The physical quantity having the dimensions [ M^-1 L^-3 T³ A² ] is

• resistance

• resistivity

• electrical conductivity

• electromotive force

Velocity-time curve for a body projected vertically upwards is

• parabola

• ellipse

• hyperbola

• straight line

The numerical ratio of displacement to the distance covered is always

• less than one

• equal to one

• equal to or less than one

• equal to or greater than one

4.

A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

• east-north direction

• west-north direction

• south-east direction

• None of the above

A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing

• by determining their moments of inertia about their coaxial axe

• by rolling them simultaneously on an inclined plane

• by rotating them about a common axis of rotation

• by applying equal torque on them

Point masses 1,  2,  3  and  4 kg are lying at the points (0, 0, 0),  (2, 0, 0),  (0, 3, 0)  and  (- 2, -2, 0)   respectively. The moment-of inertia of this system about  X-axis  will be

• 43 kg-m²

• 34  kg-m²

• 27  kg-m²

• 72  kg-m²

The radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Then, its radius of gyration about a parallel axis through its centre of mass will be

• 80 cm

• 8 cm

• 0.8 cm

• 80 m

A bullet of mass 20 g and moving with 600 m/s collides with a block of mass 4 kg hanging with the string. What is velocity of bullet when it comes out of block, if block rises to height 0.2 m after collision?

• 200 m/s

• 150 m/s

• 400 m/s

• 300 m/s

Voltage in the secondary coil of a transformer does not depend upon

• frequency of the source

• voltage in the primary coil

• ratio of number of turns in the two coils

• Both (b) and (c)

A ball of mass 2 kg moving with velocity 3 m/s collides with spring of natural length 2 m and force constant 144 N/m. What will be length of compressed spring?

• 2 m

• 1.5 m

• 1 m

• 0.5 m