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[Solved] Calculate the velocity of ejected electron from the metal surface when light of frequency 2 × 10^15 Hz fall on the metal surface and the threshold frequency is 7 × 10^14 Hz for metal?

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Calculate the velocity of ejected electron from the metal surface when light of frequency 2 × 1015 Hz fall on the metal surface and the threshold frequency is 7 × 1014 Hz for metal?

(a) 1.37 × 106

(b) 1.26 × 106

(c) 1.45 × 107

(d) 1.37 × 107

1 Answer
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(a) 1.37 × 106

Explanation:

\(\frac{1}{2}mv^2\) = hv - hv0

⇒ \(\frac{1}{2}mv^2\) = h(v - v0)

⇒ v = \(\sqrt{\frac{2h}{m}(v - v_0)}\)

= \(\sqrt{\frac{2 \times 6.6 \times 10^{-34}}{9.1 \times 10^{-31}}(2 \times 10^{15} - 7 \times 10^{14})}\)

= 1.37 x 106 ms-1

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