Question

What is the wavelength (in 10-15 m) of a proton traveling at 13.2% of the speed of light?

Answer 1

The wavelength is
`\lambda = 10.01 *10^(-15) \ m`

Step-by-step explanation:

From the question we are told that

The speed is
`v = 0.132 c`

Where c is the speed of light with value
`c = 3.0 *10^(8) \ m/s`

Generally the wavelength is mathematically represented as

`\lambda = (h)/(m* v )`

where m is the mass of the proton with the value
`m = 1.6726 ^(-27) \ kg`

h is the Planck's constant with value
`h = 6.626 *10^(-34) \ J\cdot s`

=>
`\lambda = (6.626 *10^(-34))/(1.6726 *10^(-34)* 0.132*3.0*10^8 )`

=>
`\lambda = 10.01 *10^(-15) \ m`