In a photoemissive cell with executing wavelength λ, the fastest electron has speed v. If the exciting wavelength is changed to 3λ/4, the speed of the fastest emitted electron will be
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a
v3/41/2
b
v4/31/2
c
Less than v4/31/2
d
Greater than v4/31/2
answer is D.
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Detailed Solution
hv−Wo=12mvmax2⇒hcλ−hcλo=12mvmax2⇒hcλo−λλλo=12mvmax2⇒vmax2hcmλo−λλλoWhen wavelength is λ and velocity is v, thenv=2hcmλo−λλλo . . . . iWhen wavelength is 3λ4and velocity is v' thenv'=2hcmλo−3λ/43λ/4×λo . . iiDividing equation ii by i, we getv'v=λo3λ/434λλo×λλoλo−λv'=v431/2λ0−3λ/4λo−λi.e., v'>431/2