Home
Class 11
PHYSICS
Consider a function y=5.0e^((-25x^(2)-...

Consider a function
`y=5.0e^((-25x^(2)-9t^(2)-30xt))`
(a) Does this represent a travelling wave?
(b) What is direction of propagation of the wave?
(c) Find wave speed.
(d) Sketch the wave at t = 0

Text Solution

Verified by Experts

The correct Answer is:
(a) Yes
(b) Negative x direction
(c) 0.6 unit
(4) `(##IJA_PHY_V01_C13_E01_004_A01##)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A wave front is represented by the plane y=5-x Find the direction of propagation of wave.

A wave is represented by the equation : y=a sin (0.01x-2t) where a and x are in cm . velocity of propagation of wave is

If a traveling wave is represented by y=(1)/(1+(2t+3x)) find the direction of wave and velocity.

Give below are some functions of x and t to represesnt the displacement of an elastic wave. (i) y=5cos (4x) sin (20t) (ii) y=4sin(5x-t//2)+3cos(5x-t//2) (iii) y=10cos[(252-250)pit]cos[(252+2500pit] (iv) y=100cos(100pit+0.5x) State which of these represent (a) a travelling wave along-x direction (b) a stationary wave (c) beats (d) a travelling wave along +x direction Give reasons for your answers.

A wave is represented by the equation y=0.5 sin (10 t-x)m . It is a travelling wave propagating along the + x direction with velocity

The electric field of a plane electromagnetic wave in vacuum is represented by vecE_x=0 , vecE_y=0.5 cos[2pixx10^8(t-x/c)], vecE_z=0 (a) What is the direction of propagation of electromagnetic wave? (b) Determine the wavelength of the wave. (c) Compute the component of associated magnetic field

The electric field of a plane electromagnetic wave in vacuum is represented by vecE_x=0 , vecE_y=0.5 cos[2pixx10^8(t-x/c)], vecE_z=0 (a) What is the direction of propagation of electromagnetic wave? (b) Determine the wavelength of the wave. (c) Compute the component of associated magnetic field.

The wave function of a pulse is given by y=(5)/((4x+6t)^(2)) where x and y are in metre and t is in second :- (i) Identify the direction of propagation (ii) Determine the wave velocity of the pulse

The transvers displacement of a string (clamped at its both ends) is given by y(x,t) = 0.06 sin ((2pi)/(3)s) cos (120 pit) Where x and y are in m and t in s . The length of the string 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the funcation represent a travelling wave or a stational wave ? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength. Frequency and speed of each wave ? Datermine the tension in the string.

ARIHANT-WAVE MOTION-Level 2
  1. Consider a function y=5.0e^((-25x^(2)-9t^(2)-30xt)) (a) Does this ...

    Text Solution

    |

  2. A long taut string is plucked at its centre. The pulse travelling o...

    Text Solution

    |

  3. A sinusoidal harmonic wave is propagating along a string stretched alo...

    Text Solution

    |

  4. A circular loop of radius R is made of a perfectly elastic wire and is...

    Text Solution

    |

  5. Two waves y(1)=a sin (pi/2 x-omegat) and y(2)=a sin (pi/2 x+omegat+pi/...

    Text Solution

    |

  6. Two sine waves of same frequency and amplitude, travel on a stretched ...

    Text Solution

    |

  7. (i) A sinusoidal wave is travelling along positive x direction and the...

    Text Solution

    |

  8. (i) Two sinusoidal wave are given as y(1)=a(1) sin (omegat+kx+delta) a...

    Text Solution

    |

  9. The figure shows y (transverse displacement) vs x (position) graph for...

    Text Solution

    |

  10. A string in a guitar is made of steel (density 7962 kg//m^(3)). It is ...

    Text Solution

    |

  11. A long taut string is connected to a harmonic oscillator of frequency ...

    Text Solution

    |

  12. A transverse harmonic wave is propagating along a taut string. Tension...

    Text Solution

    |

  13. A small steel ball of mass m = 5g is dropped from a height of 2.0 m on...

    Text Solution

    |

  14. Three travelling waves are superimposed. The equations of the wave are...

    Text Solution

    |

  15. A sinusoidal wave having wavelength of 6 m propagates along positive x...

    Text Solution

    |

  16. A string SQ is connected to a long heavier string at Q. Linear mass de...

    Text Solution

    |

  17. The figure shows the snapshot at time t = 0 of a transverse pulse trav...

    Text Solution

    |

  18. A uniform string of length 6.5 m is subjected to a tension of 40 N. Ma...

    Text Solution

    |

  19. A longitudinal harmonic wave is travelling along positive x direction....

    Text Solution

    |

  20. A sinusoidal wave y=a sin ((2pi)/lambda x-omegat) is travelling on a s...

    Text Solution

    |

  21. A standing wave y = A sin kx .cos omegat is established in a string fi...

    Text Solution

    |