99 Percentile Qs Bank for JEE MainPhysicsMathematics in Physics
If x = a b , then the maximum relative error in the measurement is
Options
- A∆ a a ∆ b b
- B  Δ a a + Δ b b
- CΔ a a - Δ b b
- D∆ b b ∆ a a
Correct answer
B.   Δ a a + Δ b b
Step-by-step solution
Given: x = a b The relative error is expressed as the ratio between the measurement's absolute error and the actual measurement. The expression for relative error is, Relative   error = Mean   absolute   error Actual   value . The maximum absolute error is given as for a is Δ a and for b is Δ b . Thus, the relative error is,   Δ a a + Δ b b .