Physical World
Two particles on a wave having wavelength $$2$$m are at the distances of $$5$$m and $$9$$m respectively from origin. The phase difference between the particles is ________.
Consider the following two equations A)$$L=I\omega$$ and B)$$ \dfrac { dL }{ dt } =\Gamma $$. In noninertial frames :
Angular momentum $$L = Iw$$
A rigid object's angular momentum is stated as follows :
The cross product of the moment of inertia and angular velocity.
It is considered as analogous to corresponding linear momentum.
If there are no other external torque acts on the object, it is subject to the basic limitations of the angular momentum theory.
$$\dfrac{dL}{dt}$$= Total external force torque not equal to any torque.
So, $$\dfrac{dL}{dt}$$ = Γ is not correct.
Hence, option (b) A is true but B is false.
Two particles on a wave having wavelength $$2$$m are at the distances of $$5$$m and $$9$$m respectively from origin. The phase difference between the particles is ________.
A progressive wave is represented by y = 12 sin (5t - 4x) cm. On this wave, how far away are the two points having phase difference of 90$$^o$$?
Two waves, each having a frequency of $$100 { Hz }$$ and a wavelength of $$2.0 { cm },$$ are travelling in the same direction on a string. What is the phase difference between the waves $$( a )$$ if the second wave was produced $$0.015 s$$ later than the first one at the same place, $$(b)$$ if the two waves were produced at a same instant but the first one was produced a distance $$4.0 { cm },$$ behind the second one ? $$(c)$$ If each of the waves has an amplitude of $$2.0 { mm },$$ what would be the amplitudes of the resultant waves in part $$(a)$$ and $$(b)$$ ?
Wave of frequency $$500\ Hz$$ has a phase velocity $$360\ m/s$$. The phase difference between two displacement at a certain point at time $$10^{-3}\ s$$ apart will be :
Equation of a plane wave is given by $$4\sin \dfrac{\pi}{4}\left[2t+\dfrac{x}{8}\right]$$. The phase difference at any given instant of two particles $$16\ cm$$ apart is :
Two point lie on a ray are emerging from a source of simple harmonic wave having period $$0.045$$. The wave speed is $$300\ m/s$$ and points are at $$10\ m$$ and $$16\ m$$ from the source. They differ in phase by :
For the travelling harmonic wave $$y(x,t)=2.0 cos $$ $$ 2\pi $$ (10t-0.0080 x+0.35 ) where x and y are in cm and t in s. Calculate the phase difference between oscillatory motion of two points separated by a distance of $$x$$
A plane harmonic wave with frequency $$\omega$$ propagation at a velocity $$v$$ in a direction forming angles $$\alpha, \beta, \gamma$$ with the $$x, y, z$$ axes. Find the phase difference between the oscillation at the points of medium with coordinates $$x_1, y_1, z_1$$ and $$x_2, y_2, z_2$$.
A plane elastic wave $$\xi =ae^{\gamma x}\cos(\omega t-kx)$$ where $$a,\gamma,\omega,$$ and $$k$$ are constants, propagates in a homogeneous medium. Find the phase difference between the oscillation at the points where the particle' displacement amplitudes differ by $$\eta=1.0\%,$$ if $$\gamma=0.42\ m^{-1}$$ and the wavelength is $$\lambda=50\ cm.$$
In Fig. $$ 35-38, $$ sources $$ A $$ and $$ B $$ emit long-range radio waves of wavelength $$ 400 \mathrm{m}, $$ with the phase of the emission from $$ A $$ ahead of that from source $$ B $$ by $$ 90^{\circ} . $$ The distance $$ r_{A} $$ from $$ A $$ to detector $$ D $$ is greater than the corresponding distance $$ r_{B} $$ by $$ 100 \mathrm{m} . $$ What is the phase difference of the waves at $$ D ? $$