Equipotential surfaces are shown in the figure. The electric field strength will be:
A square frame of side \( 10 \) cm and a long straight wire carrying current \( 1A \) are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of \( 10 \) m/s (see figure). The induced EMF at the time the left arm of the frame is at \( x = 10 \) cm from the wire is:
A Carnot engine has an efficiency of 50%. If the temperature of the sink is reduced by \( 40^\circ C \), its efficiency increases by 30%. The temperature of the source will be:
A particle of mass $ M $ originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $ F = F_0 \left[ 1 - \left( \frac{t - T}{T} \right)^2 \right] $ where $ F_0 $ and $ T $ are constants. The force acts only for the time interval $ 2T $. The velocity $ v $ of the particle after time $ 2T $ is:
In the circuit shown in the figure, the total charge is \( 750 \, \mu C \) and the voltage across capacitor \( C_2 \) is \( 20 \, {V} \). Then the charge on capacitor \( C_2 \) is: