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Q.

Calculate the minimum uncertainty in velocity of a particle of mass  1.1  ×  10−27  kg if uncertainty in its position is 3  ×  10−10  cm.

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a

1.5  ×  10−4  m

b

2.5  ×  10−4  m

c

3.5  ×  10−4  m

d

4.5  ×  10−4  m

answer is A.

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Detailed Solution

Δx. Δv  ≥  h4πmΔv  ≥  hΔx.4π.m=6.6  ×  10−343  ×  10−10 × 10−2m × 4 × 3.14  ×1.1 ×  10−27=  1.5  ×  10−4  m/s
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