A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is $$x \times 10^{15} \mathrm{~Hz}$$. The value of $$x$$ is ____________.

(Given h $$=4.25 \times 10^{-15} ~\mathrm{eVs}$$ )

The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 $$\mathop A\limits^o $$ is 0.42 V. If the threshold frequency is x $$\times$$ 10^{13} /s, where x is _________ (nearest integer).

(Given, speed light = 3 $$\times$$ 10^{8} m/s, Planck's constant = 6.63 $$\times$$ 10^{$$-$$34} Js)

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v_{1}. When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v_{2}. If v_{2} = x v_{1}, the value of x will be __________.

^{$$-$$31}kg travels in a medium with a speed of 10

^{6}m/s and a photon of a radiation of linear momentum 10

^{$$-$$27}kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the particle.