There are 100 persons sitting at equal distances in a row XY. $N_{2} O$ gas (laughing gas) is released from the side X and tear gas (mol.mass = 176) from side Y at the same moment and at the same pressure. The person who will have a tendency to laugh and weep simultaneously is ?

34th from side X

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67th from side X

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76th from side X

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67th from side Y

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Solution

The correct option is B 67th from side X
Amongst 100 persons, number of equidistant spaces = 99
Let nth be the person from side X. Then,
$\frac{r_{N O_{2}}}{r_{t e a r}} = \sqrt{\frac{M_{t e a r}}{M_{N O_{2}}}} = \sqrt{\frac{176}{44}} = 2$
or $\frac{n - 1}{99 - (n - 1)} = \frac{n - 1}{100 - n} = 2 \Rightarrow n = 67$

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There are 100 persons sitting at equal distances in a row XY. N2O gas (laughing gas) is released from the side X and tear gas (mol.mass = 176) from side Y at the same moment and at the same pressure. The person who will have a tendency to laugh and weep simultaneously is ?

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There are 100 persons sitting at equal distances in a row XY. $N_{2} O$ gas (laughing gas) is released from the side X and tear gas (mol.mass = 176) from side Y at the same moment and at the same pressure. The person who will have a tendency to laugh and weep simultaneously is ?