IIT-JEE 2000 Screening

The period of oscillation of a simple pendulum of length \(L\) suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination \(\alpha\), is given by

The dimension of \(\left( {{1 \over 2}} \right){\varepsilon _0}{E^2}\)
( \({\varepsilon _0}\) : permittivity of free space, E electric field )

A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output wil...