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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
A ball is projected at an angle $45^o$ with horizontal. It passes through a wall of height $h$  at horizontal distance $d_1$ from the point of projection and strikes the ground at a  horizontal distance $(d_1 + d_2)$ from the point of projection, then $h$ is
  • A
    $h = \frac{{2{d_1}{d_2}}}{{{d_1} + {d_2}}}$
  • ✓
    $h = \frac{{{d_1}{d_2}}}{{{d_1} + {d_2}}}$
  • C
    $h = \frac{{\sqrt 2 {d_1}{d_2}}}{{{d_1} + {d_2}}}$
  • D
    $h = \frac{{{d_1}{d_2}}}{{2\left( {{d_1} + {d_2}} \right)}}$
✓

Answer

Correct option: B.
$h = \frac{{{d_1}{d_2}}}{{{d_1} + {d_2}}}$
b
$y=x \tan \theta\left(1-\frac{x}{R}\right)$

$\mathrm{h}=\mathrm{d}_{1} \tan 45^{\circ}\left(1-\frac{\mathrm{d}_{1}}{\mathrm{d}_{1}+\mathrm{d}_{2}}\right)$

$\mathrm{h}=\mathrm{d}_{1} \frac{\mathrm{d}_{2}}{\mathrm{d}_{1}+\mathrm{d}_{2}}$

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