Home
Class 11
PHYSICS
A transverse wave is propagating along +...

A transverse wave is propagating along `+x` direction. At `t=2` sec the particle at `x=4`m is at `y=2` mm. With the passage of time its `y` coordinate increases and reaches to a maximum of 4 mm. The wave equation is (using `omega` and `k` with their usual meanings)

A

`y=4sin[omega(t+2)+k(x-2)+(pi)/(6)]`

B

`y=4sin[omega(t+2)+k(x)+(pi)/(6)]`

C

`y=4sin[omega(t-2)-k(x-4)+(5pi)/(6)]`

D

`y=4sin[omega(t-2)-k(x-4)+(pi)/(6)]`

Text Solution

Verified by Experts

The correct Answer is:
D
SHM equation of the particle at `x=4` is
`y=4sin[omega(t+2)+(pi)/(6)]`
Wave equation, replacing t by `[t-((x-4)/(v))]` is
`y=4sin(omega(t-((x-4))/(v)-2)+(pi)/(6))`
`=4sin[omega(t-2)-k(x-4)+(pi)/(6)]`
Promotional Banner

Topper's Solved these Questions

  • WAVES AND ACOUSTICS

    A2Z|Exercise Superposition And Interference|23 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Beats|20 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Chapter Test|30 Videos

  • VECTORS

    A2Z|Exercise Chapter Test|29 Videos

  • WORK, ENERGY, POWER AND COLLISION

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

A wave is propagating in positive x- direction. A time t=0 its snapshot is taken as shown. If the wave equation is y=A sin(omegat-Kx+phi) , then phi is

A transverse wave propagating along x-axis is represented as y(x,t)= 0.8sin(pi/4-4pit-pi/2x) where x is in meter and t is in second. The velocity of wave is

A plane electromagnetic wave propagating in the x-direction has wavelength of 6.0 mm . The electric field is in the y-direction and its maximum magnitude of 33 Vm^(-1) . The equation for the electric field as function of x and l is

A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at x=2 cm is found at its mean position and it is moving in positive y-direction at t=1 s. the amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1m,pi//4m and 4pi rad//s , respectively. The speed of particle at x=2 m and t=1 s is

A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at x=2 cm is found at its mean position and it is moving in positive y-direction at t=1 s. the amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1m,pi//4m and 4pi rad//s , respectively. The instantaneous power transfer through x=2 m and t=1.125 s is

A sinusoidal wave is propagating in negative x-direction in a string stretched along x-axis. A particle of string at x=2 cm is found at its mean position and it is moving in positive y-direction at t=1 s. the amplitude of the wave, the wavelength and the angular frequency of the wave are 0.1m,pi//4m and 4pi rad//s , respectively. The equation of the wave is

A plane e.m. wave propagating in the x-direction has a wavelength 5.0 mm. The electric field is in the y-direction and its maximum magitude is 50Vm^_1 . Write the equation for the electric and magnetic fields as a function of x and t.

A plane electromagnetic wave propagating in the x-direction has wavelength of 60 mm. The electric field is in the y-direction and its maximum magnitude is 33 V//m^(-1) .The equation for the electric field as function of x and t is:

Knowledge Check

  • A wave is propagating in positive x- direction. A time t=0 its snapshot is taken as shown. If the wave equation is y=A sin(omegat-Kx+phi) , then phi is

    A
    `phi=0`
    B
    `phi-=pi`
    C
    `phi=pi//2`
    D
    `phi=3pi//2`

  • A plane electromagnetic wave propagating in the x-direction has wavelength of 6.0 mm . The electric field is in the y-direction and its maximum magnitude of 33 Vm^(-1) . The equation for the electric field as function of x and l is

    A
    `11 sin pi(t-x//c)`
    B
    `33 sin pi xx 10^(11)(t-x//c)`
    C
    `33 sin pi(t-x//c)`
    D
    `11 sin pi xx 10^(11) (t-x//c)`

  • A transverse wave propagating along x-axis is represented by : y(x,t) = 8 sin (0.5 pi x - 4 pi t -(pi)/(4)) where x is in metres and t is in seconds . The speed of the wave is

    A
    `4 pi m//s `
    B
    `0.5 pi m//s `
    C
    `(pi)/(4) m//s `
    D
    `8 m//s `
    • A2Z-WAVES AND ACOUSTICS-Equation And Energy Of Progressive Wave
    1. A transverse wave is propagating along +x direction. At t=2 sec the pa...

      Text Solution

      |

    2. The diagram below shows an instantaneous position of a string as a tra...

      Text Solution

      |

    3. Figure below shows the wave y=Asin (omegat-kx) at any instant travelli...

      Text Solution

      |

    4. The equation of a transverse travelling on a rope is given by y=10sinp...

      Text Solution

      |

    5. A transverse wave is represented by the equation y=y0sin.(2pi)/(lamd...

      Text Solution

      |

    6. A transverse periodic wave on a string with a linear mass density of 0...

      Text Solution

      |

    7. The displacement from the position of equilibrium of a point 4 cm from...

      Text Solution

      |

    8. A wave moving with constant speed on a uniform string passes the point...

      Text Solution

      |

    9. A sinusoidal wave moving along a string is shown twice in the figure. ...

      Text Solution

      |

    10. The displacement time graph for two sound waves A and B are shown in t...

      Text Solution

      |

    11. In the given progressive wave equation y=0.5sin(10pit-5x) where x,y in...

      Text Solution

      |

    12. A transverse wave described by equation y=0.02sin(x+30t) (where x and ...

      Text Solution

      |

    13. A 100 Hz sinusoidal wave is travelling in the positive x-direction alo...

      Text Solution

      |

    14. Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a s...

      Text Solution

      |

    15. A transverse wave is passing through a stretched string with a speed o...

      Text Solution

      |

    16. The pressure variation that correspond to pain threshold (i.e., the ea...

      Text Solution

      |