MCQ
Two balls of same mass are projected with the same speed one vertically upwards and the other at angle $60^o$ with the vertical. The ratio of their potential energies at the highest point is :-
- A$3:2$
- B$2:1$
- ✓$4:1$
- D$4:3$
✓
Answer
Correct option: C.
$4:1$
c
Potential energies at the highest point are equal to the loss in kinetic energies. That is
Potential energies at the highest point are equal to the loss in kinetic energies. That is
$\mathrm{K}_{1}=\frac{1}{2} \mathrm{mu}^{2}$ and
$\mathrm{K}_{2}=\frac{1}{2} \mathrm{m}\left(\mathrm{u} \cos 60^{\circ}\right)^{2}=\frac{1}{4} \times \frac{1}{2} \mathrm{mu}^{2}$
$\Rightarrow \frac{\mathrm{K}_{1}}{\mathrm{K}_{2}}=\frac{4}{1}$
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