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When photon of wavelength lambda(1) are ...

When photon of wavelength `lambda_(1)` are incident on an isolated shere supended by an insulated , the corresponding stopping potential is found to be `V`. When photon of wavelength `lambda_(2)` are used , the orresponding stopping potential was thrice the above value. If light of wavelength `lambda_(3)` is used , carculate the stopping potential for this case.

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))]`

Text Solution

Verified by Experts

The correct Answer is:
A
`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)))`
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