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Q.

The uncertainty in the position of an electron moving with a velocity of  1  ×  104 cm  s−1(accurate up to 0.011%) will be

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a

1.92 cm

b

7.68 cm

c

0.528 cm

d

3.8 cm

answer is C.

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Detailed Solution

Δv= 1  ×  104× 0.011100=1.1 cm  sec−1Δx=  h4πm Δv = 6.62  ×  10−27 4  ×  3.14   ×  9.1 ×  10−28×  1.1 =0.528  cm
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The uncertainty in the position of an electron moving with a velocity of  1  ×  104 cm  s−1(accurate up to 0.011%) will be