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18/08/2021 11:34 am
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The uncertainty in the position of an electron (mass = 9.1 × 10–28 g) moving with a velocity of 3.0 × 104 cm s–1 accurate upto 0.011% will be
(a) 1.92 cm
(b) 7.68 cm
(c) 0.175 cm
(d) 3.84 cm
1 Answer
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18/08/2021 11:39 am
Answer: (c) 0.175 cm
Explanation:
Δx.Δp = \(\frac{h}{4 \pi}\) or
Δx.mΔv = \(\frac{h}{4 \pi}\)
Δv = \(\frac{0.011}{100} \times 3 \times 10^4\)
= 3.3 cm s–1
Δx = \(\frac{6.6 \times 10^{-27}}{4 \times 3.14 \times 9.1 \times 10^{-28} \times 3.3}\)
= 0.175 cm
This post was modified 3 years ago by admin