Question:
For a prism of angle \(5^\circ\), the angle of minimum deviation \((\delta)\) varies with refractive index \((\mu)\) as shown in the graph. The slope of the graph is:
center
For a prism of angle \(5^\circ\), the angle of minimum deviation \((\delta)\) varies with refractive index \((\mu)\) as shown in the graph. The slope of the graph is:
center
Show Hint
For a thin prism:
\[
\delta=(\mu-1)A
\]
Therefore graph between \(\delta\) and \(\mu\) is always a straight line with slope equal to prism angle.
Updated On: Jun 17, 2026
- \(5^\circ\)
- \(5\,\text{rad}\)
- \(0.5^\circ\)
- \(0.5\,\text{rad}\)
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The Correct Option is A
Solution and Explanation
Concept:
For a thin prism:
\[
\delta = (\mu-1)A
\]
where:
• \(\delta\) = angle of minimum deviation,
• \(\mu\) = refractive index,
• \(A\) = prism angle.
Step 1: Determine slope of graph. Comparing with: \[ y=mx+c \] Here: \[ \delta = A\mu - A \] Hence slope: \[ m=A \] Given: \[ A=5^\circ \] Therefore: \[ \boxed{5^\circ} \]
• \(\delta\) = angle of minimum deviation,
• \(\mu\) = refractive index,
• \(A\) = prism angle.
Step 1: Determine slope of graph. Comparing with: \[ y=mx+c \] Here: \[ \delta = A\mu - A \] Hence slope: \[ m=A \] Given: \[ A=5^\circ \] Therefore: \[ \boxed{5^\circ} \]
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