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Q.

According to Heisenberg's uncertainty principle, the product of uncertainties in position and velocities for an electron of mass 9.1×1031  kg  is

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a

2.8×103m2s1

b

3.8×105m2s1

c

5.8×105m2s1

d

6.8×106m2s1

answer is C.

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Detailed Solution

Given that mass of electron = 9.1×1031  kg

Planck's constant = 6.63×1034  m2s1

By using Δx×Δp=h4πΔx×Δvm=h4πwhere:               Δx=uncertaintyinposition                              Δv=uncertaintyinvelocityΔx×  Δv=h4π×m=6.63×10344×3.14×9.1×1031=5.8×105m2s1

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