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Q.

The mass of electron is 9.11×10−31kg. Planck’s constant is 6.626×10−34Js, the uncertainty involved in the measurement of velocity within a distance of 0.1A0  is

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a

5.79×106 ms−1

b

5.79×107 ms−1

c

5.79×108 ms−1

d

5.79×105 ms−1

answer is A.

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Detailed Solution

Δx×mΔv =h4πΔv =hΔx×m×4×π Δv =6.6×10−34 J-s0.1×10−10m×9.1×10−31 kg ×4×3.14=5.799 ×106 m/s
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