The energy of a system is given as E(t) = α^3 e^-βt, where t is the time and  = 0.3s^–1 The errors in the

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📘Question

The energy of a system is given as E(t) = α^3 e^–βt, 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 : 

(1) 4% 

(2) 11.6% 

(3) 6% 

(4) 8.4%                                                 (JEE-2025) 

✅ Answer

The energy of a system is given as E(t) = α^3 e^–βt, 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 :  (1) 4%  (2) 11.6%  (3) 6%  (4) 8.4%

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