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QJEE MAIN 2024
Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height...
JEE MainPhysicsHard
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QJEE MAIN 2024
The electric current through a wire varies with time as $I=I_0+\beta \mathrm{t}$. where $I_0=20 \mathrm{~A}$ and $\beta=3 \mathrm{~A} / \mathrm{s}$. The amount of electric charge...
JEE MainPhysicsMedium
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QJEE MAIN 2024
In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of $I_z$ ?
JEE MainPhysicsMedium
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QJEE MAIN 2024
If $\alpha$ satisfies the equation $x^2+x+1=0$ and $(1+\alpha)^7=\mathrm{A}+\mathrm{B} \alpha+\mathrm{C} \alpha^2, \mathrm{~A}, \mathrm{~B}, \mathrm{C} \geq 0$, then $5(3 \mathrm{~A}-2 \mathrm{~B}-\mathrm{C})$ is equal to
Let $f(x)=x^3+x^2 f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime}(3), x \in R$. Then $f^{\prime}(10)$ is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2024
Let the set of all $a \in R$ such that the equation $\cos 2 x+a \sin x=2 a-7$ has a solution be $[p, q]$ and...
JEE MainMathematicsMedium
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QJEE MAIN 2024
A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required and let $\mathrm{a}=\mathrm{P}(\mathrm{X}=3), \mathrm{b}=\mathrm{P}(\mathrm{X} \geq 3)$...
JEE MainMathematicsHard
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QJEE MAIN 2024
If $8=3+\frac{1}{4}(3+p)+\frac{1}{4^2}(3+2 p)+\frac{1}{4^3}(3+3 p)+\cdots \infty$, then the value of $p$ is
JEE MainMathematicsEasy
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QJEE MAIN 2024
Let the area of the region $\left\{(x, y): x-2 y+4 \geq 0, x+2 y^2 \geq 0, x+4 y^2 \leq 8, y \geq 0\right\}$ be $\frac{m}{n}$,...
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