Question

Uncertainty in position of a moving particle is 10^-7m and uncertainty velocity is 24 x 10^-24 m/sec, then mass of particle is [X] x 10^-6 Kg value of X is [Report your answer to nearest integer]

Answer 1

According to Heisenberg uncertainty principle

Δ\(x\) x ΔP \(\underline{>}\) \(\frac{b}{4\pi}\)

⇒ 10^-7 x m Δ v = \(\frac{6.62\times10^{-24}}{4\times3.14}\)

⇒ 10-7 x m x 2.4 x 10^-24 = \(\frac{6.62\times10{-24}}{4\times3.14}\)

M = 0.2196 x 10^-3 Kg

= 21.96 x 10^-6 Kg

= 22