c) 40% d) 19%.
Answer» If momentum of an object is increased by 10%, then its kinetic energy will increase by a) 20% b) 21% c) 40% d) 19%.

Discussion

5.	A rigid spherical body is spinning about an axis without any external torque . Due to change in temperature, the volume increases by 3 % . The angular speed will approximately 1. inc. by 2%2. dec. by 2%3. inc. by 1%4. dec. by 1%
Answer» A rigid spherical body is spinning about an axis without any external torque . Due to change in temperature, the volume increases by 3 % . The angular speed will approximately 1. inc. by 2% 2. dec. by 2% 3. inc. by 1% 4. dec. by 1%

Discussion

6.	A ball whose kinetic energy is E, is thrown at an angle of 45∘ with the horizontal. Its kinetic energy at the highest point of its trajectory will be
Answer» A ball whose kinetic energy is E, is thrown at an angle of $45^{\circ}$ with the horizontal. Its kinetic energy at the highest point of its trajectory will be

Discussion

7.	In a network as shown in the figure the potential difference across 2R is ( the cell has emf E volt and has no resistance) 1 2E 2 4E/7 3 E/7 4 E
Answer» In a network as shown in the figure the potential difference across 2R is ( the cell has emf E volt and has no resistance) 1 2E 2 4E/7 3 E/7 4 E

Discussion

8.	Consider the signal given below;x[n]=[1,−2,3↑,2,2]If X(ejω) is the discrete Fourier transform of x[n], then the value of ∫π−πX(ejω)e−jωdω is________-12.57
Answer» $Consider the signal given below; x [n] = [1, - 2, 3 ↑, 2, 2] If X (e^{j ω}) is the discrete Fourier transform of x[n], then the value of \int_{- π}^{π} X (e^{j ω}) e^{- j ω} d ω is________$ -12.57

Discussion

9.	A 750 Hz, 20 V source is connected to a resistance of 100 Ω, an inductance of 0.1803 H and a capacitance of 10 μF in series. Calculate the time in which the resistance which has thermal capacity 2 J/∘C will get heated by 10∘C.
Answer» A $750 Hz, 20 V$ source is connected to a resistance of $100 Ω$ , an inductance of $0.1803 H$ and a capacitance of $10 μ F$ in series. Calculate the time in which the resistance which has thermal capacity $2 J /^{\circ} C$ will get heated by $10^{\circ} C$ .

Discussion

10.	Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?Figure 5.17
Answer» Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse? Figure 5.17

10.

Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?Figure 5.17

Answer»

Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?

Figure 5.17

Discussion

11.	From a circular disc of radius R and mass 9M, a small disc of radius R3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is:
Answer» From a circular disc of radius R and mass 9M, a small disc of radius $\frac{R}{3}$ is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is:

Discussion

12.	Evaluate ∫x2sinx dx
Answer» Evaluate $\int x^{2} sin x d x$

Discussion

13.	Two blocks each of mass m are connected as shown in figure. Pulleys are smooth and light. The coefficient of static friction at all surfaces is μs. If inclination θ is increased gradually, 'θ' at which the blocks begin to slide is given by θ=tan−1(10μsP). Find the value of P.
Answer» Two blocks each of mass m are connected as shown in figure. Pulleys are smooth and light. The coefficient of static friction at all surfaces is $μ_{s}$ . If inclination $θ$ is increased gradually, ' $θ$ ' at which the blocks begin to slide is given by $θ = t a n^{- 1} (\frac{10 μ_{s}}{P})$ . Find the value of $P$ .

Discussion

14.	An electron of a stationary hydrogen atom makes a transition from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be (m is the mass of the electron, R is the Rydberg constant and h is the Planck's constant)
Answer» An electron of a stationary hydrogen atom makes a transition from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be ( $m$ is the mass of the electron, $R$ is the Rydberg constant and $h$ is the Planck's constant)

Discussion

15.	In diffraction (lamda)D/2a position of bright fringe is possible or not?
Answer» In diffraction (lamda)D/2a position of bright fringe is possible or not?

Discussion

16.	The figure shows two equal, positive charges, each of magnitude 50 μC, fixed at points (3,0)m and (−3,0)m respectively. A charge −50μC, moving along negative y-axis has a kinetic energy of 4 J at the instant it crosses point (0,4)m. The position on y axis (in m) of this charge where the direction of its motion reverses for the first time after crossing this point is 3√x then the value of x is (neglect gravity).
Answer» The figure shows two equal, positive charges, each of magnitude $50 μ C$ , fixed at points $(3, 0) m$ and $(- 3, 0) m$ respectively. A charge $- 50 μ C$ , moving along negative y-axis has a kinetic energy of $4 J$ at the instant it crosses point $(0, 4) m$ . The position on y axis (in $m$ ) of this charge where the direction of its motion reverses for the first time after crossing this point is $3 \sqrt{x}$ then the value of $x$ is (neglect gravity).

