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wavelength of 400 nm corresponds to

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By Expert Faculty of Sri Chaitanya
a
frequency (v)=7.5×1014Hz
b
wave number (v¯)=2.5×106m−1
c
momentum (mv)=1.66×10−27kgms−1
d
All of the above

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detailed solution

Correct option is D

(d) Wavelength, λ=400nm=400×10−9m (a) Frequency, v=cλ=3×108ms−1400×10−9m=7.5×1014s−1                            =7.5×1014Hz (correct)  (b) 1λ=v¯ (wave number)           =1400×10−9=2.5×106m−1 (correct)  (c) λ=hp=hmv∴ Momentum, mv=hλ=6.62×10−34Js400×10−9m=1.66×10−27Jsm−1=1.66×10−27kgm2s−2m−1s1J=1kgm2s−2=1.66×10−27kgms−1 (correct)


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