1. A particle moves with a speed of 0.9c. What is the increase in its mass?
2. What is the minimum work required to lift a 200 kg mass from the bottom of a 100-meter-deep mine shaft?
3. A solid sphere and a hollow sphere, both of the same mass and same radius, are released from rest at the top of an inclined plane. Which one will reach the bottom first?
4. A beam of light is incident on a glass prism at an angle of 60 degrees. What is the angle of deviation of the beam?
5. An object is moving with a velocity of 4 m/s in a circular path of radius 2 m. What is the centripetal force acting on it?
6. A conducting rod of length L and resistance R is moving with a speed v perpendicular to a magnetic field of strength B. What is the induced emf across the ends of the rod?
7. A sound wave of frequency 200 Hz is traveling in air. What is the wavelength of the wave?
8. A block of mass M is kept on a frictionless surface and is connected to a spring of spring constant K. The other end of the spring is fixed to a wall. If the block is pulled and released, what is the frequency of the resulting oscillation?
9. Two capacitors, one of capacitance C1 and the other of capacitance C2, are connected in parallel. What is the equivalent capacitance of the combination?
10. An ideal gas is expanded isothermally. What is the ratio of the final volume to the initial volume if the initial pressure is P1 and the final pressure is P2?​