50278 + Interview Questions in Physics

1.	A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. Ratio of mass of concrete to mass of sawdust will be
Answer» A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. Ratio of mass of concrete to mass of sawdust will be

Discussion

2.	The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=(−7x+24y)J;x and y and y being measured in m. If the particle starts from origin from rest, the magnitude of the conservative force acting on the particle is
Answer» The potential energy of a particle of mass 5 kg moving in the x-y plane is given by $U = (- 7 x + 24 y) J; x a n d y$ and y being measured in m. If the particle starts from origin from rest, the magnitude of the conservative force acting on the particle is

Discussion

3.	In a common base transistor circuit, the current gain is 0.98. On changing emitter current by 5 mA, the change in collector current is
Answer» In a common base transistor circuit, the current gain is 0.98. On changing emitter current by 5 mA, the change in collector current is

Discussion

4.	The figure shows a uniform metal ball suspended by a thread of negligible mass from an upright cylinder that is partially submerged in water. The cylinder has height 6 cm, face area 11 cm2 on the top and bottom, and density 0.5 g/cm3. 4 cm of the cylinder's height is inside the water surface and density of the metal ball is 8 g/cm3. If R is the radius of the ball such that R3=3α cm3, where α is an integer, then α is (ρw=1 g/cm3 and the system is in equilibrium). Write upto two digits after the decimal point.
Answer» The figure shows a uniform metal ball suspended by a thread of negligible mass from an upright cylinder that is partially submerged in water. The cylinder has height $6 c m$ , face area $11 c m^{2}$ on the top and bottom, and density $0.5 g / c m^{3}$ . $4 c m$ of the cylinder's height is inside the water surface and density of the metal ball is $8 g / c m^{3}$ . If R is the radius of the ball such that $R^{3} = \frac{3}{α} c m^{3}$ , where $α$ is an integer, then $α$ is ( $ρ_{w} = 1 g / c m^{3}$ and the system is in equilibrium). Write upto two digits after the decimal point.

Discussion

5.	From a solid sphere of mass M and radius R, a spherical portion of radius R2 is removed, as shown in the figure. Taking gravitational potential V=0 at r=∞ , the potential at the centre of the cavity thus formed is(G= gravitational constant)
Answer» From a solid sphere of mass $M$ and radius $R$ , a spherical portion of radius $\frac{R}{2}$ is removed, as shown in the figure. Taking gravitational potential $V = 0$ at $r = \infty$ , the potential at the centre of the cavity thus formed is ( $G =$ gravitational constant)

Discussion

6.	The length, breadth and thickness of a metal block is given by l=9 cm,b=8 cm,t=2.45 cm. The volume of the block is (consider the concepts of significant digits)
Answer» The length, breadth and thickness of a metal block is given by $l = 9 cm, b = 8 cm, t = 2.45 cm$ . The volume of the block is (consider the concepts of significant digits)

Discussion

7.	A thin glass rod is bent into a semicircle of radius r. A charge +Q is uniformly distributed along the upper half and a charge –Q is uniformly distributed along the lower half, as shown in the figure. The electric field E at, P (the centre of the semicircle, is)
Answer» A thin glass rod is bent into a semicircle of radius r. A charge +Q is uniformly distributed along the upper half and a charge –Q is uniformly distributed along the lower half, as shown in the figure. The electric field E at, P (the centre of the semicircle, is)

Discussion

8.	Three objects A (solid sphere), B (thin circular disk) and C (circular ring) each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation
Answer» Three objects $A$ (solid sphere), $B$ (thin circular disk) and $C$ (circular ring) each have the same mass $M$ and radius $R$ . They all spin with the same angular speed $ω$ about their own symmetry axes. The amounts of work ( $W$ ) required to bring them to rest, would satisfy the relation

Discussion

9.	A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink should be (density of wood=600Kg/m3)
Answer» A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink should be (density of wood=600Kg/m³)

