Question

A particle a is moving with a certain velocity has the de broglie wavelength of a



a. for particle b with mass 25% of a and velocity 75 % of



a. calculate de broglie wavelength

Answer 1

Let the mass of a be 'A' and velocity be 'B'
lambda= 1* 10^-10m
de broglie lambda= h/AB
1*10^-10=h/AB                      (eq 1)
for b,

Let de broglie wavelength be x,

x=h/mv
x= h/25%(A).75%(B)
x= h/(A/4).(3B/4)
x=h/(3AB/16)
x=16h/3AB
x=(16/3)(h/AB)

From eq. 1,

Putting value of h/AB
x=(16/3)(1*10^-10)m
x=(16/3)(1) A°

Hence de broglie wavelength for b is 16/3 or 5.33 A°