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Two monoatomic ideal gases $1$ and $2$ of molecular masses $m_1$ and $m_2$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas $1$ to that in gas $2$ is given by
A wave is represented by $x=4 \cos \left(8 t-\frac{y}{2}\right)$, where $x$ and $y$ are in metre and $t$ in second. The frequency of the wave $\left(\right.$ in $^{-1}$ ) is .........
The ratio of intensities between two coherent soud sources is $4 : 1$. The differenmce of loudness in $dB$ between maximum and minimum intensities when they interfere in space is:
A string is stretched between fixed points separated by $75.0\,\, cm.$ It is observed to have resonant frequencies of $420\,\, Hz$ and $315\,\, Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is .... $Hz$
Two generators $S_1$ and $S_2$ produce water wave of equal frequency. A point $P$ is located such that $(S_1P -S_2P)$ is equal to half a wavelength. When operated alone, $S_1$ produces an oscillation of amplitude $2a$ at $P$ while $S_2$ produces an oscillation of amplitude $a$ . If the generators are operated in phase, which graph correctly shows the resultant oscillation at $P$ ?