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An experimental setup of verification of...

An experimental setup of verification of photoelectric effect is shown in the diagram. The voltage across the electrode is measured with the help of an ideal voltmetar, and which can be varied by moving jockey `'J'` on the potentiometer wire. The battery used in potentiometer circuit is of 20 V and its internal resistance is `2omega`. The resistance of `100 cm` long potentiometer wire is `8 omega`. The photo current is measured with the help of an ideal ammeter. Two plates of potassium oxide of area `50 cm^(2)` at separation `0.5 mm` are used in the vacuum tube. Photo current in the circuit is very small so we can treat potentiometer circuit an indepdent circuit. The wavelength of various colours is as follows :

`|{:("Light",underset("Violet")(1),underset("Blue")(2),underset("Green")(3),underset("Yellow")(4),underset("Orange")(5),underset("Red")(6)),(lambda "in" Årarr,4000-4500,4500-5000,5000-5500,5500-6000,6000-6500,6500-7000):}|`
The number of electrons appeared on the surface of the cathode plate, when the jockey is connected at the ened `'P'` of the potentiometer wire. Assume that no radiation is falling on the plates.

A

`8.85 xx 10^(6)`

B

`11.0625 xx 10^(9)`

C

`8.85 xx 10^(9)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
`Q=CVimplies n e=(epsi_(0)A)/(d) V`
`n=(2.85xx10^(-12)xx10)/(0.5xx10^(-3)xx1.6xx10^(-19)) xx16`
`n=8.85xx10^(9)`
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