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Change on two particle is 3q and 2q resp...

Change on two particle is 3q and 2q respectivley.Their mass is 2m and 3m respectively.Both are accelerated under same potential difference .Ratio of their de-Broglie wavelength will be….

A

`2:3`

B

`3:2`

C

`1:`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
D
In `lambda=(h)/(sqrt(2mVq))`,h,2 and V are same.
`therefore lambda prop (1)/(sqrt(mq))`
`therefore (lambda_(1))/(lambda_(2))=sqrt((m_(2)q_(2))/(m_(1)q_(1)))=sqrt((3m)/(2m)xx(2q)/(3q))=sqrt(1)`
`therefore (lambda_(1))/(lambda_(2))=1:1`
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