The phase difference between velocity and displacement in a simple harmonic motion is:
1. \(\pi\)
2. \(\frac{\pi}{2}\)
3. \(\frac{\pi}{4}\)
4. zero
A block of mass \(10~\text{kg}\) is in contact with the inner wall of a hollow cylindrical drum of radius \(1~\text{m}.\) The coefficient of friction between the block and the inner wall of the cylinder is \(0.1.\) The minimum angular velocity needed for the cylinder, which is vertical and rotating about its axis, will be:
\(\left(g= 10~\text{m/s}^2\right )\)
1. \(10~\pi~\text{rad/s}\)
2. \(\sqrt{10}~\pi~\text{rad/s}\)
3. \(\frac{10}{2\pi}~\text{rad/s}\)
4. \(10~\text{rad/s}\)
1. | \(30\) cm | 2. | \(27\) cm |
3. | \(24\) cm | 4. | \(28\) cm |
Three masses are placed on the \(x\)-axis: \(300~\text{g}\) at origin, \(500~\text{g}\) at \(x= 40~\text{cm}\) and \(400~\text{g}\) at \(x= 70~\text{cm}.\) The distance of the centre of mass from the origin is:
1. \(45~\text{cm}\)
2. \(50~\text{cm}\)
3. \(30~\text{cm}\)
4. \(40~\text{cm}\)
1. | \(0\) unit | 2. | \(2\) unit |
3. | \(4\) unit | 4. | \(3\) unit |
1. | the same |
2. | halved |
3. | \(\Large\frac{1}{\sqrt2}\) times the present value |
4. | \({\sqrt2}\) times the present value |
1. | \(4.032~\text{kW}\) | 2. | \(28~\text{W}\) |
3. | \(67.2~\text{W}\) | 4. | \(5.6~\text{W}\) |
A particle moves from a point \(\left(\right. - 2 \hat{i} + 5 \hat{j} \left.\right)\) to \(\left(\right. 4 \hat{j} + 3 \hat{k} \left.\right)\) when a force of \(\left(\right. 4 \hat{i} + 3 \hat{j} \left.\right)\) \(\text{N}\) is applied. How much work has been done by the force?
1. | \(8\) J | 2. | \(11\) J |
3. | \(5\) J | 4. | \(2\) J |
A soap bubble, having a radius of \(1~\text{mm}\), is blown from a detergent solution having a surface tension of \(2.5\times 10^{-2}~\text{N/m}\). The pressure inside the bubble equals at a point \(Z_0\) below the free surface of the water in a container. Taking \(g = 10~\text{m/s}^{2}\), the density of water \(= 10^{3}~\text{kg/m}^3\), the value of \(Z_0\) is:
1. \(0.5~\text{cm}\)
2. \(100~\text{cm}\)
3. \(10~\text{cm}\)
4. \(1~\text{cm}\)
The efficiency of an ideal heat engine (Carnot heat engine) working between the freezing point and boiling point of water is:
1. \(26.8\%\)
2. \(20\%\)
3. \(6.25\%\)
4. \(12.5\%\)
The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?
1. | length = \(100~\text{cm},\) diameter = \(1~\text{mm}\) |
2. | length = \(200~\text{cm},\) diameter = \(2~\text{mm}\) |
3. | length = \(300~\text{cm},\) diameter = \(3~\text{mm}\) |
4. | length = \(50~\text{cm},\) diameter = \(0.5~\text{mm}\) |
Two particles \(A\) and \(B\) are moving in a uniform circular motion in concentric circles of radii \(r_A\) and \(r_B\) with speeds \(v_A\) and \(v_B\) respectively. Their time periods of rotation are the same. The ratio of the angular speed of \(A\) to that of \(B\) will be:
1. | \( 1: 1 \) | 2. | \(r_A: r_B \) |
3. | \(v_A: v_B \) | 4. | \(r_B: r_A\) |
The magnitude of the vector
\(\widehat i+\widehat i\times\widehat j+(\widehat i\times\widehat j)\times\widehat i+((\widehat i\times\widehat j)\times\widehat i)\times\widehat j\):
1. \(1\)
2. \(\sqrt2\)
3. \(\sqrt3\)
4. \(2\)
1. | \( 360000 \) | 2. | \( 72000 \) |
3. | \( 36000 \) | 4. | \( 129600\) |
A rod of mass \(M\) and length \(L\) is suspended vertically at its highest point. The rod is held so that it is horizontal and free to rotate about \({A}\) and then released. There is no friction anywhere.
