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The fundamental frequency of a sonometer wire is increases by $6\, Hz$ if its tension is increased by $44\%$, keeping the length constant. The frequency of the wire is ...... $Hz$
At standard temperature and pressure the density of a gas is $1.3$ $kg/{m^3}$ and the speed of the sound in gas is $330\, m/sec.$ Then the degree of freedom of the gas will be
A locomotive approaching a crossing at a speed of $20 \,ms ^{-1}$ sounds a whistle of frequency $640 \,Hz$ when $1 \,km$ from the crossing. There is no wind and the speed of sound in air is $330 \,ms ^{-1}$. What frequency is heard by an observer $\sqrt{3} \,km$ on the straight road from the crossing at right angle ......... $Hz$
A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ..... $m$ (all quantities are in $SI$ units)
The equation of a stationary wave is $y = 0.8\cos \,\left( {\frac{{\pi x}}{{20}}} \right)\sin 200\,\pi t$, where $x$ is in $cm$ and $t$ is in sec. The separation between consecutive nodes will be..... $cm$
A narrow tube is bent in the form of a circle of radius $R,$ as shown in the figure. Two small holes $S$ and $D$ are made in the tube at the positions right angle to each other. A source placed at $S$ generated a wave of intensity $I_0$ which is equally divided into two parts : One part travels along the longer path, while the other travels along the shorter path. Both the part waves meet at the point $D$ where a detector is placed The maximum intensity produced at $D$ is given by
A travelling harmonic wave is represented by the equation $y(x, t) = 10^{-3}\,sin\,(50t + 2x)$, where $x$ and $y$ are in meter and $t$ is in seconds. Which of the following is a correct statement about the wave?
If two waves represented by $y_1 = 4\, \sin\, \omega t$ and ${y_2} = 3\sin \,\left( {\omega t + \frac{\pi }{3}} \right)$ interfere at a point, then amplitude of the resulting wave will be about
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