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Chemistry · Structure of atom

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).\n Assertion (A): The exact position and exact momentum of an electron in an atom cannot be determined simultaneously.\n Reason (R): The product of uncertainties in position and momentum for a microscopic particle is less than \( \frac{h}{4\pi} \). \nIn the light of the above statements, choose the correct answer from the options given below:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. (A) is true but (R) is false.
  4. (A) is false but (R) is true.

Correct answer · Option 3

(A) is true but (R) is false.

Explanation

According to Heisenberg's Uncertainty Principle, \( \Delta x \times \Delta p_x \ge \frac{h}{4\pi} \). Thus, the product is greater than or equal to \( \frac{h}{4\pi} \), making Reason (R) false.
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