Final answer:
Speed and velocity (option 'c') are the pair of physical quantities which have the same dimensions as they are both measured in distance per unit of time. They are not identical though, with speed being a scalar quantity and velocity a vector.
Step-by-step explanation:
From the given options, the pair of physical quantities that have the same dimension are speed and velocity (c). Both speed and velocity are measured in units of distance over time, such as meters per second (m/s). For example, if a car travels 20 meters in 5 seconds, both its speed and velocity would be 4 m/s. The pairs of physical quantities that have the same dimensions are (c) speed and velocity. Speed is a scalar quantity that measures how fast an object is moving, while velocity is a vector quantity that includes both speed and direction. Since both speed and velocity have the same unit of measure (meters per second), they have the same dimensions.
The pairs of physical quantities that have the same dimensions are (c) speed and velocity. Speed is a scalar quantity that measures how fast an object is moving, while velocity is a vector quantity that includes both speed and direction. Since both speed and velocity have the same unit of measure (meters per second), they have the same dimensions.
It's important to note that while speed and velocity have the same dimensions, they are not the same thing. Speed is a scalar quantity which only has magnitude (size) and doesn't consider direction, while velocity is a vector quantity, meaning it has both magnitude and direction. For instance, if the car is traveling at 4 m/s to the east, '4 m/s' is its speed while '4 m/s to the east' is its velocity.
Other pairs like speed and displacement (a), distance and velocity (b), and acceleration and velocity (d) do not have the same dimensions. Acceleration is measured in meters per second per second (m/s²), while displacement and distance are both measured in meters (m).
Learn more about Speed and Velocity