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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An LCR series circuit consisting of resistance 45 \( \Omega \), inductive reactance 4 \( \Omega \) and capacitive reactance 4 \( \Omega \) is connected to an alternating source of emf 90 V. The readings of the ammeter connected to the circuit would be

The first diffraction minima due to a single slit diffraction is at \(\theta=30^{\circ}\) for a light of wavelength \(5000 \AA\). The width of the slit is

Arrange the following nuclei in the ascending order of their stability.
(A) Oxygen (\( {}^{16}\text{O} \)) with binding energy 127.5 MeV
(B) Uranium (\( {}^{238}\text{U} \)) with binding energy 1808.8 MeV
(C) Helium (\( {}^{4}\text{He} \)) with binding energy 28.3 MeV
(D) Iron (\( {}^{56}\text{Fe} \)) with binding energy 490 MeV
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Two circular coils of diameter 10 cm and 20 cm, carrying equal currents have the same number of turns. The ratio of magnetic fields produced at the center of coils, respectively will be

For a given convex lens, if the object distance is:
(A) \(u = -\infty\)
(B) \(u = -2f\)
(C) \(u = -f\)
(D) \(u = -f/3\)
The distance of the image is arranged in decreasing order:
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The magnetisation at the centre of a bar magnet (magnetic length 10 cm), having pole strength 6.3 A m, and area of cross-section \(A = 0.70 \text{ cm}^2\) is

The major product of Kolbe's reaction is used for the synthesis of a precursor substrate in the preparation of aspirin
The electrophile used in Kolbe's reaction is

Homologous structures have :

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom. Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon atom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidixing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
In polar C-O bond in carbonyl compounds, the nature of carbon and oxygen atom is

Match List-I with List-II

List-I Maxwell's Equations in Vacuum (Left Part)	List-II Maxwell's Equations in Vacuum (Right Part)
(A) \(\oint \vec{B} ⋅­­ d\vec{l}\)	(I) \(- \left(\frac{dΦ_B}{dt}\right)\)
(B) \(\oint \vec{E} ⋅­­ d\vec{A}\)	(II) 0
(C) \(\oint \vec{E} ⋅­­ d\vec{l}\)	(III) \(\frac{Q}{ε_0}\)
(D) \(\oint \vec{B} ⋅­­ d\vec{A}\)	(IV) \(μ_0 i_c + μ_0 ε_0 \left(\frac{dΦ_E}{dt}\right)\)

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Which one of the following complexes shows optical isomerism?

For \(y=x e^x\), which of the following is correct ?