1.

alpha-particle and deuteron moves with speed v and 2v respectively .What will be ratio of de-Broglie wavelength ?

Answer»

`1:1`
`sqrt(2):1`
`1:sqrt(2)`
`2:1`

SOLUTION :In `lambda=(h)/(mv)`,h is constant
`THEREFORE lambda PROP (1)/(mv)`
`therefore (lambda_(1))/(lmbda_(d))=(m_(d)v_(d))/(m_(alpha)v_(alpha))`
`=(2m_(p))/(4m_(p))xx(2v)/(v)=(4m_(p)v)/(4m_(p)v)=(1)/(1)`


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