Water of mass 5 kg in a closed vessel is at a temperature of 20 , \(^\circ\text{C}\). If the temperature of the water when heated for a time of 10 minutes becomes \(30 \ , ^\circ\text{C}\), then the increase in the internal energy of the water is:
A point charge \( q \) is placed at a distance \( d \) above an infinite, grounded conducting plate placed on the \( xy \)-plane at \( z = 0 \). The electrostatic potential in the \( z > 0 \) region is given by \( \phi = \phi_1 + \phi_2 \), where:
\( \phi_1 = \frac{1}{4 \pi \epsilon_0} \cdot \frac{q}{\sqrt{x^2 + y^2 + (z - d)^2}} \) \( \phi_2 = - \frac{1}{4 \pi \epsilon_0} \cdot \frac{q}{\sqrt{x^2 + y^2 + (z + d)^2}} \)
Which of the following option(s) is/are correct?