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

  1. A
    Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
  2. B
    Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
  3. C
    Statement-1 is false, Statement-2 is true.
  4. D
    Statement-1 is true, Statement-2 is false.

Solution & Step-by-step Explanation

Statement-1: X-rays have a higher frequency than UV light. According to Einstein's equation and . As increases, and increase. (True)Statement-2: The range of speeds (from 0 to ) is due to energy losses of electrons during collisions before they escape the metal surface, not due to a range of frequencies in the light (assuming monochromatic light). (False)

Practice this question

Try it yourself before checking the explanation above.

Statement-1: When ultraviolet light is incident on a photocell, its stopping potential is and the maximum kinetic energy of the photoelectrons is . When the ultraviolet light is replaced by X-rays, both and 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.
A
Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
B
Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1.
C
Statement-1 is false, Statement-2 is true.
D
Statement-1 is true, Statement-2 is false.

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