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A new system of units is proposed in wh...

A new system of units is proposed in which unit of mass is `alpha kg,` unit of length `beta` m and unit of time `lambda s.` How much will 5 J measure in this new system ?

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To solve the problem of converting 5 Joules into the new system of units defined by `alpha kg` for mass, `beta m` for length, and `lambda s` for time, we will follow these steps: ### Step 1: Understand the dimensional formula of energy The energy (in Joules) has a dimensional formula given by: \[ [E] = M L^2 T^{-2} \] where \(M\) is mass, \(L\) is length, and \(T\) is time. ...
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