NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Wave Optics
NEET · Physics · Wave Optics
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): When the entire Young's double slit experiment apparatus is immersed in water, the angular fringe width decreases.
Reason (R): The wavelength of light decreases when it enters a denser medium, and angular fringe width is directly proportional to the wavelength.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): When the entire Young's double slit experiment apparatus is immersed in water, the angular fringe width decreases.
Reason (R): The wavelength of light decreases when it enters a denser medium, and angular fringe width is directly proportional to the wavelength.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
- BBoth Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
- CAssertion is correct but Reason is incorrect.
- DAssertion is incorrect but Reason is correct.
Correct answer
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
Step-by-step solution
The angular fringe width in Young's double slit experiment is given by , where is the wavelength of light and is the distance between the slits.
When the apparatus is immersed in water (a denser medium), the wavelength of light decreases to , where is the refractive index of water.
Since the angular fringe width is directly proportional to the wavelength (), a decrease in wavelength results in a decrease in the angular fringe width. Therefore, the Assertion is correct.
The Reason correctly states that wavelength decreases in a denser medium and that angular fringe width is directly proportional to wavelength. Thus, the Reason is correct and provides the exact explanation for the Assertion.
Answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
When the apparatus is immersed in water (a denser medium), the wavelength of light decreases to , where is the refractive index of water.
Since the angular fringe width is directly proportional to the wavelength (), a decrease in wavelength results in a decrease in the angular fringe width. Therefore, the Assertion is correct.
The Reason correctly states that wavelength decreases in a denser medium and that angular fringe width is directly proportional to wavelength. Thus, the Reason is correct and provides the exact explanation for the Assertion.
Answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.