Home
Class 12
PHYSICS
If discharge rate is given by V=(pi Pr^(...

If discharge rate is given by `V=(pi Pr^(4))/(8 mu l)` then find out the dimensions of `mu` by taking velocity (v), time (T) and mass (M) as fundamental units.

Text Solution

AI Generated Solution

To find the dimensions of \(\mu\) from the given equation for discharge rate, we start with the formula: \[ V = \frac{\pi P R^4}{8 \mu L} \] ### Step 1: Rearranging the Equation We can rearrange the equation to solve for \(\mu\): ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Obtain the dimensions of linear momentum and surface tension in terms of velocity (v), density (rho) and frequency (nu) as fundamental units.

Velocity v is given by v=at^(2)+bt+c , where t is time. What are the dimensions of a, b and c respectively?

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

Velocity is given by v=4t(1-2t), then find time at which velocity is maximum

In the relation V = ( pi)/( 8) ( P r^(4))/( nl) , where the letters have their usual meanings , the dimensions of V are

If alpha=F/v^(2) sin beta t , find dimensions of alpha and beta . Here v=velocity, F= force and t= time.

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permittivity is:

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimension of permittivity is:

If mass M, area A and velocity V are chosen as fundamental units, then the dimension of coefficient of viscosity will be:

ALLEN-BASIC MATHS-UNIT & DIMENSIONS
  1. Find the SI unit of (i) area, (ii) density, and (iii) momentum.

    Text Solution

    |

  2. Write dimensional formula of mass and speed.

    Text Solution

    |

  3. Convert 1 newton (SI unit of force) into dyne (CGS unit of force)

    Text Solution

    |

  4. The acceleration due to gravity is 9.8ms^(-2).Give its value in ft s^(...

    Text Solution

    |

  5. Check the accuracy of the relation T=sqrt((L)/(g)) for a simple pendul...

    Text Solution

    |

  6. It is known that the time of revolution T of a satellite around the e...

    Text Solution

    |

  7. Find dimensional formula: (i) (dx)/(dt) (ii) m(d^(2)x)/(dt^(2)) (iii...

    Text Solution

    |

  8. If alpha=F/v^(2) sin beta t, find dimensions of alpha and beta. Here v...

    Text Solution

    |

  9. In system called the star system we have 1 star kilogram =10^(20) kg. ...

    Text Solution

    |

  10. The position x of a particle at time t is given by x = (V(0))/(a) (1 -...

    Text Solution

    |

  11. If the velocity (V) , acceleration (A) , and force (F) are taken as fu...

    Text Solution

    |

  12. The number of particles is given by n = -D(n(2) - n(1))/( x(2) - x(1))...

    Text Solution

    |

  13. The dimensions of 1/2 epsilon(0)E^(2) (epsilon(0)= permittivity of fre...

    Text Solution

    |

  14. Force F and density d are related as F=(alpha)/(beta+sqrtd), Then find...

    Text Solution

    |

  15. If discharge rate is given by V=(pi Pr^(4))/(8 mu l) then find out the...

    Text Solution

    |

  16. In an imeganary experiment, the Yound's modulus Y of a material is giv...

    Text Solution

    |

  17. The dimension of the quantity 1/epsilon0 e^2/(hc) is (e charge of el...

    Text Solution

    |

  18. Which of the following does not posses the same dimensions as pressure...

    Text Solution

    |

  19. Dimension of b in the equation (P+(a))/(V^(2))(V-b)=RT will be

    Text Solution

    |