For a gas,the deviation from ideal behavior is maximum at:

  • A
    $0\,^oC$ and $1.0\,atm$
  • B
    $100\,^oC$ and $2.0\,atm$
  • C
    $-13\,^oC$ and $1.0\,atm$
  • D
    $-13\,^oC$ and $2.0\,atm$

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In India,electricity is supplied for domestic use at $220 \,V$. It is supplied at $110 \,V$ in the $USA$. If the resistance of a $60 \,W$ bulb for use in India is $R$,what will be the resistance of a $60 \,W$ bulb for use in the $USA$?

$x=\cos ^{-1}\left(\frac{1}{\sqrt{1+t^2}}\right), y=\sin ^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right) \Rightarrow \frac{d y}{d x}$ is equal to

Match the following components of a cell with their respective percentage of the total cellular mass:
Components $\%$ of the total cellular mass
$A$. Water $1$. $10-15$
$B$. Proteins $2$. $70-90$
$C$. Carbohydrates $3$. $5-7$
$D$. Lipids $4$. $3$
$E$. Nucleic acids $5$. $2$
$F$. Ions $6$. $1$

Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is: (mass of the ring $= m$,radius $= r$)

Consider the following reactions at $1000\,^oC$:
$(I)$ $Zn_{(s)} + \frac{1}{2}O_{2(g)} \rightarrow ZnO_{(s)}; \Delta G^o = -360\,kJ\,mol^{-1}$
$(II)$ $C_{(s)} + \frac{1}{2}O_{2(g)} \rightarrow CO_{(g)}; \Delta G^o = -460\,kJ\,mol^{-1}$
Choose the correct statement at $1000\,^oC$.

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