What are the dimensions of in the relation , where is the force, is the distance and is time?
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A physical quantity depends on quantities and as follows : , where and are constants. Which of the following do not have the same dimensions:
and
(d) Trigonometric functions are dimensionless.
Which of the following equations is dimensionally incorrect?
Where time, height, surface tension, angle, density, radius, acceleration due to gravity, volume, pressure, work done, permittivity, electric field, current density, length, torque
(a) (i) Volumetric flow rate (Poiseuille's law)
(ii)
(iii)
LHS
(iv) .
If force , length and time are assumed to be fundamental units; then the dimensional formula of the mass will be
(a) Let
Substituting the dimensions of
and and comparing both side, we get
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