How many AU present in one light year?

(a)

6.30\(\times\)10⁴m

(b)

9.46\(\times\)10¹⁵m

(c)

6.2\(\times\)10²m

(d)

9.4\(\times\)10¹⁶m

If \(\bar A\)and \(\bar B\) are two vectors, \(\bar A.\bar B=\bar A\times\bar B\) then resultant vector is ____________.

(a)

A+B

(b)

A-B

(c)

\(\sqrt {A^2+B^2}\)

(d)

\(\sqrt {A^2+B^2+\sqrt{2}AB}\)

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two bails are in the sky at any time? (Given g = 9.8m/s²)

(a)

more than 19.6 m/s

(b)

at least 9.8 m/s

(c)

any speed less than 19.6m/s

(d)

only with speed 19.6 m/s

The position vector of a particle is \(\vec r=4t^2\hat i+2t\hat j+3\hat k\) . The speed of the particle at t = 5s is ____________.

(a)

42 ms^-1

(b)

3 s

(c)

3 ms^-1

(d)

40 ms^-1

Unit of momentum _______________.

(a)

kg ms^-2

(b)

kg ms^-1

(c)

M L T^-2

(d)

M L T^-1

The law of conservation of energy always holds good when _____________.

(a)

a body moves down a rough plane

(b)

two electrically charged particles collide

(c)

two bodies collide

(d)

a body moves (or rolls) down a smooth plane

For inelastic collision co-efficient of restitution is ______________.

(a)

0

(b)

1

(c)

0 < e < 1

(d)

\(\infty \)

A wheel of moment of inertia 4 x 10^-3 kgm² is making 10 revolutions per second. The torque required to stop it in 5 seconds is ________________.

(a)

\(2\pi\times 10^{-3} Nm\)

(b)

\(8\pi \times 10^{-3} Nm\)

(c)

\(16\pi \times 10^{-3} Nm\)

(d)

\(8\times 10^{-3}Nm\)

The velocity of the rolling object on inclined plane at the bottom of inclined plane is ______________.

(a)

\(\sqrt { \frac { 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } }{ gsin^{ 2 }\theta } } \)

(b)

\(\sqrt { \frac { 2gh }{ 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } } } \)

(c)

\(\sqrt { \frac { 2h\left( 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } \right) }{ gsin^{ 2 }\theta } } \)

(d)

\(\sqrt { \frac { 2h\left( 1+\frac { { k }^{ 2 } }{ { R }^{ 2 } } \right) }{ gsin^{ 2 }\theta } } \)

While negotiating a circular level road a cyclist has to bend by an angle θ from vertical to stay in an equilibrium is _____________.

(a)

\(tan \theta=\frac{rg}{r^{2}}\)

(b)

\(\theta=tan^{-1} (\frac{v^{2}}{rg})\)

(c)

\(\theta = sin^{-1}(\frac{rg}{r^{2}})\)

(d)

zero