The force exerted by the hinge at \({A},\) when the rod is at its lowest position is:
1. \(2~Mg\)
2. \(3~Mg\)
3. \(4~Mg\)
4. \(2.5~Mg\)
Statement I: | The total energy of a particle falling freely under gravity increases with time. |
Statement II: | The law of conservation of mechanical energy does not apply to the motion of a projectile under gravity. |
1. | Statement I is incorrect and Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct and Statement II is incorrect. |
1. | hit the monkey. |
2. | go above the monkey. |
3. | go below the monkey. |
4. | hit the monkey if the initial velocity of the bullet is more than a definite velocity. |
1. | 2. | |
|
3. | 4. |
Match the coordination number and type of hybridization with the distribution of hybrid orbitals in space based on Valence bond theory.
Coordination number and type of hybridisation | Distribution of hybrid orbitals in space | ||
(a) | 4, sp3 | (i) | Trigonal bipyramidal |
(b) | 4, dsp2 | (ii) | Octahedral |
(c) | 5, sp3d | (iii) | Tetrahedral |
(d) | 6, d2sp3 | (iv) | Square planar |
(a) | (b) | (c) | (d) | |
1. | (ii) | (iii) | (iv) | (i) |
2. | (iii) | (iv) | (i) | (ii) |
3. | (iv) | (i) | (ii) | (iii) |
4. | (iii) | (i) | (iv) | (ii) |
The first ionization energy value for
is given below but not in a correct order
The ionization energy value of H would be -
1. 1681
2. 1312
3. 520
4. 485
Which of the following statements are correct ?
(i) | Generally the radius trend and the ionization energy trend across a period are exact opposites. |
(ii) | Electron affinity values of elements may be exothermic (negative) or endothermic (positive). |
(iii) | The first ionization energy of sulphur is higher than that of phosphorus. |
(iv) | \(Te^{2-} > I^- > Cs^+ > Ba^{2+}\) represents the correct decreasing order of ionic radii. |
1. (i), (iii) and (iv)
2. (ii), (iii) and (iv)
3. (i), (ii) and (iv)
4. (i), (ii) and (iii)
When 0.50 moles of BaCl2 are mixed with 0.20 moles of Na3PO4, what is the maximum number of moles of Ba3(PO4)2 that can be formed?
1. | 0.10 | 2. | 0.20 |
3. | 0.30 | 4. | 0.40 |
A bottle of dry ammonia and a bottle of dry hydrogen chloride connected through a long tube are opened simultaneously at both ends, the white ammonium chloride ring first formed will be
1. at the centre of the tube
2. near the hydrogen chloride bottle
3. near the ammonia bottle
4. throughout the length of the tube
P, Q and R in the above-mentioned sequence of reactions are respectively:
1. | |
2. | |
3. | |
4. |
A farmer was told that fishes were not fit for human consumption because a large amount of pesticides had accumulated in the tissues of fishes. This happens:
1. By the transfer of pesticides in the food chain.
2. By the degradation of pesticides.
3. By the reaction of pesticides with atmospheric oxygen.
4. By the reaction of pesticides with atmospheric carbon dioxide.
1. | 540 | 2. | 620 |
3. | 450 | 4. | 470 |
Which of the following cases leads to the reaction remaining fastest to completion?
1.
2.
3.
4.
