Units and Measurements

Question: A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = ${b^\alpha }{c^\beta }/{d^\gamma }{e^\delta }$. If the maximum errors in the measurement of b, c, d and e are ${b_1}$%, ${c_1}$%, ${d_1}$% and ${e_1}$%, then the maximum error in the value of a determined by the experiment is



1) (${b_1}\, + \,{c_1}\, + \,{d_1}\, + \,{e_1}$)%
2) (${b_{1\,}}\, + \,{c_1}\, - \,{d_1}\, - \,{e_1}$)%
3) ($\alpha {b_1}\, + \,\beta {c_1}\, - \,\gamma {d_1}\, - \delta {e_1}$)%
4) ($\alpha {b_1} + \,\beta {c_1}\, + \,\gamma {d_1}\, + \,\delta {e_1}$)%
Solution: Explanation: explanation
Errors-in-Measurement

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