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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Sound Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves

A steel tube of length 1.00 m is struck at one end. A person with...

A steel tube of length 1.00 m1.00 \text{ m} is struck at one end. A person with an ear close to the opposite end hears the sound of the blow twice: once travelling through the body of the tube and once through the air inside the tube. Determine the time gap between the two hearings. (Take the speed of sound in air as 340 m/s340 \text{ m/s} and in steel as 5200 m/s5200 \text{ m/s}.)

Options

  1. A3.13 ms3.13 \text{ ms}
  2. B2.75 ms2.75 \text{ ms}
  3. C2.84 ms2.84 \text{ ms}
  4. D2.94 ms2.94 \text{ ms}

Correct answer

B. 2.75 ms2.75 \text{ ms}

Step-by-step solution

Time taken by sound to travel through air is t1=Lva=1340 st_1 = \dfrac{L}{v_a} = \dfrac{1}{340} \text{ s}

Time taken by sound to travel through steel is t2=Lvs=15200 st_2 = \dfrac{L}{v_s} = \dfrac{1}{5200} \text{ s}

The time gap between the two hearings is Δt=t1−t2\Delta t = t_1 - t_2

Δt=1340−15200\Delta t = \dfrac{1}{340} - \dfrac{1}{5200}

Δt=5200−340340×5200\Delta t = \dfrac{5200 - 340}{340 \times 5200}

Δt=48601768000 s\Delta t = \dfrac{4860}{1768000} \text{ s}

Δt≈2.75×10−3 s=2.75 ms\Delta t \approx 2.75 \times 10^{-3} \text{ s} = 2.75 \text{ ms}
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