JEE Main 2024 — Electromagnetic Induction Question with Solution

A rectangular loop of sides $12\mathrm{cm}$ and $5\mathrm{cm}$, with its sides parallel to the $x$-axis and $y$-axis respectively, moves with a velocity of $5\mathrm{cm}/\mathrm{s}$ in the positive $x$ axis direction, in a space containing a variable magnetic field in the positive $z$ direction. The field has a gradient of $10^{-3}\mathrm{T}/\mathrm{cm}$ along the negative $x$ direction and it is decreasing with time at the rate of $10^{-3}\mathrm{T}/\mathrm{s}$. If the resistance of the loop is $6\mathrm{m}\Omega$, the power dissipated by the loop as heat is __________ $\times 10^{-9}\mathrm{W}$.