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Question: The threshold frequency of a metal is 1 × 15 s<sup>–1</sup>. The ratio of maximum kinetic energies o...

The threshold frequency of a metal is 1 × 15 s–1. The ratio of maximum kinetic energies of the photoelectrons when the metal is irradiated with radiations of frequencies 1.5 × 1015 s–1 and 2.0 × 1015 s–1 respectively, would be

A

3 : 4

B

1 : 2

C

2 : 1

D

4 : 3

Answer

1 : 2

Explanation

Solution

from KE = h(n–n0)

KE1KE2\frac{KE_{1}}{KE_{2}}= ν1ν0ν2ν0\frac{\nu_{1}–\nu_{0}}{\nu_{2}–\nu_{0}}

Given n1 = 1.5 × 1015 s–1

n2 = 2.0 × 1015 s–1

n0 = 1015 s–1