Which of the following pairs of physical quantities have the same dimensions? (a) speed and displacement (b) distance and velocity (c) speed and velocity (d) acceleration and velocity
Answers
Explanation:
c option is correct, speed and velocity.
Answer
The corrrect answer is option (c) Speed and Velocity
Explanation:
Speed and velocity have the same dimension as both of them tell us the speed of the object, velocity is a vector quantity with the direction in which the object is moving.
Speed is the distance covered by an object at a certain time. It has a dimensional formula as [LT⁻¹]. Hence having dimensions of length and time inverse.
velocity is a change in distance with time and thus it has the same dimensional formula as speed [LT⁻¹] with direction.
displacement has the dimensional formula [L].
acceleration is a change in velocity with time so the Dimensional formula for acceleration is [ LT⁻²].
Hence velocity and speed have the same dimension.