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#### Question

A proton and a deuteron are accelerated through the same accelerating potential. Which one of the two has

less momentum?

Give reasons to justify your answer.

#### Solution

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The photoelectric threshold wavelength of a metal is 230 nm. Determine the maximum kinetic energy in joule and in eV of the ejects electron for the metal surface when it is exposed to a radiation of wavelength 180 nm.

[Planck’s constant : h = 6.63 * 10^{-34} Js, Velocity of light : C = 3 * 10^{8} m/s.]

The threshold wavelength of silver is 3800Å. Calculate the maximum kinetic energy in eV of photoelectrons emitted, when ultraviolet light of wavelength 2600Å falls on it.

(Planck’s constant, h =6.63 x 1O^{-34}J.s.,

Velocity of light in air, c = 3 x 10^{8} m / s)

Find the wave number of a photon having energy of 2.072 eV

Given : Charge on electron = 1.6 x 10^{-19} C,

Velocity of light in air = 3 x 10^{8} m/s,

Planck’s constant = 6.63 x 10^{-34} J-s.

State two important properties of photon which are used to write Einstein’s photoelectric equation.

Define (i) stopping potential and (ii) threshold frequency, using Einstein’s equation and drawing necessary plot between relevant quantities.