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Uncertainty in the position of an electron (mass = 9.1 x 10-31 kg) moving with a velocity of 300 m/s accurate up to 0.001% will be a×10-2. The value of a is(round off to nearest integer)

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answer is 2.

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Detailed Solution

Δv=0.001100×300=3×10−3ms−1Δx=h4πmΔv=6.6×10−34kgm2s−14×3.14×9.1×10−31kg×3×10−3ms−1=6.64×3.14×9.1×3m=0.01925m=1.925×10−2m

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Uncertainty in the position of an electron (mass = 9.1 x 10-31 kg) moving with a velocity of 300 m/s accurate up to 0.001% will be a×10-2. The value of a is(round off to nearest integer)