MCQMediumJEE Main 2025 · 23 January, Shift 2Significant Figures & Error Analysis

Physics Question from JEE Main 2025 · 23 January, Shift 2

The energy of a system is given as E(t)=α3eβtE(t) = \alpha^3 e^{-\beta t}, where tt is the time and β=0.3s1\beta = 0.3 \, \text{s}^{-1}. The errors in the measurement of α\alpha and tt are 1.2%1.2\% and 1.6%1.6\%, respectively. At t=5st = 5 \, \text{s}, the maximum percentage error in the energy is:

  • A

    4%4\%

  • B

    11.6%11.6\%

  • C

    6%6\%

  • D

    8.4%8.4\%

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