Dimensional formula (equation) (Definition) : An equation,
which gives the relation between fundamental units
What is the dimensional formula definition?
Hint – Dimension formula is
the expression for the unit of a physical quantity in terms of the fundamental quantities
. The fundamental quantities are mass (M), Length (L) and time (T). A dimensional formula is expressed in terms of power of M, L and T. … These will specify the nature of the unit and not its magnitude.
What is dimensional equation and formula?
Dimensional Formula is the
expression which shows how and which of the base quantities represent the dimensions of a physical quantity
. Dimensional Equation is an equation obtained by equating a physical quantity with its dimensional formula.
How do you write dimensional equations?
- The dimensional formula of power is written as, M1 L2 T-3.
- As, Work (J) = N × m = M1 L1 T-2 × L.
- Therefore, the dimensional formula of work = M1 L2 T-2 . . . . ( …
- Or, P = [M1 L2 T-2] × [T-1] = M1 L2 T-3.
- Therefore, power is dimensionally written as M1 L2 T-3.
What is dimensional equation explain with example?
Answer: The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is.
F = [M L T-2]
It's because the unit of Force is Netwon or kg*m/s2.
What is dimensional homogeneity example?
This simply means that, in any valid physical equation,
the dimensions of both sides must be the same
. Thus, for example, if (mass)
n
appears on the left-hand side of the equation, it must also appear on the right-hand side; similarly for length, time, and temperature.
What is dimensional formula of area?
| Physical quantity Unit Dimensional formula | Area (length × breadth) m 2 L 2 | Boltzmann's constant JK – 1 ML 2 T – 2 θ – 1 | Bulk modulus (ΔP × (V/ΔV)) Nm – 2 , Pa M 1 L – 1 T – 2 | Calorific value Jkg – 1 L 2 T – 2 |
|---|
What are the 7 fundamental dimensions?
In total, there are seven primary dimensions. Primary (sometimes called basic) dimensions are defined as independent or fundamental dimensions, from which other dimensions can be obtained. The primary dimensions are:
mass, length, time, temperature, electric current, amount of light, and amount of matter.
What is difference between dimension and dimensional formula?
Dimensions of the physical quantity are the power to which the base quantities are raised to represent that quantity. Dimensional formula of any physical quantity is an expression which represents how and which of the base quantities are included in that quantity.
What is the dimensional formula of time?
The dimensional formula of the time period is given by
[M
0
L
0
T
1
]
. Or, T = √[M
0
L
1
T
0
] × [M
0
L
1
T
– 2
]
– 1
= √[T
2
] = [M
0
L
0
T
1
]. Therefore, the time period is dimensionally represented as [M
0
L
0
T
1
].
What is the dimensional equation of distance?
Hence,
$[{M^0} {L^1} {T^ {0}}] $
is the dimensional formula of distance travelled in ${n^ {th}} $ second by a particle moving with uniform acceleration.
How many dimensions are there?
The world as we know it has
three dimensions of space
—length, width and depth—and one dimension of time. But there's the mind-bending possibility that many more dimensions exist out there. According to string theory, one of the leading physics model of the last half century, the universe operates with 10 dimensions.
What are dimensional constants?
Hint:
The physical quantities which have dimensions and have a fixed value
are called dimensional constant. To get the answer for this question, get the dimension of each of the terms in the options using their formula.
What is dimensional formula of a physical quantity?
Such an expression, for a physical quantity in terms of the base quantities is called the dimensional formula. The dimensional formula of a quantity is given by.
Q=[MaLbTc]
What is dimensional homogeneity principle?
The principle of homogeneity states that
the dimensions of each the terms of a dimensional equation on both sides are the same
. Using this principle, the given equation will have the same dimension on both sides.
What is homogeneity equation?
As said in the introduction, dimensional homogeneity is
the quality of an equation having quantities of same units on both sides
. A valid equation in physics must be homogeneous, since equality cannot apply between quantities of different nature.
