Home
Class 12
PHYSICS
The Bernoulli's equation is given by P+1...

The Bernoulli's equation is given by `P+1/2 rho v^(2)+h rho g=k`. Where P= pressure, `rho`= density, v= speed, h=height of the liquid column, g= acceleration due to gravity and k is constant. The dimensional formula for k is same as that for:

A

Velocity gradient

B

Pressure gradient

C

Modulus of elasticity

D

Thrust

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 3 ( Section-A Previous Year Problems )|29 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 3 ( Section-B Previous Year Problems )|10 Videos

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTION - D :- ERRORS )|19 Videos

  • UNIT & DIMENSIONS

    MOTION|Exercise Exercise - 4 (Level - II) (PREVIOUS YEAR JEE ADVANCED)|10 Videos

  • VECTOR

    MOTION|Exercise Exercise - 3|18 Videos

Similar Questions

Explore conceptually related problems

According to Bernoulli's theorem (p)/(d) + (v^(2))/(2) + gh = constant is ( P is pressure, d is density, h is height, v is velocity and g is acceleration due to gravity)

Given as : h=(2 S cos theta)/(r rhog) where S is the surface tension of liquid, r is the radius of capillary tube. rho is the density and g is acceleration due to gravity then dimensional formula for S is:

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.

The height of liquid column in capillary tube is h the radius of capillary tube is r. rho is the density of liquid , g is acceleration due to gravity and theta is angle of contact . The surface tension of the liquid is ,

The pressure at a depth h in a liquid of density d is given by pressure = __ , where g is the acceleration due to gravity.

A formula is given as P=(b)/(a)sqrt(1+(k.theta.t^(3))/(m.a)) where P = pressure, k = Boltzmann's constant, theta= temperature, t= time, 'a' and 'b' are constants. Dimensional formula of 'b' is same as

A storage tower supplies water, as shown in the figure. If P_(0) is the atmospheric pressure h = height of water level, g = acceleration due to gravity, rho= density and v = velocity of flow in the horizontal pipe at B, then the pressure at B is -

A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to gravity). Let R be the radius of its largest horizontal section. A small disturbance causes the drop to vibrate with frequency v about its equilibrium shape. By dimensional analysis the ratio (v)/(sqrt(sigma//rho R^(3))) can be (Here sigma is surface tension, rho is density, g is acceleration due to gravity, and k is arbitrary dimensionless constant)–

The absolute pressure at a depth h below the surface of a liquid of density rho is [Given P_(a) = atmospheric pressure, g = acceleration due to gravity]

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.

MOTION-UNITS AND DIMENSIONS, BASIC MATHEMATICS -Exercise - 2 (Objective Problems )
  1. Which of the following system of units is not based on units of mass, ...

    Text Solution

    |

  2. Which of the following quantity is unitless ?

    Text Solution

    |

  3. The dimensional formula of wave number is

    Text Solution

    |

  4. Which of the following does not have the dimensions of force?

    Text Solution

    |

  5. Which of the following is incorrect statement

    Text Solution

    |

  6. A dimensionless quantity

    Text Solution

    |

  7. A unitless quantity

    Text Solution

    |

  8. Which of the following is incorrect

    Text Solution

    |

  9. The Bernoulli's equation is given by P+1/2 rho v^(2)+h rho g=k. Where ...

    Text Solution

    |

  10. When a wave transverses in a medium, the displacement of a particle lo...

    Text Solution

    |

  11. The method of dimensional analysis can be used to derive which of the ...

    Text Solution

    |

  12. If the error in the measurement of radius of a sphere in 2% then the e...

    Text Solution

    |

  13. An iceberg of density 900kg//m^(3) is floating in water of density 100...

    Text Solution

    |

  14. A vernier calipers has 1mm marks on the main scale. It has 20 equal di...

    Text Solution

    |

  15. The diameter of a cylinder is measured using a Vernier callipers with...

    Text Solution

    |

  16. The percentage errors in the measurement of length and time period of ...

    Text Solution

    |

  17. A physical quantity A is related to four observable a,b,c and d as fol...

    Text Solution

    |

  18. The values of two resistors are R(1)=(6+-0.3)kOmega and R(2)=(10+-0.2)...

    Text Solution

    |

  19. The mass and volume of a body are found to be 5.00 pm 0.05 kg " and "...

    Text Solution

    |

  20. The VC shown in the diagram has zero error in it. It is given that 9 m...

    Text Solution

    |