The uncertainty in the position of a flying dust particle of mass 0.1 mg is found to be 10^(-4)m. The uncertainty in the position of another flying dust particle of mass 0.5 mg is also found to be same The uncertainty in the velocity of the lighter dust particle is nearly

The uncertainty in the position of a flying dust particle of mass 0.1

1.	The uncertainty in the position of a flying dust particle of mass 0.1 mg is found to be 10^(-4)m. The uncertainty in the position of another flying dust particle of mass 0.5 mg is also found to be same The uncertainty in the velocity of the lighter dust particle is nearly
Answer» `5 xx 10^(-24) ms^(-1)` `2.5 xx 10^(-24) ms^(-1)` `1.25 xx 10^(-24) ms^(-1)` `5 xx 10^(-25) ms^(-1)` Solution :For lighter DUST PARTICLE of mass, m = 0.1 mg `Delta x = 10^(-4) m` `Delta x.(m Delta v) = (H)/(4pi)` `:. 10^(-4) m (0.1 xx 10^(-6) kg xx Delta v)` `= (6.6 xx 10^(-34) kg m^(2) s^(-1))/(4 xx 3.14)` or `Delta v = 5.25 xx 10^(-24) ms^(-1)`