A physical parameter can be determined by measuring the parameters b, c, d and e using the relation $a = b^{α} c^{β} / d^{γ} e^{δ}$ 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

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$(α b_{1} + β c_{1} + γ d_{1} + δ e_{1}) %$

$(b_{1} + c_{1} - d_{1} - e_{1}) %$

$(α b_{1} + β c_{1} - γ d_{1} - δ e_{1}) %$

$(b_{1} + c_{1} + d_{1} + e_{1}) %$

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$a = b^{α} c^{β} / d^{γ} e^{δ}$

So maximum error in is given by

${(\frac{Δ a}{a} \times 100)}_{m a x}$

$= α . \frac{Δ b}{b} \times 100 + β . \frac{Δ c}{c} \times 100 + γ . \frac{Δ d}{d} \times 100 + δ . \frac{Δ e}{e} \times 100$

$= (α b_{1} + β c_{1} + γ d_{1} + δ e_{1}) %$

Watch 3-min video & get full concept clarity