Question Number 5198 by sanusihammed last updated on 29/Apr/16
$${If}\:{the}\:{length}\:{of}\:{a}\:{rope}\:{that}\:{is}\:{attatched}\:{to}\:{a}\:{wall}\:{with}\:{the}\:{period} \\ $$$${of}\:\mathrm{2}{s}\:{is}\:{doubled}\:{what}\:{is}\:{the}\:{new}\:{period}. \\ $$
Commented by prakash jain last updated on 29/Apr/16
$$\mathrm{T}=\mathrm{2}\pi\sqrt{\frac{{l}}{{g}}} \\ $$$$\mathrm{If}\:{l}\:\mathrm{is}\:\mathrm{small}\:\mathrm{compared}\:\mathrm{to}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{Earth} \\ $$$$\mathrm{and}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{oscilaations}\:\mathrm{is}\:\mathrm{also}\:\mathrm{small}. \\ $$