Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Ray Optics

BITSAT 2017 · Physics · Ray Optics

The focal length of a thin convex lens for red and blue rays are...

The focal length of a thin convex lens for red and blue rays are 100100 cm and 96.8cm96. 8cm respectively. Then, the dispersive power of the material of the lens is

Options

  1. A0.9680. 968
  2. B0.980. 98
  3. C0.03250. 0325
  4. D0.3250. 325

Correct answer

C. 0.03250. 0325

Step-by-step solution

Dispersive power is ratio of angular dispersion and mean deviation.

It can be written in terms of focal length as,

ω=fr−fbfy\omega = \dfrac{{f}_{r} - {f}_{b}}{fy}

Here fr=100cm{f}_{r} = 100cm

fb=96.8cm{f}_{b} = 96. 8cm

fy=fb×fr{f}_{y} = \sqrt{{f}_{b} \times {f}_{r}}

=96.8×100= \sqrt{96. 8 \times 100}

≈98.34cm\approx 98. 34cm

∴∴ Dispersive power

ω=fr−fbfy\omega = \dfrac{{f}_{r} - {f}_{b}}{fy}

=100−96.898.34= \dfrac{100 - 96. 8}{98. 34}

≈0.0325\approx 0. 0325
Hence, the dispersive power of the material of the lens is 0.03250. 0325.

Practice Ray Optics on Quantrex Academy →

More from Ray Optics

Power of biconvex lens is P diopter. When it is cut into two symmetrical halves by a… BITSAT 2024The magnifying power of a telescope is 9. When it is adjusted for parallel rays, the… BITSAT 2024In normal adjustment, for a refracting telescope, the distance between objective and eye… BITSAT 2024If the distance between object and its two times magnified virtual image produced by a… BITSAT 2024A thin prism P_1 with an angle 6^ ^ ∘ and made of glass of refractive index 1.54 is… BITSAT 2023In a reflecting telescope, a secondary mirror is used to: BITSAT 2023A mosquito O is sitting infront of a glass rod having spherical end of radius of… BITSAT 2022An achromatic convergent doublet of two lense in contact has a power of +5 D . The power… BITSAT 2022 Full Ray Optics list All BITSAT PYQs