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A student is performing the experiment of Resonance Column. The diameter of the column tube is $4$ $cm$. The frequency of the tuning fork is $512$ $Hz$. The air temperature is $38^o C$ in which the speed of sound is $336$ $m/s$. The zero of the meter scale coincides with the top end of the Resonance column tube. When the first resonance occurs, the reading of the water level in the column is ..... $cm$
The tension of a stretched string is increased by $69\%$. In order to keep its frequency of vibration constant, its length must be increased by .... $\%$
A string of mass $m$ and length $l$ hangs from ceiling as shown in the figure. Wave in string moves upward. $v_A$ and $v_B$ are the speeds of wave at $A$ and $B$ respectively. Then $v_B$ is
The transverse displacement $y (x, t)$ of a wave on a string is given by $y\left( {x,t} \right) = {e^{ - \left( {a{x^2} + b{t^2} + 2\sqrt {ab} \;xt} \right)}}$ .This represents a
A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_i, a_r$ and $a_t$ be the amplitude of incident wave, reflected wave and transmitted wave and $I_i, I_r$ and $I_t$ be the corresponding intensities. Then choose the correct alternatives
A car sounding a horn of frequency $ 1000 Hz$ passes an observer. The ratio of frequencies of the horn noted by the observer before and after passing of the car is $11 : 9$. If the speed of sound is v, the speed of the car is
A tuning fork of frequency $480\, Hz$ is used in an experiment for measuring speed of sound $(\nu )$ in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, ${\ell _1} = 30\,cm$ and ${\ell _2} = 70\,cm$. Then $\nu$ is equal to ..... $ms^{-1}$
Velocity of sound waves in air is $330\; m/sec$. For a particular sound in air, a path difference of $40 \;cm$ is equivalent to a phase difference of $1.6 \pi$. The frequency of this wave is... $Hz$