Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?
- hGc3/2
- hGc5/2
- hcG
- Gch3/2
180 questions with answers and solutions.
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?
Two cars P and Q start from a point at the same time in a straight line and their positions are represented by xP(t) = (at + bt2) and xQ(t) = (ft - t2). At what time do the cars have the same velocity ?
In the given figure, a = 15 m s-2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is [figure]
A rigid ball of mass m strikes a rigid wall at 60 and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be : [figure]
A bullet of mass 10 g moving horizontally with a velocity of 400 m s-1 strikes a wood block of mass 2 kg which is suspended by light inextensible string of length 5 m. As a result, the centre of gravity of the block is found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges out horizontally from the block will be
Two identical balls A and B having velocities of 0.5 m s-1 and -0.3 m s-1 respectively collide elastically in one dimension. The velocities of B and A after the collision respectively will be :
A particle moves from a point (-2 i+5 j ) to (4 j+3 k ) when a force of (4 i+3 j ) N is applied. How much work has been done by the force ?
Two rotating bodies A and B of masses m and 2m with moments of inertia IA and IB (IB > IA) have equal kinetic energy of rotation. If LA and LB be their angular momenta respectively, then
A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (Esphere/Ecylinder) will be
A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is
Starting from the centre of the earth having radius R, the variation of g (acceleration due to gravity) is shown by
A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0, the value of acceleration due to gravity at the earth's surface, is
A rectangular film of liquid is extended from (4 cm 2 cm) to (5 cm 4 cm). If the work done is 3 10-4 J, the value of the surface tension of the liquid is
Three liquids of densities 1, 2 and 3 (with 1 > 2 > 3), having the same value of surface tension T, rise to the same height in three identical capillaries. The angles of contact 1, 2 and 3 obey
Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100 , while the other one is at 0 . If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is
A body cools from a temperature 3T to 2T in 10 minutes. The room temperature is T. Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next 10 minutes will be
One mole of an ideal monatomic gas undergoes a process described by the equation PV3 = constant. The heat capacity of the gas during this process is
The temperature inside a refrigerator is t2 C and the room temperature is t1 C. The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be
A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas ?
A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L metre long. The length of the open pipe will be
Three sound waves of equal amplitudes have frequencies (n - 1), n, (n + 1). They superimpose to give beats. The number of beats produced per second will be
An electric dipole is placed at an angle of 30 with an electric field intensity 2 105 N C-1. It experiences a torque equal to 4 N m. The charge on the dipole, if the dipole length is 2 cm, is
A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants k1, k2, k3 and k4 as shown in the figure. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by [figure]
The potential difference (VA - VB) between the points A and B in the given figure is [figure]
A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly and the bulb consumes 500 W. The value of R is
A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B. It is then bent into a circular coil of n turns. The magnetic field at the centre of this coil of n turns will be
An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 10-2 T. If the value of e/m is 1.76 1011 C kg-1, the frequency of revolution of the electron is
A bar magnet is hung by a thin cotton thread in a uniform horizontal magnetic field and is in equilibrium state. The energy required to rotate it by 60 is W. Now the torque required to keep the magnet in this new position is
Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication?
A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate d Bdt. Loop 1 of radius R > r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in the figure. Then the e.m.f. generated is [figure]
The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. The power factor of this circuit is
A 100 resistance and a capacitor of 100 reactance are connected in series across a 220 V source. When the capacitor is 50\% charged, the peak value of the displacement current is
Two identical glass ( g = 3/2) equiconvex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water ( w = 4/3). The focal length of the combination is
An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is
The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio Imax - Imin Imax + Imin will be
A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes. In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use, will be
A linear aperture whose width is 0.02 cm is placed immediately in front of a lens of focal length 60 cm. The aperture is illuminated normally by a parallel beam of wavelength 5 10-5 cm. The distance of the first dark band of the diffraction pattern from the centre of the screen is
Electrons of mass m with de-Broglie wavelength fall on the target in an X-ray tube. The cutoff wavelength ( 0) of the emitted X-ray is
Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectrons will reach the anode A, if the stopping potential of A relative to C is
If an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength . When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be
The given circuit has two ideal diodes connected as shown in the figure. The current flowing through the resistance R1 will be [figure]
What is the output Y in the following circuit, when all the three inputs A, B, C are first 0 and then 1? [figure]
The half-life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay and 85% decay of the same radioactive substance is
For CE transistor amplifier, the audio signal voltage across the collector resistance of 2 k is 4 V. If the current amplification factor of the transistor is 100 and the base resistance is 1 k , then the input signal voltage is
Suppose the elements X and Y combine to form two compounds XY2 and X3Y2. When 0.1 mole of XY2 weighs 10 g and 0.05 mole of X3Y2 weighs 9 g, the atomic weights of X and Y are
How many electrons can fit in the orbital for which n = 3 and l = 1?
