$A$ metal $M$ and its compound can give the following observable changes in a sequence of reactions:

  • A
    $Mg$
  • B
    $Pb$
  • C
    $Zn$
  • D
    $Sn$

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$A$. Tightly bound electrons of target material scatter $X$-ray photon,resulting in the Compton effect.
$B$. Photoelectric effect takes place with free electrons.

$\int_0^{\pi / 2} \frac{d x}{1+\tan ^3 x}$ is equal to :

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Let $R$ be a reflexive relation on a finite set $A$ having $n$ elements,and let there be $m$ ordered pairs in $R$. Then

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