Lens Formula and Derivative for Error Analysis:
The lens formula is given by:
Taking the derivative of both sides with respect to and , we get:
Rearranging for :
Error in Measurement of Focal Length:
Since and represent the measurement errors in and ,
respectively, we can substitute and :
Conclusion:
The error in the measurement of the focal length is:
If , is a constant and the relative error in is times to the percentage error in , then ?
Let be the solution of the differential equation
such that , then is equal to:
Find the IUPAC name of the compound.
If , then is: 32