JEE MAIN - Physics (2015 (Offline) - No. 17)
For a simple pendulum, a graph is plotted between its kinetic energy $$(KE)$$ and potential energy $$(PE)$$ against its displacement $$d.$$ Which one of the following represents these correctly?
$$(graphs$$ $$are$$ $$schematic$$ $$and$$ $$not$$ $$drawn$$ $$to$$ $$scale)$$
$$(graphs$$ $$are$$ $$schematic$$ $$and$$ $$not$$ $$drawn$$ $$to$$ $$scale)$$
_en_17_1.png)
_en_17_2.png)
_en_17_3.png)
_en_17_4.png)
Explication
$$K.E = {1 \over 2}k\left( {{A^2} - {d^2}} \right)$$
and $$P.E. = {1 \over 2}k{d^2}$$
At mean position $$d=0.$$ At extremes positions $$d=A$$
and $$P.E. = {1 \over 2}k{d^2}$$
At mean position $$d=0.$$ At extremes positions $$d=A$$