Home
Class 11
PHYSICS
A wave is represented by the equation y=...

A wave is represented by the equation `y=(0.001mm)sin[(50s^-10t+(2.0m^-1)x]`

A

the frequency `=25//piHz`

B

the amplitude `=0.01mm`

C

the wave velocity `=100m//s`

D

the wavelength `=2.0m`

Text Solution

Verified by Experts

The correct Answer is:
A

Compare the given equation with standard equation `y=rsin[(2pi)/(T)t+(2pi)/(lambda)x]`
`(2pi)/(T)=50` or `(1)/(T)=v=(50)/(2pi)=(25)/(pi)Hz`
`(2pi)/(lambda)=2` or `lambda=pi`
`upsilon=vlambda=(25//pi)xxpi=25ms^(-1)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise integer type question|8 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Assertion-Reason Type Questions|23 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Multiple Choice Question-II|14 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

A wave is represented by the equation y=A sin 314[t/(0.5s)-x/(100m)] The frequency is n and the wavelength is lamda

A wave is represented by the equation y=A sin314[(t)/(0.5s)-(x)/(100 m)] The frequency is n and the wavelength is lambda .Then:

A wave is represented by the equation, y = 0.1 sin (60 t + 2x) , where x and y are in metres and t is in seconds. This represents a wave

A wave is represented by the equetion y=y_(0)sin [10pix-15pit+(pi//3)] where x is in metres and t in seconds. The equation represent a travelling wave:

A wave is represented by the equation y=0.1 sin (100pit-kx) If wave velocity is 100 m s^(-1) , its wave number is equal to

A wave is represented by the equation y=0.5 sin (10 t-x)m . It is a travelling wave propagating along the + x direction with velocity

A tavelling harmonic wave is represented by the equation y(x,t)=10^(-3) sin (50t+2x), where x and Y are in meter and t is in seconds . Which of the following is a correct statement about the wave?

A wave is represented by the equation y=10 sin 2pi (100 t-0.02x)+ 10 sin 2pi (100t +0.02 x). The maximum amplitude and loop length are respectively.

The linear density of a string is 1.9 xx 10^(-4)"kg/m." A transverse wave on the string is described by the equation y=(0.021 m) sin[(2.0 m^(-1))x +(30 s^(-1))t]. What are (a) the wave speed and (b) the tension in the string?

A wave is represented by the equation : y=a sin (0.01x-2t) where a and x are in cm . velocity of propagation of wave is

PRADEEP-OSCILLATIONS AND WAVES-JEE mains adv..(multiple choice quection)
  1. The amplitude of a wave disturbance propagating in the positive x-dire...

    Text Solution

    |

  2. If the equation of progressive wave is given by y=4 sin pi[(t)/(5)-(x)...

    Text Solution

    |

  3. A wave is represented by the equation y=(0.001mm)sin[(50s^-10t+(2.0m^-...

    Text Solution

    |

  4. In a sinusoidal wave the time required for a particular point to move ...

    Text Solution

    |

  5. Sounds waves travel at 350m//s through a warm air and at 3500m//s thro...

    Text Solution

    |

  6. A wave, y( (x, t))=0.03 sin pi(2t-0.01x) tavels in a medium. Here, x i...

    Text Solution

    |

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

    Text Solution

    |

  8. The transverse displacement y(x, t) of a wave on a string is given by ...

    Text Solution

    |

  9. The equation of a simple harmonic wave is given by y = 3 sin"(pi)/(2)...

    Text Solution

    |

  10. At 10^(@)C, the value of the density of a fixed mass of an ideal gas d...

    Text Solution

    |

  11. When a string is divided into three segments of length l1,l2 and l3 th...

    Text Solution

    |

  12. A string is stretched between fixed points separated by 75.0cm. It is ...

    Text Solution

    |

  13. The number of possible natural oscillations of air column in a pipe cl...

    Text Solution

    |

  14. An air column, closed at one end and open at the other resonates with ...

    Text Solution

    |

  15. A uniform rope of legnth L and mass m1 hangs vertically from a rigid s...

    Text Solution

    |

  16. A uniform string of length 20m is suspended from a rigid support. A sh...

    Text Solution

    |

  17. A cylindrical tube open at both ends, has a fundamental frequency f in...

    Text Solution

    |

  18. The fundamental frequency of a closed organ pipe of length 20cm is equ...

    Text Solution

    |

  19. A wave y = a sin (omegat - kx) on a string meets with another wave pro...

    Text Solution

    |

  20. Two pulse in a stretched string whose centers are initially 8cm apart ...

    Text Solution

    |