The dimensions of ( 0 0)-1/2 are
- [ L1/2T-1/2]
- [ L-1T]
- [ LT-1]
- [ L1/2T1/2]
120 questions with answers and solutions.
The dimensions of ( 0 0)-1/2 are
A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than the previous height, the momentum when it hits the ground will change by
A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to
A car of mass m is moving on a level circular track of radius R. If s represents the coefficient of static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 m s-1 relative to the ground. Time taken by the man to complete one revolution is
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through [figure]
Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is :
If ve is escape velocity and vo is orbital velocity of a satellite for orbit close to the earth's surface, then these are related by
Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)
A slab of stone of area 0.36 m2 and thickness 0.1 m is exposed on the lower surface to steam at 100 . A block of ice at 0 rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. The thermal conductivity of slab is (Given latent heat of fusion of ice = 3.36 105 J kg-1)
An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram. [figure] If Q1, Q2, Q3 indicate the heat absorbed by the gas along the three processes and U1, U2, U3 indicate the change in internal energy along the three processes respectively, then
The equation of a simple harmonic wave is given by y = 3 2(50t - x), where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is
Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 10-2 C and 5 10-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is
A cell having an emf and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by
The power dissipated in the circuit shown in the figure is 30 watts. The value of R is [figure]
A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an -particle to describe a circle of same radius in the same field?
A magnetic needle suspended parallel to a magnetic field requires 3 J of work to turn it through 60 . The torque needed to maintain the needle in this position will be
The instantaneous values of alternating current and voltage in a circuit are given as i = 1 2 (100 t) ampere e = 1 2 (100 t + 3 ) Volt The average power in watts consumed in the circuit is
In a coil of resistance 10 , the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is [figure]
The ratio of amplitude of magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to
For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index
A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is
If the momentum of an electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5\%. The initial momentum of electron will be
Two radiations of photons energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is
The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from
To get an output Y = 1 in given circuit which of the following input will be correct ? [figure]
A train moving at a speed of 220 m s-1 towards a stationary object, emits a sound of frequency 1000 Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is (Speed of sound in air is 330 m s-1)
The half life of a radioactive nucleus is 50 days. The time interval (t2 - t1) between the time t2 when 23 of it has decayed and the time t1 when 13 of it had decayed is
The input resistance of a silicon transistor is 100 . Base current is changed by 40 which results in a change in collector current by 2 mA. This transistor is used as a common emitter amplifier with a load resistance of 4 k . The voltage gain of the amplifier is
The orbital angular momentum of a p-electron is given as
During change of O2 to O2- ion, the electron adds on which one of the following orbitals ?
Four diatomic species are listed below. Identify the correct order in which the bond order is increasing in them
Given that the equilibrium constant for the reaction, 2SO2(g) + O2(g) 2SO3(g) has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature ? SO3(g) SO2(g) + 12O2(g)
Given the reaction between 2 gases represented by A2 and B2 to give the compound AB(g), A2(g) + B2(g) 2AB(g) At equilibrium, the concentration of A2 = 3.0 10-3 M, of B2 = 4.2 10-3 M, of AB = 2.8 10-3 M If the reaction takes place in a sealed vessel at 527 , then the value of Kc will be
Which of the following reagents will be able to distinguish between 1-butyne and 2-butyne?
In the replacement reaction [figure] The reaction will be most favourable if M happens to be
Which of the following compounds can be used as antifreeze in automobile radiators?
Consider the reaction : RCHO + NH2NH2 RCH = N - NH2 What sort of reaction is it?
Which of the following compounds will give a yellow precipitate with iodine and alkali?
Consider the following reaction [figure] The product A is
An organic compound (C3H9N) (A), when treated with nitrous acid, gave an alcohol and N2 gas was evolved. (A) on warming with CHCl3 and caustic potash gave (C) which on reduction gave isopropylmethylamine. Predict the structure of (A)
Vapour pressure of chloroform (CHCl3) and dichloromethane (CH2Cl2) at 25 are 200 mm Hg and 41.5 mm Hg respectively. Vapour pressure of the solution obtained by mixing 25.5 g of CHCl3 and 40 g of CH2Cl2 at the same temperature will be (Molecular mass of CHCl3 = 119.5 u and molecular mass of CH2Cl2 = 85 u)
Standard reduction potentials of the half reactions are given below : F2(g) + 2e- 2F-(aq); E = +2.85 V Cl2(g) + 2e- 2Cl-(aq); E = +1.36 V Br2(l) + 2e- 2Br-(aq); E = +1.06 V I2(s) + 2e- 2I-(aq); E = +0.53 V The strongest oxidising and reducing agents respectively are
Molar conductivities ( m) at infinite dilution of NaCl, HCl and CH3COONa are 126.4, 425.9 and 91.0 S cm2 mol-1 respectively. ( m) for CH3COOH will be
The Gibbs energy for the decomposition of Al2O3 at 500 is as follows 23Al2O3 43Al + O2 rG = +960 kJ mol-1 The potential difference needed for the electrolytic reduction of aluminium oxide (Al2O3) at 500 is at least
Activation energy (Ea) and rate constants (k1 and k2) of a chemical reaction at two different temperatures (T1 and T2) are related by
In which of the following arrangements the given sequence is not strictly according to the property indicated against it?
