Step 1: The heat generated in a coil is given by the formula: \[ H = I^2 R \] where \( I \) is the current and \( R \) is the resistance.
Step 2: When the coil is cut into two equal parts, the resistance of each part becomes half of the original coil's resistance. Therefore, the heat generated by the coil when used in the heater will double.
Step 3: If the current remains constant, the heat generated by one part of the coil is double that of the original coil.
If a charge \( q \) is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would

The electric potential \( V(x) \) in a region around the origin is given by \( V(x) = 4x^2 \, {volts}. \) .The electric charge enclosed in a cube of 1m side with its center at the origin is (in coulomb)