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One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to a mass less spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and the Young’s modulus of the wire are A and Y respectively. Find the time period with which mass m will oscillate if it is slightly pulled down and released

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a
2πAYKmAY +KL
b
2πmAY +KLAYK
c
2πmYKAY +KL
d
2πmAYLAY +KL

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detailed solution

Correct option is B

elongation in the wire e=FLAY          F=AYLe equivalent sprng constant  k1= AYL along with this a spring of force constant K is connected in series then 1Ke= 1k1+1K= LAY+1K time period T=2π1Ke


Similar Questions

Consider the following statements.
(A) Young's modulus for a perfectly plastic body is zero.
(B) For a perfectly plastic body, restoring force is zero

Select the correct option.
(a)(A) is false, But (B) is true.
(b) Both (A) and (B)are true.
(c) (A) is true, But (B) is false.
(d) Both (A)and(B)are false.


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