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The diagram shows a solenoid and a loop such that the solenoid’s axis lies in the plane of the loop. Both the solenoid and the loop carry constant currents in the directions as shown in the diagram. If the system is released from rest, the loop
The loop rotates anticlockwise due to magnetic torque and as a result north and south poles will attract each other.
A massless rod connecting two particles each of mass m at the ends is hinged at its centre, such that it can rotate in horizontal plane. A wire of linear charge density λ is placed at a distance r parallel to rod in same
horizontal plane. If one particle is slightly displaced, then angular frequency of small oscillations will be
Two hollow-core solenoids, A and B, are connected by a wire and separated by a large distance, as shown in the diagram. Two bar magnets, 1 and 2, are suspended just above the solenoids. If the magnet 1 is dropped through solenoid A as shown, then the magnet 2 will simultaneously be
As the magnet -1 falls into solenoid A, the magnetic flux associated with solenoid A increase. From Lenz's law induced current in solenoid A will oppose this increase in magnetic flux. Hence direction of induced current in solenoids is as shown. The naure of magnetic field produced by solenoid B is as shown. Therefore magnet 2 will be attacted by magnetic field due to solwnoid B.
Figure shows two large cylindrical shells having uniform linear charge densities +λ and – λ. Radius of inner cylinder is ‘a’ and that of outer cylinder is ‘b’. A charged particle of mass m, charge q revolves in a circle of radius r. Then its speed ‘v’ is : (Neglect gravity and assume the radii of both the cylinders to be very small in comparison to their length.)
Electric field between the two cylinders =
∴ Force on charge
this force is centripetal force
The voltage applied to an X-ray tube is 18 kV. The maximum mass of photon emitted by the X-ray tube will be:
Energy of photon is given by mc2 now the maximum energy of photon is equal to the maximum energy of electron = eV
hence, mc2 = eV
A current source sends a current i = i0 cos ωt). When connected across an unknown load gives a voltage output of, V = V0 sin (ωt + π/4) across that load. Then voltage across the current source may be brought in phase with the current through it by :
v = v0 sin(ωt + π/4) = v0 cos (ωt-π/4)
Since v lags current, an inductor can bring ir in phase with current
A uniform electric field exists in xy plane. The potential of points A (2,2), B(–2, 2) and C(2, 4) are 4V, 16V, 12V, respectively. The electric field is
Two identical samples (same material and same amount) P and Q of a radioactive substance having mean life T are observed to have activities AP & AQ respectively at the time of observation. If P is older than Q, then the difference in their ages is:
Half lives of two isotopes X and Y of a material are known to be 2 × 109 years and 4 × 109 years respectively. If a planet was formed with equal number of these isotopes, then the current age of planet, given that currently thematerial has 20% of X and 80% of Y by number, will be
AB and CD are uniform line charges of infinite length having charge density λ1 and λ2 and lying along the z axis and y-axis respectively. the force between them depends on the perpendicular distance between them, 'r' as then the value of n is
Consider the sown circuit. the capacitor is unchanged when the switch is closed at time t = 0. Which of the circuit given in options is equivalent to the shown circuit as t approaches infinity ?
Capacitor behaves as open circuit (when charged completely) after a long time.
In the capacitor discharge formula q = q0 e-t/τ the symbol τ represents :
τ is RC i.e time constant. After one time constant, capacitor loose 0.63 part of its initial charge.
The resultant electric field at centre of a ring due to ring is zero. Which of the following is incorrect :
Even for non uniform charge distributed field may be zero.
E.g when charges on diamerically opposite points are equal.
In a series LR circuit, the voltage drop across inductor is 8 volt and across resistor is 6 volt. Then voltage applied and power factor of circuit respectively are:
A conducting disc rotates about its axis (passing through centre and perpendicular to the plane of disc) in a uniform magnetic field B and magnetic field is perpendicular to plane of disc. There are certain points marked on a chord joining two points C and G on the periphery of the disc.Point E is the midpoint of the chord. Points D and F are the midpoints of segments CE and EG respectively. The emf induced is maximum between the points: (Do not consider the emf due to centrifugal forces)
Emf between a point and center is given by
Therefore emf between two points will be where R1 and R2 are the radial distance of the two point from the center. Since point C is farthest from the center and the point E nearest, the emf will be maximum between these points.
