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Question

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


A

2.8 × 103 m2 s1

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B

3.8 × 105 m2 s1

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C

5.8 × 105 m2 s1

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D

6.8 × 106 m2 s1

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Solution

The correct option is C

5.8 × 105 m2 s1


We know ,from Heisenberg Uncertainty Principle,

x × p = h4π

x × v = h4πm

Given that mass of electron = 9.1 × 1031 kg

Plank's constant = 6.63 × 1034 kg m2 s1

By using x × v = h4π×m ;

Where: x = uncertainty in position

v = uncertainty in velocity

x × v = h4πm
= 6.63×10344×3.14×9.1×1031 = 5.8 × 105 m2 s1


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