Home
Class 11
PHYSICS
A uniform spring whose unstressed length...

A uniform spring whose unstressed length is l has a force constant k. The spring is cut into two pieces of unstressed lengths `l_(1)` and `l_(2)` where `l_(1)=nl_(2)` where n being on integer. Now a mass m is made to oscillate with first spring. The time period of its oscillation would be

A

`T=2pisqrt((mn)/(k(n+1)))`

B

`T=2pisqrt((m)/(k(n+1)))`

C

`T=2pisqrt((m)/(k))`

D

`T=2pisqrt((m(n+1))/(nk))`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `kprop (1)/(l)`
`(l_(1))/(l_(2))=n`
`therefore l_(1)=((n)/(n+1))l " or "k'=((n+1)/(n))k`
`therefore T=2pisqrt((mn)/(k(n+1)))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform 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. What are the corresponding force constant k_(1) and k_(2) in terms of n and k? what is the ratio k_(1)//k_(2)

A spring has length'l' and spring constant 'k'. It is cut into two pieces of lengths l_(1) and l_(2) such that l_(1)=nl_(2) . The force constant of the spring of length l_(1) is

A spring has length l and force constant k it is cut into two springs of legnth l_(1) and l_(2) such that l_(1) =nl_(2) (n = an integer). Mass 'm' suspended form l_(1) oscillates with time period.

A spring of force constant k is cut into two pieces of lengths l_(1) and l_(2). Calculate force constant of each part.

A simple spring has length l and force constant K. It is cut into two springs of lengths l_(1) "and" l_(2) such that l_(1) = n l_(2) (n = an integer). The force constant of spring of length l_(1) is

K is the force constant of a spring. The work donein increasing its extension from l_(1) to l_(2) will be

A spring of length 'l' has spring constant 'k' is cut into two parts of length l_(1) and l_(2) . If their respective spring constahnt are K_(1) and k_(2) , then (K_(1))/(K_(2)) is:

A spring of force constant k is cut into two parts whose lengths are in the ratio 1:2 . The two parts are now connected in parallel and a block of mass m is suspended at the end of the combined spring. The period of oscillation of block is

A spring of force constant k is cut into two pieces whose lengths are in the ratio 1:2. The force constant of the longer piece?

A spring of force constant 'k' is cut into four equal parts one part is attached with a mass m. The time period of oscillation will be