Home
Class 11
PHYSICS
Two canoes are 10 m apart on a lake. Eac...

Two canoes are 10 m apart on a lake. Each bobs up and down with a period of 4.0 s. when one canoe is at its highest point, the other canoe is at its lowest point. Both canoes are always within a single cycle of the waves determine the speed of the wave.

A

`2.5 m//s`

B

`5 m//s`

C

`40 m//s`

D

`4 m//s`

Text Solution

Verified by Experts

The correct Answer is:
B

Frequency of wave ` = 1//4 Hz`.
Wavelength of wave , `lambda = 2 xx 10 = 20 m`
Velocity of wave `f lambda = 5 m//s`
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Multiple|26 Videos
  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Assertion - Reasoning|6 Videos
  • SUPERPOSITION AND STANDING WAVES

    CENGAGE PHYSICS|Exercise Subjective|24 Videos
  • SOUND WAVES AND DOPPLER EFFECT

    CENGAGE PHYSICS|Exercise Integer|16 Videos
  • THERMODYNAMICS

    CENGAGE PHYSICS|Exercise 24|1 Videos

Similar Questions

Explore conceptually related problems

Two small boats are 10m apart on a lake. Each pops up and down with a period of 4.0 seconds due to wave motion on the surface of water. When one boat is at its highest point, the other boat is its lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is:

A simple harmonic oscillator at the point x=0 genrates a wave on a rope. The oscillator operates at a frequency of 40.0 Hz and with an amplitude of 3.00 cm. the rope has a linear mass density of 50.0 g//m and is strectches with a tension of 5.00 N. (a) determine the speed of the wave. (b) find the wavelength. (c ) write the wave function y(x,t) for the wave, Assume that the oscillator has its maximum upward displacement at time t=0. (d) find the maximum transverse acceleration at time t=0. (d) find the maximum transverse of points on the rope. (e) in the discussion of transverse waves in this chapter, the force of gravity was ignored. is that a reasonable assumption for this wave? explain.

A cork floating on the pond water executes a simple harmonic motion, moving up and down over a range of 4 cm. The time period of the motion is 1 s. at t=0 , the cork is at its lowest position of oscillation, the position and velocity of the cork at t=10.5s , would be

A projectile is thrown from a point O on the ground at an angle 45^0 from the vertical and with a speed 5 sqrt(2) m/s . The projectile at highest point of its tracjectory splits into two equal parts. One part falls vertically down to the ground 0.5s after the splitting. The other part t seconds after the splitting falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s^2 . The value of t is

A projectile is thrown from a point O on the ground at an angle 45^0 from the vertical and with a speed 5 sqrt(2) m/s . The projectile at highest point of its tracjectory splits into two equal parts. One part falls vertically down to the ground 0.5s after the splitting. The other part t seconds after the splitting falls to the ground at a distance x meters from the point O. The acceleration due to gravity g = 10 m/s^2 . The value of x is

A shell is fired from a cannon with a speed of 100 m//s at an angle 60^(@) with the horizontal (positive x -direction). At the highest point of its trajectory, the shell explodes in to two equal fragments. One of the fragments moves is the speed of the other fragment at the time of explosion.

The bob of a simple pendulum of length 1 m has mass 100 g and a speed of 1.4 m/s at the lowest point in its path. Find the tension in the stirng at this instant.

A shell is fired from a cannon with a velocity v (m//s) at an angle theta with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. on, of the pieces retraces its path to the cannon and the speed, (in m//s ) of the other piece immediately after the explosion is

CENGAGE PHYSICS-SUPERPOSITION AND STANDING WAVES-Single Correct
  1. A standing wave can be produced by combining

    Text Solution

    |

  2. Regarding an open organ pipe , which of the following is correct?

    Text Solution

    |

  3. Two canoes are 10 m apart on a lake. Each bobs up and down with a per...

    Text Solution

    |

  4. A resonance occurs with a tuning fork and an air column of size 12 cm....

    Text Solution

    |

  5. In a resonance tube experiment, the first two resonance are observed a...

    Text Solution

    |

  6. A sound consists of four frequencies : 300 Hz , 600 Hz,1200 Hz and 240...

    Text Solution

    |

  7. A sound increases its decibel reading from 20 "to" 40 dB. This means t...

    Text Solution

    |

  8. To decrease the fundamental frequency of a stretched string fixed at b...

    Text Solution

    |

  9. If the sound waves produced by the tuning fork can be expressed as y =...

    Text Solution

    |

  10. A glass tube of length 1.5 m is filled completely with water , the wat...

    Text Solution

    |

  11. A wave equation is represented as r = A sin [ alpha (( x - y)/(2)) ...

    Text Solution

    |

  12. A wave representing by the equation y = a cos(kx - omegat) is suerpose...

    Text Solution

    |

  13. A tunig fork whose frequency as given by mufacturer is 512 Hz is being...

    Text Solution

    |

  14. A sounding fork whose frequency is 256 Hz is held over an empty measur...

    Text Solution

    |

  15. A 40 cm long brass rod is dropped one end first onto a hard floor but ...

    Text Solution

    |

  16. A metal bar clamped at its centre resonates in its fundamental mode to...

    Text Solution

    |

  17. A string under a tension of 100 N , emitting its fundamental mode , gi...

    Text Solution

    |

  18. The equation for the fundamental standing sound wave in a tube that is...

    Text Solution

    |

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

    Text Solution

    |

  20. A stiff wire is bent into a cylinder loop of diameter D. It is clamped...

    Text Solution

    |