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6.

A generator with a circular coil of 100 turns of area $2 \times 10^{-2} m^{2}$  is immersed in a 0.01 T magnetic field and rotated at a frequency  of 50 Hz  . The maximum emf which is produced during  a cycle is 


A) 6.38 V

B) 3.44 V

C) 10 V

D) 1.32 V



7.

 Consider a frictionless ramp on which a smooth object is made to slide down from an initial height h. The distance d necessary to stop the object on a flat track (of coefficient of friction $\mu$  ), kept at the ramp end is 


A) $h/ \mu$

B) $\mu h$

C) $\mu^{2} h$

D) $h^{2} \mu$



8.

A planet of mass m moves in a elliptical orbit around an unknown star of mass M such that its maximum and minimum distances from the star are equal to $r_{1}$ and $r_{2}$ respectively. The angular momentum  of the planet relative to the centre of the star is 


A) $m\sqrt{\frac{2GM_{}r_{1}r_{2}}{r_{1}+r_{2}}}$

B) 0

C) $m\sqrt{\frac{2GM_{}(r_{1}+r_{2})}{r_{1}r_{2}}}$

D) $\sqrt{\frac{2GM_{}mr_{1}}{(r_{1}+r_{2})r_{2}}}$



9.

A billiard ball of mass M, moving with velocity $v_{1}$  collides with another ball of the same mass but at rest. If the collision is elastic, the angle of divergence  after the collision is 


A) $0^{0}$

B) $30^{0}$

C) $90^{0}$

D) $45^{0}$



10.

A particle of mass M is moving in a horizontal circle of radius R with uniform speed v. When the particle moves from one point to a diametrically opposite point, its


A) momentum does not change

B) momentum changes by 2Mv

C) kinetic energy changes by $\frac{Mv^{2}}{4}$

D) Kinetic energy changes by $Mv^{2}$



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