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  • I need help with - Dual Nature of Matter and Radiation - JEE Main

Question contain Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that best describes the two statements.

Statement-1 : When ultraviolet light is incident on a photocell, its stopping potential is V_{0} and the maximum kinetic energy of the photoelectrons is K_{max}. When the ultraviolet light is replaced by X-rays, both V_{0} and K_{max} increase.

Statement-2 :  Photoelectrons are emitted with speeds ranging from zero to a maximum value because of the range of frequencies present in the incident light.

 

Option 1)

Statement-1 is true, Statement-2 is false.

 Option 2)

Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
Option 3)

Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.

 Option 4)

Statement-1 is false, Statement-2 is true.

Answers (1)

best_answer

As we learnt in

Conservation of energy -

h\nu = \phi _{0}+\frac{1}{2}mv^{2}_{max}

h\nu = h\nu _{0}+\frac{1}{2}mv^{2}_{max}

 

h\left ( \nu-\nu _{0} \right )=\frac{1}{2}mv^{2}_{max}

where, h - Plank's constant\ \nu - Frequency\ \nu_{0} - threshold\ frequency\ \phi_{0}- work function

- wherein

 

 From Einstein's photoelectric equation

eV_{0}=h{\nu}-{\phi}                                (1)

Also  eV_{0}=K_{max}                            (2)

When we increase energy of photon (i.e. moving from ultraviolet to X-ray)

V0 increases andhence Kmax also increases.

So Statement (1) is correct.

Statement (2) is wrong as speed of electron varies because of its collision inside the metal before its emission. 

Correct answer is 1.


Option 1)

Statement-1 is true, Statement-2 is false.

This is the correct option.

Option 2)

Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

This is an incorrect option.

Option 3)

Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.

This is an incorrect option.

Option 4)

Statement-1 is false, Statement-2 is true.

This is an incorrect option.

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