Simple Harmonic Motion Ques 33

  1. A spring of force constant $k$ is cut into two pieces such that one piece is double the length of the other. Then, the long piece will have a force constant of

(1999, 2M)

(a) $\frac{2}{3} k$

(b) $\frac{3}{2} k$

(c) $3 k$

(d) $6 k$

Show Answer

Answer:

Correct Answer: 33.(b)

Solution:

Formula:

Combination Of Springs:

  1. $l _1=2 l _2 \quad \therefore \quad l _1=\frac{2}{3} l$

$$ \therefore \quad k _1=\frac{3}{2} k $$

Force constant $k \propto \frac{1}{\text { length of spring }}$



Table of Contents