Match List-I with List-II

List-I	List-II
(A) Resistive Circuit	(I) No power dissipation
(B) Purely inductive or capacitive circuit	(II) Maximum power dissipated because \( X_L = X_C \)
(C) LCR series circuit	(III) Power dissipated only in resistor
(D) Power dissipated at resonance in LCR circuit	(IV) Maximum power dissipation

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Match List-I with List-II

List- I	List- II
(A) For a series LC circuit	(I) Currents in L and C are 180° out of phase
(B) For a parallel LC circuit	(II) Power Factor=0
(C) For a purely capacitive circuit	(III) Voltage across L and C are 180° out of phase
(D) For a series LCR circuit at resonance	(IV) Reactance is zero

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The maximum distance between the transmitting and receiving antenna for a satisfactory communication in LOS mode is 48 Km . If the height of the receiving antenna is 8 (Given radius of earth \(R_e=6400 km\) )

Match List-I with List-II

List-I (Electromagnetic Waves)	List-II (Production)
(A) Radio waves	(I) Vibration of atoms and molecules
(B) X-rays	(II) originates from an atomic nucleus
(C) \( \gamma \)-radiation	(III) produced by accelerating electrons in a circuit
(D) infrared waves	(IV) emitted from heavy atoms

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The electric field vector associated with electromagnetic wave in free space is given by \(E=40 \cos \left(6 \times 10^8 t-k x\right) V m ^{-1}\). The value of \(k\) in SI unit is :

At equilibrium condition, the rate of generation of electron-hole pairs in Ge crystal

A long solenoid is formed by winding 40 turns/cm. The current required to produce a magnetic field of 22 mT inside the solenoid will be (Take \( \mu_0 = 4\pi \times 10^{-7} \, Tm A^{-1} \))

Two cards are drawn without replacement. The probability distribution of number of aces is given by :

Match List-I with List-II

List-I (Reaction Name)	List-II (Reaction)
(A) Rosenmund Reaction	(I)
(B) Stephen Reaction	(II)
(C) Gattermann Koch Reaction	(III)
(D) Etard Reaction	(IV)

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Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Oxidation states of Mn in \(MnO _2, KMnO _4\) and \(K _2 MnO _4\) are

Which body of the Government of India regulates GM research and safety of introducing GM organisms for public services?

Match List - I with List - II

List - I	List - II
(A) Impurity defect	(I) NaCl with anionic sites called F centres
(B) Metal excess defect	(II) FeO with Fe3+
(C) Metal deficiency defect	(III) Non ionic solids and density of solid decreases
(D) Simple vacancy defect	(IV) NaCl with Sr2+ and cationic sites vacant

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During electrolysis of acidified water, 2.8 Litre of oxygen gas is released (at STP). The charge passed through the anode is -