A coil of inductive reactance\[32\,\,\Omega \], has a resistance of\[8\,\,\Omega \]. It is placed in series with a condenser of capacitive reactance\[26\,\,\Omega \]. The combination is connected to an AC source of 110 V. The power factor of circuit is
A particle of mass M moves in a circular path of radius R under the action of a force \[F=\frac{M{{\nu }^{2}}}{R}\]. The work done by force F during its motion over half of the circumference of the circular path is
A long solenoid carrying a current produces a magnetic field B inside it. If the current is doubled and the mini of turns is halved, the new value of magnetic field is
A certain piece of wood contains 6 g of \[\operatorname{C} -14\] whose half-life is 2400 years. After 7200 years, the amount of \[\operatorname{C} -14\] left in that piece of wood will be
A capacitor is charged with a battery and energy stored is U. After disconnecting battery, another capacitor of same capacity is connected in parallel to the first capacitor. The energy stored in each capacitor is
A parallel plate capacitor of capacitance C, area A and plate separation d is filled with three different dielectric materials having dielectric constants \[{{K}_{1}},\,\,{{K}_{2}}\,\,and\,\,{{K}_{3}}\] as shown in figure. If a single dielectric material is used to have same capacitance C in this capacitor, then its equivalent dielectric constant \[{{K}_{eq}}\] is given by
A cylindrical tube, open at both ends has fundamental frequency V in air. The tube is dipped vertically in water, so that half of it is immersed in water. The fundamental frequency of air column is now
The driver of a car travelling with speed 30 m/s towards a hill sounds a horn of frequency 600 Hz. If the velocity of sound in air is 330 m/s, the frequency of reflected sound as heard by driver is
If the momentum of a photon of an electromagnetic radiation is \[3.3\,\,\times \,\,1{{0}^{-\,29}} kg m/s\], then the frequency of associated wave is \[\left[ h=6.6\times 1{{0}^{-\,34}} Js\,;\,\,c=3\times 1{{0}^{8}} m/s \right]\]
Four lenses of focal length \[\pm \,20 cm and \pm 200 cm\] are available for making a telescope. To produce the largest magnification, the focal length of eyepiece should be
In Young's double slit experiment, the fringe width is found to be 0.8 mm. If whole apparatus is immersed in water of refractive index \[\frac{4}{3}\], the new fringe width will be
Potential energy of a particle in a force field is given by \[U=\frac{A}{{{x}^{2}}}-\frac{B}{x}\] where, A and B are positive constant and x is distance of particle from centre of the field. For stable equilibrium, the distance of particle is
A circular disc of radius JR have mass 9M, if a small disc of radius \[\frac{R}{3}\] and mass M is removed concentrically. The moment of inertia of remaining disc about an axis perpendicular to the plane of the disc and passing through centre is
A block is placed on an inclined plane having angle of inclination \[\alpha \] If the block slide down the plane at a constant speed, then the coefficient of kinetic friction between block and inclined plane is equal to
If a bomb of mass 30 kg at rest explodes into two pieces of mass 12 kg and 18 kg. The velocity of 18 kg mass is 6 m/s, then the kinetic energy of other mass is
The acceleration a of a particle moving in a straight line varies with displacement s according to relation \[\operatorname{a}= 2s\], then velocity of the particle vary with displacement as (given that velocity is zero at zero displacement)
Least count of a stop watch is\[\frac{1}{2}\,\,s\]. The time of 30 oscillations of a pendulum is measured to be 40 s. The percentage error in measurement of time is
A copper wire of length 0.5 m and area of cross-section \[{{10}^{-\,3}}\,{{m}^{2}}\] carries a current of 0.1 A. If the resistivity of copper is \[1.8\,\,\times \,\,1{{0}^{-\,8}}\pi m\], the electric field across the wire is
In a photoelectric effect measurement, the stopping potential for a given metal is found to be \[{{V}_{0}}\] volt when radiation of wavelength \[{{\lambda }_{0}}\] is used. If radiation of wavelength \[2\,{{\lambda }_{0}}\] is used with the same metal then the stopping potential (in volt) will be
If a body move with a uniform acceleration and denote the average velocities in three successive intervals of time\[{{t}_{1}},\,\,{{t}_{2}},\,\,{{t}_{3}}\]. Which of the following relation is correct?
When the spring is loaded with 5 N, its length is A and when same string is loaded with 4 N, its length is B. What will be length of string when A is loaded with 9 N?
