1
JEE Main 2024 (Online) 30th January Morning Shift
Numerical
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$$0.05 \mathrm{~cm}$$ thick coating of silver is deposited on a plate of $$0.05 \mathrm{~m}^2$$ area. The number of silver atoms deposited on plate are ________ $$\times 10^{23}$$. (At mass $$\mathrm{Ag}=108, \mathrm{~d}=7.9 \mathrm{~g} \mathrm{~cm}^{-3}$$)

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2
JEE Main 2024 (Online) 30th January Morning Shift
Numerical
+4
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The compound formed by the reaction of ethanal with semicarbazide contains _________ number of nitrogen atoms.

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3
JEE Main 2024 (Online) 30th January Morning Shift
Numerical
+4
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The $$\mathrm{pH}$$ at which $$\mathrm{Mg}(\mathrm{OH})_2\left[\mathrm{~K}_{\mathrm{sp}}=1 \times 10^{-11}\right]$$ begins to precipitate from a solution containing $$0.10 \mathrm{~M} \mathrm{~Mg}^{2+}$$ ions is __________.

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4
JEE Main 2024 (Online) 30th January Morning Shift
Numerical
+4
-1
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$$2 \mathrm{MnO}_4^{-}+\mathrm{bI}^{-}+\mathrm{cH}_2 \mathrm{O} \rightarrow x \mathrm{I}_2+y \mathrm{MnO}_2+z \overline{\mathrm{O}} \mathrm{H}$$

If the above equation is balanced with integer coefficients, the value of $$z$$ is ________.

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