Question 354: Waves

Question

In case of a stationary wave pattern which of the following statement is CORRECT?

Accepted Answer

Frequency of first harmonic $$=\mathrm{n}=\frac{\mathrm{v}}{\lambda}=\frac{1}{2 l} \sqrt{\frac{\mathrm{T}}{\mathrm{m}}}$$
Frequency of second harmonic $$=2 \mathrm{n}=\frac{1}{l} \sqrt{\frac{\mathrm{T}}{\mathrm{m}}}$$ ..... (i)
For the first overtone, $$\lambda=l$$
$$	herefore \quad$$ Frequency of first overtone $$\mathrm{n}_1=\frac{1}{l} \sqrt{\frac{\mathrm{T}}{\mathrm{m}}}$$ ...... (ii)
Comparing (i) and (ii), $$\mathrm{n}_1=2 \mathrm{n}$$

Answer

The distance between the consecutive nodes is equal to the wavelength.

Answer

In a pipe at both ends only even harmonics are present in an air column.

Answer

In a pipe closed at one end, all harmonics are present in an air column.

Answer

In case of a stretched string when vibrated, frequency of first overtone is same as second harmonic.

Waves

In case of a stationary wave pattern which of the following statement is CORRECT?

Choose the correct answer: