Nearly 10% of the power of a $$110 \mathrm{~W}$$ light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of $$1 \mathrm{~m}$$ from the bulb to a distance of $$5 \mathrm{~m}$$ is $$a \times 10^{-2} \mathrm{~W} / \mathrm{m}^{2}$$. The value of 'a' will be _________.

The displacement current of 4.425 $$\mu$$A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 10^{6} Vs^{$$-$$1}. The area of each plate of the capacitor is 40 cm^{2}. The distance between each plate of the capacitor is x $$\times$$ 10^{$$-$$3} m. The value of x is __________.

(Permittivity of free space, E_{0} = 8.85 $$\times$$ 10^{$$-$$12} C^{2} N^{$$-$$1} m^{$$-$$2}).

The intensity of the light from a bulb incident on a surface is 0.22 W/m^{2}. The amplitude of the magnetic field in this light-wave is ______________ $$\times$$ 10^{$$-$$9} T.

(Given : Permittivity of vacuum $$\in$$_{0} = 8.85 $$\times$$ 10^{$$-$$12} C^{2} N^{$$-$$1}-m^{$$-$$2}, speed of light in vacuum c = 3 $$\times$$ 10^{8} ms^{$$-$$1})

^{$$-$$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 _____________ cm

^{3}. (given $$\in$$

_{0}= 8.8 $$\times$$ 10

^{$$-$$12}C

^{2}N

^{$$-$$1}m

^{$$-$$2})