The velocity v of a particle at a time t is given by v=at+b/t+c. Where a,b,c are constants . What are the dimensions of a,b & c ?
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ANSWER:-Dear friend,The dimensions of a, b and c are [LT^-2, [L], [LT^-1] respectively.
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v=at+b/t+c
We know that, Two entities can only be added if their dimensions are same,
So Dimensions of [at] = Dimensions of [b/t] = Dimensions of [c] = Dimensions of [v]
=> [aT] = [v] = [LT⁻¹]=> [a] = [LT⁻²] , Dimensions of [a]
=>[bT⁻¹] = [LT⁻¹]=> [b] = [L], Dimensions of [b]
=> [c] = [LT⁻¹] , Dimensions of [c]
#Be Brainly✌️
We know that, Two entities can only be added if their dimensions are same,
So Dimensions of [at] = Dimensions of [b/t] = Dimensions of [c] = Dimensions of [v]
=> [aT] = [v] = [LT⁻¹]=> [a] = [LT⁻²] , Dimensions of [a]
=>[bT⁻¹] = [LT⁻¹]=> [b] = [L], Dimensions of [b]
=> [c] = [LT⁻¹] , Dimensions of [c]
#Be Brainly✌️
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