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Question

Question: The maximum velocity of an electron emitted by light of wavelength l incident on the surface of a me...

The maximum velocity of an electron emitted by light of wavelength l incident on the surface of a metal of work function W is –

A

[2(hc+λW)mλ]1/2\left\lbrack \frac{2(hc + \lambda W)}{m\lambda} \right\rbrack^{1/2}

B

2(hcλW)m\frac{2(hc–\lambda W)}{m}

C

[2(hcλW)mλ]1/2\left\lbrack \frac{2(hc–\lambda W)}{m\lambda} \right\rbrack^{1/2}

D

[2(hλW)m]1/2\left\lbrack \frac{2(h\lambda –W)}{m} \right\rbrack^{1/2}

Answer

[2(hcλW)mλ]1/2\left\lbrack \frac{2(hc–\lambda W)}{m\lambda} \right\rbrack^{1/2}

Explanation

Solution

= W + 12\frac { 1 } { 2 } mv2

12\frac { 1 } { 2 } mv2 = hcλ\frac { \mathrm { hc } } { \lambda } – W

12\frac { 1 } { 2 } mv2 =

v2 = 2 (hcWλ)mλ\frac { ( \mathrm { hc } - \mathrm { W } \lambda ) } { \mathrm { m } \lambda }

v =