Home/Class 11/Maths/

Question and Answer

A travelling harmonic wave is represented by the equation \( y\left(x,t\right)= {10}^{-3}sin\left(50\;t+2x\right)\), where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?
The wave is propagating along the
a.negative x-axis with speed 25\( {ms}^{-1}\)
b.The wave is propagating along the positive x-axis with speed 25\( {ms}^{-1}\)
c.The wave is propagating along the positive x-axis with speed 100\( {ms}^{-1}\)
d.The wave is propagating along the negative x-axis with speed 100\( {ms}^{-1}\)

Answer

a
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play

Solution

Solution for A travelling harmonic wave is represented by the equation  yleft(x,tright)= {10}^{-3}sinleft(50;t+2xright), where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?The wave is propagating along thea.negative x-axis with speed 25 {ms}^{-1}b.The wave is propagating along the positive x-axis with speed 25 {ms}^{-1}c.The wave is propagating along the positive x-axis with speed 100 {ms}^{-1}d.The wave is propagating along the negative x-axis with speed 100 {ms}^{-1}
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Solution, Download the APP
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct15
Incorrect0
Watch More Related Solutions
If \( sin\theta =\frac{1}{2}\), \( cos\phi =\frac{1}{3}\), then \( \theta +\phi \) belongs to, where \( 0\lt \theta , \phi \lt \frac{\pi }{2}\)( )
A. \( \left(\frac{\pi }{3},\frac{\pi }{2}\right)\)
B. \( \left(\frac{\pi }{2},\frac{2\pi }{3}\right)\)
C. \( \left(\frac{2\pi }{3},\frac{5\pi }{6}\right)\)
D. \(  \left(\frac{5\pi }{6},\pi \right)\)
The number of four
digit numbers that can be made with the digits 1, 2, 3, 4, and 5 in which at least two digits are identical is
( )
A. \(4^5-5!\)
B. \(505\)
C. \(600\)
D. none of these
Consider the parabola \( {y}^{2}=4x\). Let \( A\equiv \left(4, -4\right)\) and \( B\equiv \left(9, 6\right)\) be two fixed points on the parabola. Let C be a moving point on the parabola between A and B such that the area of the triangle ABC is maximum. Then the coordinates of C are
a.\( \left(\frac{1}{4},1\right)\)
b.\( \left(4, 4\right)\)
c.\(\left(3, \frac{2}{\sqrt{3}}\right)\)
d.\( \left(3, -2\sqrt{3}\right)\)
If \( {sin}^{-1}x+si{n}^{-1}y=\frac{\pi }{2}\) and \( sin2x=cos2y\) then the value of x is.( )
A. \( \frac{\pi }{8}+\sqrt{\frac{1}{2}-\frac{{\pi }^{2}}{64}}\)
B. \( \sqrt{\frac{1}{2}-\frac{{\pi }^{2}}{64} }-\frac{\pi }{2}  \)
C. \( \frac{\pi }{12}+\sqrt{\frac{1}{2}-\frac{{\pi }^{2}}{64}}\)
D. \( \sqrt{\frac{1}{2}-\frac{{\pi }^{2}}{64} }-\frac{\pi }{8}  \)
Find the general solution of the equations (i) \( sin\theta =\frac{\sqrt{3}}{2}\) (ii) \( 2sin\theta +1=0\) (iii) \( cos\;ec\theta =2\)
Roots of equation \( {x}^{6}-4{x}^{4}+4{x}^{2}-1=0\) are( )
A. \(\pm 1,\dfrac{1\pm i\sqrt{5}}{2},\dfrac{−1\pm \sqrt{5}}{2}\)
B. \(\pm 1,\dfrac{1\pm \sqrt{5}}{2},\dfrac{−1\pm i\sqrt{5}}{2}\)
C. \(\pm 1,\dfrac{1\pm \sqrt{5}}{2},\dfrac{−1\pm \sqrt{5}}{2}\)
D. \(\pm 1,\dfrac{−1\pm \sqrt{5}}{2},\dfrac{−1\pm i\sqrt{5}}{2}\)
Find the equation of the ellipse whose focus is \( S(-1,1),\) the corresponding directrix is \( x-y+3=0,\) and eccentricity is \( 1/2\).
Prove:
\( cos\;4x=1-8si{n}^{2}xco{s}^{2}x\)
If \( \omega \left(\ne\;1\right)\) is a cube root of unity, and \( (1+\omega {)}^{7}=A-B\omega \). Then \( (A,B)\) equals
a.\( \left(0,1\right)\)
b.\( \left(1,1\right)\)
c.\( \left(2,0\right)\)
d.\( (-1,1)\)
\( mtan\left(\theta -30°\right)=ntan\left(\theta +120°\right)\) show that \( cos2\theta =\frac{m+n}{2\left(m-n\right)}\)

Load More