Question:
Two objects of masses $m_{1}$ and $m_{2}$ having the same size are dropped simultaneously from heights h $_{1}$ and $h_{2}-$ respectively. Find out the ratio of time they would take in reaching the ground. Will this ratio remain the same if
1. one of the object is hollow and the other one is solid and
2. both of them are hollow, size remaining the same in each case. Give reason.
Solution:
$t=\sqrt{\frac{2 h}{g}} \therefore \frac{t_{1}}{t_{2}}=\sqrt{\frac{h_{1}}{h_{2}}} .$ Ratio will be same as it does not depend on the mass and size of objects.
Ratio will be same as it does not depend on the mass and size of objects.
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