Solution:
Hint: To determine whether a physical quantity is a scalar or a vector, you need to consider whether it has both magnitude and direction.
Step-by-step Solution:
Scalar quantities:
Volume: Scalar quantity because it only has magnitude (e.g., 1 cubic meter).
Mass: Scalar quantity because it only has magnitude (e.g., 1 kilogram).
Speed: Scalar quantity because it only has magnitude (e.g., 10 meters per second).
Density: Scalar quantity because it only has magnitude (e.g., 1000 kilograms per cubic meter).
Number of moles: Scalar quantity because it only has magnitude (e.g., 1 mole).
Vector quantities:
Velocity: Vector quantity because it has both magnitude and direction (e.g., 10 meters per second to the north).
Acceleration: Vector quantity because it has both magnitude and direction (e.g., 9.8 meters per second squared down).
Angular frequency: Vector quantity because it has both magnitude and direction (e.g., 10 radians per second clockwise).
Displacement: Vector quantity because it has both magnitude and direction (e.g., 10 meters to the north).
Angular velocity: Vector quantity because it has both magnitude and direction (e.g., 10 radians per second clockwise).
Answer:
Scalar quantities: volume, mass, speed, density, number of moles
Vector quantities: velocity, acceleration, angular frequency, displacement, angular velocity
Note: Some physical quantities can be both scalar and vector, depending on how they are measured. For example, temperature is a scalar quantity, but temperature gradient is a vector quantity. Similarly, work is a scalar quantity, but power is a vector quantity.
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