• time

• distance

• frequency

• angular acceleration

In the figure, the position-time graph of a particle of mass 0.1 kg is shown. The impulse at t = 2 sec is

• 0.2 kg m sec^-1

• - 0.2 kg m sec^-1

• 0.1 kg m sec^-1

• - 0.4 kg m sec^-1

The pressure exerted by an electromagnetic wave of intensity I ( watt/m² ) on a nonreflecting surface is [ c is the velocity of light ]

• Ic

• Ic²

• I/c

• I/c²

A block of mass 10 kg is moving in x-direction with a constant speed of 10 m/sec. It is subjected to a retarding force F = -0.1 x joule/meter during its travel from x = 20 meter to x = 30 meter. Its final kinetic energy will be

• 475 joule

• 450 joule

• 275 joule

• 250 joule

5.

The condition for a uniform spherical mass m of radius r to be a black hole is [ G = gravitational constant and g = acceleration due to gravity ]

• ${\left(\frac{2 \mathrm{Gm}}{\mathrm{r}}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} \le \mathrm{c}$

• ${\left(\frac{2 \mathrm{gm}}{\mathrm{r}}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} = \mathrm{c}$

• ${\left(\frac{2 \mathrm{Gm}}{\mathrm{r}}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right. } \ge \mathrm{c}$

• ${\left(\frac{\mathrm{gm}}{\mathrm{r}}\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} \ge \mathrm{c}$

When a ball is thrown up vertically with velocity  v_o, it reaches a maximum height of h. If one wishes triple the maximum height then the ball should be thrown with velocity

• $\sqrt{3}$ v_o

• 3v_o

• 9v_o

• 3/2 v_o

A solid sphere is rolling on a frictionless surface, show in figure with a translational velocity v m/s. If it is to climb the inclined surface then v should be

• ≥ $\sqrt{\raisebox{1ex}{$10$}\!\left/ \!\raisebox{-1ex}{$7\mathrm{gh}$}\right.}$

• ≥ $\sqrt{2\mathrm{gh}}$

• 2gh

• 10/7 gh

A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time a viscous fluid of mass 'm' is dropped at the centre and is allowed to spread out and finally fall. The angular velocity during this period

• decreases continuously

• decreases initially and increases again

• remains unaltered

• increases continuously

A ladder is leaned against a smooth wall and  it is allowed to slip on a frictionless floor. Which figure represents trace of its centre of mass.

A person is standing in an elevator. In which situation he finds his weight less?

• When the elevator moves upward with constant acceleration

• When the elevator moves downward with constant acceleration

• When the elevator moves upward with uniform velocity

• When the elevator moves downward with uniform velocity