Binding Energy per nucleon of a fixed nucleus XA is 6 MeV. It absorbs a neutron moving with KE = 2 MeV, and converts into Y, emitting a photon of energy 1 MeV. The Binding Energy per nucleon of Y (in MeV) is
[Because absorption of energy decrease BE and release of energy increase BE]
In Y nuclues there are A+1 nucleons.
∴ BE per neuclon of Y nucleus =
In a series R — L — C circuit, the frequency of the source is half of the resonance frequency. The nature of the circuit will be:
If the readings of v1 and v3 are 100 volt each then reading of v2 is :
Resultant voltage = 200 volt
since V1 and V3 are 1800 out of phase, the resultant voltage is equal to V2
∴ V2 = 200volt
In the ideal oscillating circuit, the capacitance of the capacitor is 25 μF and has initial charge of 30 μC. The inductance of coil is 0.04 H. The maximum magnitude of current in the circuit, after closing the switch K is
A thin uniform wire AB of length 1 m, an unknown resistance X and a resistance of 12 Ω are connected by thick conducting strips, as shown in the figure. A battery and a galvanometer (with a sliding jockey connected to it) are also available. To obtain the value of X appropriate connections are made. Which one represents the correct combination if no deflection takes place in galvanometer.
An electron of mass m and charge e is accelerated from rest through a potential difference V in vaccum. Its final speed will be
The electric potential V at any point x y z (all in meters) in space is given by V = 4x2 volt. The electric field at the point (1m, 0, 2m) in volt/metre is
Four capacitors with capacitances C1 = 1 μF, C2 = 1.5 μF, C3 = 2.5 μF and C4 = 0.5 μF are connected as shown and are connected to 30 volt source. The potential difference between points a and b is
Two spherical conductors A and B of radii a and b (b>a) are placed concentrially in air. The two are connected by a copper wire as showing in figure. Then the equivalent capacitance of the system is
A wire has a non-uniform cross-sectional area as shown in figure. A steady current i flows through it. Which one of the following statement is correct ?
A mass of 0.296 gm of copper is deposited from a solution of copper sulphate by a current 0.5 amp in 30 min. The e.c.e. of copper is
A long wire is bent into the shape PQRST as shown in the adjoining figure with QRS being s semicircle with
centre O and radius r metre
A current of I ampere flows through it in the direction P → Q → R → S → T. Then the magnetic induction at the point O of the figure in vaccum is
A proton, a deutron and an α-particle having the same kinetic energy are moving in circular trajectories in a
constant magnetic field. If rp, rd and rα denote respectively the radii of the trajectories of these particles then
The coefficient of mutal inductance between two coils depends upon
A parallel plate capacitor consists of two circular plates with radius R = 10 cm separated by d = 0.5mm. The capacitor is being charged at a uniform rate by applying a changing potential difference between the two plates. Asume that the field is due to displacement current only and that the rate at which the electric field between the plates changes is 5 × 1013 (V/m-s). The displacement current in the capacitor is
The largest distance between the interatomic planes of a crystal is 10–7 cm. The upper limit for the wavelength of X-rays which can be usefully studied with this crystal is
The refractive index of a 60º prism is . Then the minimum angle of incidence of a ray of light that can be transmitted through the prism is
The face AC of a prism ABC of refracting angle 30º is silvered. A ray is incident on face AB at an angle of 45º as shown in figure. The refracted ray undergoes reflection on face AC and retraces its path. The refractive index of the prisms is
A point source is located 275 cm below the surface of a lake. The area of the surface that transmits all the light that emerges from the surface
In a movie hall if the distance between the projector and the screen is increased by 1%, illumination on the screen is
When a drop of oil is spread on a water surface, it displays beautiful colours in a day light because of
Monochromatic green light of wave length 5×10–7 m illuminates a pair of slits 1mm apart. The separation of bright lines on the interference pattern formed on a screen 2 metres away is
An alpha particle is accelerated through a potential difference of 200 volt. The increase in its kinetic energy, in electron volt is
In black and white televisions, pictures on the screen are produced to bombardment of
1 miligram radium has 2.68 × 1018 nuclei. Its half-life is 1620 years. After 3240 years, how many nuclei would have disintegrated ?
