Equation of a progressive wave is given by $y = a\,\sin \pi \,\left[ {\frac{t}{2} - \frac{x}{4}} \right]\,,$ where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8 sec$ is .... $(m)$ (in meter)
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Two sources of sound of same frequency are placed at a distance of $100\,m$ from each other. An observer moving in between them hears $4$ beats per second. If the distance between the sound sources is increased to $400\,m$, then number of beats heard by him will be :-
The fundamental frequency of a sonometer wire increases by $6$ $Hz$ if its tension is increased by $44\%$ keeping the length constant. The change in the fundamental frequency of the sonometer wire in $Hz$ when the length of the wire is increased by $20\%$, keeping the original tension in the wire will be :-
In a gultar, two strings $A$ and $B$ made of same materlal are slightly out of tune and produce beats of frequency $6\, Hz$. When tension in $B$ is slightly decreased, the beat frequency increases to $7 \,Hz$. If the frequency of $A$ is $530\, Hz ,$ the orlginal frequency of $B$ will be $.........Hz$
The apparent frequency of a note, when a listener moves towards a stationary source, with velocity of $40 m/s$ is $200 Hz$. When he moves away from the same source with the same speed, the apparent frequency of the same note is $160 Hz$. The velocity of sound in air is (in $m/s$)
Two sitar strings, $A$ and $B,$ playing the note $'Dha'$ are slightly out of tune and produce beats and frequency $5\,Hz.$ The tension of the string $B$ is slightly increased and the beat frequency is found to decrease by $3\,Hz$ . If the frequency of $A$ is $425\,Hz,$ the original frequency of $B$ is ... $Hz$
In a medium sound travels $2\, km$ in $3\, sec$ and in air, it travels $3 \,km$ in $10\, sec$. The ratio of the wavelengths of sound in the two media is
Figure shows a snapshot for a travelling sine wave along a string. Four elemental portions $a, b, c$ and $d$ are indicated on the string. The elemental portion which has maximum potential energy is/are