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Q.

Heisenberg's principle is applicable to sub atomic particles only. If the magnitude of uncertainity in position is equal to uncertainity of momentum for a particle of mass $1.45 \times 10^{- 17} Kg$ , then the uncertainity in velocity will be equal to------- m/s

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a

1

b

0.5

c

2

d

4

answer is B.

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Detailed Solution

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Heisenberg's principle;

$∆ x . ∆ p = \frac{h}{4 π}; Given ∆ x = ∆ p = m ∆ v; ∴ {(∆ p)}^{2} = \frac{h}{4 π}; m^{2} {(∆ v)}^{2} = \frac{h}{4 π}; ∆ v = \frac{1}{2 m} \sqrt{\frac{h}{π}}; h = 6.625 \times 10^{- 34} J . s; Given, m = 1.45 \times 10^{- 17} Kg; we know \sqrt{\frac{h}{π}} = 1.45 \times 10^{- 17}; ∆ v = 0.5 m / s;$

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