Waves Test - 72...

The friction coefficient between the two blocks shown in the figure is $$\displaystyle \mu $$ and the horizontal plane is smooth. What can be the maximum amplitude $$(A)$$ if the upper block does not slip relative to the lower block ?

A particle is executing SHM $$x=3\cos{\omega t} +4\sin{\omega t}$$. Find the phase shift and amplitude.

Two wires of same material and area of cross section each of length 30 cm and 40 cm are stretched between two ends with tensions 10 N and 20 N respectively. The difference between the fundamental frequencies of two wires is 4.0 Hz, find the linear mass density of the wire.

The velocity and amplitude of the component traveling waves are respectively

If for a particle moving in SHM, there is a sudden increase of $$1$$% in restoring force just as particle passing through mean position, percentage change in amplitude will be

A wave travelling along positive x-axis is given by $$=A\sin { \left( \omega t-kx \right)  } $$. If it is reflected from a rigid boundary such that $$80$$% amplitude is reflected, then equation of reflected wave is

Equations of a stationary wave and a travelling wave are $${ y }_{ 1 } = a\ sinkx\ cos \omega t$$ and $${ y }_{ 2 } = a\ sin (\omega t - kx)$$. The phase difference between two points $${ x }_{ 1 }\ =\ \dfrac { \pi  }{ 3k } \ and\ { x }_{ 2 }\ =\ \dfrac { 3\pi  }{ 2k } \ is\ { \phi  }_{ 1 }$$ for the first wave and $${ \phi  }_{ 2 }$$ for the second wave. The ratio $$\dfrac { { \phi  }_{ 1 } }{ { \phi  }_{ 2 } }$$  is :

A harmonic wave is travelling on string 1. At a junction with string 2, it is partly reflected and partly transmitted. The linear mass density of the second string is four times that of the first string and the boundary between the two strings is at x = 0. If the expression for the incident wave is $$\displaystyle y_{1}=A_{1}\: \cos (k_{1}x-\omega _{1}t)$$

A wave travels on a light string. The equation of the wave is $$Y = A\sin (kx - \omega t + 30^{\circ})$$. It is reflected from a heavy string tied to an end of the light string at $$x = 0$$. If $$64$$% of the incident energy is reflected the equation of the reflected wave is