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

Question

A stretched string of length l, fixed at both ends, can sustain Stationary waves of wavelength of wavelength λ, correctly given by (A) λ=(l2/2p) (B) λ=(p2/2l) (C) λ=2lp (D) λ=(2l/p)

Tardigrade Admin · Accepted Answer

If the string has a length l and both ends are fixed then only vibrational modes are allowed where an integer number of half-wavelengths equals the string length. Now the fundamental wavelength in the wire is: λ=(2 l / p ) where, p =1,2,3 . .

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

$λ = \frac{l ^{2}}{2 p}$

$λ = \frac{p ^{2}}{2 l}$

$λ = 2 lp$

$λ = \frac{2 l}{p}$

If the string has a length $l$ and both ends are fixed then only vibrational modes are allowed where an integer number of half-wavelengths equals the string length. Now the fundamental wavelength in the wire is:
$λ = \frac{2 l}{p}$ where, $p = 1, 2, 3..$

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

λ=2pl2​

λ=2lp2​

λ=2lp

λ=p2l​