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If we assume that perptraing power of an...

If we assume that perptraing power of any radiation/particle is inversely proportional to its de-Broglie wavelength of the particle then:

A

A proton and an `alpha`-particle after getting accelerated thorugh same potential difference will have equal penetrating power.

B

Penerating power of `alpha-`particle will be greater than hat of proton which have been accelerated by same potential difference.

C

Protons' penetrating power will be less than pentrating power of an electron which has been accelerated by the same potetnial difference.

D

Pentrating powers cannot be compared as all these are partcles having no wavelength or wave nature.

Text Solution

Verified by Experts

The correct Answer is:
B

`lambda = (h)/(p) = (h)/(sqrt(2mE)) rArr (h)/(sqrt(2m(Vq)))`
`:.` For higher `m` and `q`,
`lambda` will be smaller.
For an 'alpha' particle, both 'm' and 'q' are higher. ltbRgt Hence, lesser is the wavelength.
As, (Penetrating power) `prop` Energy `prop (1)/(lambda)`
From, above, penetrating power of an `alpha`-particle is more than that of a proton.
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