The density of a material in CGS system of units is 4 g cm-3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be
- 0.04
- 0.4
- 40
- 400
118 questions with answers and solutions.
The density of a material in CGS system of units is 4 g cm-3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be
A particle covers half of its total distance with speed v1 and the rest half distance with speed v2. Its average speed during the complete journey is
A projectile is fired at an angle of 45 with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is
A conveyor belt is moving at a constant speed of 2 m s-1. A box is gently dropped on it. The coefficient of friction between them is = 0.5. The distance that the box will move relative to belt before coming to rest on it, taking g = 10 m s-2, is
A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to a mass of 3m moving vertically upwards (along the y-axis) with velocity 2v. The final velocity of the combination is
A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will [figure]
A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
A particle of mass M is situated at the centre of a spherical shell of same mass and radius a. The magnitude of the gravitational potential at a point situated at a2 distance from the centre, will be :
A mass of diatomic gas ( = 1.4) at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27 to 927 . The pressure of the gas in the final state is
Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is [figure]
The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/metre, is
In the circuit shown in the figure, if the potential at point A is taken to be zero, the potential at point B is [figure]
A galvanometer of resistance, G, is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is
Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the centre of the ring is
A square loop, carrying a steady current I, is placed in a horizontal plane near a long straight conductor carrying a steady current I1 at a distance d from the conductor as shown in figure. The loop will experience [figure]
A short bar magnet of magnetic moment 0.4 J T-1 is placed in a uniform magnetic field of 0.16 T. The magnet is in stable equilibrium when the potential energy is
The r.m.s. value of potential difference V shown in the figure is [figure]
A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be
A thin prism of angle 15 made of glass of refractive index 1 = 1.5 is combined with another prism of glass of refractive index 2 = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be
A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to the lens. The focal length of the lens is
The threshold frequency for a photosensitive metal is 3.3 1014 Hz. If light of frequency 8.2 1014 Hz is incident on this metal, the cut-off voltage for the photoelectron emission is nearly
An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, then the value of n is
Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr's atomic model?
A Zener diode, having breakdown voltage equal to 15 V, is used in a voltage regulator circuit shown in figure. The current through the diode is [figure]
In the following figure, the diodes which are forward biased, are [figure]
Pure Si at 500 K has equal number of electron (ne) and hole (nh) concentrations of 1.5 1016 m-3. Doping by indium increases nh to 4.5 1022 m-3. The doped semiconductor is of
A thermocouple of negligible resistance produces an e.m.f. of 40 / C in the linear range of temperature. A galvanometer of resistance 10 ohm whose sensitivity is 1 /division, is employed with the thermocouple. The smallest value of temperature difference that can be detected by the system will be
Two radioactive nuclei P and Q, in a given sample decay into a stable nucleus R. At time t = 0, the number of P species is 4N0 and that of Q is N0. Half-life of P (for conversion to R) is 1 minute whereas that of Q is 2 minutes. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of R present in the sample would be
Which has the maximum number of molecules among the following ?
According to the Bohr theory, which of the following transitions in the hydrogen atom will give rise to the least energetic photon ?
What is the value of electron gain enthalpy of Na+ if IE1 of Na = 5.1 eV?
Which of the following structures is the most preferred and hence of lowest energy for SO3?
Consider the following processes : array|l|c| & H (kJ/mol) \ 12A B & +150 \ 3B 2C + D & -125 \ E + A 2D & +350 \ array For B + D E + 2C, H will be
In qualitative analysis, the metals of group I can be separated from other ions by precipitating them as chloride salts. A solution initially contains Ag+ and Pb2+ at a concentration of 0.10 M. Aqueous HCl is added to this solution until the Cl- concentration is 0.10 M. What will the concentrations of Ag+ and Pb2+ be at equilibrium ? ( Ksp for AgCl = 1.8 10-10, Ksp for PbCl2 = 1.7 10-5)
Which of the following compounds undergoes nucleophilic substitution reaction most easily?
The IUPAC name of the following compound is [figure]
Consider the reactions. (i) (CH3)2CH-CH2Br C2H5OH (CH3)2CH-CH2OC2H5 + HBr (ii) (CH3)2CH-CH2Br C2H5O- (CH3)2CH-CH2OC2H5 + Br- The mechanisms of reactions (i) and (ii) are respectively
Match the compounds given in List-I with List-II and select the suitable option using the code given below.
The order of reactivity of phenyl magnesium bromide (PhMgBr) with the following compounds: [figure]
An organic compound A on treatment with NH3 gives B, which on heating gives C. C when treated with Br2 in the presence of KOH produces ethyl amine. Compound A is
Which of the following compounds is most basic?
Which of the following is not a fat soluble vitamin?
Which of the statements about "Denaturation" given below are correct?
A 0.1 molal aqueous solution of a weak acid is 30% ionized. If Kf for water is 1.86 C/m, the freezing point of the solution will be
200 mL of an aqueous solution of a protein contains its 1.26 g. The osmotic pressure of this solution at 300 K is found to be 2.57 10-3 bar. The molar mass of protein will be (R = 0.083 L bar mol-1 K-1)
A solution contains Fe2+, Fe3+ and I- ions. This solution was treated with iodine at 35 C. E for Fe3+/Fe2+ is +0.77 V and E for I2/2I- = 0.536 V. The favourable redox reaction is
The rate of the reaction: 2N2O5 4NO2 + O2 can be written in three ways. -d[N2O5]dt = k [N2O5] d[NO2]dt = k' [N2O5]; d[O2]dt = k'' [N2O5] The relationship between k and k' and between k and k'' are
The unit of rate constant for a zero order reaction is
The half-life of a substance in a certain enzyme-catalysed reaction is 138 s. The time required for the concentration of the substance to fall from 1.28 mg L-1 to 0.04 mg L-1 is
Which of the following statements is incorrect?
