Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

Question

Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be (A) 1: 2 (B) 1: 3 (C) 2: 3 (D) 3: 2

Tardigrade Admin · Accepted Answer

(1/2) mv 12=4 φ (1/2) mv 22=9 φ ( v 1/ v 2)=(2/3)

Q. Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the metal surface successively. The ratio of the maximum velocities of the photoelectron emitted, in the two cases respectively, will be

$1 : 2$

$1 : 3$

$2 : 3$

$3 : 2$

$\frac{1}{2} m v_{1}^{2} = 4 ϕ$
$\frac{1}{2} m v_{2}^{2} = 9 ϕ$
$\frac{v _{1}}{v _{2}} = \frac{2}{3}$