question_answer

Justify the following statements : (i) The motion of an artificial satellite around the earth cannot be taken as S.H.M. (ii) The time period of a simple pendulum will get doubled if its length is increased four times.                                   

Answer:

                (i) The motion of an artificial satellite around the earth is periodic as it repeats after a regular interval of time. But it cannot be taken as S.H.M. because it is not a to-and-fro motion about any mean position. (ii) Time period of simple pendulum, \[T=2\pi \sqrt{\frac{l}{g}}\] i.e., \[T\propto \sqrt{l}\] Clearly, if the length is increased four times, the time period gets doubled.