Home
Class 11
PHYSICS
A horizontal stretched string, fixed at ...

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, `y(x,t)=(0.01m)sin[(62.8m^(-1))x]cos[628s^(-1))t]`. Assuming `pi=3.14`, the correct statements (s) is (are)

A

The number of node is 5

B

The length of the string is 0.25 m

C

The maximum displacement of the midpoint of the string. From its equilibrium position is 0.01 m

D

The fundamental frequency is 100 Hz

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN|Exercise Part-1(Exercise-05)[A]|28 Videos
  • SEMICONDUCTORS

    ALLEN|Exercise Part-3(Exercise-4)|51 Videos

Similar Questions

Explore conceptually related problems

A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y(x,t)=(0.01 m) sin[(62.8 m^(-1)x] cos[(628 s^(-1))t] . Assuming p = 3.14 , the correct statement(s) is (are)

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

The equation for the vibration of a string, fixed at both ends vibrating in its third harmonic, is given by y = (0.4 cm) sin[(0.314 cm^-1) x] cos[f(600pis^-1)t] .(a) What is the frequency of vibration ? (b) What are the positions of the nodes ? (c) What is the length of the string ? (d) What is the wavelength and the speed of two travelling waves that can interfere to give this vibration ?

The equation for the vibration of a string fixed at both ends vibrating in its second harmonic is given by y=2sin(0.3cm^(-1))xcos((500pis^(-1))t)cm . The length of the string is :

the equation for the vibration of a string fixed both ends vibration in its third harmonic is given by y = 2 cm sin [(0.6cm ^(-1)x)xx ] cos [(500 ps^(-1)t] What is the position of node?

A string is clamped at both the ends and it is vibrating in its 4^(th) harmonic. The equation of the stationary wave is Y=0.3 sin(0.157x) cos(200pi t) . The length of the string is : (All quantities are in SI units.)

A particle osciallates with SHM according to the equation x= (2.5 m ) cos [ ( 2pi t ) + (pi)/(4)] . Its speed at t = 1.5 s is

The vibrations of a string fixed at both ends are described by the equation y= (5.00 mm) sin [(1.57cm^(-1))x] sin [(314 s^(-1))t] (a) What is the maximum displacement of particle at x = 5.66 cm ? (b) What are the wavelengths and the wave speeds of the two transvers waves that combine to give the above vibration ? (c ) What is the velocity of the particle at x = 5.66 cm at time t = 2.00s ? (d) If the length of the string is 10.0 cm, locate the nodes and teh antinodes. How many loops are formed in the vibration ?

The equation of a travelling wave on a string is y = (0.10 mm ) sin [31.4 m^(-1) x + (314s^(-1)) t]

A particle is subjected to two simple harmonic motion along x and y-directions according to equations x = 4sin 100pi t and y = 3sin 100pit Choose the correct statement –

ALLEN-WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
  1. In a wave motion y = asin (kx - omega t),y can represent :-

    Text Solution

    |

  2. Standing wave can be produced :

    Text Solution

    |

  3. A horizontal stretched string, fixed at two ends, is vibrating in its ...

    Text Solution

    |

  4. One end of a taut string of length 3 m along the x-axis is fixed at x ...

    Text Solution

    |

  5. Two plane harmonic sound waves are expressed by the equations y(1)(x...

    Text Solution

    |

  6. Two plane harmonic sound waves are expressed by the equations y(1)(x...

    Text Solution

    |

  7. Two plane harmonic sound waves are expressed by the equations. y(1)(...

    Text Solution

    |

  8. Two trains A and B moving with speeds 20m//s and 30m//s respectively i...

    Text Solution

    |

  9. Two trains A and B are moving with speeds 20 m/s and 30 m/s, respectiv...

    Text Solution

    |

  10. Two trains A and B moving with speeds 20m//s and 30m//s respectively i...

    Text Solution

    |

  11. The air column in a pipe closed at one end is made to vibrated in its ...

    Text Solution

    |

  12. A long wire PQR is made by joining two wires PQ and QR of equal radii....

    Text Solution

    |

  13. A 3.6m long vertical pipe resonates with a source of frequency 212.5 H...

    Text Solution

    |

  14. A boat is travelling in a river with a speed 10m//s along with stream ...

    Text Solution

    |

  15. Two narrow cylindrical pipes A and B have the same length. Pipe A is o...

    Text Solution

    |

  16. In a resonance tube experiment to determine the speed of sound in air,...

    Text Solution

    |

  17. A string with tension T and mass per unit length mu is clamped down at...

    Text Solution

    |

  18. An observer standing on a railway crossing receives frequencies 2.2 kH...

    Text Solution

    |

  19. A transverse wave travelling in a string produce maximum transverse ve...

    Text Solution

    |

  20. A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends...

    Text Solution

    |