MCQ
A target is made of two plates, one of wood and the other of iron. The thickness of the wooden plate is $4\,cm$ and that of iron plate is $2\,cm$. A bullet fired goes through the wood first and then penetrates $1\,cm$ into iron. A similar bullet fired with the same velocity from opposite direction goes through iron first and then penetrates $2\,cm$ into wood. If $a_1$ and $a_2$ be the retardations offered to the bullet by wood and iron plates respectively, then
  • A
    $a_1=2 a_2$
  • $a_2=2 a_1$
  • C
    $a_1=a_2$
  • D
    Data insufficient

Answer

Correct option: B.
$a_2=2 a_1$
b
(b)

$0=u^2-2 a_1(4)-2 a_2(1)$

$0=u^2-2 a_2(2)-2 a_1(2)$

From these two equations, we get,

$a_2=2 a_1$

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