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CBSE Class 12-science Answered

The period of a simple pendulum is 6 seconds.  The metallic Bob is of mass 2 gmail and is negatively charged. The suspension is made of an insulating material. A positively charged plate is placed just below the bob when the period of oscillation decreases to 2 seconds.  Determine the  electrical force exerted to the bob.
Asked by mridulabarua05 | 19 Feb, 2019, 11:59: AM
answered-by-expert Expert Answer
period of simple pendulam  begin mathsize 12px style T space equals space 2 pi square root of L over g end root space equals space 6 space s end style .....................(1)
period of simple penulam T '  when positively charged plate is placed below and bob of pendulam is charged with -ve charges is given by
 
begin mathsize 12px style T space apostrophe space equals space 2 pi square root of fraction numerator L over denominator g plus begin display style F over m end style end fraction end root space equals space 2 space s space space space end style  ...................................(2)
where F is electro-static force and m is mass of the ball
 
dividing eqn.(1) by eqn.(2),  we get,  begin mathsize 12px style square root of fraction numerator g plus begin display style F over m end style over denominator g end fraction end root space equals space 3 space space space o r space space space 1 plus space fraction numerator F over denominator m g end fraction space equals space 9 space space space space space o r space space F space equals space 8 space m space g space equals space 8 cross times 2 cross times 10 to the power of negative 3 end exponent cross times 9.8 space space N space almost equal to space 157 space N end style
Answered by Thiyagarajan K | 20 Feb, 2019, 01:04: PM

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