Question

Determine the wavelength of a tennis ball after a good serve. Assume the mass of a tennis ball is about 60 g and the velocity of good serve is about 230 km/h.

Answer 1

λ = 1.72 x 10⁻³⁴ m

Step-by-step explanation:

given,

mass of the tennis ball = 60 g

= 0.06 Kg

velocity of good serve = 230 Km/h

1 km/h = 0.278 m/s

230 km/h = 230 x 0.278

= 63.94 m/s

wavelength,

`\lambda=(h)/(p)`

p is the momentum of the particle, m v

h is the planks constant

h = 6.6 x 10⁻³⁴ m².kg/s

`\lambda=(6.6* 10^(-34))/(mv)`

`\lambda=(6.6* 10^(-34))/(0.06* 63.94)`

λ = 1.72 x 10⁻³⁴ m

The wavelength of the tennis after a good serve is equal to λ = 1.72 x 10⁻³⁴ m