Home
Class 11
PHYSICS
If the displacement y of a particle is y...

If the displacement y of a particle is y =A sin (pt+qx) then dimensional formula of pq is

A

L

B

`LT^(-1)`

C

`T^(-1)`

D

`L^(-1)T^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise UNITS AND MEASUREMNET (MEASUREMENT OF ERRORS)|66 Videos

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise UNITS AND MEASUREMNET (SIGNIFICANT FIGURES AND ROUNDING OFF)|34 Videos

  • RIVISION EXERCISE

    AAKASH SERIES|Exercise UNITS AND MEASUREMNET (DERIVING THE EQUATIONS)|22 Videos

  • RAY OPTICS

    AAKASH SERIES|Exercise EXERCISE III|64 Videos

  • ROTATIONAL DYNAMICS

    AAKASH SERIES|Exercise PRACTICE SHEET (ADVANCED) Integer Type Questions|7 Videos

Similar Questions

Explore conceptually related problems

A book with many printing errors contains four different expressions for the displacement 'y' of a particle executing simple harmonic motion. The wrong formula on dimensional basis (i) y=A sin (2pi t//T) (ii) y=A sin (Vt) (iii) y=A//T sin (t//A) (iv) y=(A)/(sqrt(2))(sin omega t+cos omega t)

The equation for the displacement of a particle executing SHM is y={5 sin pi t}cm . Find the velocity at 3cm from the mean position, acceleration after 0.5 s after leaving the mean position.

A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain peroidic motion : (a) y = asin2pi t//T (b) y=asinvt ("c") y=(a//T) sin t//a (d) y=(a//sqrt2) (sin 2pi t//T + cos 2pit//T) (a = maximum displacement of the particle, v=speed of the particle. T=time-period of motion). Rule out the wrong formulas on dimensional grounds)

AAKASH SERIES-RIVISION EXERCISE-UNITS AND MEASUREMNET (PRINCIPLE OF HOMOGENEITY)
  1. If eta =(A)/(B)log (Bx + C) is dimensionally true, then (here h is the...

    Text Solution

    |

  2. In the equation ((1)/(Pbeta))=(y)/(K(B)T) when P is the pressure y is ...

    Text Solution

    |

  3. If the displacement y of a particle is y =A sin (pt+qx) then dimension...

    Text Solution

    |

  4. The thrust developed by a rocket-motor is given by F= mv + A(P1 -P2) ...

    Text Solution

    |

  5. If the time period t of the oscillation of a drop of liquid of density...

    Text Solution

    |

  6. If M is the magnetic moment, B is the magnetic induction and T is the ...

    Text Solution

    |

  7. A quantity X is given by epsi0 L(Delta V)/(Delta t) where epsi0 is ...

    Text Solution

    |

  8. Pressure depends on distance as P =(alpha)/(beta) "exp" (-(alphaz)/(kt...

    Text Solution

    |

  9. The length of a pendulum is measuredas 1,01 m and time for 30 oscillat...

    Text Solution

    |

  10. A force F is given by F = at +bt^2, where t' is time. What are dimensi...

    Text Solution

    |

  11. The number of particles crossing unit area perpendicular to x-axis in ...

    Text Solution

    |

  12. Turpentine oil is flowing through a capillary tube of length l and rad...

    Text Solution

    |

  13. If n is the rigidity modulus, r is the radius, l is the length and C i...

    Text Solution

    |

  14. If the depression d at the end of a loaded bar is given by d = (Mgl^...

    Text Solution

    |

  15. Dimensional formula of the product of the two physical quantities P an...

    Text Solution

    |

  16. The potential energy of a particle varies with distance x from a fixed...

    Text Solution

    |

  17. If eta = A/B log(Bx+C) is dimensionally true, then (here h is the co...

    Text Solution

    |

  18. In the equation ((1)/(P beta)) = (y)/(kB T) , when P is the pressure,...

    Text Solution

    |

  19. If the displacement y of a particle is y=A sin(pt+qx), then dimensiona...

    Text Solution

    |

  20. The thrust developed by a rocket-motor is given by F= mv + A(P1 -P2) ...

    Text Solution

    |