NEET · Physics —

Ray Optics and Optical Instruments appeared 2 times across 1 year — 4.4% of Physics. This question is from Refraction Through a Prism.

Year 2024 Total
Questions 2 2

A ray of monochromatic light is passing through an equilateral prism (ABC) as shown in the figure. The refracted ray (QR) is parallel to its base (BC) and the angle of incidence (i) is 50°. Then the angle of deviation (δ) is:
Equilateral prism showing refraction parallel to the base Q23
Equilateral prism ABC with ray refracting parallel to the base BC.

Solution & Explanation

Related Formula
i + e = A + δ At minimum deviation: i = e and δ = δm
Core Logic

For a ray refracting through a prism, if the internal refracted ray is parallel to the base of an isosceles or equilateral prism, the prism is in the position of minimum deviation. Therefore, the angle of emergence (e) equals the angle of incidence (i). Given: Angle of incidence i = 50° Equilateral prism angle A = 60° Thus, e = 50°

Step 1: Calculate Angle of Deviation

Using the prism formula:

i + e = A + δ 50° + 50° = 60° + δ 100° - 60° = δ δ = 40°
Pattern Recognition

"Ray parallel to base" is the secret trigger word for the minimum deviation condition (i=e).

Chapter Mix

Class 12 Physics: Ray Optics and Optical Instruments

Detailed geometry of refraction through the prism showing minimum deviation Q23
Equilateral prism ABC with ray refracting parallel to the base BC.

Reference Study Guides

More Ray Optics and Optical Instruments Previous-Year Questions

Q19 neet_2026_03_may_morning Refraction at Spherical Surfaces and by Lenses
In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens after refraction:
  • A. emerges parallel to the principal axis.
  • B. appears to diverge from the first principal focus.
  • C. passes through 2F, which is the radius of curvature of the lens.
  • D. passes through the second principal focus.

Solution

Core Logic

According to the rules of refraction for a concave (diverging) lens, an incident ray parallel to the principal axis diverges outward after passing through the lens. When this diverging refracted ray is extended backwards, it appears to originate exactly from the principal focus located on the same side as the incident ray.

Ray diagram showing divergence from principal focus in a concave lens Q19
Ray diagram showing divergence from principal focus in a concave lens Q19

Step 1: Clarification of Focus Terminology

The focus from which parallel rays appear to diverge is typically termed the second principal focus (F₂). However, many textbooks ambiguously refer to it as the principal focus. The option "appears to diverge from the first principal focus" is selected as the best appropriate answer from the given choices, though technically it's the second principal focus for a concave lens.

Pattern Recognition

Parallel rays on a concave lens always diverge. Backward tracing intersects the focal point on the incidence side.

Chapter Mix

Class 12 Physics: Ray Optics and Optical Instruments

More Ray Optics and Optical Instruments Questions — neet_2026_03_may_morning

Practice all Ray Optics and Optical Instruments previous-year questions →

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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)