Which of the following pairs of d-orbitals will have electron density along the axes ?
Which one of the following compounds shows the presence of intramolecular hydrogen bond?
The hybridizations of atomic orbitals of nitrogen in NO2+, NO3- and NH4+ respectively are
Which of the following pairs of ions is isoelectronic and isostructural?
The correct geometry and hybridization for XeF4 are
Among the following, which one is a wrong statement ?
For a sample of perfect gas when its pressure is changed isothermally from pi to pf, the entropy change is given by
The percentage of pyridine (C5H5N) that forms pyridinium ion (C5H5N+H) in a 0.10 M aqueous pyridine solution (Kb for C5H5N = 1.7 10-9) is
The solubility of AgCl(s) with solubility product 1.6 10-10 in 0.1 M NaCl solution would be
Which of the following fluoro-compounds is most likely to behave as a Lewis base ?
Which among the given molecules can exhibit tautomerism? [figure]
Which of the following can be used as halide component for Friedel-Crafts reaction?
In which of the following molecules, atoms are coplanar?
In pyrrole the electron density is maximum on [figure]
Which of the following compounds shall not produce propene by reaction with HBr followed by elimination or direct only elimination reaction ?
In the given reaction, [figure] the product P is
The compound that will react most readily with gaseous bromine has the formula
Consider the reaction, CH3CH2CH2Br + NaCN CH3CH2CH2CN + NaBr The reaction will be the fastest in
Hot concentrated sulphuric acid is a moderately strong oxidizing agent. Which of the following reactions does not show oxidizing behaviour?
The correct order of the strengths of the carboxylic acids [figure] is
The correct structure of the product 'A' formed in the reaction [figure]
Which one of the following nitro-compounds does not react with nitrous acid?
A given nitrogen-containing aromatic compound 'A' reacts with Sn/HCl, followed by HNO2 to give an unstable compound 'B'. 'B', on treatment with phenol, forms a beautiful coloured compound 'C' with the molecular formula C12H10N2O. The structure of compound 'A' is
The central dogma of molecular genetics states that the genetic information flows from
The correct corresponding order of names of four aldoses with configuration given below [figure] respectively, is
The van't Hoff factor (i) for a dilute aqueous solution of the strong electrolyte barium hydroxide is
Which one of the following is incorrect for ideal solution?
The molar conductivity of a 0.5 mol/dm3 solution of AgNO3 with electrolytic conductivity of 5.76 10-3 S cm-1 at 298 K is
During the electrolysis of molten sodium chloride, the time required to produce 0.10 mol of chlorine gas using a current of 3 amperes is
If the E cell for a given reaction has a negative value, which of the following gives the correct relationships for the values of G and Keq ?
The number of electrons delivered at the cathode during electrolysis by a current of 1 ampere in 60 seconds is (charge on electron = 1.60 10-19 C)
Zinc can be coated on iron to produce galvanized iron but the reverse is not possible. It is because
The decomposition of phosphine (PH3) on tungsten at low pressure is a first-order reaction. It is because the
Boric acid is an acid because its molecule
AlF3 is soluble in HF only in presence of KF. It is due to the formation of
Which one of the following statements related to lanthanoids is incorrect?
The correct increasing order of trans-effect of the following species is
Jahn-Teller effect is not observed in high spin complexes of
The suspension of slaked lime in water is known as
In context with beryllium, which one of the following statements is incorrect?
Which one of the following structures represents nylon 6, 6 polymer?
In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion ( Ca2+) and fluoride ion (F-) are
The coagulation values in millimoles per litre of the electrolytes used for the coagulation of As2S3 are given below : I. (NaCl) = 52, II. (BaCl2) = 0.69, III. (MgSO4) = 0.22 The correct order of their coagulating power is
The label of a herbarium sheet does not carry information on
Match column I with column II for housefly classification and select the correct option using the codes given below.
Study the four statements (A-D) given below and select the two correct ones out of them. The two correct statements are
Which one of the following is wrong for fungi?
Methanogens belong to
Select the wrong statement.
Conifers are adapted to tolerate extreme environmental conditions because of
Which one of the following statements is wrong?
The term 'polyadelphous' is related to
How many plants among Indigofera, Sesbania, Salvia, Allium, Aloe, mustard, groundnut, radish, gram and turnip have stamens with different lengths in their flowers?
Radial symmetry is found in the flowers of
Free-central placentation is found in
A non-proteinaceous enzyme is
Which of the following is the least likely to be involved in establishing the three-dimensional folding of most proteins?
