The simplest formula of a compound containing $50$ % of an element $X$ (Atomic weight $10$ ) and $50$ % of element $Y$ (Atomic weight $20$ ) is :

X Y

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X_{2} Y

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X Y_{2}

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X_{2} Y_{3}

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Solution

The correct option is B $X_{2} Y$
A certain compound contains, $X$ = $50$ % (Atomic weight = $10$ ) ; $Y$ = $50$ % (Atomic weight = $20$ )
$∴$ The molar ratio is given by,
$X : Y = \frac{50}{10} : \frac{50}{20} = 5 : 2.5 = 2 : 1$ .
Hence, the simplest formula of the compound is $X_{2} Y$ .

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