1.

Give an example of (a) a physical quantity which has a unit but no dimensions (b) a physical quantity which has neither unit nor dimensions (c) a constant which has a unit (d) a constant which has no unit.

Answer»

Solution :PLANE angle `theta=(l)/(r)` RADIAN
its unit is radian but `[theta]=M^(0)L^(0)T^(0)`
(b) Strain `=(Deltal)/(l)=("Change in length")/("origianl length")`
It has neither unit nor dimensions
(C) GRAVITATIONAL constant.
`[G]=6.67xx10^(-11)(N*m^(2))/(kg^(2))`
(d) Reynold.s number is a constant which has no unit.


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