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JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Out of Syllabus
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A radioactive nucleus decays by two different process. The half life of the first process is 5 minutes and that of the second process is $30 \mathrm{~s}$. The effective half-life of the nucleus is calculated to be $\frac{\alpha}{11} \mathrm{~s}$. The value of $\alpha$ is __________.

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2
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
As shown in figure, a cuboid lies in a region with electric field $E=2 x^{2} \hat{i}-4 y \hat{j}+6 \hat{k} \mathrm{~N} / \mathrm{C}$. The magnitude of charge within the cuboid is $n \in_{0} C$.

The value of $n$ is _________ (if dimension of cuboid is $1 \times 2 \times 3 \mathrm{~m}^{3}$ )

JEE Main 2023 (Online) 30th January Evening Shift Physics - Electrostatics Question 45 English
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3
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
A stone tied to $180 \mathrm{~cm}$ long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration of stone is $\frac{1936}{x} ms^{-2}$. The value of $x$ ________. (Take $\pi=\frac{22}{7}$ )
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