Question

the velocity V of a particle depends upon the time T according to the equation dimensional analysis practice problems determine the units of a b c and d What physical quantities they represent or have SI unit​

Answer 1

Answer:

Explanation:

Two quantities can be added or subtracted if they have the same units. The result obtained by addition or subtraction has the same unit as that of the quantities being added or subtracted.

First Part:

By the above logic:

Unit of a = same as that of velocity = m/s

Unit of bt = same as that of velocity 

Therefore, unit of b =  =

Unit of d = same as that of time = sec

Unit of  = same as that of velocity

Therefore, unit of c = unit of velocity * unit of (d+t)

unit of (d+t) = unit of t = unit of d = sec

Hence unit of c = unit of velocity *  unit of time = m

Second Part:

Unit of a = Unit of Force

Therefore, unit of a = 

Unit of  = Unit of force

Therefore, unit of b = 

Unit of a/b = Unit of a / Unit of b

=  

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