The catalytic activity of transition metals and their compounds is ascribed mainly to
Which of the following exhibits only + 3 oxidation state?
Which one of the following does not correctly represent the correct order of the property indicated against it?
Four successive members of the first series of the transition metals are listed below. For which one of them the standard potential ( E M2+/M ) value has a positive sign?
Low spin complex of d6-cation in an octahedral field will have the following energy
Red precipitate is obtained when ethanol solution of dimethylglyoxime is added to ammoniacal Ni(II). Which of the following statements is not true? [figure]
A certain gas takes three times as long to effuse out as helium. Its molecular mass will be
For real gases van der Waals equation is written as (p + an2V2 )(V - nb) = nRT where a and b are van der Waals constants. Two sets of gases are (I) O2, CO2, H2 and He (II) CH4, O2 and H2 The gases given in set-I in increasing order of b and gases given in set-II in decreasing order of a, are arranged below. Select the correct order from the following
Equal volumes of two monoatomic gases, A and B at same temperature and pressure are mixed. The ratio of specific heats (Cp/Cv) of the mixture will be
Which one of the following sets forms the biodegradable polymer?
Structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovalent metal B. The formula of the oxide is
Chloramphenicol is an
Which one of the following organisms is scientifically correctly named, correctly printed according to the international Rules of Nomenclature and correctly described?
In the five kingdom classification, Chlamydomonas and Chlorella have been included in
Which one of the following pairs is wrongly matched?
Read the following five statements (A – E) and answer as asked next to them. How many of the above statements are correct?
How many organisms in the list given below are autotrophs? Lactobacillus, Nostoc, Chara, Nitrosomonas, Nitrobacter, Streptomyces, Saccharomyces, Trypanosoma, Porphyra, Wolffia
Which one of the following organisms is correctly matched with its three characteristics?
How many plants in the list given below have marginal placentation? Mustard, Gram, Tulip, Asparagus, Arhar, Sun hemp, Chilli, Colchicum, Onion, Moong, Pea, Tobacco, Lupin
Which one of the following biomolecules is correctly characterized?
Identify the meiotic stage in which the homologous chromosomes separate while the sister chromatids remain associated at their centromeres.
Read the following four statements (A – D). How many of the above statements are right?
Through their effects on plant growth regulators, what do the temperature and light control in the plants?
Which one of the following generally acts as an antagonist to gibberellins?
Vernalization stimulates flowering in
What is the function of germ pore?
Which one of the following statements is wrong?
Plants with ovaries having only one or a few ovules, are generally pollinated by
Represented below is the inheritance pattern of a certain type of traits in humans. Which one of the following conditions could be an example of this pattern ? [figure]
A test cross is carried out to :
In gobar gas, the maximum amount is that of :
Read the following four statements (A-D) : How many of the above statements are right ?
The domestic sewage in large cities :
Consider the following four statements (a-d) and select the option which includes all the correct ones only :
What is it that forms the basis of DNA Fingerprinting ?
Cuscuta is an example of :
The rate of formation of new organic matter by rabbit in a grassland, is called :
The second stage of hydrosere is occupied by plants like
Identify the likely organisms (a), (b), (c) and (d) in the food web shown below : [figure]
Select the correct statement about biodiversity :
Sacred groves are specially useful in
As compared to a dicot root, a monocot root has
Which one of the following cellular parts is correctly described ?
Which one of the following structures is an organelle within an organelle ?
Which one of the following sets of items in the option A – D are correctly categorized with one exception in it ?
Read the following four statements (A-D) : How many of the above statements are wrong ?
Which one of the following is a wrong statement regarding mutations ?
For its action, nitrogenase requires
For its activity, carboxypeptidase requires
Green revolution in India occurred during -
Which one of the following pairs of animals are similar to each other pertaining to the feature stated against them?
Which one of the following categories of animals, is correctly described with no single exception in it?
Which one of the following human organs is often called the "graveyard" of RBCs?
Which one of the following options gives the correct categorization of six animals according to the type of nitrogenous waste they give out?
A fall in glomerular filtration rate (GFR) activates
Which one of the following characteristics is common both in humans and adult frogs?
The secretory phase in the human menstrual cycle is also called :
The idea of mutations was brought forth by :
Identify the molecules (a) and (b) shown below and select the right option giving their source and use. [figure]
Biolistics (gene-gun) is suitable for
In genetic engineering, the antibiotics are used
Which one of the following represents a palindromic sequence in DNA ?
The figure below shows three steps (A, B, C) of Polymerase Chain Reaction (PCR). Select the option giving correct identification together with what it represents ? [figure]
Tobacco plants resistant to a nematode have been developed by the introduction of DNA that produced (in the host cells) :
The first clinical gene therapy was given for treating
Given below is the diagrammatic sketch of a certain type of connective tissue. Identify the parts labeled A, B, C and D and select the right option about them [Figure]
The supportive skeletal structures in the human external ears and in the nose tip are examples of
The four sketches (A, B, C and D) given below, represent four different types of animal tissues. Which one of these is correctly identified in the options given, along with its correct location and function ? [Figure]
Identify the human developmental stage shown below as well as the related right place of its occurrence in a normal pregnant woman, and select the right option for the two, together. [Figure]
Which one of the following pairs of chemical substances, is correctly categorised ?
Which one of the following statements is correct with respect to immunity?
Where do certain symbiotic microorganisms normally occur in human body?