Table of Contents
- 1 What are the dimension of A and B in the relation?
- 2 What are the dimensions of a and b/in Vander Waals equation?
- 3 What is the dimension of B?
- 4 What are the dimensions of a and b/in equation F at BT 2 where F is force and t is time?
- 5 What is the dimension of a B?
- 6 What is the dimensional formula of energy?
- 7 Can a formula be derived from a dimensional equation?
- 8 How are dimensional equations used to calculate physical quantities?
What are the dimension of A and B in the relation?
The dimensions of a and b in the relation F = a + bx, where, F is the force and x is the distance are a = [M L T^-2] , b = [M L^0 T^-2] a = [M L T^-2] , b = [M L T^-2]
What are the dimensions of a and b/in Vander Waals equation?
The Van der waals equation of ‘n’ moles of a real gas is (P+aV2)(V−b)=nRT. Where P is the pressure, V is the volume, T is absolute temperature, R is molar gas constant and a, b, c are Van der waal constants. The dimensional formula for ab is: (a) [ML8T−2](b) [ML6T−2](c) [ML4T−2](d) [ML.
What is the dimension of a B in the relation P at 2 BX?
M−1L0T−2.
What will be the dimensions of a B in the relation E BX 2 at?
Answer: The dimension of a and b are [M^-1T^1] and [ML^2T^-2].
What is the dimension of B?
Or, B = [M1 L1 T-2] × [I1 T1]-1 × [L T-1]-1 = [M1 L0 T-2 I-1].
What are the dimensions of a and b/in equation F at BT 2 where F is force and t is time?
Again, the dimension of $b{{t}^{2}}$ will be equal to the dimension of F. So, the dimension of a and b is $\left[ ML{{T}^{-3}} \right]$and $\left[ ML{{T}^{-4}} \right]$respectively. Hence, the correct answer is option A.
How do you find the dimension of A and B?
The dimensions of a/b in the equation P=a-t2/bx where P is pressure, x is distance and t is time are.
How do you find a and b/in Vander Waals equation?
Find out the unit and dimensions of the constants aandb in the van der Waal’s equation (P+aV2)(V-b)=Rt, where P is pressure , v is volume , R is gas constant , and T is temperature. Solution : We can add and subtract only like quantities.
What is the dimension of a B?
The dimensions of ab in the equation P=a−t2bx where P is the pressure , x is the distance and t is time are: A) M2LT−2. B)
What is the dimensional formula of energy?
Or, E = [M] × [L1 T-1]2 = M1 L2 T-2. Therefore, energy is dimensionally represented as M1 L2 T-2.
What is the dimension of B vector?
[M1L1T−2C]
What are the dimensions of LC?
[M0L0T2]
Can a formula be derived from a dimensional equation?
To find the dimension of constants in a given relation. Following are the limitations of the dimensional analysis. It does not give information about the dimensional constant. if a quantity depends on more than three factors having dimension, the formula cannot be derived.
How are dimensional equations used to calculate physical quantities?
The dimensional equations have got the following uses: 1 To check the correctness of a physical relation. 2 To derive the relation between various physical quantities. 3 To convert value of physical quantity from one system of unit to another system. 4 To find the dimension of constants in a given relation.
How is the dimensional formula for velocity defined?
We say that dimension of velocity are, zero in mass, 1 in length and -1 in time. The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions.
Do you have to have the same dimensions on both sides of the equation?
In any correct equation representing the relation between physical quantities, the dimensions of all the terms must be the same on both sides. Terms separated by ‘+’ or ‘–’ must have the same dimensions.