A longitudinal sound wave given by P=25sin(π /2)(x - 660 t) ( P is in Nm- 2 and x is in m and t is in s ) is sent down a closed organ pipe. If the pipe vibrates in second overtone then the length of the pipe (in m ) is :

Question

A longitudinal sound wave given by P=25sin(π /2)(x - 660 t) ( P is in Nm- 2 and x is in m and t is in s ) is sent down a closed organ pipe. If the pipe vibrates in second overtone then the length of the pipe (in m ) is : (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

K=(π /2)=(2 π /λ )⇒ λ =4 Second overtone ⇒ (5 λ /4)=L⇒ L=5m

Q. A longitudinal sound wave given by $P = 25 s in \frac{π}{2} (x - 660 t)$ ( $P$ is in $N m^{- 2}$ and $x$ is in $m$ and $t$ is in $s$ ) is sent down a closed organ pipe. If the pipe vibrates in second overtone then the length of the pipe (in $m$ ) is :

$K = \frac{π}{2} = \frac{2 π}{λ} \Rightarrow λ = 4$
Second overtone $\Rightarrow \frac{5 λ}{4} = L \Rightarrow L = 5 m$

Q. A longitudinal sound wave given by P=25sin2π​(x−660t) ( P is in Nm−2 and x is in m and t is in s ) is sent down a closed organ pipe. If the pipe vibrates in second overtone then the length of the pipe (in m ) is :

K=2π​=λ2π​⇒λ=4 Second overtone ⇒45λ​=L⇒L=5m

Q. A longitudinal sound wave given by $P = 25 s in \frac{π}{2} (x - 660 t)$ ( $P$ is in $N m^{- 2}$ and $x$ is in $m$ and $t$ is in $s$ ) is sent down a closed organ pipe. If the pipe vibrates in second overtone then the length of the pipe (in $m$ ) is :

$K = \frac{π}{2} = \frac{2 π}{λ} \Rightarrow λ = 4$
Second overtone $\Rightarrow \frac{5 λ}{4} = L \Rightarrow L = 5 m$