Q.

The logλvslogE graph between energy E of an electron and its de-Broglie wavelength λ will be

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a

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b

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c

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d

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answer is C.

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Detailed Solution

We know that if the mass of the electron is m and the energy of  the electron is E then the De Brogile wavelength of  the electron is  given by   λ=h2mE
By applying logarithm ,we get log  λ=log[h2mE]
logλ=loghlog2mE
.logλ=log[h2m]12logE
 The graph bêtween log λ  and log E is a straight line with a negative slope and positive Y-intercept 

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