Question

Calculate the minimum wavelength (λ0) for the continuous spectrum of X-rays emitted when.. a) 30-kV electrons strike a cobalt (Co) target

b) 60-kV electrons strike a copper (Cu) target

Answer 1

Step-by-step explanation:

The relationship between the wavelength and the potential difference V is given by :

`\lambda=(h)/(√(2me))* (1)/(√(V))`

Putting the values of known parameters,

`\lambda=(12.28)/(√(V) )* 10^(-10)\ m`

(a)
`V=30\ kV=30000\ V`

`\lambda=(12.28)/(√(30000) )* 10^(-10)\ m`

`\lambda=7.08* 10^(-12)\ m`

(b)
`V=60\ kV=60000\ V`

`\lambda=(12.28)/(√(60000) )* 10^(-10)\ m`

`\lambda=5.01* 10^(-12)\ m`

Hence, this is the required solution.