Discussion

10.	A circular insulated copper wire loop is twisted to form two loops of area A and 2A as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field B point into the plane of the paper. At t=0, the loop starts rotating about the common diameter as axis with a constant angular velocity ω in the magnetic field. Which of the following options is/are correct?
Answer» A circular insulated copper wire loop is twisted to form two loops of area $A$ and $2 A$ as shown in the figure. At the point of crossing the wires remain electrically insulated from each other. The entire loop lies in the plane (of the paper). A uniform magnetic field $B$ point into the plane of the paper. At $t = 0$ , the loop starts rotating about the common diameter as axis with a constant angular velocity $ω$ in the magnetic field. Which of the following options is/are correct?

Discussion

11.	A system of units uses force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimension of length in the system is
Answer» A system of units uses force $(F)$ , acceleration $(A)$ and time $(T)$ as their fundamental physical quantities. The dimension of length in the system is

Discussion

12.	The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is
Answer» The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

Discussion

13.	Racemic mixture is formed by mixing two
Answer» Racemic mixture is formed by mixing two

Discussion

14.	Which one is not the correct relation in the following
Answer» Which one is not the correct relation in the following

Discussion

15.	What is the difference between the dot product and cross product of two vectors?
Answer» What is the difference between the dot product and cross product of two vectors?

Discussion

16.	A hollow tilted cylindrical vessel of negligible mass rests on a horizontal plane as known. The diameter of the base is a and the side of the cylinder makes an angle q with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height h, given by.
Answer» A hollow tilted cylindrical vessel of negligible mass rests on a horizontal plane as known. The diameter of the base is a and the side of the cylinder makes an angle q with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height h, given by.

16.

A hollow tilted cylindrical vessel of negligible mass rests on a horizontal plane as known. The diameter of the base is a and the side of the cylinder makes an angle q with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height h, given by.

Answer»

A hollow tilted cylindrical vessel of negligible mass rests on a horizontal plane as known. The diameter of the base is a and the side of the cylinder makes an angle q with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height h, given by.

Discussion

17.	Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks v1, v2 and v3 are shown in the figure. What is the relationship between v1, v2 and v3?
Answer» Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks $v_{1}, v_{2}$ and $v_{3}$ are shown in the figure. What is the relationship between $v_{1}, v_{2}$ and $v_{3}$ ?

Discussion

18.	A heavy particle hanging from a fixed point by a light in extensible string of length l is projected horizontally with speed √(gl). Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string is equal to the weight of the particle.
Answer» A heavy particle hanging from a fixed point by a light in extensible string of length l is projected horizontally with speed $\sqrt{(g l)}$ . Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string is equal to the weight of the particle.

Discussion

19.	If velocity of particle is given by v=2t4, then its acceleration dvdt at any time t will be given by
Answer» If velocity of particle is given by $v = 2 t^{4}$ , then its acceleration $\frac{d v}{d t}$ at any time $t$ will be given by

Discussion

20.	Who proposed odometer and uses of these?
Answer» Who proposed odometer and uses of these?

Discussion

21.	If the momentum of a photon is p, then its frequency is Where m is the rest mass of the photon
Answer» If the momentum of a photon is p, then its frequency is Where m is the rest mass of the photon

Discussion

22.	The displacement (x) of a particle along a straight line at time t is given by x=a0+a12t+a23t2, the acceleration of the particle is
Answer» The displacement $(x)$ of a particle along a straight line at time $t$ is given by $x = a_{0} + \frac{a_{1}}{2} t + \frac{a_{2}}{3} t^{2}$ , the acceleration of the particle is

Discussion

23.	Convert the angles in radians i. 120∘ ii. 270∘
Answer» Convert the angles in radians i. $120^{\circ}$ ii. $270^{\circ}$

Discussion

24.	In photo electric effect, the K.E of electrons emitted from the metal surface depends upon
Answer» In photo electric effect, the K.E of electrons emitted from the metal surface depends upon

