When a coil is placed in a time dependent magnetic field the power dissipated in it is P . The number of turns, area of the coil and radius of the coil wire are N, A and r respectively. For a second coils number of turns, area of the coil and radius of the coil wire are 2 N , 2A and 3 r respectively. When the first coil is replaced with second coil the power dissipated in it is \(\sqrt{2\alpha P}\). The value of \(\alpha\) is _____

[JEE Main 2026, 2 Apr (Shift 1)]

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When a coil is placed in a time dependent magnetic field the power dissipated in it is P . The number of turns, area of the coil and radius of the coil wire are N, A and r respectively. For a second coils number of turns, area of the coil and radius of the coil wire are 2 N , 2A and 3 r respectively. When the first coil is replaced with second coil the power dissipated in it is \(\sqrt{2\alpha P}\). The value of \(\alpha\) is _____

[JEE Main 2026, 2 Apr (Shift 1)]

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