Amplitude of a wave is represented by $A = \frac{c}{{a + b - c}}$ Then resonance will occur when
Medium
Download our app for free and get started
(b) $A = \frac{c}{{a + b - c}};$ when $b = 0$, $a = c$ amplitude
$A \to \infty $. This corresponds to resonance.
$A \to \infty $. This corresponds to resonance.
Download our appand get started for free
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.*
Similar Questions
- 1The springs in figure. $A$ and $B$ are identical but length in $A$ is three times that in $B$. The ratio of period $T_A/T_B$ isView Solution
- 2A particle performs simple harmonic oscillation of period $T$ and the equation of motion is given by;View Solution
$x = a\,\sin \,\left( {\omega t + \pi /6} \right)$
After the elapse of what fraction of the time period the velocity of the particle will be equal to half of its maximum velocity?
- 3A particle moves with simple harmonic motion in a straight line. In first $\tau \,s,$ after starting from rest it travels a distance $a,$ and in next $\tau \,s$ it travels $2a,$ in same direction, thenView Solution
- 4Which of the following expressions corresponds to simple harmonic motion along a straight line, where $x$ is the displacement and $a, b, c$ are positive constants?View Solution
- 5What is the maximum acceleration of the particle doing the $SHM$ $y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]$ where $2$ is in $cm$View Solution
- 6The potential energy of a simple harmonic oscillator of mass $2\, kg$ in its mean position is $5\, J.$ If its total energy is $9\,J$ and its amplitude is $0.01\, m,$ its time period would beView Solution
- 7One end of a rod of length $L$ is fixed to a point on the circumference of a wheel of radius $R$. The other end is sliding freely along a straight channel passing through the centre of the wheel as shown in the figure below. The wheel is rotating with a constant angular velocity $\omega$ about $O$. Taking $T=\frac{2 \pi}{\omega}$, the motion of the rod isView Solution
- 8If displacement $x$ and velocity $v$ are related as $4v^2 = 16\, -\, x^2$ in a $SHM$ . Then time period of given $SHM$ is (consider $SI\,units$ )View Solution
- 9The velocity vector $v$ and displacement vector $x$ of a particle executing SHM are related as $\frac{v d v}{d x}=-\omega^2 x$ with the initial condition $v=v_0$ at $x=0$. The velocity $v$, when displacement is $x$, isView Solution
- 10A particle is subjected to two mutually perpendicular simple harmonic motions such that its $x$ and $y$ coordinates are given by ?View Solution
$ x = 2 \sin \omega t \,;$ $ y = 2 \sin \left( {\omega t + \frac{\pi }{4}} \right)$
The path of the particle will be :