Home
Class 12
PHYSICS
A spring of force constant k is cut into...

A spring of force constant k is cut into lenghts of ratio 1:2:3 is k'. If they are connecated in parallel and force constant is k'' then k':k''is

A

`1:6`

B

`1:9`

C

`1:11`

D

`1:14`

Text Solution

Verified by Experts

The correct Answer is:
C
Spring constant `prop (1)/("length")`
`k prop (1)/(l)`
i.e, `k_(1)=6k`
`k_(2)=3k`
`k_(3)=2K`
In series
`(1)/(k')=(1)/(6k)+(1)/(3k)+(1)/(2k)`
`(1)/(k')=(6)/(6k)`
k'=k
k"=6k+3k+2k
k"=11k
`(k')/(k")=(1)/(11) ` i.e. k':k"=1:11
Promotional Banner

Similar Questions

Explore conceptually related problems

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3 . They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k'. Then k' : k" is :

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3 . They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k'. Then k' : k" is :

A light spring of spring constant k is cut into two equal halves. Each half is connected in parallel then net spring constant of the combination is :

Assertion A spring of force constatn k is cut in to two piece having lengths in the ratio 1:2 The force constant of series combination of the two parts is (3k)/(2) The spring connected in series are represented by k=k_(1)+k_(2)

If a spring of force constant 'k' is cut into two parts, such that one part is thrice in length of the other part. Then the force constant of each part are

A spring of spring constant k is cut in three equal pieces. The spring constant of each part will be

Infinite springs with force constant k , 2k, 4k and 8 k .... respectively are connected in series. The effective force constant of the spring will b

Infinite springs with force constants k,2k, 4k and 8k … respectively are connected in series. What will be the effective force constant of springs, when k=10N//m

A spring of force constant k extends by a length X on loading . If T is the tension in the spring then the energy stored in the spring is

Force constant of a spring (k) is anonymous to