Test Academy | In two systems of relations among velocity, acceleration and force are respectively v₂ = (α²/ß)v₁, a₂ = αßa₁ anf F₂ = F₁/αß .If α and ß are constants then relations among mass, length and time in two systems are M₂ = αM₁/ß, L₂ = α²L₁/ß², T₂ = α³T₁/ß, M₂ = M₁/α²ß², L₂ = α³L₁/ß³, T₂ = T₁α/ß², M₂ = α³M₁/ß³, L₂ = α²L₁/ß², T₂ = αT₁/ß, M₂ = α²M₁/ß², L₂ = αL₁/ß², T₂ = α³T₁/ß³

Question

In two systems of relations among velocity, acceleration and force are respectively v₂ = (α²/ß)v₁, a₂ = αßa₁ anf F₂ = F₁/αß .If α and ß are constants then relations among mass, length and time in two systems are

Options :

M₂ = αM₁/ß, L₂ = α²L₁/ß², T₂ = α³T₁/ß
M₂ = M₁/α²ß², L₂ = α³L₁/ß³, T₂ = T₁α/ß²
M₂ = α³M₁/ß³, L₂ = α²L₁/ß², T₂ = αT₁/ß
M₂ = α²M₁/ß², L₂ = αL₁/ß², T₂ = α³T₁/ß³

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