Question 351 markMCQSection B

While tracing the path of a ray of light passing through a rectangular glass slab a student tabulated his observations as given below :


S. No.∠i∠r∠e
I60°40°61°
II50°36°51°
III40°28°39°
IV30°20°31°

The correct observation is :

Light — Reflection and Refraction
Refraction through a Glass Slab

Options

(A)I
(B)II
(C)III
(D)IV

Official answer

The correct observation is IV (Option D).

Answer keywords:Snell's Lawrefractive indexglass slabangle of incidenceangle of refraction

Marking scheme

  1. 1.1 mark for identifying observation IV as correct and showing the Snell's law calculation (Option D).

Hint

Calculate the refractive index using Snell's Law (n=sin⁡isin⁡rn = \frac{\sin i}{\sin r}) and find which observation gives a value closest to the refractive index of glass (n≈1.5n \approx 1.5).

Quick oral answer

According to Snell's law, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant for a given pair of media.

Common mistakes

  1. 1.Students often only check if ∠i≈∠e\angle i \approx \angle e and get confused because all four options satisfy this condition. They fail to verify Snell's Law (sin⁡isin⁡r≈1.5\frac{\sin i}{\sin r} \approx 1.5).

Analysis and explanation

In a glass slab experiment, two conditions must be satisfied:

  1. The angle of emergence (∠e\angle e) should be approximately equal to the angle of incidence (∠i\angle i) due to the parallel faces of the slab. In all four observations, ∠e≈∠i\angle e \approx \angle i (differing by only 1∘1^\circ, which is within experimental error limits).
  2. The ratio of the sine of the angle of incidence to the sine of the angle of refraction (sin⁡isin⁡r\frac{\sin i}{\sin r}) must equal the refractive index of glass (n≈1.5n \approx 1.5).
  • For observation IV, sin⁡30∘sin⁡20∘≈1.46\frac{\sin 30^\circ}{\sin 20^\circ} \approx 1.46, which is closest to 1.51.5.
  • For other observations, the ratio is significantly lower (1.301.30 to 1.371.37), which deviates too much from the standard refractive index of glass.
  • Therefore, observation IV is the correct one.

Interesting facts

The refractive index of ordinary glass is about 1.51.5, which means light travels 1.51.5 times slower in glass than in a vacuum!

Question details

Q35 of 41 questions

Board
CBSE
Class
Class 10
Subject
Science
Year
2012
Section
Section B
Marks
1
Type
MCQ
Chapter
Light — Reflection and Refraction
Topic
Refraction through a Glass Slab
Bloom's level
Analyzing
Syllabus topic
Refraction of light through a rectangular glass slab

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Frequently asked questions

How many marks does this question carry in CBSE Class 10 Science 2012?

This question carries 1 mark in the CBSE Class 10 Science 2012 examination.

Which chapter does this question come from in Science?

This question is from the chapter "Light — Reflection and Refraction" in the CBSE Class 10 Science syllabus.

What topic does this question cover in Science?

This question covers the topic "Refraction through a Glass Slab" from CBSE Class 10 Science.

What type of question is this in the CBSE Class 10 Science 2012 paper?

This is a MCQ question from Section B in the CBSE Class 10 Science 2012 paper.