A block moving horizontally on a smooth surface with a speed of 40 ms^$$-$$1 splits into two equal parts. If one of the parts moves at 60 ms^$$-$$1 in the same direction, then the fractional change in the kinetic energy will be x : 4 where x = ___________.

The electric field in an electromagnetic wave is given by E = (50 NC^$$-$$1) sin$$\omega$$ (t $$-$$ x/c)

The energy contained in a cylinder of volume V is 5.5 $$\times$$ 10^$$-$$12 J. The value of V is _____________ cm³. (given $$\in$$₀ = 8.8 $$\times$$ 10^$$-$$12C²N^$$-$$1m^$$-$$2)

A capacitor of 50 $$\mu$$F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is ______________$$\mu$$C.

A car is moving on a plane inclined at 30$$^\circ$$ to the horizontal with an acceleration of 10 ms^$$-$$2 parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes with the vertical is ______________. (Take g = 10 ms^$$-$$2)