When photons of wavlength `lambda_(1)` are incident on an isolated sphere suspended by an insulated thread, the corresponding stopping potential is found to be `Delta V.` When photons of wavelength `lambda_(2)` are used, the corresponding stopping potential was thricle of the above value. If light of wavelength `lambda_(3)` is used, the stopping potential for this case would be

Options

A. `(hc)/e[1/(lamda_(3))+1/(2lamda_(2))-3/(2lamda_(1))]`
B. `(hc)/e[1/(lamda_(3))+1/(lamda_(2))-1/(lamda_(1))]`
C. `(hc)/e[1/(lamda_(3))+1/(2lamda_(2))-1/(lamda_(1))]`
D. `(hc)/e[1/(lamda_(3))-1/(lamda_(2))-1/(lamda_(1))]`

Answer

A

Explanation

`eV=(hc)/(lamda_(1))-phi_(0)`
`3eV=(hc)/(lamda_(2))-phi_(0)`
`eV^(')=(hc)/(lamda_(3))-phi_(0)`
using these equation `V^(')=`
`(hc)/e(1/(lamda_(3))+1/(2lamda_(2))-3/(2lamda_(1)))`