Discussion

25.	In Young’s double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the slits. A dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of the light is
Answer» In Young’s double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the slits. A dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of the light is

Discussion

26.	A non-conducting disc of radius 1m has charge distributed over its surface. The surface density of charge at a point is given by σ=A–Br;0≤r≤1 where r is the distance of point from the centre of the disc. The disc is rotated with an angular velocity ω about an axis passing through its centre and perpendicular to disc. Then
Answer» A non-conducting disc of radius 1m has charge distributed over its surface. The surface density of charge at a point is given by $σ = A - B r; 0 \leq r \leq 1$ where r is the distance of point from the centre of the disc. The disc is rotated with an angular velocity $ω$ about an axis passing through its centre and perpendicular to disc. Then

Discussion

27.	(a) A student wants to use two p-n junction diodes to convert alternating current into direct current. Draw the labelled circuit diagram she would use and explain how it works. (b) Give the truth table and circuit symbol for NAND gate.
Answer» (a) A student wants to use two p-n junction diodes to convert alternating current into direct current. Draw the labelled circuit diagram she would use and explain how it works. (b) Give the truth table and circuit symbol for NAND gate.

Discussion

28.	Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be
Answer» Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be

Discussion

29.	In order to meet the growing demand for electricity, India needs to add ______of new capacity, whereas at present India is able to add only ______ a year.
Answer» In order to meet the growing demand for electricity, India needs to add ______of new capacity, whereas at present India is able to add only ______ a year.

Discussion

30.	The natural frequency of a L-C circuit is equal to
Answer» The natural frequency of a L-C circuit is equal to

Discussion

31.	A wedge of mass m3 is placed on a smooth horizontal surface. Blocks of mass m1 and m2 are placed on the smooth inclined faces of m3 as shown. If m3 does not move, the ratio m2m1 is equal to
Answer» A wedge of mass $m_{3}$ is placed on a smooth horizontal surface. Blocks of mass $m_{1} and m_{2}$ are placed on the smooth inclined faces of $m_{3}$ as shown. If $m_{3}$ does not move, the ratio $\frac{m_{2}}{m_{1}}$ is equal to

Discussion

32.	In the circuit shown below what will be the reading of the voltmeter and ammeter respectively?
Answer» In the circuit shown below what will be the reading of the voltmeter and ammeter respectively?

Discussion

33.	A cylindrical metal tube has a length of 50 cm and is , open at both ends. Find the frequencies between 1000 Hz and 2000 Hz at which the air column in the tube can resonate. Speed of sound in air is 340ms−1.
Answer» A cylindrical metal tube has a length of 50 cm and is , open at both ends. Find the frequencies between 1000 Hz and 2000 Hz at which the air column in the tube can resonate. Speed of sound in air is $340 m s^{- 1}$ .

Discussion

34.	A progressive wave is represented by y=0.5 cos (5x−ωt). When it superimposes on another wave a node is formed at x=0 The equation of the second wave is
Answer» A progressive wave is represented by $y = 0.5 c o s (5 x - ω t)$ . When it superimposes on another wave a node is formed at $x = 0$ The equation of the second wave is

Discussion

35.	A force F = 20 + 10y acts on a particle in y-direction, where F is in Newtons and y is in metres. Work done by the force to move the particle from y=0 to y=1 m is
Answer» A force $F = 20 + 10 y$ acts on a particle in y-direction, where $F$ is in Newtons and $y$ is in metres. Work done by the force to move the particle from $y = 0$ to $y = 1 m$ is

Discussion

36.	Avalanche break down in a semiconductor diode occurs when:
Answer» Avalanche break down in a semiconductor diode occurs when:

Discussion

37.	A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=βx−2n ,where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by :
Answer» A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to $v (x) = β x^{- 2 n}$ ,where $β$ and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by :

