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5401.

Three thin uniform rods each of mass m and length l are placed along the three axes of a Cartesian co-ordinate system with their one end at the origin. The moment of inertia of the system about z-axis is

Answer»

Three thin uniform rods each of mass m and length l are placed along the three axes of a Cartesian co-ordinate system with their one end at the origin. The moment of inertia of the system about z-axis is

5402.

The current in the outer coil is varying with time as I=2t2. The heat developed in the inner coil between t=0 to t seconds is kμ20π2a4t33b2R, where the resistance of the inner coil is R and b>>a. Find k.

Answer» The current in the outer coil is varying with time as I=2t2. The heat developed in the inner coil between t=0 to t seconds is kμ20π2a4t33b2R, where the resistance of the inner coil is R and b>>a. Find k.






5403.

A rectangular coil of 20 turns and area of cross-section 25 cm2 has a resistance of 100 Ω. If a magnetic field which is perpendicular to the plane of coil changes at a rate of 1000 T/s , the current in the coil is

Answer»

A rectangular coil of 20 turns and area of cross-section 25 cm2 has a resistance of 100 Ω. If a magnetic field which is perpendicular to the plane of coil changes at a rate of 1000 T/s , the current in the coil is

5404.

A square loop of side a and resistance R is moved in the region of uniform magnetic field B (loop remaining completely inside field ), with a velocity v through a distance x . The work done is

Answer» A square loop of side a and resistance R is moved in the region of uniform magnetic field B (loop remaining completely inside field ), with a velocity v through a distance x . The work done is
5405.

A bullet of mass 15 g has a speed of 400 m/s. What is its kinetic energy ? If the bullet strikes a thick target and is bought to rest in 2 cm, calculate the average net force acting on the bullet. What happens to the kinetic energy originally in the bullet ?

Answer»

A bullet of mass 15 g has a speed of 400 m/s. What is its kinetic energy ? If the bullet strikes a thick target and is bought to rest in 2 cm, calculate the average net force acting on the bullet. What happens to the kinetic energy originally in the bullet ?



5406.

NiCl2(P(C2H5)2(C6H5))2exhibits tempreture dependent behavior(paramagnetic/diamegnetic)the coordinatipn geometry ofNi+2 inthe paramagnetic n diamegnetic respectively

Answer» NiCl2(P(C2H5)2(C6H5))2exhibits tempreture dependent behavior(paramagnetic/diamegnetic)the coordinatipn geometry ofNi+2 inthe paramagnetic n diamegnetic respectively
5407.

What does the writer mean by ‘the fiery misery’ of those subjected to make-up’?

Answer»

What does the writer mean by ‘the fiery misery’ of those subjected to make-up’?

5408.

A student in a lab took a coil and connected it to a 12 V DC source. He measures the steady state current in the circuit to be 4 A. He then replaced the 12 V DC source by a 12 V (ω = 50 rad/s) AC source and observes that the reading in the ammeter is 2.4 A. He then decides to connect a 2500 μF capacitor in series with the coil and calculate the average power developed in the circuit. Further he also decides to study the variation in current in the circuit (with the capacitor and the battery in series).Based on the readings taken by student, the power developed in the circuit when the capacitor of 2500 μF is connected in series with the coil is W. (Upto two decimal digit).

Answer» A student in a lab took a coil and connected it to a 12 V DC source. He measures the steady state current in the circuit to be 4 A. He then replaced the 12 V DC source by a 12 V (ω = 50 rad/s) AC source and observes that the reading in the ammeter is 2.4 A. He then decides to connect a 2500 μF capacitor in series with the coil and calculate the average power developed in the circuit. Further he also decides to study the variation in current in the circuit (with the capacitor and the battery in series).

Based on the readings taken by student, the power developed in the circuit when the capacitor of 2500 μF is connected in series with the coil is W. (Upto two decimal digit).
5409.

a regular hexagon of side 10 cm has a charge 5 microcolumb at each of its vertices .calculate th potential at the centre of the hexagon.

Answer» a regular hexagon of side 10 cm has a charge 5 microcolumb at each of its vertices .calculate th potential at the centre of the hexagon.
5410.

The displacement x of a particle varies with time t as x=ae −αt +be βt , where a,b,α and β are positive constants. The velocity of the particle will

Answer» The displacement x of a particle varies with time t as x=ae
−αt
+be
βt
, where a,b,α and β are positive constants. The velocity of the particle will
5411.

