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5.work,energy,power and collision — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics5.work,energy,power and collision1 Mark
MCQ
particle is projected from level ground. Its kinetic energy $K$ changes due to gravity so $\frac{{{K_{\max }}}}{{{K_{\min }}}} = 9$. The ratio of the range to the maximum height attained during its flight is
  • A
    $4\sqrt 2 $
  • B
    $1.5$
  • ✓
    $\sqrt 2 $
  • D
    None
✓

Answer

Correct option: C.
$\sqrt 2 $
c
$\mathrm{K}_{\max }=\frac{1}{2} \mathrm{mv}^{2}, \mathrm{K}_{\min }=\frac{1}{2} \mathrm{mv}^{2} \cos ^{2} \theta$

$\frac{v^{2}}{v^{2} \cos ^{2} \theta}=9 \Rightarrow \cos \theta=\frac{1}{3}$

$\frac{\mathrm{R}}{\mathrm{H}}=4 \cot \theta=\sqrt{2}$

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