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A wire of length $30\,cm$, stretched between rigid supports, has it's $n^{\text {th}}$ and $(n+1)^{\text {th}}$ harmonics at $400\,Hz$ and $450\; Hz$, respectively. If tension in the string is $2700\,N$, it's linear mass density is.........$kg/m$.
The figure shows four progressive waves $A, B, C$ and $D $ with their phases expressed with respect to the wave $A$. It can be concluded from the figure that
Speed of a transverse wave on a straight wire (mass $6.0\; \mathrm{g}$, length $60\; \mathrm{cm}$ and area of cross-section $1.0\; \mathrm{mm}^{2}$ ) is $90\; \mathrm{ms}^{-1} .$ If the Young's modulus of wire is $16 \times 10^{11}\; \mathrm{Nm}^{-2},$ the extension of wire over its natural length is
Equation of a progressive wave is given by $y = 0.2\cos \pi \left( {0.04t + 0.02x - \frac{\pi }{6}} \right)$The distance is expressed in $cm$ and time in second. What will be the minimum distance between two particles having the phase difference of $\pi /2$ ...... $cm$
Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is
A man stands in front of a hillock and fires a gun. He hears an echo after $1.5\, sec$. The distance of the hillock from the man is ...... $m$ (velocity of sound in air is $330\, m/s$)