Question

In the sonometer experiment, the string of length 'L' under tension vibrates in the second overtone between the two bridges. The amplitude of vibration is maximum at ______

Options

• `"L"/6, "L"/2, (5"L")/6`

• `"L"/3, (2"L")/3, (5"L")/6`

• `"L"/2, "L"/4, "L"/6`

• `"L"/8, "L"/4, "L"/2`

Answer 1

In the sonometer experiment, the string of length 'L' under tension vibrates in the second overtone between the two bridges. The amplitude of vibration is maximum at `underlinebb("L"/6, "L"/2, (5"L")/6)`.

Explanation:

`(3lambda)/2 = "L"`

`lambda = (2"L")/3`

Antinode at `lambda/4 = (2"L")/(4 . 3) = "L"/6, (3lambda)/4 = 3/4 xx (2"L")/3 = "L"/2, (5lambda)/4 = 5/4 xx (2"L")/3 = (5"L")/6`