Angular velocity of second hand of a clock is

• $\frac{\mathrm{\pi }}{30} \mathrm{rad}/\mathrm{s}$

• $\frac{\mathrm{\pi }}{60} \mathrm{rad}/\mathrm{s}$

• $\frac{\mathrm{\pi }}{15} \mathrm{rad}/\mathrm{s}$

• $\frac{\mathrm{\pi }}{2} \mathrm{rad}/\mathrm{s}$

Momentum of a body of mass 1 kg is 10 kg-m/s, then its kinetic energy will be

• 100 J

• 50 J

• 1000 J

• 200 J

A wheel completes 2000 turns in completing a distance of 9.5 km, then diameter of the wheel is

• 1.5 m

• 1.5 cm

• 7.5 m

• 7.5 cm

A satellite of mass m, revolving round a planet of mass M in a circular orbit of radius r, then orbital velocity of the satellite is

• $\frac{\mathrm{mg}}{\mathrm{r}}$

• $\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}}$

• $\sqrt{\frac{2\mathrm{GM}}{\mathrm{r}}}$

• $\frac{\mathrm{GM}}{\mathrm{r}}$

5.

Sphere, disc and ring are allowed to roll down on an inclined plane from its top, then order in which they reach at the bottom will be

• ring, disc, sphere

• sphere, disc, ring

• disc, ring, sphere

• sphere, ring, disc

Dimensions of torque is

• [M¹L²T^-2]

• [M²L²T²]

• [M^-1LT^-1]

• [M^-2L^-2T^-2]

If we made half the radius of earth, then duration of day will become

• 6 h

• 12 h

• 24 h

• 3 h

A stone is dropped in 19.6 m depth well, echo is heard in  2.06 s, then velocity of sound is

• 315.2 m/s

• 320.5 m/s

• 326.7 m/s

• 332.4 m/s

An observer is coming towards plane mirror with a speed of 6 m/s, then apparent velocity of his image is

• 6 m/s

• 4 m/s

• 12 m/s

• 3 m/s

Which of the following is scalar quantity?

• Current

• Velocity

• Force

• Acceleration