Discussion

38.	A solid cylindrical conductor of radius R1 is kept inside a hollow cylindrical conductor of inner radius R2 and outer radius R3(R1<R2<R3) in a co - axial manner, as shown. The solid cylinder carries a current I1 and the hollow conductor carries current I2 in the opposite directions. The two conductors are kept insulated from each other and current through each is distributed uniformly over the cross–section. Let r be any radial distance from the axis. Magnitude of magnetic induction B at points outside the solid conductor such that R1<r<R2 will be
Answer» A solid cylindrical conductor of radius $R_{1}$ is kept inside a hollow cylindrical conductor of inner radius $R_{2}$ and outer radius $R_{3} (R_{1} < R_{2} < R_{3})$ in a co - axial manner, as shown. The solid cylinder carries a current $I_{1}$ and the hollow conductor carries current $I_{2}$ in the opposite directions. The two conductors are kept insulated from each other and current through each is distributed uniformly over the cross–section. Let r be any radial distance from the axis. Magnitude of magnetic induction B at points outside the solid conductor such that $R_{1} < r < R_{2}$ will be

Discussion

39.	In a situation shown below, if the length of seconds hand is 30π cm, find the magnitude of change in velocity of the tip of the seconds hand.
Answer» In a situation shown below, if the length of seconds hand is $\frac{30}{π} cm$ , find the magnitude of change in velocity of the tip of the seconds hand.

Discussion

40.	Find the relation between the acceleration of sphere (a) and acceleration of wedge (b) in the figure shown
Answer» Find the relation between the acceleration of sphere $(a)$ and acceleration of wedge $(b)$ in the figure shown

Discussion

41.	A circular wire frame is made of four uniform quarter circular wires of same radius and of mass per unit length λ,2λ,3λ and 4λ as shown in figure. Assuming the origin to be at the centre of the circle, which of the following options is (are) correct?
Answer» A circular wire frame is made of four uniform quarter circular wires of same radius and of mass per unit length $λ, 2 λ, 3 λ$ and $4 λ$ as shown in figure. Assuming the origin to be at the centre of the circle, which of the following options is (are) correct?

Discussion

42.	A parallel plate capacitor of capacitance 20μF is being charged by a voltage source whose potential is changing at the rate of 3Vs−1. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively :
Answer» A parallel plate capacitor of capacitance $20 μ F$ is being charged by a voltage source whose potential is changing at the rate of $3 V s^{- 1}$ . The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively :

Discussion

43.	A projectile of mass 3m is projected from the ground with a velocity 30 m/s at 45∘ with the horizontal. At the highest point, it explodes into two pieces. One of pieces has mass 2m and the other has mass m. Both the pieces fly off after explosion. Mass 2m falls at a distance of 100 m from the point of projection. Find the distance of second mass from the point of projection, where it strikes the ground. (Take g=10 m/s2)
Answer» A projectile of mass $3 m$ is projected from the ground with a velocity $30 m/s$ at $45^{\circ}$ with the horizontal. At the highest point, it explodes into two pieces. One of pieces has mass $2 m$ and the other has mass $m$ . Both the pieces fly off after explosion. Mass $2 m$ falls at a distance of $100 m$ from the point of projection. Find the distance of second mass from the point of projection, where it strikes the ground. (Take $g = 10 {m/s}^{2}$ )

Discussion

44.	A body moves in a circle of radius 1 m, whose speed varies with time t(in s) as v=2t2 ms−1. Find the net acceleration at t=2 seconds.
Answer» A body moves in a circle of radius $1 m$ , whose speed varies with time $t$ (in $s$ ) as $v = 2 t^{2} m s^{- 1}$ . Find the net acceleration at $t = 2 seconds$ .

Discussion

45.	Arrangement of pipes carrying fluids of densities ρ1, ρ2 & ρ3 is shown in the figure below. If the pipe carrying fluid of density ρ1 makes an angle θ with the horizontal, then what is the value of ′h′ ?
Answer» Arrangement of pipes carrying fluids of densities $ρ_{1}, ρ_{2} & ρ_{3}$ is shown in the figure below. If the pipe carrying fluid of density $ρ_{1}$ makes an angle $θ$ with the horizontal, then what is the value of $^{'} h^{'}$ ?

