Justify the following statements: 1. The motion of an artificial … - Vidyadip

Question

Justify the following statements:

The motion of an artificial satellite around the earth cannot be taken as $\text{SHM}.$
The time period of a simple pendulum will get doubled if its length is increased four times.

✓

Answer

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 $\text{SHM}$ because it is not a to and fro motion about any fixed point that is, mean position.
Time period of simple pendulum.

$\text{T}=2\pi\sqrt{\frac{\text{l}}{\text{g}}}$
i.e. $=\text{T}\propto\sqrt{\text{l}}$
Clearly, if the length is increased four times, the time period gets doubles.

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