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For particles having same K.E., the de-B...

For particles having same K.E., the de-Broglie wavelength is

A

Directly proportional to its velocity

B

Inversely proportionals to its velocity

C

Independent of its mass and velocity

D

Unpredictable

Text Solution

Verified by Experts

The correct Answer is:
A

`(lambda_(1))/(lambda_(2)) = (m_(2)v_(2))/(m_(1)v_(1)) = ((1)/(2)m_(2)v_(2)^(2))/((1)/(2)m_(1)v_(1)^(2)).(v_(1))/(v_(2)) = (K.E_(1))/(K.E_(2)) = (v_(1))/(v_(2))`
As `K.E_(1) = K.E_(2)`
`:. (lambda_(1))/(lambda_(2)) = (v_(1))/(v_(2))` or `lambda prop v`
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