A particle of mass m is moving |CENTRE OF MASS|JEE MAIN 2020

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JEE MAIN 2020

09-02-2020 S2

Question

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 $10 m$ at rest and then moves with half its initial kinetic energy (see figure). If $\sin \theta_1=\sqrt{n} \sin \theta_2$ then value of $n$ is $\_\_\_\_$ .

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JEE Main

Physics

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If $1+\frac{\sqrt{3}-\sqrt{2}}{2 \sqrt{3}}+\frac{5-2 \sqrt{6}}{18}+\frac{9 \sqrt{3}-11 \sqrt{2}}{36 \sqrt{3}}+\frac{49-20 \sqrt{6}}{180}+\cdots$. upto $\infty=2\left(\sqrt{\frac{b}{a}}+1\right) \log _e\left(\frac{a}{b}\right)$, where a and b are integers with $...

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If the constant term in the expansion of $\left(\frac{\sqrt[5]{3}}{x}+\frac{2 x}{\sqrt[3]{5}}\right)^{12}, x \neq 0$, is $\alpha \times 2^8 \times \sqrt[5]{3}$, then...

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