Discussion

17.	It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the moon.
Answer» It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the moon.

Discussion

18.	You are given two converging lenses of focal lengths 1.25 cm and 5 cm to design a compound microscope. If it is desired to have a magnification of 30, find out the separation between the object and the eyepiece.
Answer» You are given two converging lenses of focal lengths $1.25 cm$ and $5 cm$ to design a compound microscope. If it is desired to have a magnification of $30$ , find out the separation between the object and the eyepiece.

Discussion

19.	In a hydrogen atom, the electron makes 6.6×1015 revolutions per second around the nucleus in an orbit of radius 0.5×10−10 m. It is equivalent to a current nearly
Answer» In a hydrogen atom, the electron makes $6.6 \times 10^{15} revolutions per second$ around the nucleus in an orbit of radius $0.5 \times 10^{- 10} m$ . It is equivalent to a current nearly

Discussion

20.	A Young's double - slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the path difference is λ, is K units. The intensity of light at a point where the path difference is λ6 is given by nK12, where n is an integer. The value of n is ________.
Answer» A Young's double - slit experiment is performed using monochromatic light of wavelength $λ .$ The intensity of light at a point on the screen, where the path difference is $λ,$ is $K$ units. The intensity of light at a point where the path difference is $\frac{λ}{6}$ is given by $\frac{n K}{12}$ , where $n$ is an integer. The value of $n$ is ________ .

Discussion

21.	A capacitor having an initial charge 0.1 C, is discharging in a simple RC circuit with the time constant 3 seconds. How much charge will remain after 6 sec?
Answer» A capacitor having an initial charge 0.1 C, is discharging in a simple RC circuit with the time constant 3 seconds. How much charge will remain after 6 sec?

Discussion

22.	18.The periodic time of a particle doing simple harmonic motion is 4s . the time taken by it to go from its mean position to has the maximum displacement is
Answer» 18.The periodic time of a particle doing simple harmonic motion is 4s . the time taken by it to go from its mean position to has the maximum displacement is

Discussion

23.	Match the column - I with column - II, for an ideal gas going through following processes.
Answer» Match the column - I with column - II, for an ideal gas going through following processes.

Discussion

24.	The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?
Answer» The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?

Discussion

25.	A uniform magnetic field with a slit system is shown in the figure. This setup is to be used as a momentum fliter for high energy charged particles. With a field of B T, it is found that the filter transmits α-particle each of energy<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->5.3 MeV. The magnetic field is increased to 2.3B T and deutrons are passed into the filter. what is the energy of each deutron transmitted by filter?
Answer» A uniform magnetic field with a slit system is shown in the figure. This setup is to be used as a momentum fliter for high energy charged particles. With a field of $B T$ , it is found that the filter transmits $α$ -particle each of energy <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $5.3 MeV$ . The magnetic field is increased to $2.3 B T$ and deutrons are passed into the filter. what is the energy of each deutron transmitted by filter?

Discussion

26.	where should an object be placed in front of the mirror of focal length 15cm to have a magnification of 3 m in case of (i) real image (ii) virtual image
Answer» where should an object be placed in front of the mirror of focal length 15cm to have a magnification of 3 m in case of (i) real image (ii) virtual image

Discussion

27.	What does it mean to be 'out' in games? When does one get 'out' in Kabaddi?
Answer» What does it mean to be 'out' in games? When does one get 'out' in Kabaddi?

Discussion

28.	The condition such that the potential difference, VA−VB=0.
Answer» The condition such that the potential difference, $V_{A} - V_{B} = 0$ .

Discussion

29.	Ratio of energy of photon of wavelength 3000 ∘A and 6000 ∘A
Answer» Ratio of energy of photon of wavelength $3000 \circ A$ and $6000 \circ A$

Discussion

30.	A rod of length l having uniformly distributed charge Q is rotated about one end with constant frequency f. Its magnetic moment is
Answer» A rod of length $l$ having uniformly distributed charge $Q$ is rotated about one end with constant frequency $f$ . Its magnetic moment is

Discussion

31.	Obtain the answers (a) to (b) in Exercise 7.13 if the circuit is connected to a high frequency supply (240 V, 10 kHz). Hence, explain the statement that at very high frequency, an inductor in a circuit nearly amounts to an open circuit. How does an inductor behave in a dc circuit after the steady state?
Answer» Obtain the answers (a) to (b) in Exercise 7.13 if the circuit is connected to a high frequency supply (240 V, 10 kHz). Hence, explain the statement that at very high frequency, an inductor in a circuit nearly amounts to an open circuit. How does an inductor behave in a dc circuit after the steady state?

