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

The power rule for combining uncertainties states that if a quantity y is given by y = xⁿ, then the fractional uncertainty in y (Δy/y) is related to the fractional uncertainty in x (Δx/x) by
Options
A Δy/y = n (Δx/x)
Correct Answer
B Δy/y = (Δx/x)ⁿ
C Δy/y = √[n (Δx/x)]
D Δy/y = Δx/x
Correct Answer

Option A is the correct answer.

Detailed Explanation

The power rule is an extension of the product rule. It states that if y = xⁿ, then the fractional uncertainty in y is n times the fractional uncertainty in x. For example, if y = x³, Δy/y = 3(Δx/x).

Hint

This rule is used for quantities raised to a power, such as area (L²) or volume (L³).

Question Info

Course: PHY 101
Topic: Physical Quantities, Units, and Dimensions
Type: Objective
Difficulty: Not specified
Question 686 of 1250
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