Home
Class 11
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

The correct Answer is:
C
`[k]=[rho][v^(2)]=[ML^(-3)][L^(2)T^(-2)]=ML^(-1)T^(-2)`
`=("Force")/("Area")=` Modulus of elasticity
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-03|1 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exercise-04|1 Videos

  • MISCELLANEOUS

    ALLEN|Exercise Exersice -05(B)|20 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 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.

ALLEN-MISCELLANEOUS-Exercise-02
  1. If the unit of length be doubled then the numerical value of the unive...

    Text Solution

    |

  2. A dimensionless quantity

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The van der wasl's equation of a gas is (P+(aT^(2))/V) V^(c)=(RT+b). W...

    Text Solution

    |

  6. Two quantities A and B are related by A//B=m where m is linear mass de...

    Text Solution

    |

  7. A physical quantity x can dimensionally represented in terms of M, L a...

    Text Solution

    |

  8. If the velocity of light c, gravitational constant G and Planck's cons...

    Text Solution

    |

  9. A calorie is a unit of heat energy and it equals about 4.2 J, where 1J...

    Text Solution

    |

  10. Angle between the vectors vec(a)=-hat(i)+2hat(j)+hat(k) and vec(b)=xha...

    Text Solution

    |

  11. Three forces P,Q and R are acting at a point in the plane. The angle b...

    Text Solution

    |

  12. Let vec(a), vec(b), vec(c) be vectors of length 3, 4, 5 respectively. ...

    Text Solution

    |

  13. Let vec(a), vec(b), vec(c) are three unit vector such that vec(a)+vec(...

    Text Solution

    |

  14. If the sum of two unit vectors is a unit vector,then find the magnitud...

    Text Solution

    |

  15. X- component of vec(a) is twice of its Y- component. If the magnitude ...

    Text Solution

    |

  16. If vec(a) is a vector and x is a non-zero scalar, then

    Text Solution

    |

  17. The two vectors vec(A) and vec(B) are drawn from a common point and ve...

    Text Solution

    |

  18. Which of the following expressions are meaningful?

    Text Solution

    |

  19. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

    Text Solution

    |

  20. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |