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QJEE MAIN 2025
Uniform magnetic fields of different strengths $\left( {{B_1}} \right.$ and $\left. {{B_2}} \right)$, both normal to the plane of the paper exist as shown in...
JEE MainPhysicsHard
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QJEE MAIN 2025
In the following circuit, the reading of the ammeter will be
( Take Zener breakdown voltage = 4V)
JEE MainPhysicsMedium
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QJEE MAIN 2025
The system of equations
$x+y+z=6$,
$x+2 y+5 z=9$,
$x+5 y+\lambda z=\mu$,
has no solution if
JEE MainMathematicsEasy
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QJEE MAIN 2025
Let $x=x(y)$ be the solution of the differential equation $y=\left(x-y \frac{d x}{d y}\right) \sin \left(\frac{x}{y}\right), y>0$ and $x(1)=\frac{\pi}{2}$ Then $\cos (x(2))$ is equal to...
JEE MainMathematicsMedium
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QJEE MAIN 2025
Two harmonic waves moving in the same direction superimpose to form a wave $x = {\rm{a}}\cos (1.5{\rm{t}})\cos (50.5{\rm{t}})$ where t is in seconds. Find the...
JEE MainPhysicsMedium
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QJEE MAIN 2025
The length of the chord of the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{2}=1$, whose mid-point is $\left(1, \frac{1}{2}\right)$, is :
JEE MainMathematicsMedium
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QJEE MAIN 2025
A board has 16 square as shown in the figures : Out of these 16 squares, two squares are chosen at random. The probability that...
JEE MainMathematicsEasy
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QJEE MAIN 2025
A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is 1 cm ,...
JEE MainMathematicsMedium
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QJEE MAIN 2025
A particle of charge q, mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and undergoes a circular arc of...
JEE MainPhysicsMedium
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QJEE MAIN 2025
Let $\mathrm{A}=\left[\mathrm{a}_{\mathrm{ij}}\right]$ be a $3 \times 3$ matrix such that $\mathrm{A}\left[\begin{array}{l}0 1 0\end{array}\right]=\left[\begin{array}{l}0 0 1\end{array}\right], \mathrm{A}\left[\begin{array}{l}4 1 3\end{array}\right]=\left[\begin{array}{l}0 1 0\end{array}\right]$ and $...
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