Discussion

46.	Two blocks of masses 2 kg and 5 kg are at rest on ground. The masses are connected by a string passing over a frictionless light pulley which is under the influence of a constant upward force F=50 N. The acceleration of 5 kg and 2 kg masses are
Answer» Two blocks of masses $2 kg$ and $5 kg$ are at rest on ground. The masses are connected by a string passing over a frictionless light pulley which is under the influence of a constant upward force $F = 50 N$ . The acceleration of $5 kg$ and $2 kg$ masses are

Discussion

47.	Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?
Answer» Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?

Discussion

48.	The initial pressure & volume of a given mass of gas having γ=CPCV are P0 and V0. The gas is seperated from the surroundings by a diathermic wall. It is suddenly compressed to V06 and then slowly compressed to V036. If the final pressure of the gas is nγ+1, value of n is
Answer» The initial pressure & volume of a given mass of gas having $γ = \frac{C_{P}}{C_{V}}$ are $P_{0}$ and $V_{0}$ . The gas is seperated from the surroundings by a diathermic wall. It is suddenly compressed to $\frac{V_{0}}{6}$ and then slowly compressed to $\frac{V_{0}}{36}$ . If the final pressure of the gas is $n^{γ + 1}$ , value of $n$ is

Discussion

49.	Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be
Answer» Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be

Discussion

50.	A monochromatic source of light of wavelength λ operating at 400 W emits 2×1016 photons per second. Now source operates at 600 W & wavelength changes to 3λ, number of photons emitted per second are (Both wavelength are less than threshold wavelength λ0)
Answer» A monochromatic source of light of wavelength $λ$ operating at 400 W emits $2 \times 10^{16}$ photons per second. Now source operates at 600 W & wavelength changes to $3 λ$ , number of photons emitted per second are (Both wavelength are less than threshold wavelength $λ_{0}$ )

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. Ratio of mass of concrete to mass of sawdust will be

The potential energy of a particle of mass 5 kg moving in the x-y plane is given by U=(−7x+24y)J;x and y and y being measured in m. If the particle starts from origin from rest, the magnitude of the conservative force acting on the particle is

In a common base transistor circuit, the current gain is 0.98. On changing emitter current by 5 mA, the change in collector current is

From a solid sphere of mass M and radius R, a spherical portion of radius R2 is removed, as shown in the figure. Taking gravitational potential V=0 at r=∞ , the potential at the centre of the cavity thus formed is(G= gravitational constant)

The length, breadth and thickness of a metal block is given by l=9 cm,b=8 cm,t=2.45 cm. The volume of the block is (consider the concepts of significant digits)

A thin glass rod is bent into a semicircle of radius r. A charge +Q is uniformly distributed along the upper half and a charge –Q is uniformly distributed along the lower half, as shown in the figure. The electric field E at, P (the centre of the semicircle, is)

Three objects A (solid sphere), B (thin circular disk) and C (circular ring) each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation

A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink should be (density of wood=600Kg/m3)

A system of units uses force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimension of length in the system is

The period of a satellite in a circular orbit of radius R is T, the period of another satellite in a circular orbit of radius 4R is

Racemic mixture is formed by mixing two

Which one is not the correct relation in the following

What is the difference between the dot product and cross product of two vectors?

Three blocks 1, 2 and 3 are arranged as shown in the figure. The velocities of the blocks v1, v2 and v3 are shown in the figure. What is the relationship between v1, v2 and v3?

If velocity of particle is given by v=2t4, then its acceleration dvdt at any time t will be given by

Who proposed odometer and uses of these?

