Ten tuning forks are arranged in increasing order of frequency in such a way that any two nearest tuning forks produce $4$ beats/sec. The highest frequency is twice of the lowest. Possible highest and the lowest frequencies are
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A stone is hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are $L \,cm$ apart when the wire is in unison with a tuning fork of frequency $ N$. When the stone is completely immersed in water, the length between the bridges is $l \,cm$ for re-establishing unison, the specific gravity of the material of the stone is
A tuning fork vibrating with a sonometer having a wire of length $20 \,cm$ produces $5$ beats per second. The beats frequency does not change if the length of the wire is changed to $21 \,cm$. The frequency of the tuning fork must be ............ $Hz$
A plane sound waves passes from medium $1$ into medium $2$. The speed of sound in medium $1$ is $200\,m/s$ and in medium $2$ is $100 \,m/s$. The ratio of amplitude of the transmitted wave to that of incident wave is :-
Two waves are represented by the equations : $y_1 = a\, sin\,(\omega t + kx + 0.57)\, m$ and $y_2 = a\, cos\,(\omega t + kx)\, m$, where $x$ is in $metres$ and $t$ is in $seconds$ . The phase difference between them is ..... $radian$
A point source emits sound equally in all directions in a non-absorbing medium, Two points $P$ and $Q $ are at distance of $2m$ and $3m$ respectively from the source. The ratio of the intensities of the waves at $P$ and $ Q$ is
A wave travelling in the $+ve$ $x-$ direction having displacement along $y-$ direction as $1\,\, m,$ wavelength $2\pi\,\, m$ and frequency of $\frac{1}{\pi}$ $Hz$ is represented by
A wire is stretched between two rigid supports vibrates in its fundamental mode with a frequency of $50\,\, Hz$ . The mass of the wire is $30\,\, g$ and its linear density is $4\, \times \, 10^{-2}\,\, kg/m$ . The speed of the transverse wave at the string is ...... $ms^{-1}$