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Engineering

A conducting circular loop of area $1.0 \mathrm{\ m^2}$ is placed perpendicular to a magnetic field which varies as $B = \sin(100 t)$ Tesla. If the resistance of the loop is $100 \mathrm{\ \Omega}$ , then the average thermal energy dissipated in the loop in one period is _________ J.

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A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is: [Diagram: Semicircular arc with mass m at center]

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