Home
Class 11
PHYSICS
Test if following equation is equation i...

Test if following equation is equation is dimensionally correct `v=(1)/(2pi)sqrt((mgl)/(1))` where, v = frequency, I =moment of inertia, m= mass, l= lengh, g= acc. Due to gravity.

Text Solution

Verified by Experts

The given relation is correct.
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS|27 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise TOUGH AND TRICKY PROBLEMS|6 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • THERMAL PROPERTIES OF MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Test if the following equation is dimensionally correct: h= ((sS cos theta)/(r p g)) where h= height, S= surface tension, p= density, r=radius, and g= acceleration due to gravity.

Which of the following equations is dimensionally incorrect ? (E= energy, U= potential energy, P=momentum, m= mass, v= speed)

Check the accuracy of the relation v=(1)/(2l)sqert((T)/(m)) ,where v is the frequency, l is legth, T is tension and m is mass per unit legth of the string.

Solve the following quadratic equations equation by using formula. (v) m^2-1/2 m -3 =0

Test if the following equations are dimensionally correct: a h=(2Scostheta)/(rhorg) b. nu= sqrt(P/rho), c. V=(pi P r^4t)/(8etal), d. v=(1)/(2pi) sqrt(mgl)/(I) where h height, S= surface tension, rho = density, P= pressure, V=volume, eta = coefficient of viscosity, v= frequency and I = moment of inertia.

The time period of a compound pendulum is given by T=2pisqrt((I)/(mgl)) {:(,"where","I=moment of inertia about the centre of the suspension,"),(,,"g=acceleration due to gravity , m=mass of the pendulam"),(,,"l=distance of the centre of the gravity from the centre of the suspension."):}

Check the dimensional correctness of the following equations : (i) T=Ksqrt((pr^3)/(S)) where p is the density, r is the radius and S is the surface tension and K is a dimensionless constant and T is the time period of oscillation. (ii) n=(1)/(2l)sqrt((T)/(m)) , when n is the frequency of vibration, l is the length of the string, T is the tension in the string and m is the mass per unit length. (iii) d=(mgl^3)/(4bd^(3)Y) , where d is the depression produced in the bar, m is the mass of the bar, g is the accelaration due to gravity, l is the length of the bar, b is its breadth and d is its depth and Y is the Young's modulus of the material of the bar.

Chack the correctness of the relations. (i) escape velocity, upsilon = sqrt((2GM)/(R )) (ii) v =(1)/(2l) sqrt((T)/(m)) , where l is length, T is tension and m is mass per unit length of the string.

If solution set of the equation sin5 theta=(1)/(sqrt(2)) is {(8m+k)(pi)/(20)} where m in l, then k can be (k in I^(+))

Check by the method of dimensions, whether the folllowing relation are dimensionally correct or not. (i) upsilon = sqrt(P//rho) , where upsilon is velocity. P is prerssure and rho is density. (ii) v= 2pisqrt((I)/(g)), where I is length, g is acceleration due to gravity and v is frequency.

MODERN PUBLICATION-UNITS AND MEASUREMENT-PRACTICE PROBLEMS
  1. How will you convert SI unit of enregy (Joule) to CGS unit of energy (...

    Text Solution

    |

  2. It has been observed that velocity of ripple waves produced in water (...

    Text Solution

    |

  3. Find the units of mass and length if the unit of force is Mega Newton,...

    Text Solution

    |

  4. The depth x to which a bullet penetrates a human body depends on (i) c...

    Text Solution

    |

  5. Calculate the value of 1 J/sec in a system having 10g, 10cm and 1 min....

    Text Solution

    |

  6. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  7. The frequency (V) of an oscillating drop may depends upon radius (r ) ...

    Text Solution

    |

  8. Check the accuracy of relation P=puv^(-3) P is linear momontum, p is d...

    Text Solution

    |

  9. Check the accuracy of the relation eta= (pi)/(8)(Pr^4)/(lV) Here, P ...

    Text Solution

    |

  10. Find the dimensions of resistance in terms of mass, length, time and c...

    Text Solution

    |

  11. Check by the method of dimensions, the formula v = (1)/(lambda)sqrt((...

    Text Solution

    |

  12. Assuming that the critical velocity of flow of a liquid through a narr...

    Text Solution

    |

  13. The rotational K.E. of a body is given by (1)/(2) I omega^2. Use this ...

    Text Solution

    |

  14. If force (F) velocity (V) and time (T) are taken as fundamental units,...

    Text Solution

    |

  15. Test if following equation is equation is dimensionally correct v=(1)/...

    Text Solution

    |

  16. The distance covered by a particle in time t is given by x=at+bt^(2)+...

    Text Solution

    |

  17. Find the value of p in the relation tau = (YL^(p))/(cos theta) where...

    Text Solution

    |

  18. Find the dimensions of V in the equation y= A sin omega((x)/(V)-k)

    Text Solution

    |

  19. A physical quantity X is defined by the formula X=(IFv^(2))/(WL^(3))...

    Text Solution

    |

  20. IF in0 is electric permittivity of free space and E is electric field...

    Text Solution

    |