A mild steel plate has a thickness of 20 mm. An ultrasonic pulse travels in it with a velocity of 18000 kmph. The echo time of the pulse will be 

  1. 6 μs
  2. 8 μs
  3. 3 μs
  4. 4 μs

Answer (Detailed Solution Below)

Option 2 : 8 μs
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Detailed Solution

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Concept:

When the ultrasonic waves are sent through a specimen, they travel throughout and then reflect back and will travel the complete depth again.

The time difference between the pulse sent and the pulse received is known as echo time.

It is related to the velocity of waves and thickness of specimen as follows,

\(t = \frac{{2l}}{v}\)

Where t – echo time, l – thickness of the specimen, v – velocity of ultrasonic waves

Calculation:

Given l = 20 mm = 0.02 m; v = 18000 kmph = 18000 × 5/18 m/s

⇒ v = 5000 m/s;

Now the echo time will be

\(t = \frac{{2\; \times\; 0.02}}{{5000}} = 8 \times {10^{ - 6}}\;s\)

⇒ t = 8 μs;

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