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Three coherent waves of equal frequencies having amplitude $10 \,\, \mu m$, $4\,\,\mu m$ and $7 \,\,\mu m$ respectively, arrive at a given point with successive phase difference of $\pi /2$. The amplitude of the resulting wave in $mm$ is given by
A tuning fork of known frequency $256\,Hz$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
$25$ tunning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce $3\, beats/sec.$ If the frequency of the first turning fork is the octave of the last fork, then the frequency of the $21^{st}$ fork is .... $Hz$
Each of the properties of sound listed in column $A$ primarily depends on one of the quantities in column $B$. Choose the matching pairs from two columns
A tuning fork and a sonometer wire were sounded together and produce $4$ beats per second. When the length of sonometer wire is $95 cm$ or $100 cm,$ the frequency of the tuning fork is ..... $Hz$
An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ... $\%$
A source and an observer are moving towards each other with a speed equal to $\frac{v}{2}$ where $v$ is the speed of sound. The source is emitting sound of frequency $n$. The frequency heard by the observer will be
Statement$-1:$ Two longitudinal waves given by equations $y _{1}( x , t )=2 a \sin (\omega t - kx )$ and $y _{2}( x , t )= a \sin (2 \omega t -2 kx )$ will have equal intensity.
Statement$-2:$ Intensity of waves of given frequency in same medium is proportional to square of amplitude only.