1.

Two weightless springs have force constants k_(1) and k_(2) and connected in series. The combination is loaded with m, the time period of oscillation is :

Answer»

`T=2pi SQRT((m)/(k_(1)+k_(2)))`
`T=2pi sqrt(m((1)/(k_(1))+(1)/(k_(2))))`
`T=2pi sqrt(("m k"_(1)k_(2))/(k_(1)+k_(2)))`
none of these.

Solution :In SERIES `(1)/(k_(s))=(1)/(k_(1))+(1)/(k_(2))`
`IMPLIES""T=2pi sqrt((m)/(k_(s)))`
`T=2pi sqrt(m((1)/(k_(1))+(1)/(k_(2))))`
So the CORRECT choice is (b).


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