# What is the de Broglie wavelength of(a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s,(b) a ball of mass 0.060 kg moving at a speed of 1.0 m/s, and(c) a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2 m/s?

Now, we know de Broglie wavelength of Particle can be given by relation

Where, 𝜆 is de Broglie wavelength of a Particle
m, mass of the body
v, velocity of the body
h, planck constant = 6.63 × 10-34 Js

(a)
given,

mass of bullet, m = 0.040 kg

the speed of bullet is, v = 1.0 km/s = 1000 m/s

putting the valued of m, v, h in the relation

we get the de Broglie wavelength of Bullet as

So, de Broglie wavelength of Bullet is 1.65 × 10-35 m

(b)
given,
mass of Ball
m = 0.060 kg

the speed of Ball is, v = 1.0 m/s

putting the valued of m , v, h in the relation

we get the de Broglie wavelength of Ball as

So, de Broglie wavelength of Ball is 1.1 × 10-32 m

(c)
given,

mass of dust particle
m = 1 × 10-9 kg

the speed of dust particle is

v = 2.2 m/s

putting the valued of m, v, h

we get the de Broglie wavelength of Ball as

So, de Broglie wavelength of Dust Particle is 3.0 × 10-25 m

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