Question 147: Laws of Motion

Question

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 constant, k
1
and
k
2
will be :

Accepted Answer

For a spring, k$$ 	imes $$$$l$$ = constant.
$$ 	herefore $$ k
1
$${l_1}$$ = k
2
$${l_2}$$
$$ \Rightarrow $$ $${{{k_1}} \over {{k_2}}} = {{{l_2}} \over {{l_1}}}$$ = $${{{l_2}} \over {n{l_2}}}$$ = $${1 \over n}$$

Answer

$${1 \over {{n^2}}}$$

Answer

$${1 \over n}$$

Answer

n
2

Answer

n

Laws of Motion

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 constant, k 1 and k 2 will be :

Choose the correct answer: