A : On increasing the intensity of light , the number of photoelectrons emitted is more . Also the kinetic energy of each photo increases but the photoelectric current is constant R : Photoelectric current is independent of intensity but increases with increasing frequency incident radiation
A
If both Assertion & Reason are ture and the reason is the correct explanation of the assertion , then mark (1) .
B
If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2) .
C
If Assertion is true statement but Reason is false , then mark (3)
D
If both Assertion and Reason are false statements , then mark (4) .
Text Solution
AI Generated Solution
The correct Answer is:
To solve the given assertion and reason question, we need to analyze both the assertion (A) and the reason (R) statements carefully.
### Step-by-Step Solution:
1. **Understanding the Assertion (A)**:
- The assertion states that on increasing the intensity of light, the number of photoelectrons emitted increases, and the kinetic energy of each photoelectron also increases, but the photoelectric current remains constant.
- According to the photoelectric effect, the intensity of light is directly proportional to the number of photons striking the surface per unit time. Therefore, increasing intensity should lead to an increase in the number of emitted photoelectrons, which would increase the photoelectric current. Hence, the assertion that the photoelectric current is constant is incorrect.
2. **Understanding the Reason (R)**:
- The reason states that the photoelectric current is independent of intensity but increases with increasing frequency of the incident radiation.
- The photoelectric current is indeed dependent on the intensity of light because higher intensity means more photons, which can lead to more photoelectrons being emitted. However, the kinetic energy of the emitted photoelectrons is determined by the frequency of the incident light according to the equation:
\[
KE = h\nu - \phi
\]
where \( KE \) is the kinetic energy, \( h \) is Planck's constant, \( \nu \) is the frequency of the incident light, and \( \phi \) is the work function of the metal. Therefore, the reason is also incorrect in stating that the photoelectric current is independent of intensity.
3. **Conclusion**:
- Since both the assertion and the reason are incorrect, we conclude that the correct answer is that both A and R are false.
### Final Answer:
Both the assertion (A) and the reason (R) are false.
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