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A tunnel through a mountain for a four-lane highway is to have an elliptical opening. The total width of the highway (not the opening) is to be 16m, and the height at the edge of the road must be sufficient for a truck 4m high to clear if the highest point of the opening is to be 5m approximately. How wide must the opening be

Answer: Solution: AA’ = 16 m OA = 8 cm OB = 5m Equation of ellipse = (x2/82) + (y2/52)... View Article

The current sensitivity of a moving coil galvanometer can be increased bya) Increasing the magnetic field of the permanent magnet b) Increasing the area of the deflecting coil c) Increasing the number of turns in the coil d) Increasing the restoring couple of the coil

The correct options are (a) , (b) and (c) Solution Current sensitivity of the moving coil galvanometer = Current... View Article

Increasing the current sensitivity of a galvanometer may not necessarily increase its voltage sensitivity. Give reasons

Solution: Current sensitivity of the moving coil galvanometer = nBA/k here n = number of turns A= area of the... View Article

Calculate the binding energy and binding energy per nucleon (in MeV) of a nitrogen nucleus (7N14) from the following data : Mass of proton = 1.00783 u, Mass of neutron = 1.00867 u, Mass of nitrogen nucleus = 14.00307 u

Solution In 14N7 : Number of protons = 7, Number of neutron = 7 Total number of nucleons = 7... View Article

In which one of the hydrated crystals, water molecules present in the interstitial spaces? (a) BaCl2. 2H2O (b) [Cu(H2O)2 (NH3)2] Cl2 (c)CuSO4. 5H2O (d) [Cr(H2O)5]3+ . 3Cl-

Solution: (a) BaCl2. 2H2O Interstitial water molecules found in BaCl2. 2H2O salt. There are two interstitial water present in barium... View Article

The amine ‘A’ when treated with nitrous acid gives yellow oily substance. The amine A is : (a) triethylamine (b) trimethylamine (c) aniline (d) methylphenylamine

Solution: (d) Methylphenylamine Primary amines react with HNO2 evolved nitrogen Gas and from a Clear Solution Secondary amines react with... View Article

Choose the correct answer among the alternatives given, One mole of ethyl acetate on treatment with an excess of LiAlH4 in dry ether and subsequent acidification produces: (a) 1 mol of acetic acid + 1 mol of ethyl alcohol (b) 1 mol of ethyl alcohol + 1 mole of methyl alcohol (c) 2 mol of ethyl alcohol (d) 1 mol of 2-butanol

Solution: (c) \(\begin{array}{l} CH_{3}COOC_{2}H_{5} \xrightarrow[dryether]{LiAlH_{4}/H_{3}O^{+}} CH_{3}CH_{2}OH + C_{2}H_{5}OH\end{array} \) Ethyl Acetate on treatment with LiAlH4 under go reductions gives 2 moles... View Article

If ‘n’ represents total number of asymmetric carbon atoms in a compound, the possible number of optical isomers of the compound is

Solution: Stereoisomers are compounds with the same chemical formula but different spatial arrangement. An asymmetric carbon atom (chiral carbon) is... View Article

CH3CHO and C6H5CH2CHO can be distinguished chemically by : (a) Benedict test (b) Iodoform test (c) Tollen’s reagent test (d) Fehling solution test

Solution: (B) CH3CHO and C6H5CH2CHO both are adehyde so they can give the test of Tollen’s reagent, Fehlings solution and... View Article

The IUPAC name of CH3OC2H5 is: (a) Ethoxy methane (b) Methoxy ethane (c) Ethyl methyl ether (d) Methyl ethyl ether

Solution (b) The ethernal oxygen is taken with a smaller alkyl group and forms a part of the alkoxy group... View Article

Thomas slag is: (a) CaSiO3 (b) Ca3(PO4)2 (c) MnSiO3 (d) CaCO3 (e) none of the above

Solution: (E) none of the above Thomas slag is tetracalcium phosphate Ca4(PO4)2O. It has Ca/P ratio of 2. It was... View Article

Iodoform test is not given by:(a) 2-Pentanone (b) Ethanol (c) Ethanal (d) 3-pentanone

Solution:(d) 3-pentanone Iodoform test: Iodoform test is used to check the presence of carbonyl compounds with the structure R-CO-CH3 or... View Article

Benzene react with CH3CH2CH2Cl in presence of AlCl3 produces

Solution: Benzene undergo Fredel Carft alkylation reaction at room temperature with a chloroalkane (chloropropane) in the presence of aluminium chloride... View Article

Bell metal contains 80% copper. The mass of Bell metal which contains 1.5×10^20 atoms of copper is (Cu=64)

Solution: The bell metal contains 80% copper. 100 gm of bell metal contains 80 gm of copper. Molecular mass of... View Article

125 mL of 63% (w/v) H2C2O4 ⋅2H2O solution is made to react with 125 mL of a 40%(w/v) NaOH solution. The resulting solution is: (a) Neutral (b) Acidic (c) Strongly acidic (d) Alkaline

Solution: (a) Given 125 mL of 63% (w/v) H2C2O4 ⋅2H2O solution. Concentration (Normality )of H2C2O4 ⋅2H2O is N = (w/eq.W ) x... View Article

The major binding force of diamond, silicon and quartz is (a) Electrostatic force (b) Electrical attraction (c) Covalent bond force (d) Non covalent force (e) Van der Waals forces

Solution (c) The major binding force of diamond, silicon and quartz is covalent bond force. Diamond is a covalent solid.... View Article

The hybridization of atomic orbitals of nitrogen in NO2+, NO3− and NH4+are

Solution: Steric number = number of atom bonded + lone pair of electrons (i) Hybridisation of N in NO2+ is: ... View Article

A cheap, conventional, commercial and inexhaustible source of energy is: (a) Hydropower (b) Solar energy (c) Wind energy (d) Thermal energy

Solution: (a) Flowing water creates energy that can be captured and turned into electricity. This is called hydroelectric power or... View Article

Sulphur dioxide is a/an (a) basic oxide (b) acidic oxide (c) neutral oxide (d) amphoteric oxide

Solution:(b) SO2 is acidic in nature. All non-metallic oxides are acidic in nature because they react with water to produce... View Article

The products formed in the hydrolysis of ICl are: (A) HI+HCl (B) HI+HOCl (C) HCl+HOI (D) HOCl+HOI

Solution:(c) ICl + H2O → HCl + HOI In the hydrolysis of ICl, the products are HCl + HOI. During... View Article

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