Question:
A ray of light travels from air to water to glass and again from glass to air. Refractive index of water with respect to air is \( x \), glass with respect to water is \( y \) and air with respect to glass is \( z \). Which one of the following is correct?
A ray of light travels from air to water to glass and again from glass to air. Refractive index of water with respect to air is \( x \), glass with respect to water is \( y \) and air with respect to glass is \( z \). Which one of the following is correct?
Show Hint
Product of refractive indices around a closed path is always equal to 1.
Updated On: Jan 26, 2026
- \( xz = y \)
- \( yz = x \)
- \( xyz = 1 \)
- \( xy = z \)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Use definition of refractive index.
Refractive index of medium A with respect to medium B is given by \[ n_{AB} = \frac{n_A}{n_B} \]
Step 2: Write given refractive indices.
\[ x = \frac{n_w}{n_a}, \quad y = \frac{n_g}{n_w}, \quad z = \frac{n_a}{n_g} \]
Step 3: Multiply all three.
\[ xyz = \frac{n_w}{n_a} \cdot \frac{n_g}{n_w} \cdot \frac{n_a}{n_g} = 1 \]
Step 4: Conclusion.
The correct relation is \( xyz = 1 \).
Refractive index of medium A with respect to medium B is given by \[ n_{AB} = \frac{n_A}{n_B} \]
Step 2: Write given refractive indices.
\[ x = \frac{n_w}{n_a}, \quad y = \frac{n_g}{n_w}, \quad z = \frac{n_a}{n_g} \]
Step 3: Multiply all three.
\[ xyz = \frac{n_w}{n_a} \cdot \frac{n_g}{n_w} \cdot \frac{n_a}{n_g} = 1 \]
Step 4: Conclusion.
The correct relation is \( xyz = 1 \).
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Ray optics and optical instruments Questions
- When light wave suffers reflection at the interface between air and glass, the change of phase of reflected wave is equal to
- The angle made by incident ray of light with the reflecting surface is called
- If angle of incidence is twice the angle of refraction in a medium of refractive index $ \mu $ , then angle of incidence is
- A ray of light is incident normally on a glass slab of thickness $5\, cm$ and refractive index 1.6. The time taken to travel by a ray from source to surface of slab is same as to travel through glass slab. The distance of source from the surface is
To a bird in air, a fish in water appears to be at 30 cm from the surface. If refractive index of water with respect to air is \(\frac {4}{3}\) ,the real distance of bird from the surface is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions