Home
Class 11
PHYSICS
The dimensions of gamma in the relation ...

The dimensions of `gamma` in the relation `v = sqrt((gamma p)/(rho))` (where `v` is velocity, `p` is pressure , `rho` is density)

A

Dimensionless

B

`[LT^(-1)]`

C

`[ML^(-1) T^(-2)]`

D

`[ML^(-3)]`

Text Solution

Verified by Experts

The correct Answer is:
A

`V = sqrt((gamma p)/(rho))`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-II (H.W)|20 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise ILLUSTRATION|49 Videos
  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise More than One Answer Questions|9 Videos
  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos
  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

Check the dimensional consistency of the relation upsilon = (1)/(I) sqrt((P)/(rho)) where I is length, upsilon is velocity, P is pressure and rho is density,

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.

The corrected Newton's formula for velocity of sound in air is v=sqrt((gamma P)/(rho)) , where P is pressure and rho is density of air, gamma =1.42 for air. At normal temperature ane pressure, velocity of sound in air =332m//s . Read the above passage and answer the following question: (i) How do the sound horns protect us from the oncoming vehicles ? ltbr. (ii) How does a sand scorpion fing its prey? (iii) Will the velocity of sound in air change on changing the pressure alone?

According to Laplace's formula, the velocity (V) of sound in a gas is given by v=sqrt((gammaP)/(rho)) , where P is the pressure and rho is the density of the gas. What is the dimensional formula for gamma ?

According to Laplace's formula, the velocity (V) of sound in a gas is given by v=sqrt((gammaP)/(rho)) , where P is the pressure and rho is the density of the gas. What is the dimensional formula for gamma ?

If V = sqrt(gammap)/(rho) , then the dimensions of gamma will be (where p is pressure, rho is density and V is velocity) :

Show that the following are the dimensions of energy. (i) mc^2 where m=mass and c=velocity of light (ii) (mP)/rho where P=pressure , rho =density of liquid and m=mass (iii)mB where m=magnetic moment and B =magnetic induction field.

The velocity of water waves (v) may depend on their wavelength lamda , the density of water rho and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as v^(2)=kg^(x)lamda^(x)rho^(y) . The value of x is (Here k is a constant).

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

The density of a metal at normal pressure is rho . Its density when it is subjected to an excess pressure p is rho' . If B is the bluk modulus of the metal, then find the ratio rho'//rho .

NARAYNA-UNITS AND MEASUREMENTS-LEVEL-I (H.W)
  1. The value fo (9.270)/(41) with due regard to significant figures is.....

    Text Solution

    |

  2. When 57.986 is rounded off to 4 significant figures, then it becomes....

    Text Solution

    |

  3. If 'L' is length of sample pendulum and 'g' is acceleration due to gra...

    Text Solution

    |

  4. The demensional formula for the product of two physical quantites P an...

    Text Solution

    |

  5. The fundamental physical quantites that have same dimesions in the di...

    Text Solution

    |

  6. The eta is rigidity modulus, r is the radius , l is the length and C ...

    Text Solution

    |

  7. The acceleration of an object vareis with time as a = AT^(2) + BT + C ...

    Text Solution

    |

  8. If eta = (A)/(B) log (Bx + C) is dimensionally true, then (here eta is...

    Text Solution

    |

  9. If the velocity (v) of a body in time 't' is given by V = AT^(3) + BT^...

    Text Solution

    |

  10. In the relation V = ( pi)/( 8) ( P r^(4))/( nl) , where the letters ha...

    Text Solution

    |

  11. If the acceleration due to gravity is 10ms^(-2) and unit of length and...

    Text Solution

    |

  12. The magnitude of Energy is 100J What will be its value if the units o...

    Text Solution

    |

  13. If the units of mass and velocity are increased by two times then the ...

    Text Solution

    |

  14. SI unit and CGS unit of quantity vary by 10^(7) times, it is ............

    Text Solution

    |

  15. The initial velocity of a particle is given by u^(2) = v^(2) - 2gx whe...

    Text Solution

    |

  16. The eqaction which is dimensionally correct among the following is

    Text Solution

    |

  17. The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (whe...

    Text Solution

    |

  18. If frequency F, velocity V , and density D are considered fundamental ...

    Text Solution

    |

  19. If momentum (p), Mass (M), Time (T) are chosen as fundamental quantit...

    Text Solution

    |

  20. If pressure P, velocity V and time T are taken as fundamental physical...

    Text Solution

    |