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One increasing the operating voltage in ...

One increasing the operating voltage in a x-ray tube by `1.5` times, the shortest wavelength decreases by `26 "pm"`. Find the original value of operating voltage.

A

`1*24 times 10^(4)V`

B

`15*9 times 10^(-2)V`

C

`3 times 10^(6)V`

D

`15*9 times 10^(3)V`

Text Solution

Verified by Experts

The correct Answer is:
D
`K.E.=(hc)/(lambda_(min)) rArr lambda_(min)=(hc)/(K.E.)` `26 times 10^(-2)=1.24 times 10^(4) times 1/(3V)`
`therefore V=(1.24 times 10^(4))/(3 times 26 times 10^(-2))=15.9 times 10^(3)V`
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