Question 7 of 23beginner🔧 ApplyNumerical3 marks

If the frequency of a sound wave produced by an oscillating piston of a long tube filled with air is 20 Hz, then how many oscillations does the piston complete per minute?

Correct Answer

1200

Exercise: Pause and Ponder | Q: 8 | (Page 12)
For More Understanding

Explanation

The textbook defines frequency as the number of density oscillations per unit time, with the formula Frequency = Number of oscillations / Time taken. By rearranging this formula, we get Number of oscillations = Frequency × Time taken. Given the frequency is 20 Hz (which means 20 oscillations per second) and the time is 1 minute (60 seconds), the calculation is 20×6020 \times 60 = 1200.

Solution Steps

  1. Step 1: Given - Frequency = 20 Hz, Time = 1 minute = 60 seconds.

  2. Step 2: Formula - Number of oscillations = Frequency × Time taken.

  3. Step 3: Calculation - Number of oscillations = 20 Hz × 60 s = 1200.

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