The phase difference between two waves, represented by y_1 = 10^ … - Vidyadip

MCQ

The phase difference between two waves, represented by ${y_1} = {10^{ - 6}}\sin \left\{ {100t + \left( {x/50} \right) + 0.5} \right\}\ m$ , ${y_2} = {10^{ - 6}}\cos \left\{ {100t + \left( {\frac{x}{{50}}} \right)} \right\}\ m$ where $x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $radians$

A
$2.07$
B
$0.5$
C
$1.5$
✓
$1.07$

✓

Answer

Correct option: D.

$1.07$

d
$\Delta \phi=\frac{\pi}{2}-0.5$

$=1.07$ radian.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 14. waves and sound→14. waves and sound — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

A plane is inclined at an angle $\alpha = 30^o$ with respect to the horizontal. A particle is projected with a speed $u = 2\,ms^{-1},$ from the base of the plant, making an angle $\theta = 15^o$ with respect to the plane as shown in the figure. The distance from the base at which the particle hits the plane is close to ........ $cm$ (Take $g = 10\,ms^2$ )

Three particles of equal mass $m$ are situated at the vertices of an equilateral triangle of side $l$. They are moving in a circle in influence of their mutual gravitational interaction. Then their time period of revolution is directly proportional to

A body rotates about a fixed axis with an angular acceleration of $3 \,rad / s ^2$. The angle rotated by it during the time when its angular velocity increases from $10 \,rad / s$ to $20 \,rad / s$ (in radian) is ..........

A ball is moving uniformly in a circular path of radius $1 m$ with a time period of $1.5 \,s$. If the ball is suddenly stopped at $t=8.3 \,s$, the magnitude of the displacement of the ball with respect to its position at $t=0 \,s$ is closest to .......... $m$

One end of a uniform rod of mass m and length (l) is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end at a uniform angular velocity $\omega.$ The force exerted by the clamp on the rod has a horizontal component:

$\text{m}\omega^2\text{l}$
$\text{Zero.}$
$\text{mg}$
$\frac{1}{2}\text{m}\omega^2\text{l}$

The intensity of the gravitational field at a distance $r$ from the center of a spherical shell of mass M and radius $R (r< R )$ will be :

Can the centre of gravity be situated outside the material of the body?

A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water

During which time interval is the particle described by these position graphs at rest?

The position of a particle related to time is given by $x =\left(5 t ^2-4 t +5\right) m$. The magnitude of velocity of the particle at $t=2\,s$ will be $...........ms^{-1}$