Home
Class 11
PHYSICS
A string of length 1.5 m with its two en...

A string of length 1.5 m with its two ends clamped is vibrating in fundamental mode. Amplitude at the centre of the string is 4 mm. Minimum distance between the two points having amplitude 2 mm is:

A

`1m`

B

`75cm`

C

`60cm`

D

`50cm`

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of standing wave
`y=Asinkxcosomegat`
`y=A` as amplitude is 2A
`A=2Asinkx`
`(2pi)/(lamda)x=(pi)/(6)impliesx_1=(1)/(4)m`
and `(2pi)/(lamda).x=(pi)/(2)+(pi)/(3)`
`impliesx_1=1.25mimpliesx_2-x_1=1m`
Promotional Banner

Topper's Solved these Questions

  • WAVES AND ACOUSTICS

    A2Z|Exercise Vibration Of Air Column|23 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Sound Wave And Loudness|27 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Stationary Waves|20 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 string of mass per unit length mu is clamped at both ends such that one end of the string is at x = 0 and the other is at x =l . When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta

A string of mass 'm' and length l , fixed at both ends is vibrating in its fundamental mode. The maximum amplitude is 'a' and the tension in the string is 'T' . If the energy of vibrations of the string is (pi^(2)a^(2)T)/(etaL) . Find eta

A string of length l is fixed at both ends and is vibrating in second harmonic. The amplitude at anti-node is 2 mm. The amplitude of a particle at distance l//8 from the fixed end is

A string, of length L, clamped at both ends is vibrating in its first overtone mode. Answer the following questions for the moment the string looks flat (a) Find the distance between two nearest particles each of which have half the speed of the particle having maximum speed. (b) How many particles in the string have one eighth the speed of the particle travelling at highest speed?

A standing wave exists in string of length 150 cm fixed at both ends. The displacement amplitude of a point at a distance of 10 cm from one of ends if 5sqrt(3)mm . The distance between two nearest points, within the same loop having the same displacement amplitude of 5sqrt(3) is 10 nm. The maximum displacement amplitude of the particle in the string is,:

A string of length L is fixed at both ends . It is vibrating in its 3rd overtone with maximum amplitude a. The amplitude at a distance L//3 from one end is

A uniform string of length l, fixed at both ends is vibrating in its 2nd overtone.The maximum amplitude is 'a' and tension in string is 'T', if the energy of vibration contained between two consecutive nodes is K/8 (a^2pi^2T)/l then 'K' is :

A2Z-WAVES AND ACOUSTICS-Vibration Of String
  1. Two wires are fixed in a sanometer. Their tension are in the ratio 8:1...

    Text Solution

    |

  2. A string is rigidly tied at two ends and its equation of vibration is ...

    Text Solution

    |

  3. Fundamental frequency of sonometer wire is n. If the length, tension a...

    Text Solution

    |

  4. A string of length 2 m is fixed at both ends. If this string vibrates ...

    Text Solution

    |

  5. Four wires of identical lengths, diameters and materials are stretched...

    Text Solution

    |

  6. A guitar string of length L has a fundamental frequency. Where should ...

    Text Solution

    |

  7. The first overtone of a stretched string of given length is 320 Hz. Th...

    Text Solution

    |

  8. A wire having a linear mass density 5.0xx10^(3) kg//m is stretched bet...

    Text Solution

    |

  9. A wire of length l having tension T and radius r vibrates with fundame...

    Text Solution

    |

  10. The equation for the vibration of a string fixed at both ends vibratin...

    Text Solution

    |

  11. A violin string oscillating in its fundamental mode, generates a sound...

    Text Solution

    |

  12. The length of the wire shown in Fig. Between the pulley and fixed supp...

    Text Solution

    |

  13. Two wires are kept tight between the same pair of supports. The tensio...

    Text Solution

    |

  14. the fundamental frequency of a sonometer wire of length is f(0).A brid...

    Text Solution

    |

  15. A string is fixed at both ends. The tension in the string and density ...

    Text Solution

    |

  16. Two vibrating string of same length, same cross section area and stret...

    Text Solution

    |

  17. What is the percentage change in the tension necessary in a somometer ...

    Text Solution

    |

  18. A string of length 1.5 m with its two ends clamped is vibrating in fun...

    Text Solution

    |

  19. A chord attached about an end to a vibrating fork divides it into 6 lo...

    Text Solution

    |

  20. Two parts of sonometer wire, divided by a movable knife edge differ in...

    Text Solution

    |