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JEE MAIN 2020
02-09-20 S1
Question
The figure that is not a direct manifestation of the quantum nature of atoms is
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Explanation of variation of internal energy of Ar with temperature (Straight line and $\mathrm{U} \propto \mathrm{T}$ ) is not a direct manifestation of the quantum nature of atoms. While explanation of absorption spectrum, nature of emission of radiation from hot bodies (black body radiation) and photoelectric effect are direct manifestation of the quantum nature of atoms.
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Showing 18 questions
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Let $e$ be the base of natural logarithm and let $f:\{1,2,3,4\} \rightarrow\left\{1, e, e^2, e^3\right\}$ and $...
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QJEE MAIN_2026
\text { The area of the region }\left\{(x, y): 0 \leq y \leq 6-x, y^2 \geq 4 x-3, x \geq...
JEE MainMathematicsEasy
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QJEE MAIN_2026
The value of the integral $\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\left(\frac{32 \cos ^4 x}{1+e^{\sin x}}\right) d x$ is:
JEE MainMathematicsMedium
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QJEE MAIN 20262026
The area of the region $\left\{(x, y): 0 \leq y \leq 6-x, y^2 \geq 4 x-3, x \geq 0\right\}$ is:
JEE MainMathematicsEasy
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QJEE MAIN 20262026
Let $f:[1, \infty) \rightarrow \mathbf{R}$ be a differentiable function defined as $f(x)=\int_1^x f(\mathrm{t}) \mathrm{dt}+(1-x)\left(\log _0 x-1\right)+\mathrm{e}$. Then the value of...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
The value of $\lim _{x \rightarrow 0}\left(\frac{x^2 \sin ^2 x}{x^2-\sin ^2 x}\right)$ is:
JEE MainMathematicsEasy
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QJEE MAIN_2026
Let a line L be perpendicular to both the lines $\mathrm{L}_1: \frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7}$ and $\mathrm{L}_2: \frac{x-2}{1}=\frac{y-4}{4}=\frac{z-6}{7}$. If $\theta$ is the acute...
JEE MainMathematicsEasy
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QJEE MAIN 20262026
Let $\left(2^{1-a}+2^{1+a}\right), f(a),\left(3^a+3^{-a}\right)$ be in A.P. and $\alpha$ be the minimum value of $f(a)$. Then the value of the integral...
JEE MainMathematicsMedium
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QJEE MAIN_2026
$\mathrm{SF}_4$ is isostructural with: A. $\mathrm{BrF}_4{ }^{!}$ B. $\mathrm{CH}_4$ C. $\mathrm{IF}_4^{\oplus}$ D. $\mathrm{XeF}_4$ E. $\mathrm{XeO}_2 \mathrm{~F}_2$ Choose the correct answer...
JEE MainPhysicsMedium
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QJEE MAIN_2026
Let the image of the point $\mathrm{P}(1,6, a)$ in the line $\mathrm{L}: \frac{x}{1}=\frac{y-1}{2}=\frac{z-a+1}{b}, b>0$, be $\left(\frac{a}{3}, 0, a+c\right)$. If $...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
Let $f(x)=\lim _{y \rightarrow 0} \frac{(1-\cos (x y)) \tan (x y)}{y^3}$. Then the number of solutions of the equation $...
JEE MainMathematicsMedium
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QJEE MAIN 20262026
Let $S=\{\theta \in(-2 \pi, 2 \pi): \cos \theta+1=\sqrt{3} \sin \theta\}$. Then $\sum_{\theta \in S} \theta$ is equal to:
JEE MainMathematicsEasy
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QJEE MAIN 20262026
Let $O$ be the origin, $\overrightarrow{O P}=\vec{a}$ and $\overrightarrow{O Q}=\vec{b}$. If $R$ is the point on $\overrightarrow{O P}$ such that...
JEE MainMathematicsEasy
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QJEE MAIN_2026
The first and second ionization constants of a weak dibasic acid $\mathrm{H}_2 \mathrm{~A}$ are $8.1 \times 10^{-8}$ and $...
JEE MainPhysicsHard
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QJEE MAIN 20262026
\text { Let } 0<\alpha<1, \beta=\frac{1}{3 \alpha} \text { and } \tan ^{-1}(1-\alpha)+\tan ^{-1}(1-\beta)=\frac{\pi}{4} \text {. Then } 6(\alpha+\beta) \text { is equal to: }
JEE MainMathematicsEasy
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QJEE MAIN 20262026
If the distance of the point $(a, 2,5)$ from the image of the point $(1,2,7)$ in the line $\frac{x}{1}=\frac{y-1}{1}=\frac{z-2}{2}$ is...
JEE MainMathematicsEasy
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