Dimensional analysis can be applied to
check the dimensional consistency of equations
deduce relations among the physical quantities
to convert from one system of units to another
All of these
Get Answer
None of these
(b)
Two quantities A and B have same dimensions which mathematical operation given below is physically meaningful?
(a) Only those physical quantities can be added or subtracted which have same dimensions.
Distance travelled by a particle at any instant ' ' can be represented as . The dimensions of are
(b) In is added to time . Therefore, dimensions of are those of time.
An expression for a dimensionless quantity is given by where and are constants, is distance; is Boltzmann constant and is the temperature. Then the dimensions of will be :
(c)
Now, MLT
If where velocity and is time The dimensional formula of and are
Dimensionally also dimensionally
and are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation holds true. Then which of the combination
is not a meaningful quantity?
(d) Dimension of dimension of (C)
Hence is not possible.
The displacement of a body at a particular second is given by the expression . The dimensional formula of in this equation is
(b) For the equation to be dimensionally correct, the dimensions of LHS and RHS should be same.
In Vander Waals equation is pressure, is volume, is universal gas constant and is temperature. The ratio of constants is dimensionally equal to
Write the dimensions of in the relation , where is the energy, is the displacement and is time
(b) Here, and have same dime nsions
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