If $n_1 , n_2$ and $n_3$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by
$n=n_1+n_2+n_3$
$\sqrt {{n_{}}} $=$\sqrt {{n_1}} + \sqrt {{n_2}} $+$\sqrt {{n_3}} $
$\frac{1}{n}$ =$\frac{1}{{{n_1}}}$ + $\frac{1}{{{n_2}}}$ +$\frac{1}{{{n_3}}}$
$\frac{1}{{\sqrt {{n_{}}} }}$=$\frac{1}{{\sqrt {{n_1}} }}$+$\frac{1}{{\sqrt {{n_2}} }} + \frac{1}{{\sqrt {{n_3}} }}$
Two waves of sound having intensities $I$ and $4I$ interfere to produce interference pattern. The phase difference between the waves is $\pi /2$ at point $A$ and $\pi$ at point $B$. Then the difference between the resultant intensities at $A$ and $B$ is
In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is $0.170 \,s$. The frequency of wave is ........ $Hz$
A string of mass $2.5\, kg$ under some tension. The length of the stretched string is $20\, m$. If the transverse jerk produced at one end of the string takes $0.5\, s$ to reach the other end, tension in the string is .... $N$
A string of mass $2.5\ kg$ is under a tension of $200\ N$ . The length of the stretched string is $20.0\ m$ . If the transverse jerk is struck at one end of the string, the disturbance will reach the other end in .... $\sec$
The amplitude of a wave disturbance propagating in the positive $X-$ direction is given by $y = 1/(1 + x^2)$ at time $t = 0$ and by $y = 1/[1 + (x -1)^2]$ at $t = 2$ seconds, where $x$ and $y$ are in metres. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is ..... $ms^{-1}$