Discussion

32.	a particle moves along the curve given by x=t ,y=(t^2)/2 (when time=t). find the magnitude of centripetal acceleration when t=1
Answer» a particle moves along the curve given by x=t ,y=(t^2)/2 (when time=t). find the magnitude of centripetal acceleration when t=1

Discussion

33.	Find the value of F, if the tension in the string T1=36 N.(g=10 m/s2)
Answer» Find the value of $F$ , if the tension in the string $T_{1} = 36 N . (g = 10 {m/s}^{2}$ )

Discussion

34.	A current loop of area 0.01m2 and carrying a current of 100 A is held parallel to a magnetic field of intensity 0.1 tesla. The torque in Nm acting on the loop is:
Answer» A current loop of area 0.01m² and carrying a current of 100 A is held parallel to a magnetic field of intensity 0.1 tesla. The torque in Nm acting on the loop is:

Discussion

35.	A metal ball of radius a carries a charge Q. A grounded metal shell of radius b(>a) is concentric to the ball. Find the electrostatic potential energy of the system of the two spheres.
Answer» A metal ball of radius $a$ carries a charge $Q$ . A grounded metal shell of radius $b (> a)$ is concentric to the ball. Find the electrostatic potential energy of the system of the two spheres.

Discussion

36.	If a simple pendulum has point of suspension at rest, the period of oscillation T is related to length of the pendulum l as:
Answer» If a simple pendulum has point of suspension at rest, the period of oscillation $T$ is related to length of the pendulum $l$ as:

Discussion

37.	A uniform rod of length L and mass M is held vertical with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is g, what is the instantaneous angular speed of the rod when it makes an angle of 60∘ with the vertical?
Answer» A uniform rod of length $L$ and mass $M$ is held vertical with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is $g$ , what is the instantaneous angular speed of the rod when it makes an angle of $60^{\circ}$ with the vertical?

Discussion

38.	Can a gravitational field be added vectorially to an electric field to get a total field? Explain
Answer» Can a gravitational field be added vectorially to an electric field to get a total field? Explain

Discussion

39.	iˆ and jˆ are unit vectors along x- and y- axis respectively. What is the magnitude and direction of the vectors iˆ + jˆ, and iˆ − j ˆ? What are the components of a vector A= 2 iˆ + 3j ˆalong the directions of iˆ + j ˆand iˆ − jˆ? [You may use graphical method]
Answer» iˆ and jˆ are unit vectors along x- and y- axis respectively. What is the magnitude and direction of the vectors iˆ + jˆ, and iˆ − j ˆ? What are the components of a vector A= 2 iˆ + 3j ˆalong the directions of iˆ + j ˆand iˆ − jˆ? [You may use graphical method]

Discussion

40.	A boat can move with a speed of 5 km/h in still water. A river is flowing with a speed of 3 km/h and having a width of 10 km. The minimum time taken for a round trip to the exact same point is
Answer» A boat can move with a speed of $5 km/h$ in still water. A river is flowing with a speed of $3 km/h$ and having a width of $10 km$ . The minimum time taken for a round trip to the exact same point is

Discussion

41.	In a variable inductive transducer of coil has an inductance of 1.8 mH, when the effective turns on the coil is 25. The inductance of the coil (in mH) when the measured effective turns on the coil 50 is7.2
Answer» In a variable inductive transducer of coil has an inductance of $1.8 m H$ , when the effective turns on the coil is $25$ . The inductance of the coil $(i n m H)$ when the measured effective turns on the coil $50$ is 7.2

Discussion

42.	36 cells each of e.m.f. 2 volt and internal resistance 0.5 ohm are connected in mixed grouping so as to deliver maximum current to a bulb of resistance 2 ohm. How are they connected. What is the maximum current through the bulb (n=no. of bulbs in series and, m = no. of bulbs in parallel)
Answer» 36 cells each of e.m.f. 2 volt and internal resistance 0.5 ohm are connected in mixed grouping so as to deliver maximum current to a bulb of resistance 2 ohm. How are they connected. What is the maximum current through the bulb (n=no. of bulbs in series and, m = no. of bulbs in parallel)

Discussion

43.	A ball is thrown upward from the ground with an initial speed u . The ball is at height 80 m at two times . The time interval being 6 s . Find u ?
Answer» A ball is thrown upward from the ground with an initial speed u . The ball is at height 80 m at two times . The time interval being 6 s . Find u ?

