jee-main 2024 Q28

jee-main · India · session1_01feb_shift1 Not Maths
A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the $x$-axis and $y$-axis respectively moves with a velocity of $5 \mathrm {~cm} \mathrm {~s} ^ { - 1 }$ 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 $10 ^ { - 3 } \mathrm {~T} \mathrm {~cm} ^ { - 1 }$ along the negative $x$ direction and it is decreasing with time at the rate of $10 ^ { - 3 } \mathrm {~T} \mathrm {~s} ^ { - 1 }$. If the resistance of the loop is $6 \mathrm {~m\Omega}$, the power dissipated by the loop as heat is $\_\_\_\_$ $\times 10 ^ { - 9 } \mathrm {~W}$.
A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the $x$-axis and $y$-axis respectively moves with a velocity of $5 \mathrm {~cm} \mathrm {~s} ^ { - 1 }$ 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 $10 ^ { - 3 } \mathrm {~T} \mathrm {~cm} ^ { - 1 }$ along the negative $x$ direction and it is decreasing with time at the rate of $10 ^ { - 3 } \mathrm {~T} \mathrm {~s} ^ { - 1 }$. If the resistance of the loop is $6 \mathrm {~m\Omega}$, the power dissipated by the loop as heat is $\_\_\_\_$ $\times 10 ^ { - 9 } \mathrm {~W}$.