A uniform string of fundamental frequency of vibration f is divided into two segments by means of a bridge. If f1 and f2 are fundamental frequencies of these segments then

Question

A uniform string of fundamental frequency of vibration f is divided into two segments by means of a bridge. If f1 and f2 are fundamental frequencies of these segments then (A) f1 f2=f(f1+f2] (B) 2 f=f1+f2 (C) √f=√f1+√f2 (D) √f1 f2=2 f

Tardigrade Admin · Accepted Answer

I=I1+I2 f1=(v/2 l1) or l1=(v/2 f1) Similarly, l2=(v/2 f2) l=(v/2 f) (v/2 f)=(v/2 f1)+(v/2 f2) (1/f)=(1/f1)+(1/f2) f=(f1 f2/f1+f2) f(f1+f2]=f1 f2

Q. A uniform string of fundamental frequency of vibration $f$ is divided into two segments by means of a bridge. If $f_{1}$ and $f_{2}$ are fundamental frequencies of these segments then

$f_{1} f_{2} = f (f_{1} + f_{2}]$

$2 f = f_{1} + f_{2}$

$f = f_{1} + f_{2}$

$f_{1} f_{2} = 2 f$

Q. A uniform string of fundamental frequency of vibration f is divided into two segments by means of a bridge. If f1​ and f2​ are fundamental frequencies of these segments then

f1​f2​=f(f1​+f2​]

2f=f1​+f2​

f​=f1​​+f2​​

f1​f2​​=2f

I=I1​+I2​ f1​=2l1​v​ or l1​=2f1​v​ Similarly, l2​=2f2​v​ l=2fv​ 2fv​=2f1​v​+2f2​v​ f1​=f1​1​+f2​1​ f=f1​+f2​f1​f2​​ f(f1​+f2​]=f1​f2​

Q. A uniform string of fundamental frequency of vibration $f$ is divided into two segments by means of a bridge. If $f_{1}$ and $f_{2}$ are fundamental frequencies of these segments then

$f_{1} f_{2} = f (f_{1} + f_{2}]$

$2 f = f_{1} + f_{2}$

$f = f_{1} + f_{2}$

$f_{1} f_{2} = 2 f$