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If the uncertainity in locating the posi...

If the uncertainity in locating the position of a proton `(m=1.67xx10^(-27 kg))` is `5 mu m`, the uncertainitiy in its speed will be

A

`ge 9.3 xx 10^(-3)ms^(-1)`

B

`ge 6.3 xx 10^(-3)ms^(-1)`

C

`ge 6.3 xx 10^(-2) ms^(-1)`

D

`le 6.3 xx 10^(-2)ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Delta upsilon ge (h)/(4pi) ((1)/(m_(p)Delta x))=((6.626xx10^(-34)Js))/((4)xx(3.14)(1.67 xx 10^(-27)kg) (5xx10^(-6)m)) =6.3xx10^(-3)ms^(-1)`
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