Physics - Error Question with Solution | TestHub

PhysicsErrorMiscellaneousEasy2 minPYQ_2020
PhysicsEasysingle choice

The period of oscillation of a simple pendulum is given byT=2πLg, whereLis the length of the pendulum andgis the acceleration due to gravity. The length is measured using a meter scale which has500divisions. If the measured valueLis50 cm, the accuracy in the determination ofgis1.1%and the time taken for100oscillations is100seconds, what should be the possible error in measurement of the clock in one minute (in milliseconds)?

Options:

Answer:
C
Solution:

Given,

T=2πlg

orT2=4π2lg

  2TT=ll+gg...(i)

Now,l=50 cm, l=2 mm=0.2 cm

gg=1.1%=1.1100

Put these values in Equation. (i), then we get

TT=120.250+1.1100

=7.5×10-3 sor7.5 ms

In100s, resolution of the clock is7.5 ms.

In60s resolution of the clock is7.5×601005 ms

Stream:NTA_ABHYASSubject:PhysicsTopic:ErrorSubtopic:Miscellaneous
2mℹ️ Source: PYQ_2020

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