1)

The uncertainty in position and velocity, of a particle, are 10-10m and 5.27 x 10-24 ms-1 respectively. Calculate the mass of the particle is (h =[ 6.625 x 10-34 Js) 


A) 0.099kg

B) 0.99kg

C) 0.92kg

D) None

Answer:

Option A

Explanation:

According to Heisenberg's uncertainty principle,

$Δx.mΔv = \frac{h}{4\pi}$

or $m= \frac{h}{4\piΔx.Δv}$ = 

$\frac{6.625\times 10^{-34}Js}{4\times3.143\times 10^{-10}m\times5.27\times 10^{-24}m/s}$

= 0.099 kg (J =kgm2s2)