Home
Class 12
PHYSICS
The Bernoulli's equation is given by p+(...

The Bernoulli's equation is given by `p+(1)/(2)rhov^(2)+hrhog=k`. Where `p=` pressure, `r=` 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

0

B

4V

C

8V

D

10V

Text Solution

Verified by Experts

The correct Answer is:
B
Here potential decreases `2V` as we moves unit distance. Hence for point (1, 1, 1) from (0, 0, 0). The total potential decrease is `2+2+2=6V`. Hence the potential at poinr will `(10-6)=4V`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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:

If pressure P, velocity of light c and acceleration due to gravity g are chosen as fundamental units, then dimensional formula of mass is

If pressure P, velocity of light C and acceleration due to gravity g are chosen as fundamental units, then dimensional formula of mass is

According to Bernoullis theoram p/d + (v^2)/2 + gh = constant, dimensional formula of the constant.

The velocity of a freely falling body changes as g^ph^q where g is acceleration due to gravity and h is the height. The values of p and q are

The equation of state of some gases can be expressed as (P + (a)/(V^(2))) = (R theta)/(V) where P is the pressure V the volume, theta The temperature and a and b are constant .The dimensional formula of a is

Let us consider an equaiton (1)/(2)mv^2 = mgh, Where m is the mass of the body, upsilon its velocity, g is acceleration due to gravity and h is the height. Cheak whether this equation is dimensionally correct.

The van der Waal's equation of state for some gases can be expressed as : (P + (a)/( V^(2))) ( V - b) = RT Where P is the pressure , V is the molar volume , and T is the absolute temperature of the given sample of gas and a, b , and R are constants. In the above problem , the dimensional formula for RT is same as that of

In the relaction p = (a)/(beta) e ^((aZ)/(k theta ) , p is pressure Z is distance .k is Boltamann constant and theta is the teperations . The dimensional formula of beta will be

An equation is given as (p +(a)/(V^(2))) = b(theta)/(V) ,where p= pressure V= volumen and theta = absolute temperature. If a and b are constants, then dimensions of a will be

ALLEN-BASIC MATHS-Exercise-02
  1. The dimensions of the quantity vecE xx vecB, where vecE represents the...

    Text Solution

    |

  2. Write the dimensional formula of angular momentum. Is it scalar or vec...

    Text Solution

    |

  3. The Bernoulli's equation is given by p+(1)/(2)rhov^(2)+hrhog=k. Where ...

    Text Solution

    |

  4. When a wave travells in a medium, the displacement of a particle locat...

    Text Solution

    |

  5. Which of the following sysmte of units is not based on unit of mass, l...

    Text Solution

    |

  6. Which of the following is unitless quantity?

    Text Solution

    |

  7. The dimensional formula of wave number is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Which of the following is incorrect statement

    Text Solution

    |

  11. A dimensionless quantity

    Text Solution

    |

  12. A unitless quantity

    Text Solution

    |

  13. Which of the following is incorrect statement

    Text Solution

    |

  14. A pair of physical quantities having same dimensional formula is

    Text Solution

    |

  15. The fundamental unit which has same power in the dimenssional formula ...

    Text Solution

    |

  16. The ratio of one micron to one nanometre is

    Text Solution

    |

  17. The equation of a wave is given by Y = A sin omega ((x)/(v) - k), wher...

    Text Solution

    |

  18. Temperature can be expressed as a derived quantity in terms of any of ...

    Text Solution

    |

  19. The time dependence of physical quantity p is given by p = p(0) exp (-...

    Text Solution

    |

  20. The density of wood is 0.5 in CGS. system of units The corresponding v...

    Text Solution

    |