Home
Class 12
PHYSICS
Consider the wave y = (5 mm) sin[1 cm^(...

Consider the wave `y = (5 mm) sin[1 cm^(-1) x - (60 s^(-1)) t]`. Find (a) the amplitude, (b) the angular wave number, ( c ) the wavelength, (d) the frequency, (e) the time period and (f) the wave velocity.

Text Solution

Verified by Experts

The correct Answer is:
(a) `10 mm` , (b) `5 pi cm^(-1)` , (c) `30 Hz` , (d) `30 Hz` , (e) `(1)/(30)s` , (f) `12 cm//s`
Promotional Banner

Topper's Solved these Questions

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 1 PART II|31 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Exercise- 2 PART I|21 Videos

  • WAVE ON STRING

    RESONANCE ENGLISH|Exercise Board Level Exercise|27 Videos

  • TRAVELLING WAVES

    RESONANCE ENGLISH|Exercise Exercise- 3 PART I|19 Videos

  • WAVE OPTICS

    RESONANCE ENGLISH|Exercise Advanced Level Problems|8 Videos

Similar Questions

Explore conceptually related problems

Consider the wave y=(5mm)sin[(1cm^-1)x-(60s^-1)t] . Find the amplitude, b. the wave number, c the wavelength d. the frequency e. the time period and f. the wave velocity.

The equation of a wave travelling on a string is y = (0.10 mm) sin [(31.4 m^(-1)) x + (314 s^(-1))t] (a) In which direction does the travel? (b) Find the wave speed, the wavelength and the frequency of the wave. ( c ) What is the maximum displacement and the maximum speed of a portion of the string?

The displacement of a particle of a string carrying a travelling wave is given by y = (3.0cm) sin 6.28 (0.50x - 50t), where x is in centimetre and t in second Find (a) the amplitude, (b) the wavelength, (c ) the frequency and (d) the speed of the wave.

A particle executes simple harmotic motion about the point x=0 . At time t=0 , it has displacement x=2cm and zero velocity. If the frequency of motion is 0.25 s^(-1) , find (a) the period, (b) angular frequency, ( c) the amplitude, (d) maximum speed, (e) the displacement from the mean position at t=1 s and (f) the velocity at t=1 s .

Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in the positive x-direction. The wave speed is 20 cms^-1 . Find (a) the amplitude, (b) the wavelength, (c) the wave number and (d) the frequency of the wave. .

A wave travelling along a strong is described by y(x,t)=0.005 sin (80.0x-3.0t) in which the numerical constants are in SI units (0.005m, 80.0 rad m^(-1) and 3.0 rad s^( -1)) . Calculate (a) the amplitude. (b) the wavelength (c) the period and frequency of the wave. Also , calculate the displacement y of the wave at a distance x=30.0 cm and time t=20 s?

The equation of a progressive wave is given by y = 5 sin(100pit - 0.4pix) where y and x are in m and t is in s. (1) The amplitude of the wave is 5 m. (2) The wavelength of the wave is 5 m. (3) The frequency of the wave is 50 Hz. ( 4) The velocity of the wave is 250 m s^(-1) Which of the following statements are correct?

What is the wavelength of a wave frequency 262 Hz in water if the wave velocity is 1480 ms^(-1) in water?

The equation of a wave travelling on a string is y=(0.10mm)sin[3.14m^-1)x+(314s^-1)t] . (a) In which direction does the wave travel ? (b) Find the wave speed, the wavelength and the frequency of the wave. (c) What is the maximum displacement and the maximum speed of a portion of the string ?

A certain transverse wave is described by y(x, t)=(6.50 mm) cos 2pi((x)/(28.0 cm) - (t)/(0.0360 s)). Determine the wave's (a) amplitude , (b) wavelength ( c ) frequency , (d) speed of propagation and (e) direction of propagation.

RESONANCE ENGLISH-WAVE ON STRING -Exercise- 1 PART I
  1. Consider the wave y = (5 mm) sin[1 cm^(-1) x - (60 s^(-1)) t]. Find ...

    Text Solution

    |

  2. Figure given shows a sinusoidal wave on a string. If the frequency of ...

    Text Solution

    |

  3. The sketch in the figure shows displacement time curve of a sinusoidal...

    Text Solution

    |

  4. A transverse wave is traelling along a string from left to right. The ...

    Text Solution

    |

  5. A piano string having a mass per unit length equal to 5.00 xx 10^(3)kg...

    Text Solution

    |

  6. In the arrangement shown in figure, the string has a mass of 4.5g. Ho...

    Text Solution

    |

  7. A uniform rope of length 12 mm and mass 6 kg hangs vertically from a r...

    Text Solution

    |

  8. A particle on a stretched string supporting a travelling wave, takes 5...

    Text Solution

    |

  9. Two wires of different densities but same area of cross-section are so...

    Text Solution

    |

  10. A 4.0 kg block is suspended from the ceiling of an elevator through a ...

    Text Solution

    |

  11. A 6.00m segment of a long string has a mass of 180 g. A high-speed pho...

    Text Solution

    |

  12. A transverse wave of amplitude 0.50 mm and frequency 100 Hz is produce...

    Text Solution

    |

  13. The equation of a plane wave travelling along positive direction of x-...

    Text Solution

    |

  14. A series of pulses, each of amplitude 0.150 m, are sent on a string th...

    Text Solution

    |

  15. Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 c...

    Text Solution

    |

  16. What are (a) the lowest frequency (b) the scond lowest frequency and (...

    Text Solution

    |

  17. A nylon guiter string has a linear density of 7.20 g//m and is under a...

    Text Solution

    |

  18. The length of the wire shown in figure between the pulleys is 1.5 m an...

    Text Solution

    |

  19. A string oscillates according to the equation y' = (0.50 cm) sin [((...

    Text Solution

    |

  20. A string vibrates in 4 segments to a frequency of 400 Hz. (a) What i...

    Text Solution

    |