A teacher enters a classroom from front door while a student from back door. There are 13 equidistant rows of benches in the classroom. The teacher releases $N_{2} O$ , the laughing gas, from the first bench while the student releases the tear gas $(C_{10} H_{5} C l N_{2})$ from the last bench. At which row will the students starts laughing and weeping simultaneously

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Solution

The correct option is C 9
Let both gases meet at the $x^{t h}$ row

$\frac{r_{N_{2} O}}{r_{C_{10} H_{5} C l N_{2}}} = \frac{x}{12 - x} = \sqrt{\frac{188.5}{44}} = 2$
$x = 24 - 2 x$
$3 x = 24$
$x = 8$
$n - 1 = x$
$n = 9^{t h}$ row (including the first row)

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Properties of Inverse Function

Standard XII Mathematics

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The correct option is C 9Let both gases meet at the xth row rN2OrC10H5ClN2=x12−x=√188.544=2 x=24−2x 3x=24 x=8 n−1=x n=9th row (including the first row)

The correct option is C 9
Let both gases meet at the $x^{t h}$ row

$\frac{r_{N_{2} O}}{r_{C_{10} H_{5} C l N_{2}}} = \frac{x}{12 - x} = \sqrt{\frac{188.5}{44}} = 2$
$x = 24 - 2 x$
$3 x = 24$
$x = 8$
$n - 1 = x$
$n = 9^{t h}$ row (including the first row)