The product of uncertainty in the position and uncertainty in velocity of a particle is `5.79 xx 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 `m s^(-1)` ?

Answer

4

Explanation

`Delta x . M Delta v = (h)/(4 pi) , Delta lambda = h/(m Delta v), (25)/(4pi) .(h)/(Delta lambda) = h/(4pi)`
`m Delta v = (h)/(Delta lambda) , Delta lambda = 25 = x therefore x/5 = 5 `