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A simple pendulum has a metal bob, which is negatively charged. If it is allowed to oscillate above a positively charged metallic plate, then its time period will [2001]
  • a)
    increase
  • b)
    decrease
  • c)
    become zero
  • d)
    remain the same
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A simple pendulum has a metal bob, which is negatively charged. If it ...
We know that the time period (T)
Since the negatively charged bob is attracted by the positively charged plate, therefore acceleration due to gravity will increase and time period will decrease.
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Most Upvoted Answer
A simple pendulum has a metal bob, which is negatively charged. If it ...
Explanation:

When a negatively charged metal bob is placed above a positively charged metallic plate, an electric field is created between them. This electric field exerts a force on the bob, which affects its motion and hence the time period of oscillation.

Electric Field and Force:
The positively charged metallic plate creates an electric field in the region surrounding it. This electric field points towards the plate, from the bob to the plate. Since the bob is negatively charged, it experiences a force in the direction opposite to the electric field.

Effect on Time Period:
The force exerted on the bob due to the electric field affects its motion and hence the time period of oscillation. The time period of a simple pendulum is given by:
T = 2π√(l/g)
where T is the time period, l is the length of the pendulum, and g is the acceleration due to gravity.

As the force due to the electric field opposes the motion of the bob, it effectively increases the effective length of the pendulum. This is because the bob is pushed slightly away from the plate during its oscillation. Therefore, the length of the pendulum increases, leading to an increase in the time period.

Conclusion:
Hence, when a negatively charged metal bob is allowed to oscillate above a positively charged metallic plate, its time period will decrease. Therefore, the correct answer is option 'B' - decrease.
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