A charge q moves with a velocity of \(2 m s^{-1}\) along x-axis in a uniform magnetic field \(\vec{B} = \hat{i} + 2\hat{j} + 3\hat{k}\), then charge will experience a force

Two nuclei have mass numbers in the ratio \(3:5\). The ratio of their nucleus densities would be :

Which of the following statements are correct ?
(A) For a pair of nucleons, the force is attractive for distances larger than 0.8 fm.
(B) The density of a nucleus is dependent of A.
(C) Nuclides with same neutron number but different atomic number are called isotones.
(D) \( \beta^+ \) decay process is the conversion of neutron to proton.
(E) Plutonium undergoes fission with slow neutrons.
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If potential difference V applied across a metallic wire is increased by V, how will the drift velocity of the electrons change?

The current through a 4/3 \(\Omega\) external resistance connected to a parallel combination of two cells with emfs of 2 V and 1 V, internal resistances 1 \(\Omega\) and 2 \(\Omega\) respectively, is :

Match List-I with List-II

List-I	List-II
(A) Shunt resistance	(I) infinite resistance
(B) Ammeter resistance	(II) connected in parallel with the galvanometer coil
(C) An ideal voltmeter	(III) zero resistance
(D) An ideal ammeter	(IV) less than that of the shunt resistance

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Consider three long straight parallel wires as shown in the figure. Length of wire B is 25 cm. Choose the correct options based

(A) Net force experienced by wire B is \( 2 \times 10^{-4} \) N towards left
(B) Magnitude of repulsion force by wire A on B is \( 5 \times 10^{-4} \) N
(C) Magnitude of repulsion force by wire C on B is \( 2 \times 10^{-4} \) N
(D) Net force experienced by wire B is \( 2 \times 10^{-4} \) N towards right
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Primary Alkyl halide \(C _4 H _9 Br (X)\) reacts with alcoholic KOH to give the compound \((Y)\). Compound \((Y)\) is reacted with HBr to give \((Z)\) which is an isomer of \((X)\). When \((X)\) is reacted with \(Na /\) dry ether, it gives a compound \((T), C _8 H _{18}\), which is different from the compound formed when \(n\)-butyl bromide is reacted with \(Na /\) dry ether. The correct IUPAC name of (T) is:

If \(x\) is in the 1 st Quadrant, then the value of \(\tan ^{-1}\left(\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}\right)\) is :

Given \(\sum p_0 q_0=800, \sum p_0 q_1=1500, \sum p_1 q_1=1300\) and \(\sum p_1 q_0=900\), where subscripts 0 and 1 are used for base year and current year respectively. The Paasche's

Read the passage carefully and answer the Questions
In the formation of coordination complexes, if the inner \(d\) orbital \((n - 1)d\) is used in hybridisation, the complex, is called an inner orbital or low spin or spin paired complex. And if it uses outer \(d\) orbital \((nd)\) in hybridisation (like \(sp^3d^2\)), it is called outer orbital or high spin or spin free complex. The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the complex. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting. For coordination complexes, the magnetic moment is determined by the number of unpaired electrons and is calculated by using the 'spin-only' formula, \(\mu = \sqrt{n(n+2)}\) where \(n\) is the number of unpaired electrons and \(\mu\) is the magnetic moment in units of Bohr magneton \((BM)\). The coordination compounds are of great importance. These compounds are widely present in the mineral, plant and animal worlds and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine.
Which of the following complex has the highest magnetic moment?

Answer the question on the basis of passage given below :
There are some deposits of nitrates and phosphates in the earth’s crust. Nitrates are more soluble in water. Nitrates are difficult to reduce under laboratory conditions, but microbes do it easily. Ammonia forms a large number of complexes with transition metals. Hybridisation easily explains the ease of sigma donation capability of NH₃ and PH₃. Phosphine is an inflammable gas, it is prepared from white phosphorus.
White phosphorus on reacting with NaOH gives \(NaH _2 PO _2\) and \(PH _3\) as products. This is an example of.

Match List - I with List - II.

List - I	List - II
(A) Metals	(I) Elements/compounds
(B) Pure semiconductors	(II) Extrinsic semiconductor
(C) Doped semiconductor	(III) Low resistivity
(D) Semiconductors	(IV) Intrinsic semiconductors

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