1. Tardigrade
  2. Question
  3. Physics
  4. A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l1 and l2 where, l1 = nl2 and n is an integer. The ratio k1/k2 of the corresponding force constants, k1 and k2 will be :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A spring whose unstretched length is $l$ has a force constant $k$. The spring is cut into two pieces of unstretched lengths $l_1$ and $l_2$ where, $l_1$ = $nl_2$ and $n$ is an integer. The ratio $k_1/k_2$ of the corresponding force constants, $k_1$ and $k_2$ will be :

JEE MainJEE Main 2019Work, Energy and Power

Solution:

$k_1 = \frac{C}{\ell_1}$
$k_2 = \frac{C}{\ell_2}$
$\frac{k_1}{k_2} = \frac{C\ell_2}{\ell_1 C} \ell_2 = \frac{\ell_2}{n\ell_2} \, = \frac{1}{n}$