JEE Mains · Physics · STD 12 - 9. Ray optics and optical instruments

Given below are two statements : Statement \(I\) : When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement \(II\) : The refractive indices are different for different wavelengths in dispersive medium.
In the light of the above statements, choose the correct answer from the options given below :

A Both Statement \(I\) and Statement \(II\) are true.
B Statement \(I\) is true but Statement \(II\) is false.
C Both Statement \(I\) and Statement \(II\) are false.
D Statement \(I\) is false but Statement \(II\) is true.

Verified Solution

Answer & Solution

Correct Answer

(A) Both Statement \(I\) and Statement \(II\) are true.

Step-by-step Solution

Detailed explanation

As \(\lambda_{\text {red }}>\lambda_{\text {yellow }}>\lambda_{\text {violet }}\) Light ray with longer wavelength bends less.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From JEE Mains

Match List \(I\) with List \(II\) of Electromagnetic waves with corresponding wavelength range :

List \(I\)	List \(II\)
\((A)\) Microwave	\((I)\) \(400\,nm\) to \(1\,nm\)
\((B)\) Ultraviolet	\((II)\) \(1\,nm\) to \(10^{-3}\,nm\)
\((C)\) \(X-\)Ray	\((III)\) \(1\,mn\) to \(700\,nm\)
\((D)\) Infra-red	\((IV)\) \(0.1\,m\) to \(1\,mm\)

Choose the correct answer from the options given below:

JEE Mains 2023 Medium

Explore more questions on app