The product of uncertainty in the position and uncertainty in velocity of a particle is 5.79 10^-5m^2s^-1. If uncertainty in the position is 1 nm, what is the uncertainty in the measurement of its ve…

Question

The product of uncertainty in the position and uncertainty in velocity of a particle is 5.79 10^-5m^2s^-1. If uncertainty in the position is 1 nm, what is the uncertainty in the measurement of its velocity in ms^-1 ?

Accepted Answer

Correct answer: D. (d) According to Heisenberg's uncertainty principle, x . v= h4 πmwhere, x= uncertainty in position v= uncertainty in velocity h= Planck's constant Substituting the given values, we get 10^-9 m v=5.79 10^-5 m^2 s^-1 ( ∵1 nm=10^-9 m) or v= 5.79 10^-5 m^2 s^-110^-9 m=5.79 10^4 ms^-1

$The product of uncertainty in the position and uncertainty in velocity of a particle is 5.79 \times 10^{- 5} m^{2} s^{- 1} . If uncertainty in the position is 1 nm, what is the uncertainty in the measurement of its velocity in ms^{- 1} ?$

Solution

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