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Q.

A photon has energy E  which is equal to K.E. of proton.  If  λ1 is the wavelength of proton and λ2  is wavelength of photon then \frac{{{\lambda _1}}}{{{\lambda _2}}}\  is directly proportional to

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a

{E^{1/2}}\

b

{E^{ - 1/2}}\

c

E

d

E2

answer is A.

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Detailed Solution

\frac{{{\lambda _1}}}{{{\lambda _2}}} = \frac{{h/\sqrt {2ME} }}{{hc/E}}\

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A photon has energy E  which is equal to K.E. of proton.  If  λ1 is the wavelength of proton and λ2  is wavelength of photon then   is directly proportional to