The radius R of a nuclear matter varies with A as
A semiconductor has an electron concentration of 6 × 1013/cm–3 and hole concentration of 9 × 1012/cm–3. The semiconductor is
In the circuit shown, point B is earthed. The potential at the point A is
Consider the following metallurgical processes.
(i) Heating impure metal with CO and distilling the resulting volatile carbonyl (boiling point 43ºC) and finally decomposing at 150ºC to 200ºC to get the pure metal.
(ii) Heating the sulphide ore in air until a part is converted to oxide and then further heating in the absence of air to let the oxide react with unchanged sulphide.
(iii) Electrolysing the molten electrolyte containing approximately equal amounts of the metal chloride and CaCl2 to obtain the metal.
The process used for obtaining sodium, nickel and copper are, respectively,
(C) option matches with the correct statements for Na, Ni and Cu.
Which of the following are incorrect on basis of above ellingham diagram for carbon
[Same vaolme of gas so little changes in entropy]
[volume doubles so greater entropy change]
Mole fraction of a non-electrolyte in aqueous solution is 0.07. If Kf is 1.86° mol–1 kg, depression in f.p., ΔTf, is:
Firstly we have to convert mole fraction into molality.
In the reaction N2 + 3H2 ⇌ 2NH3
and at some instant if
then at this instant value of is :
Hence the reaction will be at equilibrium at the given instant
For adsorption of a gas on a solid, the plot of log (x/m) Vs log P is linear with a slope equal to
[n being a whole number]
Observe the following reaction,
what will be the product of following given reaction ?
The volume of gases H2, CH4, CO2 & NH3 adsorbed by 1 g of activated charcoal at 298 K & 1 atm pressure are in the order.
Which of the following is not a case of colorless solutions forming a yellow precipitate on mixing ?
The compound (U) is (the major isomer is) :
A compound X on heating with cobalt nitrate gives green mass whereas on heating alone, becomes yellow but turns white on cooling. Solution of X in dilute HCl gives bluish-white/white precipitate with excess of potassium ferrocyanide is soluble in concentration aqueous NH3. So X is :
Zn2+ froms bluish-white Zn3K2[Fe(CN)6]2. Precipitate of Zn(OH)2 soluble in NH3 forming complex [Zn(NH3)4]2+
FeCl3.6H2O + C(CH3)2 (CH3O)2 → Products
Reaction products are :
Conductance measurements can be used to detect the end point of acid-base titrations. Which of the following plots correctly represent the end point of the titration of strong acid and a strong base ?
to conductane 1st decrease since no. of ions decrease after end point it increase.
What is the emf at 250 C for the cell,
the standard reduction potential for the half-reaction
are +0.0713V and +.770V respectively.
The amount of benzene that will separate out (in grams) if a solution containing 7.32 g of triphenylmethane in 1000g of benzene is cooled to a temperature which is 0.2°C below the freezing point of benzene?
(Kf = 5.12 K-Kg/mol)
The unsuitable reagent will be :
The correct statement about the following reaction is :
It is Benzil-benxilic acid rearrangement reaction.
The vapour pressure of a pure solvent is 100 mm at certain temperature when a non volatile, non electrolyte solute is added vapour pressure drops to 95 mm hence mole fraction of solute in the solution is
Match list with list II and select the correct answer using the codes given below the lists:
(X) (C6H3CIBrCOOH) are a dihalosubstituded benzoic acids. The strongest acid among all isomers is :
Which one of the following is most abundant in the earth’s crust ?
The basic character of the hydrides of Vth group elements decreases in the order
Anhydride of sulphuric acid is
Which one of the following noble gas is not found in atmosphere ?
Form the following half cells a galvanic cell is made,
E0 cell is
The molecular weight of NaCl (degree of diss. = x) determined by the osmotic pressure method, is found to be different from its actual molecular weight (M). Which of the following relationships is correct ?
