The displacement y of a particle in a medium can be expressed as: $y = {10^{ - 6}}\sin (100t + 20x + \pi /4)m,$ where $t$ is in second and $x$ in meter. The speed of wave is ... $m/s$
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A source and an observer are moving towards each other with a speed equal to $\frac{v}{2}$ where $v$ is the speed of sound. The source is emitting sound of frequency $n$. The frequency heard by the observer will be
An earthquake generates both transverse $(S)$ and longitudinal $(P)$ sound waves in the earth. The speed of $S$ waves is about $4.5 \,km/s$ and that of $P$ waves is about $8.0 \,km/s.$ A seismograph records $P$ and $S$ waves from an earthquake. The first $P$ wave arrives $4.0\, min$ before the first $S$ wave. The epicenter of the earthquake is located at a distance about .... $km$
The intensity of sound from a radio at a distance of $2$ metres from its speaker is $1 \times {10^{ - 2}}\mu \;W/{m^2}.$ The intensity at a distance of $10$ meters would be
In the figure shown a mass $1\ kg$ is connected to a string of mass per unit length $1.2\ gm/m$ . Length of string is $1\ m$ and its other end is connected to the top of a ceiling which is accelerating up with an acceleration $2\ m/s^2$ . A transverse pulse is produced at the lowest point of string. Time taken by pulse to reach the top of string is .... $s$
When a source of sound crosses a stationary observer then the change in apparent frequency of sound observed by the observer, when $V_{ s } < < V$, will be -
A wave disturbance in a medium is described by $y(x,\,t) = 0.02\cos \,\left( {50\,\pi t + \frac{\pi }{2}} \right)\cos (10\pi x)$, where $ x$ and $y$ are in metres and $t$ in seconds
An organ pipe ${P_1}$ closed at one end vibrating in its first overtone and another pipe ${P_2}$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of ${P_1}$ and ${P_2}$ is
$Assertion :$ Two waves moving in a uniform string having uniform tension cannot have different velocities.
$Reason :$ Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.