Waves and Sound · UPSC CDS/OTA · Question 18 of 30

Waves and Sound – Question 18

Step-by-step solution. Waves and Sound for UPSC CDS/OTA.

Topic
Waves and Sound
Subject
General Studies
Difficulty
Moderate
Solve Time
45–60 sec

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Q · Waves and SoundModerate · 45s

A tuning fork of frequency 512 Hz resonates with a closed pipe. What is the length of the pipe if the speed of sound is 320 m/s? 189

TopicWaves and Sound
Question Typemultiple choice
DifficultyModerate
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

Closed pipe: L = λ/4 → λ = v/f = 320/512 ≈ 0.625 m → L = 0.625/4 ≈ 0.156 m ≈ 16 cm.

197

Final Answer: Option B — 16 cm 193
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Waves and Sound Question 18 – UPSC CDS/OTA