The energy of a system is given as E(t)=\alpha^3 e^{-\beta t}, where t is the time and \beta=0.3 { 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 : [23 Jan 2025 Shift 2]

JEE Main 23 Jan 2025 Shift 2 Paper

Section: Physics

Question : 29 of 75

Marks: +1, -0

The energy of a system is given as E(t)=α3e−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 :

[23 Jan 2025 Shift 2]

6%
4%
8.4%
11.6%

Validate

Go to Question:

Prev Question

Next Question