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Uncertainty in the position of an electron (mass = 9.1 × 10^−31 kg) moving with a velocity 300 m s^−1, accurate upto 0.001% will be
- 1.92 × 10^−2 m
- 3.84 × 10^−2 m
- 19.2 × 10^−2 m
- 5.76 × 10^−2 m
Correct answer: 1.92 × 10^−2 m
Solution
The uncertainty in position can be calculated using the formula for uncertainty in velocity and the Heisenberg uncertainty principle. Given the velocity and its accuracy, the resulting uncertainty in position is derived to be 1.92 × 10^−2 m, making it the correct option.
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