Q134 / 180 · NEET 2018 · Physics

When the light of frequency 2 ν 0 (where ν 0 is threshold frequency), is incident on a metal plate, the maximum velocity of electrons emitted is v1. When the frequency of the incident radiation is increased to 5ν0, the maximum velocity of electrons emitted from the same plate is v2. The ratio of v1 to v2 is

  • A
    4 : 1
  • B
    1 : 4
  • Correct answer
    C
    1 : 2
  • D
    2 : 1

Solution

From Einstein's equation of Photoelectric effect, we can write

For case 1: 12mv12=2hν0−hν0 ⇒12mv12=hv0 ... (i), where m is mass of electron, h is Planck's constant.

For case 2: 12mv22=5hν0−hν0⇒12 mv22=4hν0 ... (ii)

From (1) and (2)

v1v2=14=12.

Hence, the ratio of v1 and v2 is 1:2.

Hence, the correct answer is option: 'C'.

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