Q132 / 160 · AP EAMCET 2005 · Physics

A body of mass $m$ is suspended to an ideal spring of force constant $k$. The expected change in the position of the body due to an additional force $F$ acting vertically downwards is

  • A
    $\frac{3 F}{2 k}$
  • Correct answer
    B
    $\frac{2 F}{k}$
  • C
    $\frac{5 F}{2 k}$
  • D
    $\frac{4 F}{k}$

Solution

Let the change in position of the body due to additional force is $x$. So, $\begin{aligned} & F=\frac{1}{2} k x \\ & x=\frac{2 F}{k} \end{aligned}$ $\therefore \quad x=\frac{2 F}{k}$

Hence, the correct answer is option: 'B'.

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