$y = 0.05 sin 2 π (0.1 x + 2 t)$ represents a wave equation in which the distances are measured in metre and time in seconds. then wave velocity is

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Answer 1

$v = \frac{ω}{k} = \frac{2}{0 . 1} = 20 \frac{m}{s}$

Answer 2

v = \frac{ω}{k} = \frac{2}{0 . 1} = 20 \frac{m}{s}

$y = 0.05 sin 2 π (0.1 x + 2 t)$ represents a wave equation in which the distances are measured in metre and time in seconds. then wave velocity is

$10 m / s$

$20 m / s$

$30 m / s$

$40 m / s$

$v = \frac{ω}{k} = \frac{2}{0 . 1} = 20 \frac{m}{s}$

The equation of a simple harmonic wave is given by
$y = 3 sin \frac{π}{2} (50 t - x)$
where $x$ and $y$ are in meters and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is:

Equations $y = 2 A c o s^{2} ω t$ and $y = A (sin ω t + 3 cos ω t)$ represent the motion of two particles.

The displacement of a particle executing S.H.M. is given by $y = 10 sin (6 t + π / 3)$ in metre and time in seconds. The initial displacement and velocity of the particle are respectively :

The equation for the displacement of a particle executing SHM is y = {5 sin 2 $π$ t }cm. Then the velocity at 3 cm from the mean position is

The displacement of a body executing SHM is given by $x = A s i n (2 π t + π / 3)$ .The first time from $t = 0$ when the velocity is maximum is

Revise with Concepts

Laplace's Correction to Newton's Formula for Velocity of Sound in Gases

Speed of Travelling Waves

Newton's Formula for Speed of Sound in Gases

Relation Between Particle Velocity and Wave Velocity

The Speed of a Travelling Wave

Speed of a Transverse Wave on a Stretched String

Relate Sinusoidal Form of a Wave Traveling With Speed

y=0.05sin2π(0.1x+2t) represents a wave equation in which the distances are measured in metre and time in seconds. then wave velocity is

10m/s

20m/s

30m/s

40m/s

v=kω​=0.12​=20sm​

The equation of a simple harmonic wave is given by y=3sin2π​(50t−x) where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is:

Equations y=2Acos2ωt and y=A(sinωt+3​cosωt) represent the motion of two particles.

The displacement of a particle executing S.H.M. is given by y=10sin(6t+π/3) in metre and time in seconds. The initial displacement and velocity of the particle are respectively :

The equation for the displacement of a particle executing SHM is y = {5 sin 2π t }cm. Then the velocity at 3 cm from the mean position is

The displacement of a body executing SHM is given by x=Asin(2πt+π/3).The first time from t=0 when the velocity is maximum is

Revise with Concepts

Laplace's Correction to Newton's Formula for Velocity of Sound in Gases

Speed of Travelling Waves

Newton's Formula for Speed of Sound in Gases

Relation Between Particle Velocity and Wave Velocity

The Speed of a Travelling Wave

Speed of a Transverse Wave on a Stretched String

Relate Sinusoidal Form of a Wave Traveling With Speed

$y = 0.05 sin 2 π (0.1 x + 2 t)$ represents a wave equation in which the distances are measured in metre and time in seconds. then wave velocity is

$10 m / s$

$20 m / s$

$30 m / s$

$40 m / s$

$v = \frac{ω}{k} = \frac{2}{0 . 1} = 20 \frac{m}{s}$

The equation of a simple harmonic wave is given by
$y = 3 sin \frac{π}{2} (50 t - x)$
where $x$ and $y$ are in meters and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is:

Equations $y = 2 A c o s^{2} ω t$ and $y = A (sin ω t + 3 cos ω t)$ represent the motion of two particles.

The displacement of a particle executing S.H.M. is given by $y = 10 sin (6 t + π / 3)$ in metre and time in seconds. The initial displacement and velocity of the particle are respectively :

The equation for the displacement of a particle executing SHM is y = {5 sin 2 $π$ t }cm. Then the velocity at 3 cm from the mean position is

The displacement of a body executing SHM is given by $x = A s i n (2 π t + π / 3)$ .The first time from $t = 0$ when the velocity is maximum is