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Answer :
Sure, let's solve the problem step-by-step:
1. Understand the given values:
- Speed of the wave, [tex]\( v \)[/tex] = [tex]\( 242 \ \text{m/s} \)[/tex]
- Wavelength of the wave, [tex]\( \lambda \)[/tex] = [tex]\( 0.11 \ \text{m} \)[/tex]
2. Write down the formula to calculate frequency:
[tex]\[
f = \frac{v}{\lambda}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
f = \frac{242 \ \text{m/s}}{0.11 \ \text{m}}
\][/tex]
4. Calculate the frequency:
[tex]\[
f = 242 \div 0.11
\][/tex]
[tex]\[
f = 2200 \ \text{Hz}
\][/tex]
5. Compare the calculated frequency with the given options:
- A. 27 Hz
- B. 0.00045 Hz
- C. 190 Hz
- D. 2200 Hz
The correct answer is:
[tex]\[ \boxed{2200 \ \text{Hz}} \][/tex]
Therefore, the frequency of the wave is [tex]\( 2200 \ \text{Hz} \)[/tex], which corresponds to option D.
1. Understand the given values:
- Speed of the wave, [tex]\( v \)[/tex] = [tex]\( 242 \ \text{m/s} \)[/tex]
- Wavelength of the wave, [tex]\( \lambda \)[/tex] = [tex]\( 0.11 \ \text{m} \)[/tex]
2. Write down the formula to calculate frequency:
[tex]\[
f = \frac{v}{\lambda}
\][/tex]
3. Substitute the given values into the formula:
[tex]\[
f = \frac{242 \ \text{m/s}}{0.11 \ \text{m}}
\][/tex]
4. Calculate the frequency:
[tex]\[
f = 242 \div 0.11
\][/tex]
[tex]\[
f = 2200 \ \text{Hz}
\][/tex]
5. Compare the calculated frequency with the given options:
- A. 27 Hz
- B. 0.00045 Hz
- C. 190 Hz
- D. 2200 Hz
The correct answer is:
[tex]\[ \boxed{2200 \ \text{Hz}} \][/tex]
Therefore, the frequency of the wave is [tex]\( 2200 \ \text{Hz} \)[/tex], which corresponds to option D.
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