Two blocks A and B are connected to each other by a string and a spring of force constant k, as shown in the figure. The string passes over a frictionless pulley. Block B slides over the horizontal top surface of a stationary block C and block A slides along the vertical side of C both with the same uniform speed. If the coefficient of friction between the surfaces of the blocks is μ and the mass of block A is m, what is the mass of block B?

Answer»

Two blocks A and B are connected to each other by a string and a spring of force constant k, as shown in the figure. The string passes over a frictionless pulley. Block B slides over the horizontal top surface of a stationary block C and block A slides along the vertical side of C both with the same uniform speed. If the coefficient of friction between the surfaces of the blocks is μ and the mass of block A is m, what is the mass of block B?


5412.

A solid sphere is released with velocity of centre of mass v at t =0 on horizontal surface. the velocity of cm of sphere when it attains pure rolling. why conservation of angular momentum is valid but not kinetic energy

Answer» A solid sphere is released with velocity of centre of mass v at t =0 on horizontal surface. the velocity of cm of sphere when it attains pure rolling. why conservation of angular momentum is valid but not kinetic energy
5413.

A thin metal ring of internal radius 8 cm and external radius 9 cm is supported horizontally from the pan of a balance so that it comes in contact with pure water in a glass vessel. If it is found that an extra weight of 7.48 g is required to pull the ring out of pure water. The surface tension of water is[Angle of contact of glass-pure water is 0∘](g=10 m/s2)

Answer»

A thin metal ring of internal radius 8 cm and external radius 9 cm is supported horizontally from the pan of a balance so that it comes in contact with pure water in a glass vessel. If it is found that an extra weight of 7.48 g is required to pull the ring out of pure water. The surface tension of water is

[Angle of contact of glass-pure water is 0]



(g=10 m/s2)

5414.

a slab consists of two parellel layers of two different materials of same thickness having thermal conductivities of K1 and K2 . show that the equivalent conductivities of the combination is( K1+K2)/2

Answer» a slab consists of two parellel layers of two different materials of same thickness having thermal conductivities of K1 and K2 . show that the equivalent conductivities of the combination is( K1+K2)/2
5415.

In a certain region of space, electric field is along the z-directionthroughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of105 NC–1 per metre. What are the force and torque experienced by asystem having a total dipole moment equal to 10–7 Cm in the negativez-direction ?

Answer» In a certain region of space, electric field is along the z-directionthroughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of105 NC–1 per metre. What are the force and torque experienced by asystem having a total dipole moment equal to 10–7 Cm in the negativez-direction ?
5416.

In YDSE, two slits have width in ratio 1:36, then ratio of maximum intensity to minimum intensity on screen is

Answer»

In YDSE, two slits have width in ratio 1:36, then ratio of maximum intensity to minimum intensity on screen is

5417.

Explain derivations of two dimensional motion?

Answer» Explain derivations of two dimensional motion?
5418.

How to do the conversion from MKS system to CGS system and from CGS system to MKS system?

Answer» How to do the conversion from MKS system to CGS system and from CGS system to MKS system?
5419.

A body moves from A to B in 3 sec. What is its average velocity w.r.t. the origin?

Answer»

A body moves from A to B in 3 sec. What is its average velocity w.r.t. the origin?


5420.

When two displacements represented by y1=a sin(ω t) and y2 =b cos(ω t) are superimposed the motion is?

Answer» When two displacements represented by y1=a sin(ω t) and y2 =b cos(ω t) are superimposed the motion is?
5421.

A charge of mass 50 mg and carrying 5×10−9 C is approaching a fixed of 10−8 C with a velocity of 0.5 ms−1. The distance of closest approach of the charge is

Answer»

A charge of mass 50 mg and carrying 5×109 C is approaching a fixed of 108 C with a velocity of 0.5 ms1. The distance of closest approach of the charge is

5422.

What is the centre of mass?

Answer» What is the centre of mass?
5423.

length of a wire is increased by 1mm on the application of a given load .if same load is applied to another wire of same material but of length and radius twice that of the first then increased in its length will be

Answer» length of a wire is increased by 1mm on the application of a given load .if same load is applied to another wire of same material but of length and radius twice that of the first then increased in its length will be
5424.