Discussion

44.	Let g(x)=cosx2,f(x)=√x, and α, β(α<β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then the area (in sq. units) bounded by the curve y=(gof)(x) and the lines x=α, x=β and y=0, is:
Answer» Let $g (x) = cos x^{2}, f (x) = \sqrt{x},$ and $α, β (α < β)$ be the roots of the quadratic equation $18 x^{2} - 9 π x + π^{2} = 0.$ Then the area (in sq. units) bounded by the curve $y = (g o f) (x)$ and the lines $x = α, x = β$ and $y = 0,$ is:

Discussion

45.	If pulley shown in the diagram are smooth and massless and a1 and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then
Answer» If pulley shown in the diagram are smooth and massless and $a_{1}$ and $a_{2}$ are acceleration of blocks of mass $4 kg$ and $8 kg$ respectively, then

Discussion

46.	In the figure shown, find the tension at the midpoint of the rope of mass 2 kg connecting the masses 3 kg and 5 kg. Given F=30 N.
Answer» In the figure shown, find the tension at the midpoint of the rope of mass $2 kg$ connecting the masses $3 kg$ and $5 kg$ . Given $F = 30 N$ .

Discussion

47.	A particle moves along a circle of radius (20π m) with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is
Answer» A particle moves along a circle of radius $(\frac{20}{π} m)$ with constant tangential acceleration. If the velocity of the particle is $80 m / s$ at the end of the second revolution after motion has begun, the tangential acceleration is

Discussion

48.	A spring having spring constant k is cut into two parts in the ratio 1:3. If these parts are connected in parallel then the equivalent spring constant for the combination will be:
Answer» A spring having spring constant $k$ is cut into two parts in the ratio $1 : 3$ . If these parts are connected in parallel then the equivalent spring constant for the combination will be:

Discussion

49.	6AB5+D58C=9351 FIND THE VALUE OF A,B,C,D
Answer» 6AB5+D58C=9351 FIND THE VALUE OF A,B,C,D

Discussion

50.	A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is T0 (a) Find the speed of the ship due to rotation of the earth about its axis. (b) find the difference between T0 and the earth's atraction on the bob (c) If the ship sails at speed v, what is the tension in the string? Angular speed of earth's rotaton is ω and radius of the earth is R.
Answer» A pendulum having a bob of mass m is hanging in a ship sailing along the equator from east to west. When the ship is stationary with respect to water the tension in the string is $T_{0}$ (a) Find the speed of the ship due to rotation of the earth about its axis. (b) find the difference between $T_{0}$ and the earth's atraction on the bob (c) If the ship sails at speed v, what is the tension in the string? Angular speed of earth's rotaton is $ω$ and radius of the earth is R.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

In which of the following gaseous phase reactions, the value of Kp, will be equal to Kc:

A particle of mass m is executing oscillation about origin on x - axis. Its potential energy is U(x)=K|X|n. If the time period T is function of its mass, amplitude(a) and k; find the value of n for Tαa−12. ___

In SI units, a unit of charge is called a

If momentum of an object is increased by 10%, then its kinetic energy will increase by a) 20% b) 21% c) 40% d) 19%.

A rigid spherical body is spinning about an axis without any external torque . Due to change in temperature, the volume increases by 3 % . The angular speed will approximately 1. inc. by 2%2. dec. by 2%3. inc. by 1%4. dec. by 1%

A ball whose kinetic energy is E, is thrown at an angle of 45∘ with the horizontal. Its kinetic energy at the highest point of its trajectory will be

In a network as shown in the figure the potential difference across 2R is ( the cell has emf E volt and has no resistance) 1 2E 2 4E/7 3 E/7 4 E

Consider the signal given below;x[n]=[1,−2,3↑,2,2]If X(ejω) is the discrete Fourier transform of x[n], then the value of ∫π−πX(ejω)e−jωdω is________-12.57

A 750 Hz, 20 V source is connected to a resistance of 100 Ω, an inductance of 0.1803 H and a capacitance of 10 μF in series. Calculate the time in which the resistance which has thermal capacity 2 J/∘C will get heated by 10∘C.

Figure 5.17 shows the position-time graph of a body of mass 0.04 kg. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body? What is the magnitude of each impulse?Figure 5.17

From a circular disc of radius R and mass 9M, a small disc of radius R3 is removed. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is:

Evaluate ∫x2sinx dx

Two blocks each of mass m are connected as shown in figure. Pulleys are smooth and light. The coefficient of static friction at all surfaces is μs. If inclination θ is increased gradually, 'θ' at which the blocks begin to slide is given by θ=tan−1(10μsP). Find the value of P.

