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3.2 , motion in plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
Two stones are projected with the same speed but making different angles with the horizontal. Their ranges are equal. If the angle of projection of one is $\pi /3$ and its maximum height is $h_1$ then the maximum height of the other will be
  • A
    $3h_1$
  • B
    $2h_1$
  • C
    $h_1/2$
  • ✓
    $h_1/3$
✓

Answer

Correct option: D.
$h_1/3$
d
$\frac{\mathrm{h}_{2}}{\mathrm{h}_{1}}=\frac{\mathrm{u}^{2} \sin ^{2} \theta_{2}}{2 \mathrm{g}} \times \frac{2 \mathrm{g}}{\mathrm{u}^{2} \sin ^{2} \theta_{1}}$

$=\frac{\sin ^{2} \theta_{2}}{\sin ^{2} \theta_{1}}=\frac{\sin ^{2} \pi / 6}{\sin ^{2} \pi / 3}=\frac{1}{3}$

$\therefore \quad \mathrm{h}_{2}=\mathrm{h}_{1} / 3$

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