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.

Respuesta :

Answer:

λ = 1.72 x 10⁻³⁴ m

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,  

[tex]\lambda=\dfrac{h}{p}[/tex]

p is the momentum of the particle, m v

h is the planks constant

h = 6.6 x 10⁻³⁴ m².kg/s

[tex]\lambda=\dfrac{6.6\times 10^{-34}}{mv}[/tex]

[tex]\lambda=\dfrac{6.6\times 10^{-34}}{0.06\times 63.94}[/tex]

     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