ï»¿ A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion:Â (a = maximum displacement of the particle, v = speed of the particle,Â T = time-periodof motion).Rule out the wrong formulas on dimensional grounds. from Physics Units and Measurement Class 11 Manipur Board

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A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion:
Â
(a = maximum displacement of the particle, v = speed of the particle,Â T = time-period
of motion).
Rule out the wrong formulas on dimensional grounds.

The displacement y has the dimension of length.

Therefore, the formula for it should also have the dimension of length.

Trigonometric functions are dimensionless and their arguments are also dimensionless.

Based on these considerations now checking each formula dimensionally, we have

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Define unit.

The quantity used as a standard of measurement is called unit.

Example: Unit of time is second.

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Define physical quantity.

A measurable quantity in terms of which laws of Physics can be expressed is called physical quantity.

The result of a measurement of a physical quantity is expressed by a number accompanied by a unit.

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What is the need of measurement?

To get the complete knowledge of any physical quantity, measurement is needed. Measurement of any physical quantity involves comparison with a certain basic, arbitrarily chosen, internationally accepted reference standard called unit. Knowledge without measurement is incomplete and unsatisfactory.
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Give four examples of physical quantities.

Examples of Physical quantitie are force, mass, density and power.
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What is measurement?

Measurement is the process of attaching a numeric value to an aspect of a natural phenomenon. Measurement is making the quantitative knowledge of a physical quantity.
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