Question #627e5

1 Answer
Jun 5, 2016

4%

Explanation:

We know, Time period (T) of a simple pendulum is related with
acceleration due to gravity (g)and length of the pendulum(l)
as follows
#T=2pisqrt(l/g)#

Squaring and rearranging we get

#g=4pi^2l/T^2#

Taking log we get

#logg=log4+2logpi+logl-2logT#

Differentiating we have

#(Deltag)/g=(Deltal)/l-2(DeltaT)/T#

Maximum error

#((Deltag)/g)_"max"%=(Deltal)/l%+2(DeltaT)/T%#

#((Deltag)/g)_"max"%=2+2*1=4#