Neco Model Questions Vol1 2019 Physics Question 38

Practice objective / multiple choice question 38 from the 2019 Neco Model Questions Vol1 Physics examination.

Neco Model Questions Vol1 2019 Physics Objective / Multiple Choice Medium Difficulty
Question 38 NECO_MODEL_QUESTIONS_VOL1 • 2019 • PHYSICS • objective

A string 1.2 m long is fixed at both ends. Its linear mass density varies linearly from \(0.5\ \text{g m}^{-1}\) at one end to \(1.5\ \text{g m}^{-1}\) at the other end. The string is under a uniform tension of 80 N and vibrates in its fundamental mode with an observed frequency of 120 Hz. Calculate the average linear mass density of the string and the theoretical fundamental frequency. State whether the observed frequency is consistent with the theoretical value within a 5 % tolerance.

Answer Options

Correct Answer A. Average density = 1.0 g m⁻¹; theoretical frequency ≈ 118 Hz; consistent (Yes)
B. Average density = 1.0 g m⁻¹; theoretical frequency ≈ 124 Hz; consistent (No)
C. Average density = 0.9 g m⁻¹; theoretical frequency ≈ 115 Hz; consistent (Yes)
D. Average density = 1.1 g m⁻¹; theoretical frequency ≈ 122 Hz; consistent (No)
Correct Answer
A
Correct Option:
Average density = 1.0 g m⁻¹; theoretical frequency ≈ 118 Hz; consistent (Yes)

About This Question

This is Neco Model Questions Vol1 2019 Physics Question 38. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Physics examination.

Difficulty level: Medium .

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