A wire of $10^{-2} kgm^{-1}$ passes over a frictionless light pulley fixed on the top of a frictionless inclined plane which makes an angle of $30^o$ with the horizontal. Masses $m$ and $M$ are tied at two ends of wire such that m rests on the plane and $M$ hangs freely vertically downwards. The entire system is in equilibrium and a transverse wave propagates along the wire with a velocity of $100 ms^{^{-1}}$.
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Two sound waves of intensity $2 \,W / m ^2$ and $3 \,W / m ^2$ meet at a point to produce a resultant intensity $5 \,W / m ^2$. The phase difference between two waves is ......
The linear density of a vibrating string is $1.3 \times 10^{-4}\, kg/m.$ A transverse wave is propagating on the string and is described by the equation $Y = 0.021\, \sin (x + 30t)$ where $x$ and $y$ are measured in meter and $t$ in second the tension in the string is ..... $N$
A whistle $S$ of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v$. What is the ratio of largest and smallest frequency detected by a detector $D$ at rest at a distance $2R$ from the centre of circle as shown in figure ? (take $c$ as speed of sound)
While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\,cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\,cm$ for the second resonance. Then
A car is moving towards a high cliff. The car driver sounds a horn of frequency $f$. The reflected sound heard by the driver has a frequency $2f$. If $v$ be the velocity of sound then the velocity of the car, in the same velocity units, will be