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JEE Main2009ChemistryStructure of AtomActual

In an atom, an electron is moving with a speed of 600 ~m / s with an accuracy of 0.005 % . Certainity with which the position of the electron can be located is (h=6.6 10⁻³⁴ ~kg ~m ^2 ~s ⁻¹ . , mass of electron, e_m=9.1 10⁻³¹ ~kg )

Options

  1. A1.52 10⁻⁴ ~m
  2. B5.10 10⁻³ ~m
  3. C1.92 10⁻³ ~m
  4. D3.84 10⁻³ ~m

Correct answer

C. 1.92 10⁻³ ~m

Step-by-step solution

aligned & x . m v = h 4 & x = h 4 m v & v =600 0.005 100 =0.03 & x = 6.625 10⁻³⁴ 4 3.14 9.1 10⁻³¹ 0.03 =1.92 10⁻³ ~m aligned

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