Which of the following is the correct dimension for velocity? (2021)

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Question: Which of the following is the correct dimension for velocity? (2021)

Options:

Correct Answer: M^0L^1T^-1

Exam Year: 2021

Solution:

The dimension of velocity is M^0L^1T^-1.

Which of the following is the correct dimension for velocity? (2021)

Which of the following is the correct dimension for velocity? (2021)

Step 1: Understand that velocity is defined as the rate of change of displacement with respect to time.
Step 2: Recall that displacement has the dimension of length, which is represented as L.
Step 3: Recognize that time has the dimension represented as T.
Step 4: Since velocity is length divided by time, we can express this as L/T.
Step 5: In terms of dimensions, this is written as L^1T^-1 (1 for length and -1 for time).
Step 6: The dimension of mass is represented as M, but velocity does not depend on mass, so we use M^0 (which means mass is not a factor).
Step 7: Combine these to get the final dimension of velocity: M^0L^1T^-1.

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