A weightless spring of length 60 cm and force constant 100" Nm"^(-1) is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is :

A weightless spring of length 60 cm and force constant 100" Nm"^(-1) i

1.	A weightless spring of length 60 cm and force constant 100" Nm"^(-1) is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is :
Answer» `(PI)/(20)s` `(pi)/(5)s` `(pi)/(10)s` `(pi)/(sqrt(200))s`. Solution :When a mass 0.25kg is attached at middle of spring of CONSTANT 100 N/m. Then itwill work as a parallel combination of two springseach of constant 200 N/m. `:. K_(p)=200+200=400" N"//"m"` `T=2pi sqrt((m)/(k_(p)))=2pi sqrt((0.25)/(400))=(2pi xx5)/(200)=(pi)/(20)` seconds. Correct choice is (a).

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