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Assertion: we can increases the saturati...

Assertion: we can increases the saturation current in photoelectric experiment without increasing the intensity of light.
Reason: Instensity can be increased by increasing the frequency of incident photons.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason or true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

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The correct Answer is:
To solve the question regarding the assertion and reason related to the photoelectric experiment, we will analyze both statements step by step. ### Step 1: Understand the Assertion The assertion states: "We can increase the saturation current in a photoelectric experiment without increasing the intensity of light." **Explanation:** - The saturation current in a photoelectric experiment is directly proportional to the number of photoelectrons emitted, which in turn is proportional to the number of incident photons. - The intensity of light is defined as the energy per unit area per unit time, which can be expressed as: \[ I = \frac{E}{A \cdot t} = n \cdot h \cdot \nu \] where \(I\) is intensity, \(n\) is the number of photons, \(h\) is Planck's constant, and \(\nu\) is the frequency of the incident light. ### Step 2: Analyze the Relationship Between Saturation Current and Intensity - The saturation current \(I_s\) is proportional to the number of emitted photoelectrons, which is proportional to the number of incident photons \(n\). - If we keep the intensity constant and change the frequency, we can see that: \[ I = n \cdot h \cdot \nu \] If we decrease the frequency \(\nu\) while keeping intensity constant, the number of photons \(n\) must increase to maintain the equality. ### Step 3: Conclusion on the Assertion - Thus, it is indeed possible to increase the saturation current by increasing the number of photons (by decreasing frequency) while keeping the intensity constant. - Therefore, the assertion is **true**. ### Step 4: Understand the Reason The reason states: "Intensity can be increased by increasing the frequency of incident photons." **Explanation:** - The intensity of light is given by the same equation: \[ I = n \cdot h \cdot \nu \] - If we increase the frequency \(\nu\) while keeping the number of photons \(n\) constant, the intensity \(I\) will increase. - Thus, the reason is also **true**. ### Step 5: Conclusion on the Reason - However, the reason does not correctly explain the assertion. The assertion is about increasing saturation current without increasing intensity, while the reason suggests that increasing frequency increases intensity. ### Final Conclusion - Both the assertion and the reason are true, but the reason is not the correct explanation for the assertion. Therefore, the correct answer is option B: "Both assertion and reason are true, but reason is not the correct explanation of the assertion." ---

To solve the question regarding the assertion and reason related to the photoelectric experiment, we will analyze both statements step by step. ### Step 1: Understand the Assertion The assertion states: "We can increase the saturation current in a photoelectric experiment without increasing the intensity of light." **Explanation:** - The saturation current in a photoelectric experiment is directly proportional to the number of photoelectrons emitted, which in turn is proportional to the number of incident photons. - The intensity of light is defined as the energy per unit area per unit time, which can be expressed as: ...
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