A physical quantity Q is found to depend on quantities a, b, c by the relation Q=(a⁴ b³)/(c²). The percentage error in a, b and c are 3%, 4% and 5% respectively. Then, the percentage error in Q is:

Units and Measurements: JEE Main 2024 Physics question

JEE Main 2024 · 29 Jan, Evening shift · Q8321

JEE Main 202429 Jan, Evening shiftPhysicsMediumUnits and Measurements122× since 2002

A physical quantity

Q

is found to depend on quantities

a, b, c

by the relation

Q=\frac{a^4 b^3}{c^2}

. The percentage error in

a, b

and

c

are

3 \%, 4 \%

and

5 \%

respectively. Then, the percentage error in

Q

is :