An electron of a stationary hydrogen atom makes a transition from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be (m is the mass of the electron, R is the Rydberg constant and h is the Planck's constant)

In diffraction (lamda)D/2a position of bright fringe is possible or not?

It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the moon.

You are given two converging lenses of focal lengths 1.25 cm and 5 cm to design a compound microscope. If it is desired to have a magnification of 30, find out the separation between the object and the eyepiece.

In a hydrogen atom, the electron makes 6.6×1015 revolutions per second around the nucleus in an orbit of radius 0.5×10−10 m. It is equivalent to a current nearly

A capacitor having an initial charge 0.1 C, is discharging in a simple RC circuit with the time constant 3 seconds. How much charge will remain after 6 sec?

18.The periodic time of a particle doing simple harmonic motion is 4s . the time taken by it to go from its mean position to has the maximum displacement is

Match the column - I with column - II, for an ideal gas going through following processes.

The pendulum of a certain clock has time period 2.04 s. How fast or slow does the clock run during 24 hours?

where should an object be placed in front of the mirror of focal length 15cm to have a magnification of 3 m in case of (i) real image (ii) virtual image

What does it mean to be 'out' in games? When does one get 'out' in Kabaddi?

The condition such that the potential difference, VA−VB=0.

Ratio of energy of photon of wavelength 3000 ∘A and 6000 ∘A

A rod of length l having uniformly distributed charge Q is rotated about one end with constant frequency f. Its magnetic moment is

a particle moves along the curve given by x=t ,y=(t^2)/2 (when time=t). find the magnitude of centripetal acceleration when t=1

Find the value of F, if the tension in the string T1=36 N.(g=10 m/s2)

A current loop of area 0.01m2 and carrying a current of 100 A is held parallel to a magnetic field of intensity 0.1 tesla. The torque in Nm acting on the loop is:

A metal ball of radius a carries a charge Q. A grounded metal shell of radius b(&gt;a) is concentric to the ball. Find the electrostatic potential energy of the system of the two spheres.

If a simple pendulum has point of suspension at rest, the period of oscillation T is related to length of the pendulum l as:

A uniform rod of length L and mass M is held vertical with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is g, what is the instantaneous angular speed of the rod when it makes an angle of 60∘ with the vertical?

Can a gravitational field be added vectorially to an electric field to get a total field? Explain

iˆ and jˆ are unit vectors along x- and y- axis respectively. What is the magnitude and direction of the vectors iˆ + jˆ, and iˆ − j ˆ? What are the components of a vector A= 2 iˆ + 3j ˆalong the directions of iˆ + j ˆand iˆ − jˆ? [You may use graphical method]

A boat can move with a speed of 5 km/h in still water. A river is flowing with a speed of 3 km/h and having a width of 10 km. The minimum time taken for a round trip to the exact same point is

In a variable inductive transducer of coil has an inductance of 1.8 mH, when the effective turns on the coil is 25. The inductance of the coil (in mH) when the measured effective turns on the coil 50 is7.2

36 cells each of e.m.f. 2 volt and internal resistance 0.5 ohm are connected in mixed grouping so as to deliver maximum current to a bulb of resistance 2 ohm. How are they connected. What is the maximum current through the bulb (n=no. of bulbs in series and, m = no. of bulbs in parallel)

A ball is thrown upward from the ground with an initial speed u . The ball is at height 80 m at two times . The time interval being 6 s . Find u ?

Let g(x)=cosx2,f(x)=√x, and α, β(α&lt;β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then the area (in sq. units) bounded by the curve y=(gof)(x) and the lines x=α, x=β and y=0, is:

If pulley shown in the diagram are smooth and massless and a1 and a2 are acceleration of blocks of mass 4 kg and 8 kg respectively, then

In the figure shown, find the tension at the midpoint of the rope of mass 2 kg connecting the masses 3 kg and 5 kg. Given F=30 N.

A particle moves along a circle of radius (20π m) with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is

A spring having spring constant k is cut into two parts in the ratio 1:3. If these parts are connected in parallel then the equivalent spring constant for the combination will be:

6AB5+D58C=9351 FIND THE VALUE OF A,B,C,D

A metal ball of radius a carries a charge Q. A grounded metal shell of radius b(>a) is concentric to the ball. Find the electrostatic potential energy of the system of the two spheres.

Let g(x)=cosx2,f(x)=√x, and α, β(α<β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then the area (in sq. units) bounded by the curve y=(gof)(x) and the lines x=α, x=β and y=0, is: