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If the de Broglie wavelength of a particle of mass m is 100 times its velocity, then its value in terms of its mass (m) and Planck's constant (h) is

Answer»

`(1)/(10) sqrt((m)/(h))`
`10 sqrt((h)/(m))`
`(1)/(10) sqrt((h)/(m))`
`10 sqrt((m)/(h))`

Solution :Suppose velocity `(V) = X`
Then DE Broglie wavelength `(LAMDA) = 100x`
Now, `lamda =(h)/(mv) " " :.100x = (h)/(MX)`
or `x^(2) = (1)/(100) (h)/(m) or x = (1)/(10) sqrt((h)/(m))`
Hence, `lamda = 100x = 10 sqrt((h)/(m))`


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