Uncertainty in position of a particle of 25 g in space is 10–5 m. Hence, uncertainty in velocity (m s–1) is (Planck’s constant, h = 6.6 × 10–34 Js)
(a) 2.1 × 10–28 (b) 2.1 × 10–34 (c) 0.5 × 10–34 (d) 5.0 × 10–24
Best answer
Correct option is (a) 2.1 × 10–28
Explaination::
mass=25g=25\(\times 10^{-3}\) kg , Δx=10−5m
According to Heisenberg uncertainty principle
\(\triangle x.m.\triangle v=\frac{h}{4\pi}\)
\(\therefore \triangle v=\frac{h}{\triangle x.m.4\pi}\)
\(\frac{h}{4\pi}=5.272859 × 10^{-35}\) -{plancks constant / 4 π}
\(\therefore \triangle v=\frac{5.272859 × 10^{-35}}{25\times 10^{-3}\times10^{-5}}\)
\(\therefore \triangle v= 2.1 \times 10^{-28}\) m s-1
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