The bob of a simple pendulum of length ' L ' has a mass ' m ' and charge ' q '. The pendulum is suspended between the plates of a charged parallel plate capacitor. The di

Question

The bob of a simple pendulum of length ' $L$ ' has a mass ' $m$ ' and charge ' $q$ '. The pendulum is suspended between the plates of a charged parallel plate capacitor. The direction of electric field is shown in figure. The period of oscillations of the simple pendulum is (acceleration due to gravity $g > qE / m$ )

TestHub · Accepted Answer

Electric force, F electric ​ = qE The effective force, ​ mg eff ​ = mg − F electric ​ g eff ​ = g − m qE ​ ​ The period of oscillation for a simple pendulum, T = 2 π g L ​ ​ Time period when pendulum is suspended between the plates, ​ T = 2 π g eff ​ L ​ ​ T = 2 π [ g − m qE ​ L ​ ] 2 1 ​ ​

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