Alkyl cyanide \(R-C \equiv N\) and alkyl isocyanides \(R- \overset{+}{N} \equiv C^-\) are:
1. | Tautomers | 2. | Metamers |
3. | Functional isomers | 4. | Geometrical isomers |
The correct statement among the following is :
1. | Sn2+ is an oxidizing agent while Pb4+ is a reducing agent. |
2. | Sn2+ and Pb2+ both are oxidizing agents. |
3. | Sn4+ is a reducing agent while Pb4+ is an oxidizing agent. |
4. | Sn2+ is a reducing agent while Pb4+ is an oxidizing agent. |
Which compound among the following has the highest lattice energy?
1. LiF
2. MgO
3. NaF
4. CaO
For which of the following processes will the entropy increase?
1. Reaction of magnesium with oxygen to form magnesium oxide
2. Reaction of nitrogen and hydrogen to form ammonia
3. Sublimation of dry ice
4. Condensation of steam
The rate of diffusion of two gases A and B is in the ratio of 1:4 and the B and C in the ratio 1:3 the rate of diffusion of C with respect to A is
1. 1/12
2. 12
3. 3
4. 4
Given are the following sets of species:
(a)
(b)
(c)
(d)
The sets containing only isoelectronic ions among the above are:
1. (a), (d)
2. (b), (c)
3. (c), (d)
4. (b), (d)
1. | Rotation of the electron in clockwise and anticlockwise directions, respectively. |
2. | Rotation of the electron in anticlockwise and clockwise directions, respectively. |
3. | The magnetic moment of the electrons pointing up and down, respectively. |
4. | Two quantum mechanical spin states that have no classical analogues. |
1. | the Law of Independent Assortment. |
2. | the concept of Linkage |
3. | the chromosomal theory of inheritance. |
4. | the One Gene One Enzyme hypothesis. |
1. | Coconut | 2. | Pea |
3. | Gram | 4. | Bean |
I: | Among invertebrates, maximum species richness is seen in insects |
II: | Among vertebrates, maximum species richness is seen in mammals |
III: | Among plants, algae have a greater diversity than angiosperms. |
Assertion (A): | The pyramid of biomass may be "inverted" in a pond ecosystem |
Reason (R): | In a pond ecosystem, the standing crop of phytoplankton, the major producers, at any given point will be lower than the mass of the heterotrophs, such as fish and insects. |
1. | Both (A) and (R) are True and the (R) correctly explains (A). |
2. | Both (A) and (R) are True but the (R) does not correctly explain (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
The deficiency symptoms of S and Ca will appear first in
(1) Both in young and old parts
(2) Only in young parts
(3) First in old parts
(4) First in young parts
Assertion (A): | Inbreeding increases the chances of offspring being affected by recessive traits. |
Reason (R): | Inbreeding increases the proportion of homozygous individuals in a population. |
1. | Both (A) and (R) are True and (R) correctly explains the (A). |
2. | Both (A) and (R) are True but (R) does not correctly explain the (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
What initiation and termination factors are involved in transcription in prokaryotes?
1. , respectively
2. , respectively
3. , respectively
4. , respectively
Callus from internodal segments of tobacco stem gets proliferated only if in addition to one of the following – extracts of vascular tissues, yeast extract, coconut milk or DNA, the nutrient medium also contains:
1. | Auxins | 2. | Gibberellins |
3. | ABA | 4. | Ethylene |
Assertion (A): | Of the 46 chromosomes in a normal diploid human cell, half are maternally derived and half are paternally derived. |
Reason (R): | Sexual reproduction involves the fusion of two haploid gametes to produce a zygote and a new organism, in which every cell has two sets of chromosomes. |
1. | Both (A) and (R) are True and (R) correctly explains the (A). |
2. | Both (A) and (R) are True but (R) does not correctly explain the (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | Algae | 2. | Fungi |
3. | Bacteria | 4. | Protists |
Identify the incorrectly matched pair:
Population interaction |
Species A |
Species B |
|
1. |
Mutualism |
+ |
+ |
2. |
Predation |
+ |
- |
3. |
Parasitism |
- |
- |
4. |
Commensalism |
+ |
0 |
I: | The cyanobacteria that are also referred to as blue green algae are not ‘algae’. |
II: | Yeast, although unicellular, are fungi. |
III: | Mycoplasma lack a cell wall but are bacteria. |
1. | Mustard | 2. | China rose |
3. | Alstonia | 4. | Calotropis |
1. | plants with haplontic life cycle |
2. | terrestrial plants with dominant gametophytic generation |
3. | plants to produce flowers pollinated by insects |
4. | terrestrial plants to possess vascular tissues |
Which one of the following is not considered as a part of the endomembrane system?
