A capacitor of capacitance \( C = 10 \text{ } \mu\text{F} \) is charged by connecting it to a battery of emf 12 V. The capacitor is now disconnected and reconnected to the battery with the polarity reversed. The heat developed in the connecting wires will be:

The winding of the solenoid with 1000 turns per meter, core material with relative permeability 400 and carrying a current of 2 A, the magnetisation (M) is approximately given by :

Match List-I with List-II

List-I (EM Waves)	List-II (Production)
(A) Infra-red rays	(I) Electrons in atoms emit light when they move from one energy level to a lower level
(B) Visible light rays	(II) Radioactive decay of the nucleus
(C) Ultraviolet rays	(III) Vibration of molecules
(D) Gamma rays	(IV) Inner shell electrons in atoms moving from one energy level to a lower level

Choose the correct answer from the options given below:

The current gain of a transistor in a common base arrangement is 0.95. Find the voltage gain if the load resistance of output circuit is 200 \( \text{k}\Omega \) and the input resistance is 200 \( \Omega \)

If the net flux through a cube is \( \Phi = 1.05 \, N \, m^2 C^{-1} \), what will be the total charge inside the cube?
(Given: The permittivity of free space is \( \epsilon_0 = 8.85 \times 10^{-12} \, C^2 N^{-1} m^{-2} \)).

When the light of frequency \(2 \nu_0\) (where \(\nu_0\) is the threshold frequency) is incident on a photosensitive material, the maximum velocity of electrons emitted is \(v_1\). When the frequency of the incident radiation is increased to \(3 \nu_0\), the maximum velocity of emitted electrons from the same material is \(v_2\). The ratio of \(v_1\) to \(v_2\) will then be :

A telescope has an objective of focal length 50 cm and eyepiece of focal length 5 cm. The least distance of distinct vision is 25 cm. The telescope is focused for distant vision on a scale 200 cm away from the objective. Calculate the separation between objective and eyepiece :

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 oxidizing 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.
Formalin which is used to preserve biological specimen is an aqueous solution of

Arrange the following steps of experiments performed by Griffith in correct series.
(A) 'S' strain injected into mice → Mice died
(B) 'S' strain (Heat killed) → injected into mice Mice lived
(C) 'R' strain injected into mice → Mice lived
(D) 'S' strain (Heat killed) + 'R' Strain (Live) → injected into mice Mice died
Choose the correct answer from the options given below :

The IUPAC name of the following compound is

The mass defect (\( \Delta M \)) for a nucleus of mass number (A), atomic number (Z) and mass (M) is given by:

The biodiversity is ______ at lower altitudes and ______ with increasing higher latitudes.

\(\int \tan ^{-1} \sqrt{x} d x\) equals to : (Here \(C\) is an arbitrary constant)