Home
Class 11
PHYSICS
Test dimensionally if the formula t= 2 p...

Test dimensionally if the formula `t= 2 pi sqrt(m/(F/x))` may be corect where t is time period, F is force and x is distance.

Text Solution

Verified by Experts

The dimension of force is `MLT^-2` Thus, the dimension of the right hand side is
` sqrt(M)/(MLT^(-2)//L) = sqrt((1)/(T^(-2)) =T`
The ledt fhnd side is time period and hence the dimension is T. The dimensions of both sides are equl and hence the formula may be correct.
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Question for short Answer|7 Videos
  • INTRODUCTION TO PHYSICS

    HC VERMA|Exercise Objective 1|6 Videos
  • HEAT TRANSFER

    HC VERMA|Exercise EXERCIESE|55 Videos
  • KINETIC THEORY OF GASES

    HC VERMA|Exercise All Questions|120 Videos

Similar Questions

Explore conceptually related problems

Find the dimensions of a/b in the equation. F=asqrtx+bt^(2) where F is force, x is distance and t is time.

Prove that period of function f(x)=sinx, x in R " is " 2pi.

If f: Rrarr[0,oo) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), then prove that f(x) is periodic and find its period.

Which of the following function is/are periodic? (a)f(x)={1,xi sr a t ion a l0,xi si r r a t ion a l (b)f(x)={x-[x]; 2n

Draw the graph of f(x) = cos pi[x] , where [*] represents the greatest integer function. Find the period of the function.

HC VERMA-INTRODUCTION TO PHYSICS-Exercises
  1. Test dimensionally if the formula t= 2 pi sqrt(m/(F/x)) may be corect ...

    Text Solution

    |

  2. Find the dimensions of a. linear momentum b. frequency and c. pr...

    Text Solution

    |

  3. Find the dimensions of a. angular speed omega angular acceleration...

    Text Solution

    |

  4. Find the dimensions of a. electric field E, magnetic field B and ...

    Text Solution

    |

  5. Find the dimensions of a. electric dipole moment p and b. magnetic ...

    Text Solution

    |

  6. The dimensions of Planck's constant are same as

    Text Solution

    |

  7. Find the dimensions of a. the specific heat capacity c, b. the coe...

    Text Solution

    |

  8. Taking foce, length and time to be the fundamental quantities find the...

    Text Solution

    |

  9. Suppose the acceleration due to gravity at a place is 10 m/s^2. Find i...

    Text Solution

    |

  10. The average speed of a snails is 0.020 miles/ hour and that of a leopa...

    Text Solution

    |

  11. The height of mercury column in a barometer in a Calcutta laboratory ...

    Text Solution

    |

  12. Express the power of a 100 wtt bulb in CGS unit.

    Text Solution

    |

  13. The normal duratioin of I.Sc. Physics practical period in Indian colle...

    Text Solution

    |

  14. The surface tension of water is 72 dyne/cm. convert it in SI unit.

    Text Solution

    |

  15. The kinetic energy K of a rotating body depends on its moment of inert...

    Text Solution

    |

  16. Theory of relativity reveals that mass can be converted into energy. T...

    Text Solution

    |

  17. Let I= current through a conductor, R= its resistance and V= potential...

    Text Solution

    |

  18. The frequency of vibration of string depends on the length L between t...

    Text Solution

    |

  19. Test if the following equations are dimensionally correct: (a) h=(2...

    Text Solution

    |

  20. Let x and a stand of distance is int(dx)/(sqrt(a^2-x^2)) = (1)/(alpha)...

    Text Solution

    |