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A proton is accelerated to one tenth of the velocity of light. Suppose velocity can be measured with a precision of $\pm1\%$, what can be the uncertainity in its position?


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Velocity = $\large\frac{3\times10^8}{10}$
$\bigtriangleup V = V\times \large\frac{1}{100} = 3\times 10^5$
$\bigtriangleup x .\bigtriangleup V \approx \large\frac{h}{4\pi m}$
$\bigtriangleup x = \large\frac{h}{4\pi m\bigtriangleup V}$
Hence answer is (d)
answered Feb 5, 2014 by sharmaaparna1

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