Question

What is the wavelength of a 147-g baseball traveling at 91.0 mph?

Answer 1

Answer: its D

Step-by-step explanation:

Answer 2

The formula to determine the wavelength is, De-Broglie wavelength formula:

`\lambda =(h)/(mv)` -(1)

where,
`\lambda` is wavelength, m is mass, v is velocity and h is Planck's constant =
`6.63* 10^(-34) Js` =
`6.63* 10^(-34) kgm^(2)s^(-1)`

mass, m = 147 g (given)

Since, 1 g = 0.001 kg

So, 147 g = 0.147 kg

v = 91.0 mph (given)

Converting mph to mps:

Since,
`1 mph = (1.609* 10^(3) ms^(-1))/(60* 60)`

So,
`90 mph = (91* 1.609* 10^(3) ms^(-1))/(60* 60)` =
`40.67 ms^(-1)`

Substituting the values in formula 1:

`\lambda =(6.63* 10^(-34) kgm^(2)s^(-1))/(0.147 kg* 40.67 ms^(-1))`

`\lambda =1.11* 10^(-34) m`

Hence, the wavelength wavelength of a 147-g baseball traveling at 91.0 mph is

`1.11* 10^(-34) m`.