Meaning of directly proportional and inversely proportional through example

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Solution

Inversely proportional

Inversely proportional is when one value increases as the other value decreases. A simple example of inversely proportional quantities is the lengths and widths of rectangles with the same area. As the length of one side doubles, the width has to be halved for the area to stay the same.

Directly proportional

Directly proportional is when one value increases as the other value also increases.
A simple example of two things that are in the same proportion is the amount of apples you might buy and the amount you pay for them

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Q. The mass of the substance deposited at the cathode is
(A) Inversely proportional to quantity of electricity passed through electrolyte.
(B) Directly proportional to quantity of electricity passed through electrolyte.
(C) Directly proportional to the time for which electricity is passed through the electrolyte.
(D) Inversely proportional to the time for which electricity is passed through the electrolyte.

Q. V=IR
So, V is directly proportional to I
I=Q/t
So, I is directly proportional to Q
So, V must be directly proportional to Q
But, V=W/Q
That means V is inversely proportional to Q........
How can this be possible?????

According to pressure equation, PV=1/3 M Vrms².

=>nRT=1/3 M Vrms²

=> T directly proportional to M Vrms²

According to mean Kinetic energy,

KE(avg)=1/2 M Vrms²

=> KE(avg) directly proportional to M Vrms²

This means.. M Vrms² directly proportional to KE(avg) T

=> M Vrms² /T = KE(avg) × proportionality constant

So this means the avg Kinetic energy is inversely proportional to Absolute Temperature. But actually KE(avg) is directly proportional to T. Please clear my doubt

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