A composition string is made up by joining two strings of different masses per unit length $\rightarrow \mu$ and $4\mu$ . The composite string is under the same tension. A transverse wave pulse $: Y = (6 mm) \,\,sin\,\,(5t + 40x),$ where $‘t’$ is in seconds and $‘x’$ in meters, is sent along the lighter string towards the joint. The joint is at $x = 0$. The equation of the wave pulse reflected from the joint is
A$(2 mm) \,\, sin\,\,(5t - 40x)$
B$(4 mm) \,\,sin\,\,(40x - 5t)$
C$- (2 mm) \,\,sin\,\,(5t - 40x)$
D$(2 mm)\,\, sin \,\,(5t - 10x)$
Advanced
Download our app for free and get started
C$- (2 mm) \,\,sin\,\,(5t - 40x)$
c $V_{1}=\sqrt{\frac{T}{\mu}}, V_{2}=\sqrt{\frac{T}{4 \mu}} V_{2} \leq V_{1}$
$\Rightarrow 2^{n d}$ isdanser $\Rightarrow$ phasechan $\geq$ of $\pi$
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A source of sound and listener are approaching each other with a speed of $40 m/s.$ The apparent frequency of note produced by the source is $400 \,cps$. Then, its true frequency (in $cps$) is (velocity of sound in air $= 360 m/s$)
A sinusoidal progressive wave is generated in a string. It’s equation is given by $y = (2\,\, mm) sin (2\pi x - 100 \pi t + \pi /3)$. The time when particle at $x = 4$ $m$ first passes through mean position, will be
A pipe closed at one end produces a fundamental note of $412\,Hz.$ It is cut into two pieces of equal length the fundamental notes produced by the two pieces are
A wave equation which gives the displacement along $y-$direction is given by $y = 0.001\sin (100t + x)$ where $x$ and $y$ are in meterand t is time in second. This represented a wave
A string fixed at both ends resonates at a certain fundamental frequency. Which of the following adjustments would not affect the fundamental frequency?
Two tuning forks $A$ and $B$ give $4$ beats per second. The frequency of $A$ is $256 Hz$. On loading $B$ slightly, we get $5$ beats in $2$ seconds. The frequency of $B$ after loading is .... $Hz$
Two perfectly identical wires are in unison. When the tension in one wire is increased by $1\%$, then on sounding them together $3$ beats are heard in $2 \,sec$. The initial frequency of each wire is .... ${\sec ^{ - 1}}$