The energy retained by an idealised system after successive cycles is E, E/2, E/4, E/8, ... . If the sum of these quantities over all cycles is 200 J, find E in joules.
Physics · Mathematical tools and vector · Sequence & Series
NEET JEE Mains

Question

The energy retained by an idealised system after successive cycles is E, E/2, E/4, E/8, ... . If the sum of these quantities over all cycles is 200 J, find E in joules.

G1 Physics · Accepted Answer

Infinite GP with first term E and r=1/2. Sum=E/(1−1/2)=2E=200, so E=100 J.