In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005\% . Certainty with which the position of the electron can be locat - Chemistry MCQ AIEEE 2009 2026 | ExamTest.live

mediumMCQAIEEE 20092026Chemistry

1 mark

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005% . Certainty with which the position of the electron can be located is (h = 6.6 \times 1 0^{- 34} kg m^{2} s^{- 1}, mass of electron m_{e} = 9.1 \times 1 0^{- 31} kg):

Solution & Step-by-step Explanation

Uncertainty in velocity Δ v = 600 \times \frac{0.005}{100} = 0.03 m/s .According to Heisenberg's Uncertainty Principle: Δ x \cdot m Δ v \geq \frac{h}{4 π} Δ x = \frac{6.6 \times 1 0 ^{- 34}}{4 \times 3.14 \times 9.1 \times 1 0 ^{- 31} \times 0.03} Δ x = \frac{6.6 \times 1 0 ^{- 34}}{3.429 \times 1 0 ^{- 31}} \approx 1.92 \times 1 0^{- 3} m

Try it yourself before checking the explanation above.

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005% . Certainty with which the position of the electron can be located is (h = 6.6 \times 1 0^{- 34} kg m^{2} s^{- 1}, mass of electron m_{e} = 9.1 \times 1 0^{- 31} kg):

1.52 \times 1 0^{- 4} m

5.10 \times 1 0^{- 3} m

1.92 \times 1 0^{- 3} m

3.84 \times 1 0^{- 3} m

Practice with timed mock tests and track your performance across Chemistry.