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QJEE MAIN 2020
A light ray enters a solid glass sphere of refractive index $\mu=\sqrt{3}$ at an angle of incidence $60^{\circ}$. The ray is both reflected and refracted...
JEE MainPhysicsMedium
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QJEE MAIN 2020
An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is $2 \Omega$. The potential difference (in V )...
JEE MainPhysicsEasy
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QJEE MAIN 2020
If for $x \geq 0, y=y(x)$ is the solution of the differential equation, $(x+1) d y=\left((x+1)^2+y-3\right) d x, y(2)=0$, then $\mathrm{y}(3)$ is equal to $\_\_\_\_$...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A particle of mass $m$ is moving along the $x$-axis with initial velocity $u \hat{i}$. It collides elastically with a particle of mass $10 m$...
JEE MainPhysicsHard
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QJEE MAIN 2020
The number of distinct solutions of the equation, $\log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $[0,2 \pi]$, is $\_\_\_\_$ .
JEE MainMathematicsEasy
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QJEE MAIN 2020
If the vectors, $\vec{p}=(a+1) \hat{i}+a \hat{j}+a \hat{k}$, $\overrightarrow{\mathrm{q}}=\mathrm{a} \hat{\mathrm{i}}+(\mathrm{a}+1) \hat{\mathrm{j}}+\mathrm{a} \hat{\mathrm{k}}$, and $\vec{r}=a \hat{i}+a \hat{j}+(a+1) \hat{k}(a \in R)$ are coplanar and $...
JEE MainMathematicsEasy
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QJEE MAIN 2020
A wire of density $9 \times 10^{-3} \mathrm{~kg} \mathrm{~cm}^{-3}$ is stretched between two clamps 1 m apart. The resulting strain in the wire is $...
JEE MainPhysicsHard
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QJEE MAIN 2020
The coefficient of $x^4$ in the expansion of $\left(1+x+x^2\right)^{10}$ is. $\_\_\_\_$
JEE MainMathematicsEasy
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QJEE MAIN 2020
A square shaped hole of side $I=\frac{a}{2}$ is carved out at a distance $d=\frac{a}{2}$ from the centre ' $O$ ' of a uniform circular disk...
JEE MainPhysicsMedium
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QJEE MAIN 2020
The projection of the line segment joining the point (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2, 3)...
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