In an atom, an electron is moving with a speed of 600m/s with an accuracy of 0.005%. Certainty with which the position of the electron can be located is ( h = 6.6 x10^-34 kgm2s^-1 mass of electron, em= 9.1 x10^-31kg)

1.52 x 10^-4m

5.10 x 10^-3m

1.92 x 10^-3m

3.84 x 10^-3m

Solution

1.92 x 10^-3m

increment straight x. straight m space increment straight v space equals space fraction numerator straight h over denominator 4 straight pi end fraction increment straight x space equals space fraction numerator straight h over denominator 4 straight pi space straight m increment straight v end fraction increment straight v space equals space 600 space straight x fraction numerator 0.005 over denominator 100 end fraction space equals space 0.03 rightwards double arrow space increment straight x space equals space fraction numerator 6.625 space straight x space 10 to the power of negative 34 end exponent over denominator 4 space straight x 3.14 space straight x 9.1 straight x 10 to the power of negative 31 end exponent space straight x 0.03 end fraction space equals space 1.92 space space straight x space 10 to the power of negative 3 end exponent space straight m

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