Which equation is dimensionally correct?

Which equation is dimensionally correct?

Dimensionally Correct

For example, in the equation a=bc+(1/2)xy, “a” must have the same dimensions as the product “bc”, and the product “(1/2)xy” must also have the same dimensions as “a” or “bc”.

Which of the following is dimensionally correct specific heat?

Therefore, specific heat capacity is dimensionally represented as [M0 L2 T-2 K-1].

Which of the following is dimensionally correct moment of force?

The dimensional formula for the moment of force is [M1L2T−2].

Which one of the following is dimensionally incorrect?

$ {u^2} = 2a(gt – 1) $ where $ g $ must be the acceleration due to gravity. Now, from the first principle stated above, option C must be dimensionally incorrect because it has the subtraction of dimensionless constant with a quantity with dimension. Hence, the correct option is option C.

WHAT IS a in dimensional formula?

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. Dimensional equation.

Is dimensionally correct equation is correct?

Solution : A dimensionally correct equation may or may not be correct. For example , ` s = ut + at^(2)` is dimensionally correct , but not correct actually. <br> A dimensionally incorrect equation may be correct also . For example , `s = u + ( a)/( 2) ( 2n -1)` is a correct equation , but not correct dimensionally.

Which of the following is the correct dimensional analysis of force?

Therefore, Force is dimensionally represented as M1 L1 T-2.

What is the dimension of temperature?

The dimensional formula of temperature is \[[{M^0}{L^0}{T^0}{K^1}]\] . Entropy – Entropy in thermodynamics is defined as an extensive property (a property that depends on the quantity of matter in the system) which determines all the possible configuration a system can have.

What are the dimension of force Mcq?

Or, F = [M] × [L1 T-2] = M1 L1 T-2. Therefore, Force is dimensionally represented as M1 L1 T-2.

How can a dimensionally incorrect equation be correct?

For example , ` s = ut + at^(2)` is dimensionally correct , but not correct actually. <br> A dimensionally incorrect equation may be correct also . For example , `s = u + ( a)/( 2) ( 2n -1)` is a correct equation , but not correct dimensionally.

Which of the following equation for force is correct?

For a constant mass, force equals the mass times acceleration, i.e. F = m x a.

What are the 11 dimensions?

What is 11th dimension? The 11th dimension is a characteristic of space-time that has been proposed as a possible answer to questions that arise in superstring theory. The theory of superstrings involves the existence of nine dimensions of space and one dimension of time for a total of 10 dimensions.

How do you find dimensional?

Measure any two sides (length, width or height) of an object or surface in order to get a two-dimensional measurement. For example, a rectangle that has a width of 3 feet and height of 4 feet is a two-dimensional measurement. The dimensions of the rectangle would then be stated as 3 ft. (width) x 4 ft.

How can a dimensionally correct equation be incorrect?

A dimensionally incorrect equation may be correct. A dimensionally equation does not involves the number and if the methods of the dimensions are applied to check the correctness of the equation it does not involves the pure numbers and dimensionless constant.

Is mv2 MGH dimensionally correct?

The equation mv²= mgh is dimensionally consistent.
As the unit for mass is kilogram, for g i.e. acceleration due to gravity is m/s² and for h is metre. Therefore the equations is dimensionally consistent, but it is not necessary that the equation is the exact one.

What are the dimension of Force Mcq?

Is energy a dimension?

Or, E = [M] × [L1 T-1]2 = M1 L2 T-2. Therefore, energy is dimensionally represented as M1 L2 T-2.

What are the 7 base 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.

Is F MA dimensionally correct?

So, Dimensional equation of acceleration is, So, Dimensional formulas of both sides are equal, Hence F= ma is Dimensionally correct.

Which of the following quantities is dimensionless Mcq?

Correct option b StrainExplanation :Therefore strain is a dimensionless quantity.

What does dimensionally mean?

1. A measure of spatial extent, especially width, height, or length. 2. often dimensions Extent or magnitude; scope: a problem of alarming dimensions.

Is dimensionally correct equation is always correct?

A dimensionally correct equation need not be actually correct, but a dimensionally incorrect equation is necessarily wrong.

What are the 3 formulas for force?

Formula for Force

  • a = v/t.
  • F = mv/t.
  • F = p/t = dp/dt.

How many types of force are there in class 8?

The three types of Non-Contact forces are Magnetic force, Electrostatic force and Gravitational force. Let’s understand the definitions of each of these non-contact forces as per Class 8 Force and Pressure.

What is the first dimension?

The first dimension, as already noted, is that which gives it length (aka. the x-axis). A good description of a one-dimensional object is a straight line, which exists only in terms of length and has no other discernible qualities.

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