We can use two equations to solve this.
(1) - E = hf
E = Energy (J)
h = plank's constant (6.63 × 10⁻³⁴ J s)
f = frequency (Hz)
(2) - v = fλ
v = velocity of the wave (m/s)
f = frequency (Hz)
λ = wavelength (m)
the λ for the given wave is 625nm (625 x 10⁻⁹ m) and the velocity of the wave is equal to speed of light (3 x 10⁸ m/s) since the wave is a light.
hence we can find the frequency of the wave by using (2) formula.
3 x 10⁸ m/s = f x 625 x 10⁻⁹ m
f = 4.8 x 10¹⁴ Hz
by using calculated frequency and (1) formula, we can find the energy of the wave.
E = 6.63 × 10⁻³⁴ J s x 4.8 x 10¹⁴ Hz
E = 3.18 x 10⁻¹⁹ J
The energy of wave is less than energy needed to eject an electron.
Hence, the metal does not eject electron.
