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The velocity of a body moving in viscous medium is given by V=p/q(1-e^qt) where t is time p and q are constants. Then dimension of p is?
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The velocity of a body moving in viscous medium is given by V=p/q(1-e^...
Given

The velocity of a body moving in viscous medium is given by V=p/q(1-e^qt) where t is time p and q are constants.


To find

Dimension of p


Solution

Dimension of velocity (V) is distance/time.


Dimension of time (t) is T.


Dimension of e^qt is [e^qt].


Let's break down the given equation:


  • V = p/q(1-e^qt)

  • V = p/q - p/q * e^qt



Now, let's determine the dimensions of each term:


  • p/q has the dimension of distance/time

  • e^qt is dimensionless



Therefore, the dimension of p/q * e^qt is also distance/time.


So, the dimension of the velocity (V) is distance/time = [L]/[T].


Therefore, the dimension of p/q must be [L²]/[T].


Final Answer

The dimension of p is [L²]/[T].
Community Answer
The velocity of a body moving in viscous medium is given by V=p/q(1-e^...
[LT^-2], i.e. acceleration
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The velocity of a body moving in viscous medium is given by V=p/q(1-e^qt) where t is time p and q are constants. Then dimension of p is?
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