Classify the following measures as scalar and vector quantities :
(i) `40^(@)`
(ii) 50 watt
(iii) `10 gm//cm^(3)`
(iv) 20 m/sec towards north
(v) 5 seconds.

Answer

To classify the given measures as scalar and vector quantities, we need to understand the definitions of scalar and vector quantities:

- **Scalar Quantity**: A quantity that has only magnitude and no direction. Examples include mass, temperature, speed, and time.
- **Vector Quantity**: A quantity that has both magnitude and direction. Examples include velocity, force, and displacement.

Now, let's classify each of the given measures:

1. **40°**:
- This represents an angle. Angles are measured in degrees and do not have a direction associated with them.
- **Classification**: Scalar Quantity.

2. **50 watt**:
- Watt is a unit of power. Power is a measure of the rate at which work is done or energy is transferred, and it does not have a direction.
- **Classification**: Scalar Quantity.

3. **10 gm/cm³**:
- This is a measure of density, which is mass per unit volume. Density does not have a direction associated with it.
- **Classification**: Scalar Quantity.

4. **20 m/sec towards north**:
- This represents velocity, which is speed with a specified direction (towards north). Since it includes both magnitude (20 m/sec) and direction (towards north), it is classified as a vector quantity.
- **Classification**: Vector Quantity.

5. **5 seconds**:
- This is a measure of time. Time is a scalar quantity as it does not have a direction associated with it.
- **Classification**: Scalar Quantity.

### Summary of Classifications:
- (i) 40°: Scalar Quantity
- (ii) 50 watt: Scalar Quantity
- (iii) 10 gm/cm³: Scalar Quantity
- (iv) 20 m/sec towards north: Vector Quantity
- (v) 5 seconds: Scalar Quantity