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4.1 , newtons laws of motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics4.1 , newtons laws of motion1 Mark
MCQ
A particle of mass $m$ moving with velocity $u$ makes an elastic one dimensional collision with a stationary particle of mass $m$. They are in contact for a very short time $T$. Their force of interaction increases from zero to $F_0$ linearly in time $T/2$, and decreases linearly to zero in further time $T/2$. The magnitude of $F_0$ is
  • A
    $mu/T$
  • ✓
    $2mu/T$
  • C
    $mu/2T$
  • D
    None of these
✓

Answer

Correct option: B.
$2mu/T$
b
(b) In elastic one dimensional collision particle rebounds with same speed in opposite direction

i.e. change in momentum $ = 2mu$

But Impulse $ = F \times T = $ Change in momentum

$⇒$ ${F_0} \times T = 2mu$ $⇒$ ${F_0} = \frac{{2mu}}{T}$

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