Question

The uncertainty in position and velocity of a particle are 10^-10 m and 5.27 *10 ^-24 m/s respectively. Calculate the mass of the particle .​

Answer 1

See the attachment given above

Answer 2

Answer:

The mass of the particle is equal to  $0.100kg$.

Explanation:

Given: For a particle, uncertainty in position , Δx $= 10^{-10}m$

and, uncertainty in velocity,  Δv$=5.27*10^{-27}ms^{-1}$

Consider $m$ is the mass of particle.

From Heisenberg's uncertainty principle,

(Δx)(mΔv) = h/4π                        

m = h/4πΔx.Δv                                                ...................(1)

Put the value of h, Δx and Δv in eq.(1),

$m=\frac{6.626*10^{-34}Js}{(4)(3.14)(10^{-10}m)(5.27*10^{-24}ms^{-1})}$

$m=0.100kg$

Therefore $0.100kg$ is the mass of particle.

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