Day 635: JEE Mains Physics

1. A.
   $65\Omega$
2. B.
   $20\Omega$
3. C.
   $5\Omega$
4. D.
   $2\Omega$

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1. A.
   $\frac{2Q}{3\sqrt{3}\pi\varepsilon_{0}a^{2}}(\widehat{x} + \widehat{y} + \widehat{z})$
2. B.
   $\frac{Q}{3\sqrt{3}\pi\varepsilon_{0}a^{2}}(\widehat{x} + \widehat{y} + \widehat{z})$
3. C.
   $\frac{- 2Q}{3\sqrt{3}\pi\varepsilon_{0}a^{2}}(\widehat{x} + \widehat{y} + \widehat{z})$
4. D.
   $\frac{- Q}{3\sqrt{3}\pi\varepsilon_{0}a^{2}}(\widehat{x} + \widehat{y} + \widehat{z})$

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1. A.
   (A)-(ii), (B)- (i), (C)-(iv), (D)-(iii)
2. B.
   (A)-(ii), (B)- (iv), (C)-(i), (D)-(iii)
3. C.
   (A)-(ii), (B)- (i), (C)-(iii), (D)-(iv)
4. D.
   (A)-(iii), (B)- (iv), (C)-(i), (D)-(ii)

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1. A.
   Fermi-level of $p$ and $n$-type semiconductors will not be affected.
2. B.
   Fermi-level of p-type semiconductors will go downward and Fermi-level of n-type semiconductor will go upward.
3. C.
   Fermi-level of both $p$-type and n-type semiconductors will go upward for $T > T_{F}K$ and downward for $T < T_{F}K$, where $T_{F}$ is Fermi temperature.
4. D.
   Fermi-level of p-type semiconductor will go upward and Fermi-level of n-type semiconductors will go downward.

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