Which of the following describes the given graph correctly? [figure]
During cell growth, DNA synthesis takes place on
When cell has stalled DNA replication fork, which checkpoint should be predominantly activated?
Match the stages of meiosis in column I to their characteristic features in column II and select the correct option using the codes given below.
The process which makes major difference between C3 and C4 plants is
Which of the following biomolecules is common to respiration-mediated breakdown of fats, carbohydrates and proteins?
Oxidative phosphorylation is
You are given a tissue with its potential for differentiation in an artificial culture. Which of the following pairs of hormones would you add to the medium to secure shoots as well as roots?
Phytochrome is a
In majority of angiosperms
Pollination in water hyacinth and water lily is brought about by the agency of
The ovule of an angiosperm is technically equivalent to
The mechanism that causes a gene to move from one linkage group to another is called
If a colour-blind man marries a woman who is homozygous for normal colour vision, the probability of their son being colour-blind is
Taylor conducted the experiments to prove semiconservative mode of chromosome replication on
The equivalent of a structural gene is -
Which of the following rRNAs acts as structural RNA as well as ribozyme in bacteria ?
A molecule that can act as a genetic material must fulfill the traits given below, except
DNA-dependent RNA polymerase catalyzes transcription on one strand of the DNA which is called the
Match Column-I with Column-II and select the correct option using the codes given below –
Which of the following is correct for r-selected species ?
If '+' sign is assigned to beneficial interaction, '–' sign to detrimental and '0' sign to neutral interaction, then the population interaction represented by '+' '–' refers to
The principle of competitive exclusion was stated by
The primary producers of the deep-sea hydrothermal vent ecosystem are
How many hot spots of biodiversity in the world have been identified till date by Norman Myers ?
Which of the following is correctly matched ?
Red List contains data or information on
Which of the following National Parks is home to the famous musk deer or hangul ?
Cortex is the region found between -
The balloon-shaped structures called tyloses
Select the mismatch.
Select the wrong statement-
A cell organelle containing hydrolytic enzymes is
A few drops of sap were collected by cutting across a plant stem by a suitable method. The sap was tested chemically. Which one of the following test results indicates that it is phloem sap?
Which is essential for the growth of root tip?
Which one of the following statements is not correct?
Which one of the following generates new genetic combinations leading to variation?
Match column I with column II and select the correct option using the codes given below.
A true breeding plant is -
Interspecific hybridisation is the mating of
Among the following edible fishes, which one is a marine fish having rich source of omega-3 fatty acids ?
Biochemical Oxygen Demand (BOD) may not be a good index for pollution for water bodies receiving effluents from
A lake which is rich in organic waste may result in
The highest DDT concentration in aquatic food chain shall occur in
Choose the correct statement
The partial pressure of oxygen in the alveoli of the lungs is
Lungs do not collapse between breaths and some air always remains in the lungs which can never be expelled because
Name the blood cells, whose reduction in number can cause clotting disorder, leading to excessive loss of blood from the body.
Serum differs from blood in
The part of nephron involved in active reabsorption of sodium is
Name the ion responsible for unmasking of active sites for myosin for cross-bridge activity during muscle contraction.
Osteoporosis, an age-related disease of skeletal system, may occur due to
Graves' disease is caused due to
Name a peptide hormone which acts mainly on hepatocytes, adipocytes and enhances cellular glucose uptake and utilisation.
The posterior pituitary gland is not a 'true' endocrine gland because
Which of the following depicts the correct pathway of transport of sperms?
Match column I with column II and select the correct option using the codes given below.
Several hormones like hCG, hPL, estrogen, progesterone are produced by
Which of the following is hormone releasing IUD ?
Which of the following is incorrect regarding vasectomy ?
Embryo with more than 16 blastomeres formed due to in vitro fertilization is transferred into
Genetic drift operates in
In Hardy-Weinberg equation, the frequency of heterozygous individual is represented by
The chronological order of human evolution from early to the recent is
Which of the following is the correct sequence of events in the origin of life ? I. Formation of protobionts II. Synthesis of organic monomers III. Synthesis of organic polymers IV. Formation of DNA-based genetic systems
Which of the following sets of diseases is caused by bacteria ?
Which of the following is correct regarding AIDS causative agent HIV ?
Stirred-tank bioreactors have been designed for -
A foreign DNA and plasmid cut by the same restriction endonuclease can be joined to form a recombinant plasmid using
Which of the following is not a component of downstream processing ?
Which of the following restriction enzymes produces blunt ends ?
Which kind of therapy was given in 1990 to a four-year-old girl with adenosine deaminase [ADA] deficiency ?
In male cockroaches, sperms are stored in which part of the reproductive system ?
Smooth muscles are
Which hormones do stimulate the production of pancreatic juice and bicarbonate?
Choose the correct statement.