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Physics-

General

Easy

Question

The flux linked with circuit is given by $ϕ equals t to the power of 3 end exponent plus 3 t minus 7.$ The graph between time $left parenthesis x minus a x i s right parenthesis$ and induced emf $left parenthesis y minus a x i s right parenthesis$ will be a

Straight line through the origin
Straight line with positive intercept
Straight line with negative intercept
Parabola not through the origin

The correct answer is: Parabola not through the origin

$ϕ equals t to the power of 2 end exponent plus 3 t minus 7$
$therefore$ Induced emf
$e equals negative fraction numerator d ϕ over denominator d t end fraction equals negative open parentheses 3 t to the power of 2 end exponent plus 3 close parentheses equals negative 3 t to the power of 2 end exponent minus 3$
At $t equals 0 semicolon e equals negative 3 blank V$
Therefore, shape of graph will be a parabola not through origin.

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