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Dimensional Formulae and Dimensional Equation
Dimensional formula - It is the term which tells about the power with which a fundamental quantity is contained in a physical quantity. E.g., Dimensional formula of velocity is [LT - 1 ], that of density is [ML - ..
Dimensional formula
It is the term which tells about the power with which a fundamental quantity is contained in a physical quantity. E.g., Dimensional formula of velocity is [LT - 1 ], that of density is [ML - ..
Work done by a variable force (one dimensional case)
Let us consider a situation where the force is acting along the X-axis and the magnitude of the force is varying with position 'x'. Thus, as the ball moves, the magnitude of the work done by the force, on the ball, changes. The adjacent graph shows the plot of a one dimensional..
Let us consider a situation where the force is acting along the X-axis and the magnitude of the force is varying with position 'x'. Thus, as the ball moves, the magnitude of the work done by the force, on the ball, changes. The adjacent graph shows the plot of a one dimensional..Advantages of Dimensional Analysis
Advantages of Dimensional Analysis - Dimensional equations are used to validate the correctness of a physical equation. Dimensional equations are used to derive correct relationship between different physical quantities. Dimensional equations are used to conv..
Limitations of Dimensional Analysis
Limitations of Dimensional Analysis - Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the rela..
Non-dimensional constants
The constants having no dimensions. E.g., p , e, 1, 2,3 .e..
Head-on Elastic Collision [One Dimensional Elastic Collision]
It is that elastic collision in which the colliding bodies move along the same straight line before and after the collision. Consider two bodies A and B of masses m 1 and m 2 respectively, moving along the same straight line, in the same direction. Let be their respective velocities, such..
It is that elastic collision in which the colliding bodies move along the same straight line before and after the collision. Consider two bodies A and B of masses m 1 and m 2 respectively, moving along the same straight line, in the same direction. Let be their respective velocities, such..To check the dimensional correctness of a given physical relation
Example, To check the correctness of v = u + at, using dimensions Dimensional formula of final velocity v = [LT - 1 ] Dimensional formula of initial velocity u = [LT - 1 ] Dimensional formula of acceleration x time, at = [LT - 2 x T] = [LT..
Example, To check the correctness of v = u + at, using dimensions Dimensional formula of final velocity v = [LT - 1 ] Dimensional formula of initial velocity u = [LT - 1 ] Dimensional formula of acceleration x time, at = [LT - 2 x T] = [LT..Identify a three dimensional figure that matches with the views.
Identify a three dimensional figure that matches with the views. => Figure 1 or Figure 4 or Figure 2 or Figure 3..
Identify the right view of the three-dimensional figure.
Identify the right view of the three-dimensional figure. => Figure 2 or Figure 4 or Figure 3 or Figure 1..
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