TS EAMCET · Chemistry · Structure of Atom

A microscope using appropriate photons is engaged to track an electron in an atom within distance of $0.001 nm .$ What will be the uncertainty involved in measuring its velocity?

A $5.79 \times 10^{7} m / s$
B $5.79 \times 10^{6} m / s$
C $4.79 \times 10^{7} m / s$
D $3.7 \times 10^{6} m / s$

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Answer & Solution

Correct Answer

(A) $5.79 \times 10^{7} m / s$

Step-by-step Solution

Detailed explanation

According to Heisenberg’s Uncertainty principle: ∆x.∆P ≥h4π ∆x=Uncertainty in position. ∆P=Uncertainty in momentum=m∆V ∆V=Uncertainty in velocity m=9.11×10-31 kg(mass of electron) h=6.626×10-34 Js So,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A microscope using appropriate photons is engaged to track an electron in an atom within distance of 0.001 nm. What will be the uncertainty involved in measuring its velocity?

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A microscope using appropriate photons is engaged to track an electron in an atom within distance of $0.001 nm .$ What will be the uncertainty involved in measuring its velocity?