The uncertanities in then velocities of two particle A and B are 0.05 and 0.02`ms^(-1)` respectively.The mass of B is five times to that of A.What is the ratio of uncertainities `[(Delta x_(A))/(Delta x_(B))]`in their positions?

Options

A. 2
B. 0.25
C. 4
D. 1

Answer

A

Explanation

`Delta x_A . ""m_A .Delta v_A = Delta x_B. ""m_B . Delta v_B` `(Deltax_a)/(Deltax_b) = (m_b . Delta V_b)/(m_a . Delta V_a) = 5/1 x (0.02)/(0.05) =2 `