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PHY 101 PHY 101 Past Questions Objective Question
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Question

A student while doing an experiment finds that the velocity of an object varies with time and it can be expressed as equation: v = Xt² + Yt + Z. If units of v and t are expressed in terms of SI units, determine the units of constants X, Y and Z in the given equation.
Options
A Units of X, Y, Z = m/s³, m/s², m/s
Correct Answer
B Units of X, Y, Z = m/s³, m/s², m/s
C Units of X, Y, Z = s, s, 0
D Units of X, Y, Z = s³, s², s
Correct Answer

Option A is the correct answer.

Detailed Explanation

Since each term must have units of velocity (m/s). For Xt²: [X][t²] = m/s => [X] s² = m/s => [X] = m/s³. For Yt: [Y] s = m/s => [Y] = m/s². For Z: [Z] = m/s. So X: m/s³, Y: m/s², Z: m/s.

Hint

Each term in the equation must have the same dimensions as velocity.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 1117 of 1250
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