AP EAMCET · Chemistry · Structure of Atom
If a suitable photon is employed to locate an electron (mass \(=9.11 \times 10^{-31} \mathrm{~kg}\)) in an atom within a distance of \(10.98 \mathrm{~nm}\), the uncertainty involved in the measurement of its velocity in \(\mathrm{ms}^{-1}\) is
- A \(\frac{1.6565 \times 10^6}{\pi}\)
- B \(\frac{1.6565 \times 10^4}{\pi}\)
- C \(\frac{1.6565 \times 10^{-8}}{\pi}\)
- D \(\frac{1.6565 \times 10^8}{\pi}\)
Answer & Solution
Correct Answer
(B) \(\frac{1.6565 \times 10^4}{\pi}\)
Step-by-step Solution
Detailed explanation
Given, Mass of electron \(=9.11 \times 10^{-31} \mathrm{~kg}\) Position of electron \(=10.98 \mathrm{~nm}\) \(=10.98 \times 10^{-9} \mathrm{~m}\) Here, Planck constant \(=6.63 \times 10^{-34} \mathrm{Js}\) \(\Delta v=?\) According to Heisenberg uncertainty…
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