If force |F|, velocity |V| and time |T| are taken as to fundamental units then the dimensions of mass are _______________.

(a)

FV^-1T

(b)

FV^-1T

(c)

FVT^-1

(d)

FVT^-2

The vectors \(\vec A\) and \(\vec B\) to be mutually orthogonal when _________.

(a)

\(\vec A+\vec B=0\)

(b)

\(\vec A-\vec B=0\)

(c)

\(\vec A.\vec B=0\)

(d)

\(\vec A\times \vec B=0\)

If a reaction is R and coefficient of friction is μ, what is work done against friction in moving a body by distance d?

(a)

2 μRd

(b)

\(\frac { \mu Rd }{ 4 } \)

(c)

μRd

(d)

\(\frac { \mu Rd }{ 2 } \)

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius \(\frac { r }{ 3 } \) and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier. stone when they experience same centripetal forces. The value of n is _______________.

(a)

4

(b)

1

(c)

2

(d)

3

For a particle revolving in a circular path, the acceleration of the particle is _____________.

(a)

along the tangent

(b)

along the radius

(c)

along the circumference of the circle

(d)

zero

Moment of inertia of an object does not depend upon _____________.

(a)

mass of object

(b)

mass distribution

(c)

angular velocity

(d)

axis of rotation

Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side I cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram cm² units will be _________________.

(a)

\(\frac { 3 }{ 4 } \)ml²

(b)

2 ml²

(c)

\(\frac { 5 }{ 4 } \)ml²

(d)

\(\frac { 3 }{ 2 } \)ml²

A baker contacting a liquid is kept inside a big closed jar if the air inside the far is continuously pumped out, the pressure in the liquid near the bottom will________________.

(a)

increase

(b)

decrease

(c)

remain constant

(d)

first decrease and then increase

the given (V- T) diagram, what is the relation between pressures P₁ and P₂?

(a)

P₁=P₂

(b)

P₁>P₂

(c)

P₁<P₂

(d)

cannot be predicted

A spring is cut into 4-equal parts & 2 parts are connected in parallel. What is the effective in parallel. What is the effective spring contest?

(a)

4 k

(b)

16 k

(c)

8 k

(d)

6 k