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the mass of an electron is 9.1 xx 10^(-3...

the mass of an electron is `9.1 xx 10^(-31) ` kg . If its K.E. is ` 3.0xx 10^(-25) J`. Calculate its wavelength .

Text Solution

Verified by Experts

The correct Answer is:
8967Å
Kinetic energy `=1/2 mv^2`
`v=((2 xx" Kinetic energy ")/(m))^1/2`
`=(2 xx 3 xx 10^(-25))/(9.1 xx 10^(-31))^(1/2)=811.99ms^(-1)`
The wavelength `lambda` is given by
`lambda=h/(mv)=(6.626 xx 10^(-34))/(9.1 xx 10^(-31) xx 811.99)`
`=8.967 xx 10^(-7)m=8967A`
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