A stretched string of length l, fixed at both ends can sustain stationary waves of wavelength given by

Question

A stretched string of length l, fixed at both ends can sustain stationary waves of wavelength given by (A)  λ =(n2/2l)  (B)  λ =(I2/2n)  (C)  λ =(2l/n)  (D)  λ =2 ln

Tardigrade Admin · Accepted Answer

λ =(2l/n), where n= number of loops. at n=1 λ =2l at n=2 λ =(2l/2) at n=3 λ =(2l/3) at n=n λ =(2l/n)

Q. A stretched string of length $l,$ fixed at both ends can sustain stationary waves of wavelength given by

$λ = \frac{n ^{2}}{2 l}$

$λ = \frac{I ^{2}}{2 n}$

$λ = \frac{2 l}{n}$

$λ = 2 ln$

$λ = \frac{2 l}{n},$
where $n =$ number of loops.
at $n = 1$ $λ = 2 l$ at $n = 2$
$λ = \frac{2 l}{2}$ at $n = 3$
$λ = \frac{2 l}{3}$ at $n = n$
$λ = \frac{2 l}{n}$

Q. A stretched string of length l, fixed at both ends can sustain stationary waves of wavelength given by

λ=2ln2​

λ=2nI2​

λ=n2l​

λ=2ln