Question

2: Two pendulums p and q have lengths 5 metre and 10 respectively. Which pendulum will
make more oscillations for the same time period . Explain​

Answer 1

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● The pendulum p of length 5m Will make more oscillations as compared to q of length 10m.

● Because

$t \alpha \sqrt{l}$

Answer 2

Answer: Pendulum p will make more oscillations.

Explanation:

• We know that the time period of a pendulum T = $2\pi \sqrt{\frac{l}{g} }$ ,

where l is the length of the pendulum and g is the acceleration due to gravity.

• For pendulum p,

l= 5 metre.

g= 9.8 $ms^{-2}$

Then, $T_{p}$ = $2\pi \sqrt{\frac{5}{9.8} } = 4.49$ sec.

• For pendulum q,

l= 10 metre.

g= 9.8 $ms^{-2}$

Then, $T_{q}$ = $2\pi \sqrt{\frac{10}{9.8} } = 6.35$ sec.

Now, for time period 4.49 sec, p makes 1 oscillation.

Therefore, for time period 2 sec, p makes $\frac{2}{4.49} = 0.45$ oscillations.

Again, for time period 6.35 sec, q makes 1 oscillation.

Therefore, for time period 2 sec, q makes $\frac{2}{6.35}$ $= 0.31$ oscillations.

Therefore, pendulum p will make more oscillations.