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Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental nodes, the one of length L with frequency v₁ and the other with frequency v₂. The ratio v₁/v₂ is given by

(a)

(b)

(c)

(d)

Chemistry

Write structural formulae for all the isomeric alcohols having the molecular formula C₄H₁₀O.

Mathematics

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant = k > 0). Find the time after which the cone is empty.

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