The energy of a system is given as E(t) = α³ e^(-β t), where t is the time and β = 0.3 s⁻¹. The errors in the measurement of α and t are 1.2% and 1.6%, respectively. At t = 5 s, maximum percentage error in the energy is:

Units and Measurements: JEE Main 2025 Physics question

JEE Main 2025 · 23 Jan, Evening shift · Q37

JEE Main 202523 Jan, Evening shiftPhysicsMediumUnits and Measurements122× since 2002

The energy of a system is given as

E(t) = \alpha^3 e^{-\beta t}

, where t is the time and

\beta = 0.3\ \mathrm{s^{-1}}

. The errors in the measurement of

\alpha

and t are 1.2% and 1.6%, respectively. At

t = 5

s, maximum percentage error in the energy is:

JEE Main 2025 Units and Measurements Question with Solution (23 Jan Evening shift, Q37) | JEE Arc