If the momentum of a photon is p, then its frequency is Where m is the rest mass of the photon

The displacement (x) of a particle along a straight line at time t is given by x=a0+a12t+a23t2, the acceleration of the particle is

Convert the angles in radians i. 120∘ ii. 270∘

In photo electric effect, the K.E of electrons emitted from the metal surface depends upon

In Young’s double slit experiment the two slits are d distance apart. Interference pattern is observed on a screen at a distance D from the slits. A dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of the light is

(a) A student wants to use two p-n junction diodes to convert alternating current into direct current. Draw the labelled circuit diagram she would use and explain how it works. (b) Give the truth table and circuit symbol for NAND gate.

Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be

In order to meet the growing demand for electricity, India needs to add ______of new capacity, whereas at present India is able to add only ______ a year.

The natural frequency of a L-C circuit is equal to

A wedge of mass m3 is placed on a smooth horizontal surface. Blocks of mass m1 and m2 are placed on the smooth inclined faces of m3 as shown. If m3 does not move, the ratio m2m1 is equal to

In the circuit shown below what will be the reading of the voltmeter and ammeter respectively?

A cylindrical metal tube has a length of 50 cm and is , open at both ends. Find the frequencies between 1000 Hz and 2000 Hz at which the air column in the tube can resonate. Speed of sound in air is 340ms−1.

A progressive wave is represented by y=0.5 cos (5x−ωt). When it superimposes on another wave a node is formed at x=0 The equation of the second wave is

A force F = 20 + 10y acts on a particle in y-direction, where F is in Newtons and y is in metres. Work done by the force to move the particle from y=0 to y=1 m is

Avalanche break down in a semiconductor diode occurs when:

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x)=βx−2n ,where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by :

In a situation shown below, if the length of seconds hand is 30π cm, find the magnitude of change in velocity of the tip of the seconds hand.

Find the relation between the acceleration of sphere (a) and acceleration of wedge (b) in the figure shown

A circular wire frame is made of four uniform quarter circular wires of same radius and of mass per unit length λ,2λ,3λ and 4λ as shown in figure. Assuming the origin to be at the centre of the circle, which of the following options is (are) correct?

A parallel plate capacitor of capacitance 20μF is being charged by a voltage source whose potential is changing at the rate of 3Vs−1. The conduction current through the connecting wires, and the displacement current through the plates of the capacitor, would be, respectively :

A body moves in a circle of radius 1 m, whose speed varies with time t(in s) as v=2t2 ms−1. Find the net acceleration at t=2 seconds.

Arrangement of pipes carrying fluids of densities ρ1, ρ2 &amp; ρ3 is shown in the figure below. If the pipe carrying fluid of density ρ1 makes an angle θ with the horizontal, then what is the value of ′h′ ?

Two blocks of masses 2 kg and 5 kg are at rest on ground. The masses are connected by a string passing over a frictionless light pulley which is under the influence of a constant upward force F=50 N. The acceleration of 5 kg and 2 kg masses are

The initial pressure & volume of a given mass of gas having γ=CPCV are P0 and V0. The gas is seperated from the surroundings by a diathermic wall. It is suddenly compressed to V06 and then slowly compressed to V036. If the final pressure of the gas is nγ+1, value of n is

Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant force will be

A monochromatic source of light of wavelength λ operating at 400 W emits 2×1016 photons per second. Now source operates at 600 W &amp; wavelength changes to 3λ, number of photons emitted per second are (Both wavelength are less than threshold wavelength λ0)

In order to meet the growing demand for electricity, India needs to add of new capacity, whereas at present India is able to add only a year.

Arrangement of pipes carrying fluids of densities ρ1, ρ2 & ρ3 is shown in the figure below. If the pipe carrying fluid of density ρ1 makes an angle θ with the horizontal, then what is the value of ′h′ ?

A monochromatic source of light of wavelength λ operating at 400 W emits 2×1016 photons per second. Now source operates at 600 W & wavelength changes to 3λ, number of photons emitted per second are (Both wavelength are less than threshold wavelength λ0)