Question: Which Of The Following Is Dimensionally Correct?

Are all dimensionally correct equations numerically correct?

No all dimensionally correct equations are not numerically correct because in the use of dimensions numerical constants are said to be dimensionless and thus we cannot specify if there is the need of numerical constants in the equations..

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 is pressure and its units?

PascalPressure/SI unitsFor pressure, the SI system’s basic unit is Pascal (Pa), which is N/m² (Newton per square meter, while Newton is kgm/s²). To say that in a formula: Pascal is a very small pressure unit and for example the standard atmospheric pressure is 101325 Pa absolute.

What is the relation between pressure force and area?

Pressure is a measure of how much force is acting upon an area. Pressure can be found using the equation pressure = force / area. Therefore, a force acting over a smaller area will create more pressure.

Is heat a derived quantity?

Other quantities, called derived quantities, are defined in terms of the seven base quantities via a system of quantity equations….Derived quantityenergy, work, quantity of heatNamejouleSymbolJExpression in terms of other SI unitsN·mExpression in terms of SI base unitsm2·kg·s-225 more columns

How do you check the correctness of an equation?

To check the correctness of physical equation, v = u + at, Where ‘u’ is the initial velocity, ‘v’ is the final velocity, ‘a’ is the acceleration and ‘t’ is the time in which the change occurs. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by principle of homogeneity the given equation is dimensionally correct.

Which of the following is a derived quantity?

Derived quantities are quantities that are calculated from two or more measurements. They include area, volume, and density. The area of a rectangular surface is calculated as its length multiplied by its width. The volume of a rectangular solid is calculated as the product of its length, width, and height.

What does dimensional analysis mean?

Factor-Label MethodDimensional Analysis (also called Factor-Label Method or the Unit Factor Method) is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value. It is a useful technique.

Can a dimensionally incorrect equation may be correct?

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 current a derived quantity?

Fundamental quantities are those that doesn’t depend upon other physical quantities, but the formula (electric current=charge/time) clearly shows that electric current depends upon the physical quantities charge and time. This makes the electric current a derived quantity.

Is V U at dimensionally correct?

The dimensional formula of u is [M0LT-1]. The dimensional formula of v is [M0LT-1]. … Here the dimensions of every term in the given physical relation are the same , hence the given phyical relation is dimensionally correct.

What is dimensionally correct?

An equation in which each term has the same dimensions is said to be dimensionally correct. All equations used in any science should be dimensionally correct. The only time you’ll encounter one which isn’t is if there is an error in the equation.

What is the dimensional formula of velocity?

The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. In simple words velocity can be explained as speed in specific direction. Mathematically, Velocity = displacement / time . Dimensional Formula of Displacement = M0L1T0.

Is this dimensionally correct?

Answer 1: If an equation is dimensionally correct, it does not mean that the equation must be true. On the other hand, when the equation is dimensionally correct, the equation cannot be true. Dimensional analysis is a technique used to check whether a relationship is correct.

Is KG a derived unit?

The SI has special names for 22 of these derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m2), the SI derived unit of area; and the kilogram per cubic metre (kg/m3 or kg⋅m−3), the SI derived unit of density.

Which one of the following is dimensionally correct?

so, dimensionally, pressure = energy per unit volume. option (B) is correct. dimensionally, pressure ≠ force per unit volume.

What does pressure equal to?

Pressure is defined as force per unit area. It is usually more convenient to use pressure rather than force to describe the influences upon fluid behavior. The standard unit for pressure is the Pascal, which is a Newton per square meter.

Which pair of physical quantities does not have the same dimensional formula?

Answer Expert Verified (c) Tension and surface tension is the pair which have physical quantities not having the same dimentional formula…….

How do you know if an equation is dimensionally homogeneous?

An equation is said to be dimensionally homogeneous if all additive terms on both sides of the equation have the same dimensions.

Why is pressure equal in all directions?

Pressure at any point below the upper boundary of fluids, such as air and water, is uniform in all directions due to the fluid molecules being in constant motion and continually bumping into one another.

Which formula is dimensionally incorrect?

A dimensionally correct equation may or may not be correct. For example , s=ut+at2 is dimensionally correct , but not correct actually. A dimensionally incorrect equation may be correct also . For example , s=u+a2(2n-1) is a correct equation , but not correct dimensionally.