Check the correctness of formula v= u + at
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this is correct v=u +at
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Given equation :- v = u + at
We know,
- dimensional formula of v = (M⁰LT⁻¹)
- dimensional formula of u = (M⁰LT⁻¹)
- dimensional formula of a = (M⁰LT⁻²)
- dimensional formula of t = (M⁰L⁰T)
→ LHS is the dimensional formula of v = (M⁰LT⁻¹)
→ RHS = dimensional formula of u + dimensional formula of a × dimensional formula of t
= (M⁰LT⁻¹) + (M⁰LT⁻²) × (M⁰L⁰T)
= (M⁰LT⁻¹) + (M⁰LT⁻¹)
= 2(M⁰LT⁻¹)
2 is a dimensionless constant, so LHS = RHS
⇒ Hence,the given relationship(equation) is dimensionally correct.
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