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Model Paper 9 — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsModel Paper 91 Mark
MCQ
A police jeep is chasing with velocity $45 km / h$. A thief in another jeep is moving with $155 km / h$. Police fires a bullet with a muzzle velocity of $180 m / s$. The bullet strikes the jeep of the thief with a velocity
  • A
    $27 ms^{-1}$
  • B
    $150 ms^{-1}$
  • C
    $450 ms^{-1}$
  • D
    $250 ms^{-1}$
✓

Answer

(b) $150 ms^{-1}$
Explanation: Relative speed of bullet with respect to thief's jeep,
$
\begin{aligned}
& =\left(v_{b}+v_{p}\right)-v_{t} \\
& =180 ms^{-1}+45 ms^{-1}-155 ms^{-1} \\
& =180 ms^{-1}+45 \times \frac{5}{18} ms^{-1}-155 \times \frac{5}{18} ms^{-1} \\
& =180 ms^{-1}-305 ms^{-1} \\
& =150 ms^{-1}
\end{aligned}
$

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