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A particle X moving with a certain veloc...

A particle `X` moving with a certain velocity has a debragile wave length of `1.72Å`, If particle `Y` has a mass of `50%` that of `X` and velocity `50%` that of `X`, debroglies wave length of `Y` will be `-`

A

`3Å`

B

`5.33Å`

C

`6.88Å`

D

`48Å`

Text Solution

Verified by Experts

The correct Answer is:
3

`lambda=(h)/(mv)" "lambda_(x)=(h)/(m_(x)v_(x))" "lambda_(y)=(h)/(m_(y)v_(y))`
`m_(y)=(m_(x))/(2)" "lambda_(y)=(V_(y))/(2)" "(lambda_(x))/(lambda_(y))=(1)/(4)`
`lambda_(y)=1.72xx4=6.88A`
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