The electric field at 20 cm from the center of a conducting sphere of radius 2 cm is \( 4.5 \times 10^3 \, \text{N C}^{-1} \). The magnitude of charge on the sphere is:

In a cyclotron, if a deutron can gain a maximum energy of 40 MeV, then a proton can gain a maximum energy of _________

If the electric field is given by \((6\hat{i} + 3\hat{j} + 4\hat{k}) \text{ V/m}\). The electric flux through a surface of area \(20 \text{ m}^2\) lying in Y-Z plane would be (in V-m).

The wavelength of radiation emitted, when \( \text{He}^{+} \) makes a transition from the state n = 3 to the state n = 2 will be :
(Take Rydberg constant \( R = 1.097 \times 10^{7} \text{ m}^{-1} \))

"In the nuclear reaction below, a neutron hits a uranium nucleus.
\( n + ^{235}_{92}\text{U} \rightarrow ^{a}_{54}\text{Xe} + ^{94}_{b}\text{Sr} + 2n \)
The values of a and b are respectively :

A semiconductor has an electron concentration of \( 8 \times 10^{13} \text{ m}^{-3} \) and hole concentration of \( 2 \times 10^3 \text{ m}^{-3} \). The semiconductor behaves as:

An electron beam passes through a region of magnetic field of \( 2 \times 10^{-3} \text{ T} \) and an electric field of \( 3.2 \times 10^4 \text{ V m}^{-1} \), both acting perpendicular to each other. If the path of the electron remains undeviated calculate the speed of electron : [Mass of electron \( = 9.1 \times 10^{-31} \text{ kg} \)]

Propene on addition with bromine in CCl4 gives

The reduction of cyclohexanone with \(NaBH _4\) produces

Answer the question on the basis of passage given below :
Formaldehyde is the first member of the aldehydic series. It is present in green leaves of plants where its presence is supposed to be due to the reaction of \(CO_2\) with water in the presence of sunlight and chlorophyll. Commercially, formaldehyde is obtained by the controlled oxidation of methane in the presence of molybdenum oxide (\(MoO\)) acting as a catalyst. Formaldehyde is a constituent of a number of polymers also called resins. These are non volatile solids or semi solids which are obtained directly from certain plants and can be synthesized in the laboratory.
Benzaldehyde is less reactive towards nucleophilic addition reaction than formaldehyde because of:

A uniformly charged sphere of \( 80 \text{ } \mu\text{C} \) and radius 2 cm is placed in air.
The electric field intensity at a point 20 cm from the center of the sphere is:

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

Which one of the followings is not a feature of insecticidal protein crystals formed by Bacillus thuringiensis: -