Home
Class 12
PHYSICS
In the relation x = cos (omegat + kx), ...

In the relation `x = cos (omegat + kx)`, the dimension(s) of `omega` is/are

A

`[M^(0)LT]`

B

`[M^(0)LT^(0)]`

C

`[M^(0)L^(0)T^(-1)]`

D

`[M^(0)LT^(-1)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 20

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 1 (Physics & Chemistry)|50 Videos

  • PRACTICE SET 22

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Physics & chemistry|1 Videos

Similar Questions

Explore conceptually related problems

In the relation y = r sin ( omega t - kx) , the dimensions of omega//k are

In the relation y=acos(omegat-kx) , the dimensional formula for k is

STATEMENT-1: In the expression y=A sin (kx-omegat) , dimensions of to must be reciprocal of that of t. STATEMENT 2 The expression (kx-omegat) must be dimensionless.

In the relation, y =rsin(w + kx),the dimensional formula for kx or cot is same as

In the equation y= a sin (omega t+ kx) t and x stand for time and distance respectively. What are the dimensions of omega//k ?

Find the dimenions of (c )/(axxb) in the relation : y = a cos omegat +bxxt - c sqrtt, where y is displacement, t is time and omega is agnular velocity.

A point mass oscillates along the x- acis according to the law x = x_(0)cos(omegat - pi//4) if the acceleration of the particle is written as, a = A cos(omega + delta) , then :

A point mass oscillates along the x- acis according to the law x = x_(0)cos(omegat - pi//4) if the acceleration of the particle is written as, a = A cos(omega + delta) , then :

Assertion: In y = A sin (omega t - kx),(omega t - kx) is dimensionless. Reason: Because dimension of omega = [M^(0)L^(0)T] .

(a) the displacement of a particle is given by s - a sin (omega t = kx) , where t is in second and x is in meter. Find the dimensions of omega and k . (b) The velocity of a praticle is given by v = v_(0) e^(-lambda t) , where t is time. Find the dimensions of v_(0) and lambda .

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 21-PAPER 1 (PHYSICS & CHEMISTRY)
  1. The distance of two points on the axis of a magnet from its centre is ...

    Text Solution

    |

  2. Two masses m1 and m2 (m1gtm2) are connected by massless flexible and i...

    Text Solution

    |

  3. When a ferromagnetic material is heated to temperature above its Curie...

    Text Solution

    |

  4. A rectangular vessel when full of water takes 10 minutes to be emptied...

    Text Solution

    |

  5. A layer of glycerine of thickness 1 mm is present between a large surf...

    Text Solution

    |

  6. Two coils of self-inductance L(1) and L(2) are placed closed to each o...

    Text Solution

    |

  7. A new flashlight cell of e.m.f. 1.5 volts given a current of 15 amps. ...

    Text Solution

    |

  8. In a transformer, the number of turns in primary coil and secondary co...

    Text Solution

    |

  9. Two coherent monochromatic light beams of intensities I and 4 I are su...

    Text Solution

    |

  10. In the relation x = cos (omegat + kx), the dimension(s) of omega is/a...

    Text Solution

    |

  11. For the stationary wave y=4sin((pix)/(15))cos(96pit), the distance bet...

    Text Solution

    |

  12. When monochromatic light is replaced by white light in Fresnel's bipri...

    Text Solution

    |

  13. Wavelength of a 1 ke V photon is 1.24 xx 10^(-9) m. What is the freque...

    Text Solution

    |

  14. A physical quantity Q is found ot depend on observables x, y and z obe...

    Text Solution

    |

  15. Why is refractivce index in a transparent medium greater than one ?

    Text Solution

    |

  16. A disc is rotating with angular velocity omega. If a child sits on it,...

    Text Solution

    |

  17. A voltmeter having resistance of 50 × 10^(3) ohm is used to measure th...

    Text Solution

    |

  18. Ground state energy of H-atom is -13.6 eV. The energy needed to ionise...

    Text Solution

    |

  19. A plano convex lens of refractive index 1.5 and radius of curvature 30...

    Text Solution

    |

  20. The energy gap between conductionband and valence band is of the order...

    Text Solution

    |