1.

The potential energy of a body is given by \(U(x)\) and it has mechanical energy is E. Then its potential energy when its velocity is zero is given by?

2.

Why did the time period of rotation of Earth decrease by microseconds after the Japan 2011 earthquake?

• The oceanic floor and land disturbances caused the effect of rate of rotation of Earth.
• Redistribution of mass caused MOI to increase.
• Redistribution of mass caused MOI to decrease.
• The kinetic energy of Earth increased due to earthquakes.

3.

A motorcyclist is trying to jump across a path as shown by driving horizontally off a cliff A at a speed of 5 m/s. Ignore air resistance and take g = 10m/s² . The speed with which he touches the cliff B is?

4.

Minimum value of 5^cos(2x) + 5^sin(2x)

5.

NaOH is deliquescent

6.

Two capacitors, of capacitance C, are connected in series. If one of them is filled with a dielectric substance K, what is the effective capacitance?