A wire having a linear mass density 9.0 $$\times$$ 10^$$-$$4 kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550 Hz. The length of the wire is ____________ m.

The voltage drop across 15$$\Omega$$ resistance in the given figure will be ______________ V.

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)