The threshold frequency of a metal is ' F₀ '. When light of frequency 2F₀ is incident on the metal plate, the maximum velocity of photoelectron is ' V₁ '. When the frequency of incident radiation is increased to ' 5F₀ ', the maximum velocity of photoelectrons emitted is ' V₂ '. The ratio of V₁ to V₂ is (a) 1/8 (b) 1/16 (c) 1/4 (d) 1/2

Answer: (d). 1/2mv² = hν - hν₀ At 2ν₀: K₁ = hν₀; at 5ν₀: K₂ = 4hν₀ (v₁)/(v₂) = √(1/4) = 1/2 So the answer is (d) 1/2.

The threshold frequency of a metal is ' F₀ '. When light of frequency… | MHT CET 2024 (4 May, Shift 1)

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Photoelectric Effect: Einstein's Equation

The threshold frequency of a metal is ' $F_0$ '. When light of frequency $2F_0$ is incident on the metal plate, the maximum velocity of photoelectron is ' $V_1$ '. When the frequency of incident radiation is increased to ' $5F_0$ ', the maximum velocity of photoelectrons emitted is ' $V_2$ '. The ratio of $V_1$ to $V_2$ is

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Answer: (d)

$\frac{1}{2}mv^2 = h\nu - h\nu_0$
At $2\nu_0$ : $K_1 = h\nu_0$ ; at $5\nu_0$ : $K_2 = 4h\nu_0$
$\frac{v_1}{v_2} = \sqrt{\frac{1}{4}} = \frac{1}{2}$
So the answer is (d) $\frac{1}{2}$ .

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