1. | Lysosome | 2. | Golgi complex |
3. | Peroxisome | 4. | Vacuole |
1. | near similar sizes of vascular bundles, including main veins, as seen in vertical sections of the leaves. |
2. | near similar sizes of vascular bundles, except in main veins, as seen in vertical sections of the leaves. |
3. | large sizes of vascular bundles in mid rib and smaller in veins, as seen in vertical sections of the leaves. |
4. | smaller sizes of vascular bundles in mid rib and larger in veins, as seen in vertical sections of the leaves. |
1. | Myasthenia gravis | An auto-immune disorder affecting neuromuscular junction leading to fatigue, weakening and paralysis of skeletal muscle. |
2. | Muscular dystrophy | Progressive degeneration of skeletal muscle mostly due to a genetic disorder. |
3. | Tetany | Rapid spasms (wild contractions) in muscle due to high Ca2+ in body fluid. |
4. | Gout | Inflammation of joints due to accumulation of uric acid crystals. |
1. | 1951 | 2. | 1971 |
3. | 2017 | 4. | 2023 |
Assertion (A): | When we look at stars on a clear night sky we are, in a way, looking back in time. |
Reason (R): | When we see objects in our immediate surroundings, we see them instantly and hence in the present time. |
1. | (A) is False but (R) is True |
2. | (A) is True but (R) is False |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A) |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A) |
1. | neutrophils | 2. | eosinophils |
3. | basophils | 4. | lymphocytes |
ELISA is based on the principle of:
1. | Complementary hybridization of nucleic acids |
2. | Antigen-antibody interaction |
3. | Clonal selection |
4. | Southern blot |
While isolating DNA from bacteria, which of the following enzymes is not required?
1. Lysozyme
2. Ribonuclease
3. Deoxyribonuclease
4. Protease
1. | graft rejection | 2. | auto-immune disease |
3. | active immunity | 4. | allergic response |
Statement I: | When swallowing, the soft palate would have to move downward in order to prevent food from entering the lungs. |
Statement II: | When swallowing the epiglottis allows the food to enter the larynx. |
Statement I: | The part of the oviducts (fallopian tubes) closer to the ovary is the funnel-shaped infundibulum. |
Statement II: | The last part of the oviduct, isthmus, has a narrow lumen and it joins the uterus. |
1. | Statement I is correct; Statement II is incorrect |
2. | Statement I is correct; Statement II is correct |
3. | Statement I is incorrect; Statement II is incorrect |
4. | Statement I is incorrect; Statement II is correct |
1. | is a lipid |
2. | constitutes majority of a cell membrane in animal cells |
3. | is a macromolecule |
4. | is hydrophilic |
Column I [Blood type] |
Column II [Can receive blood from] |
||
A | A | P | A and O |
B | B | Q | Only O |
C | AB | R | A, B, AB and O |
D | O | S | B and O |
A | B | C | D | |
1. | S | P | Q | R |
2. | P | S | R | Q |
3. | P | Q | S | R |
4. | S | P | R | Q |
Consider the given statements:
I: | The crop in the alimentary canal of cockroach is also known as proventriculus, has six highly chitinous plates called teeth and helps in grinding food particles. |
II: | The gizzard is sac-like structure used for storing food in cockroach. |
Consider the following two statements:
I: | The lungs are situated in the thoracic chamber which is anatomically an air-tight chamber. |
II: | This arrangement is essential as we cannot directly alter the thoracic volume. |
1. | Both I and II are correct and II correctly explains I |
2. | Both I and II are correct but II does not explain I |
3. | I is correct and II is incorrect |
4. | Both I and II are incorrect |