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X and Y both are m oving particles. The ...

X and Y both are m oving particles. The uncertainty in measure of momentum of Y is half than that of X. If uncertainity of position of X is `pm` 0.05A than that of Y is ....

A

`2.5xx10^(-10)` cm

B

`1xx10^(-10)` cm

C

`5xx10^(-10)` cm

D

`1xx10^(-9)` cm

Text Solution

Verified by Experts

The correct Answer is:
D
`1xx10^(-9)` cm
`triangle` p of y=`1/2` of x =`1/2 triangle p_(x)`
For x `triangle x triangle p =(h)/(4pi)`
`0.05 A xx triangle p_(x)=(h)/(4pi)`
`therefore trianglex =0.05 xx2`
`=0.1 xx10^(-10)` cm
`=1xx10^(-9)` cm
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