1
JEE Main 2024 (Online) 8th April Evening Shift
Numerical
+4
-1

Molality of an aqueous solution of urea is $$4.44 \mathrm{~m}$$. Mole fraction of urea in solution is $$x \times 10^{-3}$$, Value of $$x$$ is ________. (Integer answer)

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2
JEE Main 2024 (Online) 8th April Evening Shift
Numerical
+4
-1

Wavenumber for a radiation having 5800 $$\mathop A\limits^o $$ wavelength is $$x \times 10 \mathrm{~cm}^{-1}$$ The value of $$x$$ is ________. (Integer answer)

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3
JEE Main 2024 (Online) 8th April Evening Shift
Numerical
+4
-1

Number of molecules having bond order 2 from the following molecules is _________.

$$\mathrm{C}_2, \mathrm{O}_2, \mathrm{Be}_2, \mathrm{Li}_2, \mathrm{Ne}_2, \mathrm{~N}_2, \mathrm{He}_2$$

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4
JEE Main 2024 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1

Let $$y=y(x)$$ be the solution curve of the differential equation $$\sec y \frac{\mathrm{d} y}{\mathrm{~d} x}+2 x \sin y=x^3 \cos y, y(1)=0$$. Then $$y(\sqrt{3})$$ is equal to:

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{12}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{4}$$
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