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) ?

The product of uncertainty in the position and uncertainty in velocity

1.	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» Solution :`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 = xtherefore x/5 = 5 `