Question 46
Simple Harmonic MotionThe relationship between the period T and the length l of a simple pendulum is T = 2π(l/g)1/2. From experimental data of T and l, one can obtain the following graphs. (i) T vs. l (ii) T vs. l2 (iii) T2 vs. l (iv) T vs. √l (v) log T vs. log l. Which of the graphs are linear?
- A.All
- B.Only (i) and (ii)
- C.Only (iii) and (iv)
- D.(iii), (iv) and (v)
- E.None of them.
Show the answer and explanation
Answer: D ((iii), (iv) and (v))
Explanation
T ∝ √l, so T against √l and T² against l are straight lines, and log T = ½ log l + constant is also a straight line.