Consider the nuclear reaction\[{{\operatorname{D}}^{200}} \to {{A}^{110}} + {{B}^{80}}\]. If the binding energy per nucleon for D, A and B are 7.4 MeV. 8.2 MeV and 8.1 MeV respectively, the amount of energy released in the reaction is
A small block is shot into each of the four track, as shown below. Each of the frictions, track rises to the same height. The speed with which the block enters the tracks, is same in all cases. At highest point of the track normal reaction is maximum in
Three designs are proposed for an engine operating between 500 K and 300 K. For 1 kcal of heat input, design A claims to produce 3000 of work, design -B claims to produce 2000 J of work and design C claims to produce 1680 J of work. The design which is possible
Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperature is\[22{}^\circ C\]. During the day, temperature rises \[42{}^\circ C\] and the tube expands by\[2\,%\]. The pressure of the air in the tube at this temperature will be approximately
A particle performing SHM has time period \[\frac{2\pi }{\sqrt{3}}\]and path length 4 cm. The displacement from mean position at which acceleration is equal to velocity is
When a current I flows through a wire, the drift velocity of the electron is v. When current 2I flows through another wire of the same material having double the length and double the area of cross-section, the drift velocity of the electrons will be
In the figure shown,\[{{\operatorname{m}}_{1}}\,\,=\,\,10\,kg,\,\,\,{{m}_{2}}\,\,=\,\,6\,kg\],\[{{\operatorname{m}}_{3}}\,=\,\,4\,kg\]. If \[{{\operatorname{T}}_{3}}= 40 N\], then \[{{\operatorname{T}}_{2}}\] is
In an AC circuit, V and I are given by \[\operatorname{V} =100 sin(100\,t)\] volt and \[\operatorname{I} = 100 sin\,\left( 100\,t+\frac{\pi }{3} \right)amp\], the power dissipated in the circuit is
The most common secondary structures of proteins are a-helices and p-sheets. These structures arise due to the regular folding of the backbone of the polypeptides. Stability of helical structure of protein is due to
Nucleic acids are the polymers of nucleotides bonded with phosphodiester linkages. The nucleotides itself are made upto nitrogenous bases and pentose sugars. The nitrogenous bases present in nucleic acids can be purines and pyrimidines. According to change off rule it may always pair up with pyrimidines in DNA molecule. Then, the option with correct base pairing in DNA is
\[1{}^\circ , 2{}^\circ and 3{}^\circ \]alcohols can be distinguished by Lucas test Haloform test or by Victor Mayor test. Which of the following reagent is used to distinguish primary, secondary and tertiary alcohol?
Cycloketone reacting with \[{{\operatorname{NH}}_{2}}OH\] gives B which further reacting with \[{{H}_{2}}S{{O}_{4}}\] gives C. Find the product C and choose the correct option.
In a set of reactions, the final product D will be \[C{{H}_{3}}C{{H}_{3}}COOH\,\,\xrightarrow{SOC{{l}_{2}}}\,\,B\,\,\xrightarrow{N{{H}_{3}}}\,\,C\,\,\xrightarrow{KOH}\,D\]
Nucleophilic reagents are the species that are negatively charged or have an electron rich atom. They are called Lewis base. Which of the following has highest nucleophilicity?
An ester A with molecular formula \[{{C}_{9}}{{H}_{10}}{{O}_{2}}\] was treated with excess of \[{{\operatorname{CH}}_{3}}\,MgBr\] and the complex so formed was treated with \[{{H}_{2}}S{{O}_{4}}\] to give an olefin B ozonolysis of B gave a ketone with molecular formula \[{{\operatorname{C}}_{8}}{{H}_{8}}O\] which shows positive iodoform test, the structure of A is
\[Os{{O}_{4}}\] is highly toxic volatile substance. It is 518 times more soluble in \[CC{{l}_{4}}\] than in water. Product obtained on reaction of cyclopentene with osmium tetraoxide is
Nitroglycerin is a highly unstable and sensitive liquid whereas nitrocellulose can be high or low explosive depending on nitration level and conditions. \[CHC{{l}_{3}}\] on reaction with cone. \[\operatorname{HN}{{O}_{3}}\] produces
The usual covalency of an atom (except hydrogen covalencyl) is equal to 8-number of the group to which element belongs. This is applicable for non-metals of \[\operatorname{p}-block\] only \[{{N}_{2}}\], P, As, Sb all are \[\operatorname{p}-block\] elements, among the following which is most acidic
On the basis of VSEPR model the angular arrangement of the bonding pairs corresponds to the angular arrangement of the bonded atoms. Then, which of the following is correct regarding bond angle?
