TS EAMCET · Chemistry · Structure of Atom
The uncertainty in position and velocity of a particle in motion are \(1 \times 10^{-8} \mathrm{~m}\) and \(6.627 \times 10^{-20} \mathrm{~m} / \mathrm{s}\), respectively. The mass of the particle is \(\left(h=6.627 \times 10^{-34} \mathrm{Js}\right)\)
- A \(\frac{10^{-4}}{2 \pi} \mathrm{kg}\)
- B \(\frac{10^{-4}}{4 \pi} \mathrm{kg}\)
- C \(\frac{10^{-6}}{2 \pi} \mathrm{kg}\)
- D \(\frac{10^{-6}}{4 \pi} \mathrm{kg}\)
Answer & Solution
Correct Answer
(D) \(\frac{10^{-6}}{4 \pi} \mathrm{kg}\)
Step-by-step Solution
Detailed explanation
Given, uncertainty in position \((\Delta x)=1 \times 10^4 \mathrm{~m}\) uncertainty in velocity \((\Delta v)=0.627 \times 10^{-20} \mathrm{~ms}^{-1}\) Also, \(\because \quad \Delta x \cdot \Delta v=\frac{h}{4 \pi \cdot m}\) where, \(h=\) Plank's constant…
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