Download App

Waves — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsWaves1 Mark
Question
For the harmonic travelling wave $\text{y}=2\cos2\pi(10\text{t}-0.0080\text{x}+3.5)$ where x and y are in cm and t is second. What is the phase difference between the oscillatory motion at two points separated by a distance of:
$\frac{\lambda}{2}$
✓

Answer

$\text{y}=2\cos2\pi(10\text{t}-0.0080\text{x+3.5})$
$\text{y}=2\cos(20\pi\text{t}-0.0016\pi\text{x}+7.0\pi)$
Wave is propagated in $+\text{x}$ direction because $\omega\text{t}$ and kx are in with opposite sign standard equation $\text{y}=\text{a}\cos(\omega\text{t}-\text{kx}+\phi)$
a = 2, $\omega=20\pi,\ \text{k}=0.016\pi$ and $\phi=7\pi$
Path difference $\text{p}=\frac{\lambda}{2}$
$\Delta\phi=\frac{2\pi}{\lambda}\text{p}=\frac{2\pi}{\lambda}\times\frac{\lambda}{2}\pi\ \text{radian}$

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 "1 Marks Question" from Waves→Waves — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

On what factor does the coefficient of friction between two surfaces depend?
→
If the angle of contact between a liquid and solid (a) is less than $90^{\circ} $ (b) is more than $90^{\circ} $ then would the liquid wet the solid? What will be its surface in a capillarly tube made from the solid? Will it rise in the capillary tube?
→
When force acting on a body is perpendicular to direction of motion then work done is ­­­­­­­­­________.
→
NaCl molecule is bound due to the electric force between the sodium and the chlorine ions when one electron. of sodium is transferred to chlorine. Taking the separation between the ions to be 2.75 × 10cm, find the force of attraction between them· State the assumptions (if any) that you have made.
→
Find the area of the circle of radius 3.458cm upto correct significant figures.
→
Can the curve in the displacement-time graph be perpendicular to the time axis?
→
Answer carefully, with reasons: If the potential energy of two billiard balls depends only on the separation distance between their centres, is the collision elastic or inelastic? (Note: we are talking here of potential energy corresponding to the force during collision, not gravitational potential energy).
→
What is the gravitational potential at infinity?
→
Determine $\pi$ with due regard to significant figures. $[\text{Given }\pi=3.14]$
→
Q If the velocities of four molecules of a gas are $\sqrt{3}, 3,4,6 ~\text {m / sec}$ respectively, then write the value of their root mean square velocity.
→