Question

check the correctness of the equation v=u+at by dimensional analysis. where v, u, a & t represent final velocity, initial velocity, acceleration and time respectively​

Answer 1

Answer:

The dimensional formula of v=(M°LT^-1)

The dimensional formula of u=(M°LT^-1)

The dimensional formula of a=(M°LT^-2)

dimensional formula of t=(M°L°T)

Here the dimensions of every term in the given physical relation are the same, hence the given physical relation is dimensionally correct.

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Answer 2

Answer:

Here u represents the initial velocity, v the final velocity, a the uniform acceleration, and t the time.

The dimensional formula of u is [M

0

LT

−1

].

The dimensional formula of v is [M

0

LT

−1

].

The dimensional formula of at is [M

0

LT

−2

][T]=[M

0

LT

−1

].

Here the dimensions of every term in the given physical relation are the same, hence the given physical relation is dimensionally correct.