Variation

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

If `x \propto y`, then which of the following is true? -
(a) `x^2 \propto y^3`, (b) `x^n \propto y^n`, (c) `x^n \propto y^\frac{n}{2}`, (d) `x^\frac{n}{2} \propto y^n`
Ans: (b) `x^n \propto y^n`
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Question No: #2

If `x \propto 1/y`, then which option is correct?-
(a) `x = 1/y`, (b) `y=1/x`, (c) `xy=1`, (d) `xy=`non-zero constant
Ans: (d) `xy=`non-zero constant
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Question No: #3

For `x \propto y`, the incorrect option is -
(a) `x^2 \propto y^2`, (b) `x^3 \propto y^3`, (c) `x \propto y^2`, (d) `x/y` a constant
Ans: (c) `x \propto y^2`
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Question No: #4

If $ x \propto \sqrt[3]{y} $, then the correct option is -
(a) `y \propto x^\frac{1}{3}`, (b) `y \propto x`, (c) `y \propto x^3`, (d) `y \propto \sqrt{x}`
Ans: (c) `y \propto x^3`
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Question No: #5

If `(ax+by) \propto (px+qy)` (where `a, b, p, q` constants) then -
(a) `x \propto 1/y`, (b) `x^2 \propto y`, (c) `x \propto y^2`, (d) `x \propto y`
Ans: (d) `x \propto y`
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Question No: #6

`x \propto \sqrt{y}` and `y=16` when `x=3`; When `y=64`, positive value of `x` is -
(a) 4, (b) 6, (c) 8, (d) 10
Ans: (b) 6
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Question No: #7

If `(x+y) \propto (x-y)` then -
(a) `x \propto y`, (b) `y \propto 1/x`, (c) `xy = ` Constant, (d) `x=y`
Ans: (a) `x \propto y`
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Question No: #8

If `x^2 + 2y^2 \propto x^2 - 2y^2`, then which of the following is true? -
(a) `x \propto 2y^2`, (b) `2x^2 \propto y`, (c) `x \propto y`, (d) `x \propto 1/y`
Ans: (c) `x \propto y`
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Question No: #9

If `a^2 \propto bc` and `b^2 \propto ca`, then -
(a) `c \propto a`, (b) `c` constant, (c) `abc` constant, (d) `a \propto b`
Ans: (d) `a \propto b`
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Question No: #10

`P \propto 1/V` when`T` constant and `P \propto T` when `V` constant and `P=R` when `V=T`, then which of the following is correct?-
(a) `PV=T`, (b) `PT=V`, (c) `PVT=R`, (d) `PV=RT`