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 xx 10^(-34) kg m^(2) s^(-1), " mass of electron, " m_(e) = 9.1 xx 10^(-31) kg)

In an atom, an electron is moving with a speed of 600 m/s with an accu

1.	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 xx 10^(-34) kg m^(2) s^(-1), " mass of electron, " m_(e) = 9.1 xx 10^(-31) kg)
Answer» `1.52 XX 10^(-4) m` `5.10 xx 10^(-3) m` `1.92 xx 10^(-3)m` `3.84 xx 10^(-3) m` SOLUTION :`Delta v = (0.005)/(100) xx 600 MS^(-1) = 3 xx 10^(-2) ms^(-1)` `Delta x xx m Delta v = (h)/(4pi)` `:. Delta x = (h)/(4pi m Delta v)` `= (6.6 xx 10^(-34) KG m^(2) s^(-1))/(4 xx 3.14 xx 9.1 xx 10^(-31) kg xx 3 xx 10^(-2) ms^(-1))` `= 1.92 xx 10^(-3) m`