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AP EAMCET2006ChemistryStructure of Atom

The uncertainties in the velocities of two particles A and B are 0.05 and 0.02 ~m / s ⁻¹ respectively. The mass of B is five times to that of mass A . What is the ratio of uncertainties ( x_A x_B ) in their positions?

Options

  1. A2
  2. B0.25
  3. C4
  4. D1

Correct answer

A. 2

Step-by-step solution

According to Heisenberg x m v= h 4 where x= uncertainty in position. m= mass of particle v= uncertainty in velocity According to question x_A m 0.05= h 4 (1) x_B 5 m 0.02= h 4 (2) Eq. (1) divided by Eq. (2), then x_A m 0.05 x_B 5 m 0.02 =1 or x_A x_B =2

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