If the force is proportional to square of velocity, then the dimension of proportionality constant is

(a)

[MLT⁰]

(b)

[MLT^-1]

(c)

[MLT^-2T]

(d)

[MLT^-1T⁰]

If A = 2.331cm and C = 2.1cm, then A + C = ______________cm

(a)

4.4

(b)

4

(c)

4.43

(d)

4.431

Which two of the following five physical parameters have the same dimensions?
1. energy density
2. refractive index
3. dielectric constant
4. Young's modulus
5. magnetic field

(a)

1 and 4

(b)

1 and 5

(c)

2 and 4

(d)

3 and 5

In equation of motion S = ut+\(1\over 2\)kt² the dimensional formula for K is______________

(a)

[L T^-1]

(b)

[L T^-2]

(c)

[T]

(d)

[L^-1 T]

Number of significant digits in 3256 ____________.

(a)

1

(b)

2

(c)

3

(d)

4

If an object is thrown vertically up with the initial speed u from the ground, then the time taken by the object  to return back to ground is

(a)

\(\frac{u^2}{2g}\)

(b)

\(\frac{u^2}{g}\)

(c)

\(\frac{u}{2g}\)

(d)

\(\frac{2u}{g}\)

Choose the correct statement from the following

(a)

Centrifugal and centripetal forces are action reaction pairs

(b)

Centripetal forces is a natural force

(c)

Centrifugal force arises from gravitational force

(d)

Centripetal force acts towards the center and centrifugal force appears to act away from the center in a circular motion.

Swimming is possible on account of _____________.

(a)

I law of motion

(b)

II law

(c)

III law

(d)

Newton's law of gravitation

A wind-powered generator converts wind energy into electric energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to

(a)

v

(b)

v²

(c)

v³

(d)

v⁴

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

(a)

a line perpendicular to the plane of rotation

(b)

the line making an angle of 45^o to the plane of rotation

(c)

the radius

(d)

tangent to the path