Question 16 of 23intermediate🔧 ApplyNumerical3 marks

A source produces a sound wave of wavelength 3.44 m. If the wave travels with a speed of 344 m s⁻¹ find its time period.

Correct Answer

0.01 s

Exercise: Revise, Reflect, Refine | Q: 9 | (Page 22)
For More Understanding

Explanation

To find the time period, we first need to calculate the frequency of the sound wave using the given speed and wavelength. Once the frequency is found, the time period is simply the reciprocal of the frequency, as demonstrated in Example 10.4 of the textbook.

Solution Steps

  1. Given values: Speed of sound (v) = 344 m s⁻¹, Wavelength (λ) = 3.44 m

  2. Step 1: Calculate the frequency (ν) of the wave using the formula ν = v / λ. ν = 344 m s⁻¹ / 3.44 m = 100 Hz

  3. Step 2: Calculate the time period (T) using the formula T = 1 / ν. T = 1 / 100 Hz = 0.01 s

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