Question

Figure shows three different modes of vibration of a string.

What is the ratio of frequency between (a) and (c)?

विकल्प

• 3 : 1

• 2 : 1

• 1 : 2

• 1 : 3

Answer 1

3 : 1

Explanation:

For a stretched string, frequency is proportional to the number of loops or antinodes.

• Mode I has 3 loops → third harmonic
• Mode III has 1 loop → fundamental mode

∴ \[ f_I:f_{III} = 3:1 \]