Biot-Savart law indicates that the moving electrons (velocity \(\vec{v}\)) produce a magnetic field \(\vec{B}\) such that:

Two slits 0.1 mm apart with screen 2 m away produce fringe separation with 500 nm light. The separation is :

Choose the correct statements regarding infra red waves from the following.
(A) Infra red waves produced by hot bodies and molecules.
(B) This radiation is trapped by greenhouse gases such as \( CO_2 \) and water vapour.
(C) These waves are used in earth satellites.
(D) Exposure to these radiation induces the production of more melanin.
(E) These radiations are used in eye surgery.
Choose the correct answer from the options given below :

Three point charges +q, +q and -2q are placed at the corner of an equilateral triangle of side 'a'. The net dipole moment of the system is

If focal length of a concave lens is 50 cm, then the power of the lens would be

The magnitude of magnetic field inside a solenoid of length L = 0.3 m having N = 800 turns carrying a current of I = 6 A is

The energy of a photon of wavelength 1 \( \text{\AA} \) is
(Given: \( h = 6.63 \times 10^{-34} \text{ J s} \))

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Alcohols and phenols are formed when a hydrogen atom in a hydrocarbon, aliphatic and aromatic respectively is replaced by - OH group. These are further classified on the basis of number of hydroxy groups and according to the hybridization of the carbon atom \(sp ^2\) or \(sp ^3\) to which the -OH group is attached. They find applications in industry as well as in day-to-day life. One of the most commercially obtained alcohol also known as wood spirit is obtained by destructive distillation of wood. Both alcohols and phenols are acidic in nature. The acidity of alcohols and phenols vary according to the nature of substituent(s) attached to them. Alcohols and phenols react with carboxylic acids, acid chlorides and acid anhydrides to form esters. Introduction of acetyl group in alcohols and phenols is called acetylation. Phenol undergo electrophilic aromatic substitution reaction because the -OH activates the benzene ring. It undergoes nitration, halogenation and sulphonation reactions.
The final product of the following reaction is:

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Amines are considered to be derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. They are usually prepared from nitro compounds, halides, amides, imides etc. The presence of hydrogen bonding influences its physical properties. In alkylamines, a combination of electron releasing steric and hydrogen bonding factors influences the stability of substituted ammonium cations in protic polar solvents and thus affects the basic nature of amines. Alkyl amines are found to be stronger bases than ammonia which is more basic than water. Primary and secondary amines are engaged in intermolecular association due to hydrogen bonding. This intermolecular association is more in primary amines than in secondary amines. Tertiary amines do not have intermoleulcar association due to the absenceof hydrogen atom available for hydrogen bonding. Thus, the boiling point of amines depends on hydrogen bonding. In aromatic amines, electron releasing and withdrawing groups increase and decrease their basic character. Aryl diazonium salts usually obtained from arylamine undergo replacement of the diazonium group with a variety of nucleophile. Their coupling reaction of aryl diazonium salts with phenol or arylamine results in formation of dyes.
The most basic species in the following is

Area (in sq. units) of the region bounded by the curve \(y^2=4 x, y\)-axis and the line \(y=3\) is

Electrostatic shielding is the phenomenon of protecting a certain region of space from :

If the concentration of a reactant is reduced to half, the rate of reaction becomes \(\frac{1}{4}\). What will be the order of reaction?

Identify the enzyme that is used to clarify fruit juices before bottling.