Two isolated spherical conductors have radii 5 cm and 10 cm respectively. They have charges of 12 μC and −3 μC. Find the charge on bigger sphere after they are connected by a conducting wire.

Answer»

Two isolated spherical conductors have radii 5 cm and 10 cm respectively. They have charges of 12 μC and 3 μC. Find the charge on bigger sphere after they are connected by a conducting wire.

5425.

Simplify:[3a-2][a-1][3a+5]

Answer» Simplify:[3a-2][a-1][3a+5]
5426.

Four molecules of a gas have speed 1,2,3 and 4km/s . the value of the r.m.s. speed of the gas molecule i

Answer» Four molecules of a gas have speed 1,2,3 and 4km/s . the value of the r.m.s. speed of the gas molecule i
5427.

Is the image formed by spherical mirrors is similar to that formed by a plain mirror

Answer» Is the image formed by spherical mirrors is similar to that formed by a plain mirror
5428.

The moment of inertia of a hollow cubical box of mass M and side ′a′ about an axis passing through the centers of two opposite faces is equal to

Answer»

The moment of inertia of a hollow cubical box of mass M and side a about an axis passing through the centers of two opposite faces is equal to

5429.

Two simple harmonic motions are given by x1=a2sinωt+√3a2cosωt and x2=asinωt+acosωt. What is the ratio of the amplitude of the first motion to that of the second ?

Answer»

Two simple harmonic motions are given by x1=a2sinωt+3a2cosωt and x2=asinωt+acosωt. What is the ratio of the amplitude of the first motion to that of the second ?

5430.

a particle travels half of the dis†an ce of a straight line with a speed 5m/s. the remaining part of the dis†an ce is covered with a speed 6m/s for half the remaining time and with the speed 4m/s for the other haldf of the time.b the average speed of particle is

Answer» a particle travels half of the dis†an ce of a straight line with a speed 5m/s. the remaining part of the dis†an ce is covered with a speed 6m/s for half the remaining time and with the speed 4m/s for the other haldf of the time.b the average speed of particle is
5431.

The mass of the earth is 6.00×1024kg and that of the moon is 7.40×1022kg. The constant of gravitation G=6.67×10−11N−m2/kg2. The potential energy of the system is −7.79×1028joule. The mean distance between the earth and moon is

Answer»

The mass of the earth is 6.00×1024kg and that of the moon is 7.40×1022kg. The constant of gravitation G=6.67×1011Nm2/kg2. The potential energy of the system is 7.79×1028joule. The mean distance between the earth and moon is


5432.

The value of 2∫15exsecx(1+tanx)dx is:

Answer»

The value of 215exsecx(1+tanx)dx is:

5433.

A rail engine accelerates from its stationary position for 8s and travels a distnace of 280m. According to the mean value theorem, the speedometer at a certain time during acceleration must read exactly

Answer»

A rail engine accelerates from its stationary position for 8s and travels a distnace of 280m. According to the mean value theorem, the speedometer at a certain time during acceleration must read exactly

5434.

Q 10/15 A particle is thrown from ground such that itfollows a parabolic path given by y ax bx2 thenthe range of the projectile will be

Answer» Q 10/15 A particle is thrown from ground such that itfollows a parabolic path given by y ax bx2 thenthe range of the projectile will be
5435.

nt7. Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above otherntsuch that O is their common point for the two. The wires carry I1and I2 currents, respectively. Point 'P' is lyingntat distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at thentpoint P will ben

Answer» nt7. Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above otherntsuch that O is their common point for the two. The wires carry I1and I2 currents, respectively. Point 'P' is lyingntat distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at thentpoint P will ben
5436.

A rod AB of length 0.5 m can slide freely on a pair of smooth, horizontal rails as shown in the figure. A magnetic field B0 exists in the region in the direction perpendicular to the plane of the rails. The rails are connected at the left end by a combination of a resistor and battery, as shown in the figure. The constant speed with which the rod slides after applying the external force, F=0.5 N must be:

Answer»

A rod AB of length 0.5 m can slide freely on a pair of smooth, horizontal rails as shown in the figure. A magnetic field B0 exists in the region in the direction perpendicular to the plane of the rails. The rails are connected at the left end by a combination of a resistor and battery, as shown in the figure. The constant speed with which the rod slides after applying the external force, F=0.5 N must be:




5437.

