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  • 1 calorie = 4.2 J , where   But in a new system unit of mass equals to&nbs

1 calorie = 4.2 J , where 1 J=1 k g m^{2} s^{-2} 

But in a new system unit of mass equals to \alpha kg . The unit of length \beta m and the unit of time \gamma Sec . Then 1 calorie has a magnitude of 

Option: 1

4.2 \alpha \beta ^2\gamma ^{-2}


Option: 2

4.2 \alpha ^{-1}\beta ^{-2}\gamma ^2


Option: 3

4.2 \alpha \beta \gamma


Option: 4

4.2 \alpha ^{-1}\beta ^{-1}\gamma ^{-1}


Answers (1)

best_answer

n_{2}=n_{1}\left [ \frac{M_{1}}{M_{2}} \right ]^{a}\left [ \frac{L_{1}}{L_{2}} \right ]^{b}\left [ \frac{T_{1}}{T_{2}} \right ]^{c}

 

 n_1 u_2 = n_2 u_2

4.2 kg m^2 s^{-2} = n_2 (\alpha kg ) (\beta m)^2 (\gamma s)^{-2}

n_2 = \frac{4.2 }{\alpha \beta ^2\gamma ^{-2}}= 4.2 \alpha ^{-1}\beta ^{-2}\gamma ^2

 

Posted by

himanshu.meshram

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