11.

The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclinded plane. Both roll down without slipping which one will reach the bottom first?

• Both together only when angle of inclination of plane is 45^o

• Both together

• Hollow cylinder

• Hollow cylinder

A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v, the power delivered to the particle is

• Mv²/T

• Mv² / 2T²

• Mv²/T²

• Mv²/T²

A monatomic gas at pressure p₁ and V₁ is compressed adiabatically to 1/8 th its original volume. What is the final pressure of the gas?

• 64 p₁

• p₁

• 16 p₁

• 16 p₁

A particle having a mass of 10^-2 kg carries a charge of 5 x 10^-8 C. The particle is given an initial horizontal velocity of 10⁵ ms^-1 in the presence of electric field and magnetic field. To keep the particle moving in a horizontal direction. it is necessary that

1)  should be perpendicular to the direction of velocity and  should be along the direction of velocity

2) Both  and  should be along the direction of velocity.

3) Both  and  are mutually perpendicular and perpendicular  to the direction of  velocity

4)  should be along the direction of velocity and  should be perpendicular to the direction of velocity.

• (1) and (3)

• (3) and (4)

• (2) and (3)

• (2) and (3)

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

The thermal emf E in volt of a certain thermocouple is found to vary with temperature difference θ in ^oC between the two junctions according to the relation

The neutral temperature for the thermocouple will be

• 450^o C

• 400^o C

• 225^o C

• 225^o C

The magnetic moment of a diamagnetic atom is 

• much greater than one

• one

• equal to zero

• equal to zero

Two identical bar magnets are fixed with their centres at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure.


The force on the charge Q is

• zero

• directed along OP

• directed along PO

• directed along PO

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane.  if the current in the loop is i. The resultant magnetic field due to the two semicircular parts at their common centre is

Two parallel metal plates having charges +Q and -Q faces each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

• become zero

• increase

• decrease

• decrease