A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure).
Question:
A prism of refractive index $n_{1}$ and another prism of refractive index $\mathrm{n}_{2}$ are stuck together (as shown in the figure). $\mathrm{n}_{1}$ and $\mathrm{n}_{2}$ depend on $\lambda$, the wavelength of light, according to the relation
$\mathrm{n}_{1}=1.2+\frac{10.8 \times 10^{-14}}{\lambda^{2}}$ and $\mathrm{n}_{2}=1.45+\frac{1.8 \times 10^{-14}}{\lambda^{2}}$
The wavelength for which rays incident at any angle on the interface BC pass through without bending at that interface will be _________ nm.
Solution:
For no bending, $\mathrm{n}_{1}=\mathrm{n}_{2}$
$1.2+\frac{10.8 \times 10^{-14}}{\lambda^{2}}=1.45+\frac{1.8 \times 10^{-4}}{\lambda^{2}}$
On solving,
$9 \times 10^{-14}=25 \lambda^{2}$
$\lambda=6 \times 10^{-7}$
$\lambda=600 \mathrm{~nm}$
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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,
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