Question

33. Uncertainty in position of an electron (mass = 9.1 x
10-28g) moving with a velocity of 3 x 104 cm/s
accurate upto 0.001% will be (Use h/(4T) in uncertainty
expression where h = 6.626 10-27 erg-s)​

Answer 1

Answer:

The answer will be  1.93 cm

Explanation:

According to the problem the mass of the electron , m and velcity ,v are given.

The electron is accurate upto 0.001%

The plank's constant is given, h = 6.626 10^(-27) erg-s

The actual velocity of electron, Δv =  3 x 10^ 4  x 0.001/100 = 0.3 cm/s

Let the uncertainty in position of an electron is Δx

the mass of the electron = 9.1 x  10^(-28)g

therefore,

Δx = h/(4T) = h / 4 x π mΔv  =  6.626 10^(-27)/ 4π( 9.1 x  10^(-28) x0.3

                                               =  1.93 cm