Which of the following pairs of physical quantities have same dimension?

(a)

force and power

(b)

torque and energy

(c)

torque and power

(d)

force and torque

The dimensional formula for gravitational constant G is

(a)

[ML³T^-2]

(b)

[M^-1L³T^-2]

(c)

[M^-1L^-3T^-2]

(d)

[ML^-3T²]

1 nano second is equivalent to _____________.

(a)

10^-6s

(b)

10^-3s

(c)

10^-15s

(d)

10^-9s

Identify the unit vector in the following?

(a)

\(\hat { i } +\hat { j } \)

(b)

\(\frac { \hat { i } }{ \sqrt { 2 } } \)

(c)

\(\hat { k } -\frac { \hat { j } }{ \sqrt { 2 } } \)

(d)

\(\frac { \hat { i } +\hat { j } }{ \sqrt { 2 } } \)

Which one of the following physical quantities cannot be represented by a scalar?

(a)

Mass

(b)

length

(c)

momentum

(d)

magnitude of acceleration

If a particle executes uniform circular motion, choose the correct statement

(a)

The velocity and speed are constant

(b)

The acceleration and speed are constant.

(c)

The velocity and acceleration are constant.

(d)

The speed and magnitude of acceleration are constant.

The scalar product \(\vec A.\vec B\) is equal to ______________.

(a)

\(\vec A+\vec B\)

(b)

\(AB\sin\theta\)

(c)

\(AB\cos\theta\)

(d)

\(\vec B+\vec A\)

The product of mass and velocity of a particle is ______________.

(a)

acceleration

(b)

force

(c)

torque

(d)

momentum

When a car takes a sudden left turn in the curved road, passengers are pushed towards the right due to

(a)

inertia of direction

(b)

inertia of motion

(c)

inertia of rest

(d)

absence of inertia

The centripetal force is ______________.

(a)

\(\frac { { mv }^{ 2 } }{ r } \)

(b)

\(r{ \omega }^{ 2 }\)

(c)

both (a) and (b)

(d)

none

Round - off the following numbers as indicated.
a) 17.234 to 3 digits
b) 3.996\(\times\)105 to 3 digits
c) 3.6925\(\times\)10-3 to 2 digits
d) 124783 to 5 digits.

Write a short note on vector product between two vectors.

What is projectile? Give example.

Define displacement and distance.

State Newton's second law.

Distinguish between distance and displacement.