Question

The graph between and stopping potential (V) of three metals having work functions and in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statement(s)  correct? [Here is the wavelength of the incident ray].

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This question has multiple correct options
A

Ratio of work functions : : : 2 : 4

B

Ratio of work functions : : : 2 : 1

C

is directly proportional to , where is Planck's constant and is the speed of light.

D

The violet colour light can eject photoelectrons from metals 2 and 3.

Hard
JEE Advanced

Solution

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Correct option is
A

Ratio of work functions : : : 2 : 4

C

is directly proportional to , where is Planck's constant and is the speed of light.

From photo electric effect,  where stopping potential and work function. 
Slope ,   (compare above equation with )

If

Now from given graph,

for metal 1 :

for metal 2: 

for metal 3: 

Thus,

Also,  where be the threshold wavelength. 

For metal 2 :
For metal 3 :
As the wavelength of violet colour is around 400 nm so only metal 2 can eject violet colour light but not metal 3. 
Thus, options A and C is right.

Solve any question of Dual Nature of Radiation And Matter with:-

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