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Q.

The position of proton is measured with an accuracy of ±10−11m. If the speed of proton is equal to speed of light (3 x 108 m/s), what is the uncertainty of proton after 1 s?(h=6.626 x 10-34)

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a

300 m

b

0.30Ao

c

3.15 x 103 m

d

none of these

answer is C.

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Detailed Solution

Δx×Δv=h4πmΔv=h4πm×Δx∆v=∆xt therefore∆xt=h4πm×Δx =1×6.626×10−344×3.14×1.672×10−24×10−11=3.15×103m

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The position of proton is measured with an accuracy of ±10−11m. If the speed of proton is equal to speed of light (3 x 108 m/s), what is the uncertainty of proton after 1 s?(h=6.626 x 10-34)