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PhysicsMediumNumerical2022 · 24 Jun Shift 1

Q29.When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v1 . When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v2 . If v2 = xv1 , the value of x will be _____ .

What This Question Tests

This question applies Einstein's photoelectric equation to find the maximum velocity of emitted electrons for different incident frequencies, requiring algebraic manipulation to find a ratio.

Concepts Tested

Einstein's Photoelectric EquationThreshold FrequencyKinetic Energy of Photoelectrons

Formulas Used

K_max = hf - hfâ‚€

K_max = (1/2)mv²

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