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The de - Broglie wavelength of a particl...

The de - Broglie wavelength of a particle accelerated with `150 volt` "potential is" `10^(-10) m`. If it is accelerated by `600 volts p.d`., its wavelength will be

A

`0.25 Å`

B

`0.5 Å`

C

`1.5 Å`

D

`2 Å`

Text Solution

Verified by Experts

The correct Answer is:
B

By using `lambda prop (1)/(sqrt(V)) rArr (lambda_(1))/(lambda_(2)) = sqrt((V_(2))/(V_(1)))`
`rArr (10^(-10))/(lambda_(2)) = sqrt((600)/(150)) = 2 rArr lambda_(2) = 0.5 Å`.
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