The acids are called hard acids if they tend to have the following characteristics such as small atomic and ionic radii, high oxidation state and low polarisability. Which of the following order is correct regarding acidic strength?
On the extreme left are groups I and n elements. These include alkali and alkaline earth metals or \[\operatorname{s}-block\] elements. These elements have strong electropositive character. Now, which of the following has largest size in aqueous ion?
If the electron is visualized as a classical charged particle laterally rotating about an axis with angular momentum L, its magnetic dipole moment M then find the magnetic moment of \[{{K}_{3}}[Fe{{F}_{6}}]\] is
Starting from the 2nd shell, there is a set of\[\operatorname{p}-orbital\]. The angular momentum of the electrons confined to\[\operatorname{p}-orbital\]. The number of spherical nodes present in 4p-orbital is
It was found that a unique set of conditions was responsible for ozone hole. In summer season, \[{{\operatorname{NO}}_{2}} and C{{H}_{4}}\] react with chlorine monoxide and chlorine atoms forming chlorine sinks, prevents much ozone depletion. Which of the following gas is harmful to ozone layer?
\[{{H}_{2}}O\,(s)\,\,\rightleftharpoons \,\,{{H}_{2}}O\,(l)\] The water and ice is at equilibrium at 273K and enthalpy change of process is \[6\text{ }kJ\text{ }mo{{l}^{-\,1}}\]. The entropy change of conversion of ice into liquid water is
Drugs are chemicals which interact with macromolecular targets and produce a biological response, when such response is therapentic, the chemicals are called medicines. Morphine is a
Hydrogen has three isotopes, deuterium is one of them and used in nuclear power plant for production of heavy water. The value of sum of electron, proton and neutrons of heaviest nuclear isotope of hydrogen is equal to
Choose the correct option which will fill the A, B and C correctly. \[4B+3C{{O}_{2}}\text{ }\xrightarrow{{}}\,\,A+C\] \[4B +3Si{{O}_{2}} \xrightarrow{{}}\,\,B +Si\] \[4B\,\,+\,\,6NO\,\xrightarrow{{}}\,\,C+3\,{{N}_{2}}\]
Photochemical smog had high concentration of oxidising agent and is therefore, called as oxidising smog. The main component of the photochemical smog arises from the action of sunlight on which photochemical smog.
Doping can be done with an impurity which is electron rich or electron deficient as compared to the intrinsic semiconductor silicon or germanium. Doping of silicon with boron leads to
Diamond has a FCC structure with two atoms per lattice point and a unit cell of edge length \[3.569\overset{{}^\circ }{\mathop{A}}\,\]. What will be the density of diamond?
There is a dynamic equilibrium established between the liquid and the vapour at a given temperature \[\operatorname{Liquid} \,\,vapour\] Which has maximum vapour pressure at a given temperature?
The enthalpy change and entropy change of any chemical reaction are \[-11.7\times {{10}^{3}}\,J\,mo{{l}^{-\,1}}\] and \[-105\,J\,mo{{l}^{-\,1}}\,\,{{K}^{-\,1}}\] respectively. What type of reaction is it? (Hint, \[\operatorname{temperature} = 25{}^\circ C\])
Hess's law states "The enthalpy change accompanying a chemical change is independent of the route by which the chemical change occurs". Then, we can conclude that Hess's law is used for determination of
Physisorption is reversible in nature. The extent of adsorption increases with the increase of surface area of the adsorbent. In physisorption the molecules of gases adsorbed are attached to adsorbent by
According to kinetic theory, the reactant molecules are assumed to be hard spheres and reaction is postulated to occur when molecules collide with each other. Pre-exponential factor in the expression obtained during collision theory is known as
The degree of dissociation of \[Ca{{\left( N{{O}_{3}} \right)}_{2}}\] in dilute aqueous solution, containing 7g of the salt per 100 g of water at \[100{}^\circ C is 70%\]. If the vapour pressure of water at \[100{}^\circ C\] is 760 mm Hg, the vapour pressure of the solution is
13.4 g of a sample of unstable hydrated salt, \[N{{a}_{2}}S{{O}_{4}}\,\,X{{H}_{2}}O\] was found to contain 6.3 g of water. Determine the number of water of crystallisation
Contraception is the method by which male and female gametes are not allowed to meet spermicide cream is one of these methods. Which of the following is the component of this cream?
Membranes are one of the most common features of biological world with the exception of some viruses, all living things depend in one way or another on membrane. Identify the scientist from the given option. Who has proposed unit membrane model?
A vaccine is a biological preparation that improves immunity to particular disease. Which of the following disease cannot be prevented by tripple vaccine?