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
- A1.52 10⁻⁴ ~m
- B5.10 10⁻³ ~m
- C1.92 10⁻³ ~m
- 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