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Question

Question: A ball of mass m travelling with a certain velocity has a kinetic energy K. Then the de-Broglie wave...

A ball of mass m travelling with a certain velocity has a kinetic energy K. Then the de-Broglie wavelength associated with the ball is

A

h2mK\frac{h}{\sqrt{2mK}}

B

h2mK\sqrt{\frac{h}{2mK}}

C

h2mK\frac{h}{2mK}

D

None of these

Answer

h2mK\frac{h}{\sqrt{2mK}}

Explanation

Solution

l = hp\frac{h}{p} = h2mE\frac{h}{\sqrt{2mE}} = h2mK\frac{h}{\sqrt{2mK}}