Physics Practice: Refraction at Plane Surfaces (Mock Test 4 - Expert)
1. Expert Analysis: A monochromatic ray of light is incident at $60^{\circ}$ on a glass slab of thickness $10 \text{ cm}$ and refractive index $\sqrt{3}$. The lateral displacement of the emergent ray is:
2. In an experiment to determine the refractive index of a liquid using a traveling microscope, the real depth was found to be $3.9 \text{ cm}$ and apparent depth $3.0 \text{ cm}$. The refractive index is:
3. Clinical Logic: A person looking at a fish in a pond observes it at a depth of $75 \text{ cm}$. If $\mu_w = 4/3$, the actual distance of the fish from the water surface is:
4. Experimental Setup: A student measures the angle of minimum deviation for an equilateral prism as $40^{\circ}$. The refractive index of the prism material is approx:
5. If the velocity of light in medium A is $2 \times 10^8 \text{ m/s}$ and in medium B is $1.5 \times 10^8 \text{ m/s}$, the refractive index of B w.r.t. A is:
6. A ray of light is incident on a glass slab of refractive index $1.5$. If the angle of incidence is very small, the lateral displacement is approximately ________ of its thickness.
7. When a ray of light is incident at Brewster's angle ($i_p$) on a transparent medium, the angle between reflected and refracted ray is:
8. Data-Based: A glass prism has a refractive index of $1.5$. For which angle of prism will the ray incident at $90^{\circ}$ suffer no deviation inside?
9. For a ray of light passing from a medium of $\mu_1$ to $\mu_2$, the condition for no refraction (no change in direction) is:
10. The refractive index of a material for red light is $1.51$ and for violet is $1.53$. The dispersive power is related to:
11. A ray of light passes through three parallel media of refractive indices $\mu_1, \mu_2, \mu_3$. If the first and last media are the same, the emergent ray is:
12. At minimum deviation, the angle of incidence $i$ for an equilateral prism ($A=60^{\circ}$) is $45^{\circ}$. The value of $\delta_m$ is:
13. Normal shift $S$ is produced by a glass block. If the block is replaced by one of the same thickness but higher refractive index, $S$ will:
14. The cause of refraction is the difference in light ________ in different media.
15. A ray of light incident on a prism surface at $0^{\circ}$ angle of incidence. The angle of refraction at this first surface is:
16. The refractive index of glass w.r.t. water is $9/8$. If speed of light in water is $2.25 \times 10^8 \text{ m/s}$, speed in glass is:
17. Total lateral displacement cannot exceed the ________ of the glass slab.
18. Why does light of shorter wavelength deviate more during refraction?
19. If the refractive index of glass is $1.5$, the ratio of wavelength of light in air to that in glass is:
20. The angle of deviation is minimum when the ray passes ________ through the prism.