Q1 · hard · AI-verified
The refractive index of glass with respect to water is 9/8. If the refractive index of glass with respect to air is 1.5, what is the refractive index of water with respect to air?
- 1.125
- 1.333
- 0.750
- 1.688
Q2 · hard · AI-verified
A light ray passes from glass (refractive index 1.5) into water (refractive index 1.33). If the angle of incidence in glass is 45°, what happens at the interface? (sin 45° ≈ 0.707; 0.707 × 1.5/1.33 ≈ 0.798)
- The ray undergoes total internal reflection back into glass
- The ray refracts into water, bending towards the normal with angle of refraction ≈ 28°
- The ray passes straight through without bending, as both are dense media
- The ray refracts into water, bending away from the normal with angle of refraction ≈ 53°
Q3 · hard · AI-verified
An object 4 cm tall is placed at 30 cm from a convex lens of focal length 20 cm. What is the height of the image formed?
- 4 cm
- 8 cm
- 12 cm
- 6 cm
Q4 · hard · AI-verified
A concave lens of focal length 25 cm forms an image at a distance of 20 cm from the lens. Where is the object placed?
- 500 cm from the lens
- 45 cm from the lens
- 100 cm from the lens
- 50 cm from the lens
Q5 · hard · AI-verified
A ray of light passes from medium A (refractive index 1.5) into medium B (refractive index 1.2). If the angle of incidence in medium A is 30°, what is the angle of refraction in medium B? (Use sin 30° = 0.5; sin 38.7° ≈ 0.625; sin 41.8° ≈ 0.667; sin 45° ≈ 0.707)
- 24°
- 41.8°
- 45°
- 38.7°