Curved surfaces of a plano-convex lens of refractive index $\mu_{1}$ and a plano-concave lens of refractive index $\mu_{2}$ have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.
$\frac{1}{\mu_{2}-\mu_{1}}$
$\mu_{1}-\mu_{2}$
$\frac{1}{\mu_{1}-\mu_{2}}$
$\mu_{2}-\mu_{1}$
Correct Option: , 2
$\frac{1}{f_{1}}=\left(\mu_{1}-1\right)\left(\frac{1}{R}\right)$
$\frac{1}{f_{2}}=\left(\mu_{2}-1\right)\left(-\frac{1}{R}\right)$
$\frac{1}{\mathrm{f}_{1}}+\frac{1}{\mathrm{f}_{2}}=\frac{1}{\mathrm{f}_{\mathrm{cq}}}=\frac{\left(\mu_{1}-1\right)-\left(\mu_{2}-1\right)}{\mathrm{R}}$
$\frac{1}{\mathrm{f}_{\mathrm{eq}}}=\frac{\left(\mu_{1}-\mu_{2}\right)}{\mathrm{R}}$
$\frac{\mathrm{R}}{\mathrm{f}_{\mathrm{eq}}}=\left(\mu_{1}-\mu_{2}\right)$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,