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Physics-

General

Easy

Question

In the relation x = 3yz2, x and z represent the dimensions of capacitance and magnetic induction respectively. What will be the dimension of y

M^-3L^-2T⁴Q⁴
M²L^-2T⁴Q⁴
M^-2L^-2T⁴Q⁴
M^-3L^-2T⁴Q

The correct answer is: M^-3L^-2T⁴Q⁴

x = 3yz²
dimension of y = $fraction numerator x over denominator z to the power of 2 end exponent end fraction$
= $fraction numerator C a p i c i tan invisible function application c e over denominator left parenthesis M a g n e t i c i n d u c t i o n right parenthesis to the power of 2 end exponent end fraction$
= $fraction numerator M to the power of negative 1 end exponent L to the power of negative 2 end exponent T to the power of 2 end exponent Q to the power of 2 end exponent over denominator left parenthesis M T to the power of negative 1 end exponent Q to the power of negative 1 end exponent right parenthesis to the power of 2 end exponent end fraction$
= M^-3L^-2T⁺⁴Q⁴

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