In a $p-n$ junction diode,the direction of diffusion current is from

  • A
    $p-$ region to $n-$ region
  • B
    $n-$ region to $p-$ region
  • C
    $n-$ region to $p-$ region when forward biased and vice-versa when reverse biased
  • D
    $p-$ region to $n-$ region when forward biased and vice-versa when reverse biased

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Cellulose is a polymer of......

Some physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$List-$II$
$(1)$ Planck's constant$(i)$ $[ML^{-1} T^{-2}]$
$(2)$ Gravitational constant(ii) $[ML^{-1} T^{-1}]$
$(3)$ Bulk modulus(iii) $[ML^2 T^{-1}]$
$(4)$ Coefficient of viscosity(iv) $[M^{-1} L^3 T^{-2}]$

The correct answer is:

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If for $x \in \left( 0, \frac{1}{4} \right)$,the derivative of $\tan^{-1} \left( \frac{6x\sqrt{x}}{1 - 9x^3} \right)$ is $\sqrt{x} \cdot g(x)$,then $g(x)$ equals:

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