One parallactic second is ______________

(a)

3.08 \(\times\)10¹⁶ m

(b)

1.49 \(\times\)10¹¹ m

(c)

9.46 \(\times\) 10¹⁵ m

(d)

1.66 \(\times\) 10^-27 m

Which of the following is having same dimensional formula?

(a)

Work and power

(b)

Radius of gyration and displacement

(c)

Impulse and force

(d)

Frequencies and wavelength

The cross product of two vectors \(\vec A\times\vec B\) is _____________

(a)

AB cosθ

(b)

\(ABsin\theta\hat n\)

(c)

AB sinθ

(d)

\(ABcos\theta\hat n\)

The scalar product of two vectors will be minimum. When \(\theta\) is equal to _______________

(a)

0^o

(b)

45^o

(c)

180^o

(d)

60^o

A 1 kg stationary bomb is exploded in three parts having mass 1 : 1 : 3 respectively. Parts having same mass move in perpendicular direction with velocity 30 m/s, then the velocity of bigger part will be ______________.

(a)

10\(\sqrt { 2 } \)

(b)

\(\frac { 10 }{ \sqrt { 2 } } \) m/sec

(c)

15\(\sqrt { 2 } \)

(d)

\(\frac { 15 }{ \sqrt { 2 } } \)

The unit of co-efficient of static friction is _____________.

(a)

N

(b)

Mn

(c)

Ns

(d)

no unit

Identify which of the following energies can be positive only __________

(a)

kinetic energy

(b)

potential energy

(c)

mechanical energy

(d)

both (a) and (b)

A block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be ____________.

(a)

2Mg/k

(b)

4Mg/k

(c)

Mg/2k

(d)

Mg/k

The ratio of velocities of equal masses in an inelastic collision with one of the masses is stationary is _____________.

(a)

\(\frac { 1-e }{ 1+e } \)

(b)

\(\frac { 1+e }{ e-1 } \)

(c)

(1 + e) (1 - e)

(d)

\(\frac { e-1 }{ e+1 } \)

Surface tension does not depend on _________.

(a)

nature of the liquid

(b)

temperature of the liquid

(c)

atmospheric pressure

(d)

presence of impurities