When two progressive waves $\mathrm{y}_1=4 \sin (2 \mathrm{x}-6 \mathrm{t})$ and $\mathrm{y}_2=3 \sin \left(2 \mathrm{x}-6 \mathrm{t}-\frac{\pi}{2}\right)$ are superimposed, the amplitude of the resultant wave is
IIT 2010, Diffcult
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Two waves have phase difference $\pi / 2$.
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When a wave travels in a medium, the particle displacements are given by $y = a\, sin\, 2\pi\, (bt -cx)$ where $a, b,$ and $c$ are constants. The maximum particle velocity will be twice the wave velocity if
A motor cycle starts from rest and accelerates along a straight path at $2 \;m / s ^{2}$. At the starting point of the motor cycle there is a stationary electric siren. How far has the motor cycle gone when the driver hears the frequency of the siren at $94 \%$ of its value when the motor cycle was at rest?
A policeman on duty detects a drop of $10 \%$ in the pitch of the hom of motion of car as it crosses him. If the velocity of sound is $330 \,m / s$. Calculate the speed of the car ........... $m / s$
Two closed organ pipes of length $100 \,cm$ and $101 \,cm$ $16$ beats in $20\, sec$. When each pipe is sounded in its fundamental mode calculate the velocity of sound .... $ms^{-1}$
A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$
If two waves having amplitudes $2A$ and $A$ and same frequency and velocity, propagate in the same direction in the same phase, the resulting amplitude will be
One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it vibrates in resonance in its simplest standing-wave vibration state. Determine the relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
An organ pipe is closed at one end has fundamental frequency of $1500 Hz$. The maximum number of overtones generated by this pipe which a normal person can hear is :
The displacement of a particle is given by $y = 5 \times {10^{ - 4}}\sin (100t - 50x)$, where $x$ is in meter and $t$ in sec, find out the velocity of the wave .... $m/sec$