`{:("List - I","List - II"),("(a) Planets revolving around the sun","(e) SHM"),("(b) Vibrations of a tuning fork","(f) linear motion"),("(c) Motion of projectile","(g) periodic motion"),("(d) Motion of a freely falling body","(h) translatory motion"):}`

Options

A. a - g, b - e, c - h, d - f
B. a - h, b - f, c - g, d - e
C. a - e, b - g, c - f, d - h
D. a - f, b - h, c - e, d - g

Answer

To solve the matching question between List - I and List - II, we will analyze each item in List - I and find the corresponding term in List - II.

### Step-by-Step Solution:

1. **Analyze (a) Planets revolving around the sun:**
- The motion of planets around the sun is periodic as they follow elliptical orbits and return to the same position after a fixed time.
- **Match:** (a) → (g) Periodic motion.

2. **Analyze (b) Vibrations of a tuning fork:**
- A tuning fork vibrates back and forth in a periodic manner, which is characteristic of Simple Harmonic Motion (SHM).
- **Match:** (b) → (e) SHM.

3. **Analyze (c) Motion of projectile:**
- The motion of a projectile is a combination of horizontal and vertical motion, which is translatory motion. It does not follow a simple harmonic path.
- **Match:** (c) → (h) Translatory motion.

4. **Analyze (d) Motion of a freely falling body:**
- A freely falling body moves straight down under the influence of gravity, which is linear motion.
- **Match:** (d) → (f) Linear motion.

### Final Matches:
- (a) → (g) Periodic motion
- (b) → (e) SHM
- (c) → (h) Translatory motion
- (d) → (f) Linear motion

### Summary of Matches:
- (a) Planets revolving around the sun → (g) Periodic motion
- (b) Vibrations of a tuning fork → (e) SHM
- (c) Motion of projectile → (h) Translatory motion
- (d) Motion of a freely falling body → (f) Linear motion

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