Which of the following represents the unit for gravitational intensity ?

Options

A. N
B. `kgm^(-2)`
C. `Nkg^(-1)`
D. `ms^(-3)`

Explanation

To determine the unit for gravitational intensity, we can follow these steps:

### Step 1: Understand Gravitational Intensity
Gravitational intensity (often denoted as \( g \)) is defined as the force experienced by a unit mass placed at a point in a gravitational field.

### Step 2: Write the Formula
The relationship can be expressed mathematically as:
\[ g = \frac{F}{m} \]
where:
- \( g \) is the gravitational intensity,
- \( F \) is the gravitational force acting on the mass,
- \( m \) is the mass (which is considered as 1 kg for unit mass).

### Step 3: Identify Units of Force and Mass
- The unit of force (\( F \)) is Newton (N).
- The unit of mass (\( m \)) is kilogram (kg).

### Step 4: Substitute Units into the Formula
Substituting the units into the formula gives:
\[ g = \frac{\text{N}}{\text{kg}} \]

### Step 5: Finalize the Unit for Gravitational Intensity
Thus, the unit for gravitational intensity can be expressed as:
\[ \text{Gravitational Intensity} = \text{Newton} \cdot \text{kilogram}^{-1} = \text{N/kg} \]

### Conclusion
The correct representation of the unit for gravitational intensity is \( \text{N/kg} \).

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