Home
Class 10
PHYSICS
The energy of a system as a function of ...

The energy of a system as a function of time t is given as `E (t) = A^2 exp (- alpha t),` where `alpha = 0.2 s^(-1).` The measurement of A has an error of 1.25%. If the error in the measurement of time is 1.50%, the percentage error is the value of E = (t) at t= 5 sec is

A

0.01

B

0.02

C

0.03

D

0.04

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The energy of a system as a function of time t is given as E(t) = A^(2)exp(-alphat) , alpha = 0.2 s^(-1) . The measurement of A has an error of 1.25% . If the error In the measurement of time is 1.50% , the percentage error in the value of E(t) at t = 5 s is

The percentage error in the measurment of mass of a body is 0.75% and the percenatage error in the measurement of its speed is 1.85%. Then the percentage error in the measurement of its kinetic energy is

The error in the measurement of the radius of a sphere is 0.2%. What is the percentage error in the measurement of its surface area?

The percentage error in measurements of length and time period is 2% and 1% respectively . The percentage error in measurements of 'g' is

In case of measurement of 'g' if error in measurement of length of pendulum is 2%, the percentage error in time period is 1 %. The maximum error in measurement of g is

The time dependence of a physical quantity P is given by P= P_0 exp (-alpha t^(2)) , where alpha is a constant and t is time. The constant alpha

Time dependence of a physical quantity P is given by P =P_0 exp(-alpha t^2), where alpha is a constant and t is time. The constant alpha is

The time dependence of a physical quantity P is given by P=P_(0) exp (-alpha t^(2)) , where alpha is a constant and t is time. The constant alpha

What is the percentage error in the measurement of time period of a pendulum if maximum errors in the measurement of l ands g are 2% and 4% respectively?