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QJEE MAIN 2022
The molar heat capacity for an ideal gas at constant pressure is $20.785 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$. The change in internal energy is 5000 J upon...
JEE MainChemistryEasy
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QJEE MAIN 2022
Let the equation of two diameters of a circle $x^2+y^2-2 x+2 f y+1=0$ be $2 p x-y=1$ and $2 x+p y=4 p$. Then the slope...
JEE MainMathematicsMedium
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QJEE MAIN 2022
Amongst the following the number of oxide(s) which are paramagnetic in nature is $\mathrm{Na}_2 \mathrm{O}, \mathrm{KO}_2, \mathrm{NO}_2, \mathrm{~N}_2 \mathrm{O}, \mathrm{ClO}_2, \mathrm{NO}, \mathrm{SO}_2, \mathrm{Cl}_2 \mathrm{O}$
JEE MainChemistryEasy
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QJEE MAIN_2022
If the function $f(x)=\left\{\frac{\log e\left(1-x+x^2\right)+\log e\left(1+x+x^2\right)}{\sec x-\cos x}, x \in\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)-\{0\}\right.$ is continuous at $x=0$, then $k$ is equal to: ${ }_{x=0}^k$ :
JEE MainMathematicsMedium
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QJEE MAIN 2022
If $\lim _{n \rightarrow \infty} \frac{(n+1)^{k-1}}{n^{k+1}}[(n k+1)+(n k+2)+\ldots+(n k+n)]=33 . \lim _{n \rightarrow \infty} \frac{1}{n^{k+1}}\left[1^k+2^k+3^k+\ldots . .+n^k\right]$, then the integral value of k is equal...
JEE MainMathematicsEasy
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QJEE MAIN 2022
JEE MainChemistryEasy
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QJEE MAIN_2022
Consider two G.Ps. $2,2^2, 2^3$, ann and $4,4^2, 4^3$ of 60 and $n$ terms respectively. If the geometric mean of all the $60+n$ terms is...
JEE MainMathematicsMedium
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QJEE MAIN 2022
Let $...
JEE MainMathematicsHard
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QJEE MAIN 2022
Let $a_1=b_1=1, a_n=a_{n-1}+2$ and $b_n=a_n+b_{n-1}$ for every natural number $n \geq 2$. Then $\sum_{n=1}^{15} a_n \cdot b_n$ is equal to$\_\_\_\_$ .
JEE MainMathematicsMedium
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QJEE MAIN 2022
20 mL of $0.02 \mathrm{M} \mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$ solution is used for the titration of 10 mL of $\mathrm{Fe}^{2+}$ solution in the acidic medium. The...
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