Question Detail

PHY 101 Physical Quantities, Units, and Dimensions Objective Question
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Question

Which of the following equations is dimensionally consistent?
Options
A s = ut + ½at²
Correct Answer
B v² = u² + 2a
C F = mv
D F = mv²
Correct Answer

Option A is the correct answer.

Detailed Explanation

For dimensional consistency, every term in an equation must have the same dimensions. In s = ut + ½at², [s] = L. [ut] = (LT⁻¹)×T = L. [½at²] = (LT⁻²)×T² = L. All terms are L, so it is dimensionally consistent. The other options are dimensionally inconsistent.

Hint

Check the dimensions of each term in the equation. All terms on both sides must match.

Question Info

Course: PHY 101
Topic: Physical Quantities, Units, and Dimensions
Type: Objective
Difficulty: Not specified
Question 678 of 1250
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