Home
Class 11
PHYSICS
In the equation : y=a sin (omega t - kx)...

In the equation : `y=a sin (omega t - kx),` t and x stand for time and distnace respectively. Obtain the dimensional formula for `omega` and k.

Text Solution

Verified by Experts

An angle is a dimensionless quantity,
`therefore [omegat]=1 or [omega]=(1)/([t])=(1)/(T)=T^(-1)`
`[kx]=1 or [k]=(1)/([x])=(1)/(L)=L^(-1)`
Promotional Banner

Topper's Solved these Questions

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (VI. Conceptual Questions.)|20 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (I. Multiple Choice Questions.)|152 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (IV. Long Answer Questions.)|8 Videos
  • MOTION OF SYSTEM OF PARTICLES AND BODIES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWER (NUMERICAL PROBLEMS)|60 Videos
  • OSCILLATIONS

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS ( CONCEPTUAL QUESTIONS.)|24 Videos

Similar Questions

Explore conceptually related problems

In a system of units, if force (F), acceleration (a) and time (T) are taken as fundamental units then the dimensional formula of energy is ...............

The velocity of a body is given by the equation v= b//t + ct^(2) + dt^(3) . Find the dimensional formula for b.

If V-velocity. K - kinetic energy and T - time are chosen as the fundamental units, then what is the dimensional formula for surface tension?

If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:

Integrate sin x sin(cosx) w.r.t. x.

The equation of a wave is y = 0.1 sin (100 pi t - kx) where x , y are in metres and t in seconds . If the velocity of the wave is 100 m/s , then the value of k is

The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos (omegat) where X = displacement at time t omega = frequency of oscillation Which one of the following graphs shows correctly the variation a with it?

If wave y=A cos(omega t + kx) moving alongs x-axis the shapes of pulse at t=0 and t=2s.

PREMIERS PUBLISHERS-NATURE OF PHYSICAL WORLD AND MEASUREMENT-OTHER IMPORTANT QUESTIONS & ANSWERS (V. Numerical Problems.)
  1. Dimensions of resistance in an electrical circuit, in terms of dimensi...

    Text Solution

    |

  2. Find the dimensions of a/b in the equation. F=asqrtx+bt^(2) where F is...

    Text Solution

    |

  3. In the equation : y=a sin (omega t - kx), t and x stand for time and d...

    Text Solution

    |

  4. A planet moves around the sun in nearly circular orbit. Its period of ...

    Text Solution

    |

  5. The escape velocity v of a body depends upon (i) the acceleration due ...

    Text Solution

    |

  6. The density of material is "0.6 g cm"^(-3) express it in S.I. units.

    Text Solution

    |

  7. Convert an acceleration of "3 kmh"^(-2) into cms^(-2).

    Text Solution

    |

  8. Calculate the angle of (i) 1^(@)" (degree)" in radius. "Use "360^(...

    Text Solution

    |

  9. Calculate the angle of (ii) 1' (minute of arc or arc min) in radius....

    Text Solution

    |

  10. Calculate the angle of (iii) 1'' (second of arc or arc second) in ra...

    Text Solution

    |

  11. The angular diameter of the sun is 1920''. If the distance of the sun ...

    Text Solution

    |

  12. Which of the following measurements is most precise?

    Text Solution

    |

  13. The length of a rod as measured in an experiment was found to be 3.48,...

    Text Solution

    |

  14. A body travels uniformly a distance of (13.8 pm 0.2)m in a time (4.0 p...

    Text Solution

    |

  15. The percentage errors in the measurement of length and time period of ...

    Text Solution

    |

  16. In the formula, N=-D[(n(2)-n(1))/(x(2)-x(1))], D - Diffusion coefficie...

    Text Solution

    |

  17. The resistance R=(V)/(I), where V=100 pm 5V and I=10pm0.2A. Find the p...

    Text Solution

    |

  18. The percentage of error in the measurement of mass and speed are 2% an...

    Text Solution

    |

  19. If the length and time period of an oscillating pendulum have errors o...

    Text Solution

    |

  20. The heat dissipated in a resistance can be determined by measuring res...

    Text Solution

    |