1
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
The velocity of a particle executing SHM varies with displacement $(x)$ as $4 v^{2}=50-x^{2}$. The time period of oscillations is $\frac{x}{7} s$. The value of $x$ is ___________. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
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2
JEE Main 2023 (Online) 30th January Evening Shift
Numerical
+4
-1
Change Language
A body of mass $2 \mathrm{~kg}$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in $4 \mathrm{~s}$ is $\frac{1}{3} \alpha^{2} \sqrt{P} m$. The value of $\alpha$ will be ______.
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3
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 97 English
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4
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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