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JEE Main202224 Jun 2022Morning ShiftPhysicsDual Nature of MatterActual

When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v 1 . When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v 2 . If v 2 = x v 1 , the value of x will be _____ .

Correct answer

0

Step-by-step solution

Maximum kinetic energy is expressed as K max = h f - ϕ , here, ϕ is work function of metal. For first case, 1 2 m v 1 2 = h 2 f 0 − f 0 For second case, 1 2 m v 2 2 = h 5 f 0 − f 0 ⇒ v 2 2 v 1 2 = 4 1 ⇒ v 2 v 1 = 2

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