Two waves ${y_1} = {A_1}\sin (\omega t - {\beta _1})$, ${y_2} = {A_2}\sin (\omega t - {\beta _2})$ Superimpose to form a resultant wave whose amplitude is
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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 If a maxima is formed at the detector then, the magnitude of wavelength $\lambda$ of the wave produced is given by $\pi R$
A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
A transverse wave travels on a taut steel wire with a velocity of ${v}$ when tension in it is $2.06 \times 10^{4} \;\mathrm{N} .$ When the tension is changed to $T$. the velocity changed to $\frac v2$. The value of $\mathrm{T}$ is close to
When a train approaches a stationary observer, the apparent frequency of the whistle is $n'$ and when the same train recedes away from the observer, the apparent frequency is $n''.$ Then, the apparent frequency $n$ when the observer moves with the train is
The figure represents the instantaneous picture of a transverse harmonic wave traveling along the negative $x$-axis. Choose the correct alternative $(s)$ related to the movement of the nine points shown in the figure. The points moving downwards is/are
If in a stationary wave the amplitude corresponding to antinode is $4 \,cm$, then the amplitude corresponding to a particle of medium located exactly midway between a node and an antinode is ........... $cm$
In a resonance column, first and second resonances are obtained at depths $22.7\, cm$ and $70.2\, cm .$ The third resonance will be obtained at a depth (in $cm$)
Two identical flutes produce fundamental notes of frequency $300 Hz$ at ${27^o} C.$ If the temperature of air in one flute is increased to ${31^o}$C, the number of the beats heard per second will be
A police car horn emits a sound at a frequency $240 Hz$ when the car is at rest. If the speed of the sound is $330 m/s$, the frequency heard by an observer who is approaching the car at a speed of $11 m/s,$ is ... $Hz$