A) \[mgl\text{ }(1-cos\text{ }\theta \text{)}\]
B) \[0.5\text{ }mgl\]
C) \[mgl\]
D) \[0.5\text{ }mgl\]
Correct Answer: A
Solution :
Here, length of pendulum\[=l\] Maximum angular displacement\[=\theta \] Mass of the bob = m Now, height of the bob at maximum angular displacement is \[h=l-l\cos \theta =l(1-\cos \theta )\] Also at the end of the displacement kinetic energy of the bob = potential energy of the bob \[=mgh=mgl(1-cos\theta )\]You need to login to perform this action.
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