Question

A macroscopic particle of mass 100 g and moving at a velocity of 100 cm s⁻¹ will have a de Broglie wavelength of
a) 6.6 × 10⁻²⁹ cm
b) 6.6 × 10⁻³⁰ cm
c) 6.6 × 10⁻³¹ cm
d) 6.6 × 10⁻³² cm

Answer 1

The mass of macroscopic particle m = 100 g
or 100 g = 0.1 kg
Velocity of macroscopic particle = 100 cm/s

or 100 cm/s = 1 m/s

According to the De Broglie Wavelength Equation, we have

λ = h / mv

where m = mass of particle

v = velocity of particle

h = Plancks constant = 6.266 x 10⁻³⁴ J s

λ = Wavelength of particle

So, putting values, we get

λ = (6.626 x 10⁻³⁴ J s) / (0.1)(1)

λ = 6.626 x 10⁻³⁵ m

Wavelength, λ = 6.626 x 10⁻³⁵ m

Answer 2

Answer:

C. 6.6 x 10^-31 cm