Collapsible balloon is inflated to a volume of \( 10 \mathrm{~L} \) at a pressure of \( 1 \mathr...

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Collapsible balloon is inflated to a volume of \( 10 \mathrm{~L} \) at a pressure of \( 1 \mathrm{~atm} \). When the balloon is immersed to the bottom of a lake, its volume reduce to \( 1.25 \mathrm{~L} \). Assuming atmospheric pressure to be equivalent to \( 10 \mathrm{~m} \) column of water and no change in temperature, if the depth of the lake is \( x \times 10^{3} \mathrm{~cm} \), what is the value of \( x \) ?
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