One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to [IIT 1993]

Question

TuteeHUB · Accepted Answer

$$6{{P}_{o}}$$

TuteeHUB · Answer

$$2\pi \left( \frac{m}{K} \right)$$

TuteeHUB · Answer

$$2\pi {{\left\{ \frac{(YA+KL)m}{YAK} \right\}}^{1/2}}$$

TuteeHUB · Answer

$$6{{P}_{o}}$$

TuteeHUB · Answer

$$2\pi \frac{mL}{YA}$$

1.	One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to [IIT 1993]
A.	\[2\pi \left( \frac{m}{K} \right)\]
B.	\[2\pi {{\left\{ \frac{(YA+KL)m}{YAK} \right\}}^{1/2}}\]
C.	\[6{{P}_{o}}\]
D.	\[2\pi \frac{mL}{YA}\]
Answer» C. \[6{{P}_{o}}\]

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