The wavelength associated with a golf ball weighing 200 g and moving at a speed of 5 m/h is of the order (Planck constant, h = 6.626×10–34 J s)
In an irreversible process taking place at constant temperature and constant pressure and in which only p–V work is being done, the change in Gibbs free energy (dG) and the change in entropy (dS), satisfy the criteria
A crystal of formula AB3 has A ions at the cube corners and B ions at the edge centres. The coordination numbers of A and B are respectively
In nucleophilic substitution reaction, the reactivity of carbonyl compounds follows the order
Arrange FeO, Fe3O4 and Fe2O3 in order of decreasing basic nature
Consider the following statement –
(A) In vallisneria both male flower and pollen grain are released on surface
(B) enormous amount of pollen produce by wind pollinated plant is to increase probability of pollination
(C) post pollination event on pistil is promoted only for right type of pollen
(D) Rejection of wrong type of pollen can occur on stigma and inside style
How many correct-
Consider the following-
(a) Inside tertiary follicle of ovary meiosis 1 completed
(b) secondary oocyte have haploid content with 4c amount of DNA
how many correct-
Consider the following matched-
(1) Salmonella typhi – lips ,finger and nails turn grey
(2) Smack – diacetyl morphine
(3) Spleen – secondary lymphoid organ
(4) Physiological barrier – PMNL
How many are correctly matched
Which of the following is not improved variety against disease causing microbes-
Consider the following statement-
(1) antibiotic resistance gene can act as selectable marker
(2) Insertional inactivation may become basis for selection of transformant out of non- transformant
how many correct-
BT plants show resistace against all the given order of insect except-
Experimental removal of one species in an area sharing similar feeding habit with other species lead to
Which of the following ecosystem have highest productivity
mark the incorrect -
Conference of party on climate change in 2015 occured at-
Consider the following statement
(1) In chara upper oogonium and lower antheridium is present
(2) both marchantia and sweet potato is dioceious
how many correct-
Pollination by water is not present in -
Which is not correct –
Copper present in IUDs have role
A women suffering from mendelian genetic disorder marries to normal men have both son affected and daughter normal, if genetic disorder is autosomal than-
Mark the incorrectly matched-
In a population of 10.00 warblers 250 show small beak and rest long beak if long beak is dominant trait than frequency of heterozygous long beak individual is –
Mark the incorrect-
Which plant variety is not improved for increase content of vitamin-c
Mark the correctly matched-
Cloning site for which of the restriction enzyme absent on pBR322-
Mark the wrong statement-
Consider the following statement –
(a) One niche support one organism only
(b) One habitat have multiple niche
how many correct-
Among below Most costly ecosystem services are –
Value of Z for for most of the taxonomic group lies between-
Mark the incorrect-
Mark the plant which can undergo geitenogamy and xenogamy both-
Mark the wrongly matched ploidy or amount-
Mark the wrongly matched ratios-
RNA polymerase III code for all except-
Cranial capacity of homoerectus is –
Seed ferns are ancestor of all except-
Single cell protein is all except –
Which is not in-situ conservation-
Montreal protocol become effective in –
Coconut and mango have similarity as both have –
Which of following technique is irrelevant for human genome project and DNA fingerprinting both-
Graffian follicle turns into corpus leuteum at that time-
Which of the following is not example of alien species invasion-
Which of the following is not an example of commensalism-
During insertional inactivation following enzyme get inactivate –
Which is property of good cloning vector –
Cloning vector which is plasmid multiplying in host cell use all from host except-
If a foriegn DNA is linked to host genome DNA than which is not possible-
Histone from DNA of eukaryotes is removed during isolation of DNA by –
Ethanol precipitation without RNase treatment will-
Collection of thread of DNA after Precipitation with ethanol can be taken out by-
Transgenic cow rosie produced-
Which is common stage between monocot abd dicot embryo development-
Which of following is not role of female reproductive system -
Head of sperms are embedded in sertoli cell
New menstrual cycle marked by-
Which of the following development not occur at the end of second trimester-
Consider the event-
(a) formation of inner cell mass
(b) blastocyst become embedded
(c) uterine cells devide
(d) uterine cell cover blastocyst
(e) leads to pregnancy
Correct sequence is-
‘CDRI’ is located in –
Which is not true regarding implant
Mark the correct-
In a cross between plant ‘X’ with plant aabb genotype give AaBb and aaBb genotype than genotype of plant X is-
Mark the incorrect-
Sickle-cell anemia is caused by a point mutation in the β-globin chain of hemoglobin, causing the hydrophilic amino acid glutamic acid to be replaced with the hydrophobic amino acid valine at the sixth position.
Skin colour in mice is an example of –
Which of the following is not undergo translation-
phosphodiester linkage absent in-