JEE Main & Advanced Sample Paper JEE Main Sample Paper-38

  • question_answer A metallic wire of density d is lying horizontal on the surface of water. The maximum length of wire so that it may not sink will be

    A)  \[\sqrt{\frac{2Tg}{\pi d}}\]                    

    B)  \[\sqrt{\frac{2\pi T}{dg}}\]

    C)  \[\sqrt{\frac{2T}{\pi dg}}\]               

    D)  any length

    Correct Answer: D

    Solution :

     \[mg=2TL\Rightarrow \pi {{r}^{2}}Ldg=2TL\Rightarrow \pi {{r}^{2}}dg=2T.\] This relation is independent of L.

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