In the given diagram, a single infinitely long, straight wire has been bent into an arc of a circle of radius 50 mm and two long straight portions. Find the magnetic field at the origin O, when a current of 5 A flows through the wire.

Answer»

In the given diagram, a single infinitely long, straight wire has been bent into an arc of a circle of radius 50 mm and two long straight portions. Find the magnetic field at the origin O, when a current of 5 A flows through the wire.




5438.

For the transistor circuit shown in figure. Find the value of RB (in kΩ) nearly is (integer only).[If IC=1 mA, VCE=3 V, VBE=0.5 V, VCC=12 V and β=100]

Answer» For the transistor circuit shown in figure. Find the value of RB (in kΩ) nearly is (integer only).

[If IC=1 mA, VCE=3 V, VBE=0.5 V, VCC=12 V and β=100]






5439.

Two charges of −4 μC and +4 μC are placed at points A(1, 0, 4) and B(2, −1, 5) located in an electric field →E=0.20ˆi Vcm−1. The torque acting on the dipole is

Answer»

Two charges of 4 μC and +4 μC are placed at points A(1, 0, 4) and B(2, 1, 5) located in an electric field E=0.20ˆi Vcm1. The torque acting on the dipole is


5440.

what is work energy principle

Answer» what is work energy principle
5441.

a boy s†an ds 39.2m from a building and throws a ball which just passes through a window 19.6m above the ground velocity of projection of ball is

Answer» a boy s†an ds 39.2m from a building and throws a ball which just passes through a window 19.6m above the ground velocity of projection of ball is
5442.

A magnetic field of 4×10−3^k T exerts a force of (4^i+3^j)×10−10 N on a particle of charge 10−9 C and going in xy-plane. The velocity of the charged particle is-

Answer»

A magnetic field of 4×103^k T exerts a force of (4^i+3^j)×1010 N on a particle of charge 109 C and going in xy-plane. The velocity of the charged particle is-

5443.

The sun radiates energy at the rate of 3.6×1026 Js−1. The rate of decrease in mass of sun is (in kgs−1)

Answer»

The sun radiates energy at the rate of 3.6×1026 Js1. The rate of decrease in mass of sun is (in kgs1)

5444.

Find the force of interaction between 3 kg and 2 kg bodies in the figure shown. (Take g=10 m/s2)

Answer»

Find the force of interaction between 3 kg and 2 kg bodies in the figure shown. (Take g=10 m/s2)


5445.

In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the

Answer»

In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the


5446.

A ball is projected upwards from the top of a tower with a velocity of 50 ms−1 making an angle of 60∘ with the vertical. If the height of the tower is 70 m, then the ball will reach the ground in (Take g=10 ms−2)

Answer»

A ball is projected upwards from the top of a tower with a velocity of 50 ms1 making an angle of 60 with the vertical. If the height of the tower is 70 m, then the ball will reach the ground in (Take g=10 ms2)

5447.

If 9 HM's are inserted between 5 and 10, the harmonic mean of entire sequence is

Answer»

If 9 HM's are inserted between 5 and 10, the harmonic mean of entire sequence is


5448.

The figure shown below represents a particle executing SHM. If the particle starts from the extreme position, (P), find the correct equation of motion of particle.

Answer»

The figure shown below represents a particle executing SHM. If the particle starts from the extreme position, (P), find the correct equation of motion of particle.


5449.

20. The mean free path of benzene molecule is6 x 10-6 m and average speed of molecules is1.2 x 103 m/s. The collision rate of molecules, is(1) 3 x 107 s-1(2) 4 x 108 s-1(3) 4 x 107 s-1(4) 2 x 108 s-1

Answer» 20. The mean free path of benzene molecule is6 x 10-6 m and average speed of molecules is1.2 x 103 m/s. The collision rate of molecules, is(1) 3 x 107 s-1(2) 4 x 108 s-1(3) 4 x 107 s-1(4) 2 x 108 s-1
5450.

A telescope can just resolve (Rayleigh Criterion) two objects which are 2000 km away from it. If the separation between objects is 10 m and the wavelength of light used is 500 nm then the minimum diameter of the objective of the telescope is

Answer»

A telescope can just resolve (Rayleigh Criterion) two objects which are 2000 km away from it. If the separation between objects is 10 m and the wavelength of light used is 500 nm then the minimum diameter of the objective of the telescope is