A golf ball of mass ' m ' has a speed of 50 ~ms ⁻¹ , If the speed can be measured within accuracy of 2 % , the uncertainty in the position is

Step-by-step solution

The uncertainty in the speed is 2 % i.e. 50 2 100 =1 ~ms ⁻¹ According to Heisenberg uncertainty principle, aligned & x = h 4 ~m v & x = h 4 ~m 1 ~ms ⁻¹ ~g [1 ~g =10⁻³ ~kg ] & x = h 4 ~m 10⁻³ & x = h 4 ~m 10^3 [1 ~J =1 ~kg ~m ^2 ~s ⁻² ] aligned