Sample 1Medium
The length of a simple pendulum is increased by 44%. Its time period increases by
Show the answer
The answer is D.
T = 2π√(L/g). With L' = 1.44L, T' = √1.44 T = 1.2T, an increase of 20%.
- A.
44% assumes the period is proportional to length, but T ∝ √L.
- B.
22% halves the percentage change, which holds only for small changes.
- C.
12% does not follow from T ∝ √L; √1.44 = 1.2.
NCERT: Class 11 Physics, Chapter 13, The simple pendulum