Home
Class 12
PHYSICS
Given that in (alpha//pbeta )=alphaz//K(...

Given that in `(alpha//pbeta )=alphaz//K_(B)theta` where p is pressure, z is distance, `K_(B)` is Boltzmann constant and `theta` is temperature, the dimension of `beta` are (useful formula Energy`=K_(B)xx` temperature)
(A) `L^(0)M^(0)T^(0) " " (B)L^(1)M^(-1)T^(2) " " (C)L^(2)M^(0)T^(0)" "(D)L^(-1)M^(1)T^(-2)`

A

`[L^(0)M^(0)T^(0)]`

B

`[L^(1)M^(-1)T^(2)]`

C

`[L^(2)M^(0)T^(0)]`

D

`[L^(-1)M^(1)T^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 1 : Concept Builder (Topicwise)(Topic 2 : Errors in Measurements and Significant Figures)|28 Videos

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|28 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|26 Videos

Similar Questions

Explore conceptually related problems

In the releation p=(alpha)/(beta) e^(-)(az)/(ktheta) , where p is the pressure z is distance k is Boltzmann constant and theta is the temperature the dimensional formula beta will be

In the relation, P=alpha/beta e^((alphaZ)/(ktheta))P is pressure, Z is distance, k is Boltzmann constant and theta is the temperature. The dimensional formula of beta will be-

In the equation ((1)/(pbeta))=(y)/(k_(B)T) , where p is the pressure, y is the distance, k_(B) is Boltzmann constant and T is the tempreture. Dimensions of beta are

Pressure depends on distance as, P = (alpha)/(beta)exp((-alpha z)/(k theta)) , where alpha, beta are constants, z is distance, k is Boltzmann's constant and theta is temperature. The dimensions of beta are :

p=(alpha)/(beta) exp (-(alphaz)/(K_(B))theta) theta rarr Temperature " " P rarr Pressure K_(B) rarr "Boltzman constant " Z rarr "Distance" Dimension of (alpha//beta) is -

Dimension of sqrt((in_(0))/(mu_(0))) are (A) [M L^(2) T^(-3) A^(-2)] (B) [M^(-1) L^(-2) T^(3) A^(2)] (C) [M^(2)L^(2)T^(-3) A^(2)] (D) [M^(-1) L^(2) T^(3) A^(2)]

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

Dimensions of epsilon_(0) are M^(-1)L^(-3)T^(4)A^(2) M^(0)L^(-3)T^(3)A^(3) M^(-1)L^(-3)T^(3)A M^(-1)L^(-3)TA^(2)

[L^(-1)M^(1)T^(-2)] are the dimensions of

DISHA PUBLICATION-PHYSICAL WORLD, UNITS AND MEASUREMENTS-Exercise - 1 : Concept Builder (Topicwise)(Topic 3 : Dimensions of Physical Quantities)
  1. Which physical quantities have the same dimension?

    Text Solution

    |

  2. The dimensions of physical quantity X in the equation Force =(X)/("Den...

    Text Solution

    |

  3. Which of the following units denotes the dimension (ML^(2))/(Q^(2)), w...

    Text Solution

    |

  4. Which of the following has the same dimensions?

    Text Solution

    |

  5. The dimensions of voltage in terms of mass (M), length (L) and time (T...

    Text Solution

    |

  6. If L denotes the inductance of an inductor through which a current i i...

    Text Solution

    |

  7. Whether a given relation / formula is correct or not can be checked on...

    Text Solution

    |

  8. If p=(RT)/(V-b)e^(-alphaV//RT) , then dimensional formula of alpha is ...

    Text Solution

    |

  9. Time (T), velocity (3) and angular momentum (h) are chosen as fundamen...

    Text Solution

    |

  10. suppose the kinetic energy of a body oscillating with amplitude A and ...

    Text Solution

    |

  11. The dimensions of universal gas constant is

    Text Solution

    |

  12. The velocity v of a particle at time t is given by v=at+b/(t+c), where...

    Text Solution

    |

  13. In the formula X = 3Y Z^(2) , X and Z have dimensions of capacitance...

    Text Solution

    |

  14. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  15. If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c)...

    Text Solution

    |

  16. If the time period t of the oscillation of a drop of liquid of density...

    Text Solution

    |

  17. Given as : h=(2 S cos theta)/(r rhog) where S is the surface tension o...

    Text Solution

    |

  18. The volume V of water passing and any point of a uniform tube during t...

    Text Solution

    |

  19. Given that in (alpha//pbeta )=alphaz//K(B)theta where p is pressure, z...

    Text Solution

    |

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

    Text Solution

    |