Match the following:
`{:("Physical quantity","Unit"),("a) Magnetic moment","e) Amp-m"),("b) Magnetic flux density","f)Amp/m"),("c) Intensity of magnetic field","g)"N-m^(3)//wb),("d) Pole strength","h) Gauss"):}`

Options

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

Answer

To solve the matching problem, we need to correctly pair each physical quantity with its corresponding unit. Let's go through each option step by step.

### Step-by-Step Solution:

1. **Magnetic Moment:**
- The magnetic moment (M) is defined as the product of the current (I) and the area (A) through which the current flows.
- The formula is \( M = I \times A \).
- The unit of magnetic moment is Newton meter per Weber (N·m/Wb), which can also be expressed as Ampere meter squared (A·m²).
- From the options given, this matches with **(g) N·m³/Wb**.

2. **Magnetic Flux Density:**
- Magnetic flux density (B) is defined as the magnetic flux (Φ) per unit area (A).
- The unit of magnetic flux density is Weber per square meter (Wb/m²), which is equivalent to Tesla (T).
- In the options provided, this corresponds to **(h) Gauss** (since 1 Tesla = 10,000 Gauss).

3. **Intensity of Magnetic Field:**
- The intensity of the magnetic field (H) is defined as the magnetic field strength.
- The unit of intensity of the magnetic field is Ampere per meter (A/m).
- From the options, this matches with **(f) Amp/m**.

4. **Pole Strength:**
- Pole strength (p) is a measure of the strength of a magnetic pole.
- The unit of pole strength is Ampere meter (A·m).
- This matches with **(e) Amp-m**.

### Final Matching:
- a) Magnetic moment → g) N·m³/Wb
- b) Magnetic flux density → h) Gauss
- c) Intensity of magnetic field → f) Amp/m
- d) Pole strength → e) Amp-m

### Summary of Matches:
- a) → g)
- b) → h)
- c) → f)
- d) → e)