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Dual Nature of Radiation and Matter question

2018 · Q134
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Dual Nature of Radiation and Matter question

2018 · Q134

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
When the light of frequency 2υ0{\upsilon _0}υ0​ (where υ0{\upsilon _0}υ0​ 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 5υ0{\upsilon _0}υ0​ , the maximum velocity of electrons emitted from the same plate is v2 . The ratio of v1 to v2 is
  1. A
    1 : 2
  2. B
    1 : 4
  3. C
    4 : 1
  4. D
    2 : 1
View written solutionFree

Correct answer: A

From Einstein’s equation

12mv12=2hν0−hν0=hν0{1 \over 2}mv_1^2 = 2h{\nu _0} - h{\nu _0} = h{\nu _0}21​mv12​=2hν0​−hν0​=hν0​

Again, 12mv22=5hν0−hν0=4hν0{1 \over 2}mv_2^2 = 5h{\nu _0} - h{\nu _0} = 4h{\nu _0}21​mv22​=5hν0​−hν0​=4hν0​

∴\therefore∴ v1v2=14=12{{{v_1}} \over {{v_2}}} = \sqrt {{1 \over 4}} = {1 \over 2}v2​v1​​=41​​=21​

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