Home
Class 12
PHYSICS
A wave in a string has an amoplitude of ...

A wave in a string has an amoplitude of 2cm. The wave travels in the postivei direction of x-axis with a speed of `128 ms^(-1)` and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is

A

`y=(0.02) m sin (15.7 x- 2010t) `

B

`y=(0.02) m sin (15.7+ 2010 t) `

C

`y=(0.02) m sin (7.85 x - 1005 t) `

D

`y=(0.02) m sin ( 7.85 x + 1005 t)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos

  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-B ( Objective type Questions ))|45 Videos

  • WAVE OPTICS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-J (Aakash Challengers question))|1 Videos

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - D)|13 Videos

Similar Questions

Explore conceptually related problems

A wave in a string has an amplitude of 2 cm . The wave travels in the +ve direction of x axis with a speed of 1 28 ms^-1 and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is

A transverse wave is travelling on a string. The equation of the wave

Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed 10ms^-1 . If the minimum time interval between two instant when the string is flat is 0.5s , the wavelength of the waves is

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 is represented by the equation y = A sin (10 pi x + 15 pi t + pi//3) Where x is in metre and t is in second. a wave travelling in the positive x-direction with a velocity of 1.5 m/s a wave travelling in the negative x-direction with a velocity 1.5 m/s a wave travelling in the negative x-direction with a wavelength of 0.2 m a wave travelling in the positive x-direction with a wavelength 0.2 m

A wave travels along the positive x-direction with a speed of 20 ms^-1 . The amplitude of the wave is 0.20 cm and the wavelength 2.0 cm. (a) Write a suitable wave equation which describes this wave. (b) What is the displacement and velocity of the particle at x = 2.0 cm at time t = 0 according to the wave equation written ?

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. If one end of the string is at x = 0 , positions of the nodes can be described as

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Amplitude of simple harmonic motion of a point on the string that is located at x = 1.8 cm will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Figure 7.104( c) shows the standing wave pattern at t = 0 due to superposition of waves given by y_(1) and y_(2) in Figs.7.104(a) and (b) . In Fig. 7.104 (c ) , N is a node and A and antinode . At this instant say t = 0 , instantaneous velocity of points on the string named as A

A wave travelling on a string at a speed of 10 ms^-1 causes each particle of the string to oscillate with a time period of 20 ms. (a) What is the wavelength of the wave ? (b) If the displacement of a particle is 1.5 mm at a certain instant, what will be the displacement of a particle 10 cm away from it at the same instant ?

AAKASH INSTITUTE ENGLISH-WAVES-ASSIGNMENT ( SECTION-C ( Previous year Questions ))
  1. Each of the two strings of length 51.6 cm and 49.1 cm are tensioned se...

    Text Solution

    |

  2. The driver of a car treavelling with speed 30 ms ^(-1) toward a hill ...

    Text Solution

    |

  3. A wave in a string has an amoplitude of 2cm. The wave travels in the p...

    Text Solution

    |

  4. The wave described by y = 0.25 sin ( 10 pix -2pi t ) where x and y are...

    Text Solution

    |

  5. Two points are located at a distance of 10 m and 15 m from the source ...

    Text Solution

    |

  6. Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each pr...

    Text Solution

    |

  7. A transerse wave propagating along x-axis is represented by y(xx ,t)...

    Text Solution

    |

  8. The of reverberation of a room A is 1s. What will be the time (in seco...

    Text Solution

    |

  9. Which one of the following statements is true ?

    Text Solution

    |

  10. A point source emits sound equallt in all direction in a non -absoring...

    Text Solution

    |

  11. Two vibrating tunign forks produce progessive waves given by y(1)=4 ...

    Text Solution

    |

  12. Two waves are represented by the equations y(1)=asin(omegat+kx+0.57)...

    Text Solution

    |

  13. A hospital uses an ultrasonic scanner to locate tumours in a tissue. W...

    Text Solution

    |

  14. Two sound waves having a phase difference of 60^(@) have path differe...

    Text Solution

    |

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

    Text Solution

    |

  16. A wave travelling in positive X-direction with A = 0.2 m velocity = 36...

    Text Solution

    |

  17. The phase difference between two waves represented by y(1)=10 ^(...

    Text Solution

    |

  18. A wave of frequency 100 Hz is sent along a string towards a fixed end....

    Text Solution

    |

  19. A standing wave having 3 node and 2 antinode is formed between two ato...

    Text Solution

    |

  20. Two waves of wavelength 50 cm and 51 cm produce 12 beat/s . The speed ...

    Text Solution

    |