Which of the following oxide is amphoteric?
The pairs of species of oxygen and their magnetic behaviours are noted below. Which of the following presents the correct description?
Which of the following carbonyls will have the strongest C–O bond?
Which of the following complex compounds will exhibit highest paramagnetic behaviour? (At. No. Ti = 22, Cr = 24, Co = 27, Zn = 30)
A bubble of air is underwater at temperature 15 and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is 25 and the pressure is 1.0 bar, what will happen to the volume of the bubble?
Match List-I with List-II for the compositions of substances and select the correct answer using the codes given below.
A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion (Y-) will be
The following reactions take place in the blast furnace in the preparation of impure iron. Identify the reaction pertaining to the formation of the slag.
Which one of the following aspects is an exclusive characteristic of living things?
The pathogen Microsporum responsible for ringworm disease in humans belongs to the same kingdom of organisms as that of
Selaginella and Salvinia are considered to represent a significant step toward evolution of seed habit because
Consider the following four statements whether they are correct or wrong. The two wrong statements together are
Which one of the following pairs is wrongly matched while the remaining three are correct?
Whorled, simple leaves with reticulate venation are present in
Sweet potato is homologous to
At metaphase, chromosomes are attached to the spindle fibres by their
In Kranz anatomy, the bundle sheath cells have
In mitochondria, protons accumulate in the
In angiosperms, functional megaspore develops into
What is common between vegetative reproduction and apomixis?
Which one of the following conditions of the zygotic cell would lead to the birth of a normal human female child?
Test cross in plants or in Drosophila involves crossing:
The unequivocal proof of DNA as the genetic material came from the studies on a:
Read the following statement having two blanks (A and B): “A drug used for (A) patients is obtained from a species of the organism (B) .” The one correct option for the two blanks is:
Consider the following statements (A-D) about organic farming. Which of these statements are correct?
Which one of the following is a wrong matching of a microbe and its industrial product, while the remaining three are correct?
The logistic population growth is expressed by the equation:
Which one of the following animals may occupy more than one trophic level in the same ecosystem at the same time?
Both, hydrarch and xerarch successions lead to:
The breakdown of detritus into smaller particles by earthworm is a process called
Consider the following statements (A)-(D) each with one or two blanks : (A) Bears go into (1) during winter to (2) cold weather. (B) A conical age pyramid with a broad base represents (3) human population. (C) A wasp pollinating a fig flower is an example of (4) . (D) An area with high levels of species richness is known as (5) . Which of the following options gives the correct fill ups for the respective blank numbers from (1) to (5) in the statements ?
Biodiversity of a geographical region represents :
Some vascular bundles are described as open because these :
Function of companion cells is :
Which one of the following is not considered as a part of the endomembrane system ?
The figure below shows the structure of a mitochondrion with its four parts labelled (A), (B), (C) and (D). Select the part correctly matched with its function. [Figure]
Examine the figure given below and select the correct option giving all the four parts (A, B, C and D) rightly identified. [Figure]
Which one of the following figures represents the placentation in Dianthus?
Which one of the following is essential for photolysis of water?
Guttation is the result of
Which one of the following is not an essential mineral element for plants while the remaining three are?
"Good ozone" is found in the
Which one of the following statements is totally wrong about the occurrence of notochord, while the other three are correct?
Consider the following four statements (A–D) related to the common frog Rana tigrina, and select the correct option stating which ones are true (T) and which ones are false (F). Statements:
Ureters act as urinogenital ducts in
Which one of the following is a possibility for most of us in regard to breathing, by making a conscious effort?
Bulk of carbon dioxide (CO2) released from body tissues into the blood is present as
Given below is the ECG of a normal human. Which one of its components is correctly interpreted below? [figure]
Uricotelic mode of excreting nitrogenous wastes is found in
The type of muscles present in our
The 24 hour (diurnal) rhythm of our body such as the sleep-wake cycle is regulated by the hormone
What happens during fertilization in humans after many sperms reach close to the ovum?
About which day in a normal human menstrual cycle does rapid secretion of LH (popularly called LH-surge) normally occur?
The technique called gamete intrafallopian transfer (GIFT) is recommended for those females:
Which one of the following options gives the correct matching of a disease with its causative organism and mode of infection?
Common cold is not cured by antibiotics because it is:
Which one of the following techniques made it possible to genetically engineer living organisms?
Bacillus thuringiensis forms protein crystals which contain insecticidal protein. This protein:
Silencing of mRNA has been used in producing transgenic plants resistant to:
Read the following four statements (A-D) with certain mistakes in two of them. Which are the two statements having mistakes?
Frogs differ from humans in possessing :
The cells lining the blood vessels belong to the category of :
Which one of the following structures in Pheretima is correctly matched with its function ?
The figures (A – D) show four animals. Select the correct option with respect to a common characteristic of two of these animals. [Figure]
One of the constituents of the pancreatic juice which is poured into the duodenum in humans is
Which one of the following correctly represents the normal adult human dental formula?