Calculate the uncertainty in the velocity of a wagon of mass 3000kg whose position is known to an accuracy of +- 10 pm (Planck's constant = 6.63 xx 10^(-34) Js)

Calculate the uncertainty in the velocity of a wagon of mass 3000kg wh

1.	Calculate the uncertainty in the velocity of a wagon of mass 3000kg whose position is known to an accuracy of +- 10 pm (Planck's constant = 6.63 xx 10^(-34) Js)
Answer» Solution :Here, we are GIVEN: `m = 3000 kg, DELTA x = 10` pm `= 10 xx 10^(-12)m = 10^(-11)m` `:.` By uncertainty principle, `Delta v = (H)/(4pi xx m xx Delta x) = (6.63 xx 10^(-34) kg m^(2) s^(-1))/(4 xx (22)/(7) xx 3000 kg xx 10^(-11)m)` `= 1.76 xx 10^(-27) ms^(-1)`