The mean of four observations is $3$. If the sum of the squares of these observations is $48$,then their standard deviation is

  • A
    $\sqrt{7}$
  • B
    $\sqrt{2}$
  • C
    $\sqrt{3}$
  • D
    $\sqrt{5}$

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In an experiment on photoelectric emission from a metallic surface,the wavelength of incident light is $2 \times 10^{-7} \ m$ and the stopping potential is $2.5 \ V$. The threshold frequency of the metal (in $Hz$) is approximately (charge of electron $e = 1.6 \times 10^{-19} \ C$,Planck's constant $h = 6.6 \times 10^{-34} \ J \cdot s$):

Match the following lists:
List-$I$List-$II$
$(A)$ Benzene$1$. Phosgene
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$(C)$ Acetaldehyde$3$. Mustard gas
$(D)$ Chloroform$4$. $(4n + 2) \pi$ electrons
$5$. Carbylamine

The correct matching is:

Which of the following has the highest melting point?

The enthalpy change $(\Delta H)$ for the reaction,$N_{2(g)} + 3H_{2(g)} \to 2NH_{3(g)}$ is $-92.38 \ kJ$ at $298 \ K$. The internal energy change $\Delta U$ at $298 \ K$ is $..... \ kJ$.

If the distance between the points $(a \cos \theta, a \sin \theta)$ and $(a \cos \phi, a \sin \phi)$ is $2a$,then $\theta$ is equal to

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