Choose the correct statement among the following

${{\rm{\Psi }}^2}$ is a probability factor. For hydrogen wave function, number of nodes (the space where probability of finding electron is zero) can be calculated as Radial nodes $ = \left( {n - l - 1} \right)$ , Angular nodes $ = l$ , Total number of nodes $ = \left( {n - 1} \right)$

${{\rm{\Psi }}^2}$ represents the atomic orbital

The number of peaks in radial distribution is $n - l$

A node is a point in space around nucleus where the wave function Ψ has zero value

The correct Option is "All of the above"

Choose the correct statement about liverworts I. In liverworts sexual reproduction occurs by the fusion of antherozoids and egg, which are produced in anthridium and archegonium, respectively II. Both male and female sex organs may be present on same thalli or different thalli III. Zygote give rise to sporophyte, which is differentiated into food, seta and capsule IV. Some cells of capsule undergoes meiosis and give rise to haploid spores

All the statements are correct. Sexual reproduction occurs by the formation of sex organs born on special branches. The male antheridia are produced on antheridiophore and the female reproductive organs are ‘archegonia’. They are borne on special stalked structures called archegoniophore. Both male and female sex organ may be present on same thalli or different thalli. After fertilisation, the egg becomes zygote, which grow to form sporophyte. It is differentiated into foot, seta and capsule. Inside the capsule, the diploid spore mother cells divide by meiosis and produce haploid spores. These spores germinate to form free-living gametophytes

The correct Option is "I, II, III and IV"

Choose the correct statement associated with ovoviviparous condition

Ovoviviparous are heavily yolked eggs that develop in the reproductive tract of the mother, without deriving nourishment from her producing egg that are hatched within the body

When the embryo directly derives nourishment from the mother

The animals lay egg in a nest especially made for this purpose

The correct Option is "The eggs are heavily yolked eggs"

Choose the correct statement.

The ascending limb of Henle’s loop (the next part of renal tubule) continue as another highly coiled tubular region called Distal Convoluted Tubule (DCT). The juxta medullarly nephrons have long Henle’s loop.Vasa recta is absent or highly reduced in cortical nephrons. Bowman’s capsule encloses the glomerulus. The Malpighian corpuscles, proximal convoluted tubule (PCT) and distal convoluted tubule (DCT) are situated in the cortical region of the kidney, whereas the Henel’s loop in the medulla.

The juxta medullarly nephrons have reduced Henle’s loop

Vasa recta is well developed in cortical nephrons

The PCT and DCT are situated in the medulla of the kidney

The correct Option is "The ascending limb of the Henle’s loop extends as the DCT"

Choose the correct statement I. Renal artery transport blood to kidney II. Loop of Henle concentrate urine III. Podocytes occur in inner wall of Bowman’s capsule IV. Ultrafiltrate is blood plasma minus protein

Filtration takes place through tiny spaces amongst the cells of capillary walls and filtration slits of podocytes in Bowman’s capsule. Ultrafiltrate is plasma minus protein. Loop of Henle concentrate the urine counter current mechanism

The correct Option is "I, II and IV"

Observe the migration of DNA during agarose gel electrophoresis. Choose the correct statement.

In agarose gel electrophoresis, smaller fragments move faster closer to anode. Lane 1: undigested DNA

Lane 1 represents smallest DNA fragment towards anode

Lanes 2, 3 and 4 represent completely digested genomic DNA of different species at different concentrations

These bands of DNA fragments are visible after staining with methylene blue under UV light

The correct Option is "In lane 4, the smallest band of DNA fragment moves farthest and is closest to anode"

Choose the correct statement I. Flame cell is a specialised excretory organ in flatworms II. Bundles of flame cells are called protonephridia. The correct option is

A flame cell is a specialised excretory cell found in the simplest freshwater invertebrates, including, flatworms, rotifers and nemerteans. These are the simplest animals to have a dedicated excretory system. Flame cells function like a kidney, removing waste material bundles of flame cells are called protonephridia

The correct Option is "I and II"

Choose the correct statement.

${C_4} $Plants have Rubisco-enzyme. In ${C_3}$ plants Carboxylation of RuBP leads to formation of PGA.

The ${C_4} - $ plants do not have RUBISCO

Carboxylation of RuBP leads to the formation of PGA and phosphoglycolate

The correct Option is "Carboxylation of phosphoenol pyruvate results in the formation of ${C_4} - $ plants"

Decarboxylation of ${C_4} - $ acids occur in the mesophyll cells

Choose the correct statement for the given options

Intermediate in the pathway are utilised to synthesise other compound

The correct Option is "Intermediates in the pathway are utilised to synthesise other compounds"

No alternative substrates other than glucose is allowed to enter the pathway at intermediate stages

None of the substrate is respired in the pathway at intermediary stages

Pathway functioning is insequential

Choose the correct statement from the codes given below I. Separation from extracellular medium allows the cells to maintain its chemical pool, orderliness of structure and reactions in contrast to disorderly distribution and randomly interacting molecules in the extra-cellular medium II. Cells are unable to recognise one another due to the present of specific chemicals on their surface III. Cells of plant tissues are often connected with one another through cytoplasmic bridges called plasmodesmata IV. Different cells of an organism communicate as well as exchange materials with one another

The ability to distinguish different neighbouring cells is important for organism’s function Glycolipids are lipids with attached carbohydrate, which acts as recognition sites during cell-cell interaction, as well as sites of attachment in a tissue Glycoproteins are often integral membrane proteins and are also important for cell recognition

The correct Option is "I, III and IV"

Choose the correct statement I. Cytokinin – Delay of leaf senescene II. Auxin – Apical dominance III. Ethylene – Seed germination IV. Gibberellins – Immature falling of leaves

Ethylene is a gaseous hormone responsible for fruit ripening. Germination of seed is triggered by soaking of seeds in water. After imbibing water, the embryo secretes gibberellin which stimulates the synthesis of α amylase. Gibberellin is not responsible for falling of leaves. Apical dominance of plants occur due to auxin hormone

The correct Option is "I and II"

Choose the correct statement about the centre of mass (CM) of a system of two particles

We know ${m_1}{r_1} = {m_2}{r_2} \Rightarrow m \times r = constant\,,\,\therefore r \propto \frac{1}{m}$

The CM lies on the line joining the two particles midway between them

The correct Option is "The CM lies on the line joining them at a point whose distance from each particle is inversely proportional to the mass of that particle"

The CM lies on the line joining them at a point whose distance from each particle is proportional to the square of the mass of that particle

The CM is on the line joining them at a point whose distance from each particle is proportional to the mass of that particle

Choose the correct statement(s) for a cricket ball that is spinning clockwise through air S1 : Streamlines of air are symmetric around the ball S2 : The velocity of air above the ball relative to it is larger than that below the ball S3 : The velocity of air above the ball relative to it is smaller than that below the ball S4 : There is a net upward force on the ball

The streamlines of air for a ball which is moving and spinning at the same time is as shown in figure below. The ball is moving forward and relative to it the air is moving backwards. Therefore, the velocity of air above the ball relative to it is larger and below it is smaller. The streamlines thus get crowded above and rarified below. This difference in the velocities of air results in the pressure difference between the lower and upper faces and there is a net upward force on the ball. This dynamic lift due to spinning is known as magnus effect

The correct Option is "S2 and S4"

Choose the correct statement. When concentration of a salt solution is increased

On increasing the concentration of a salt solution, the boiling point of salt solution increases while vapour pressure of the solution decreases.

The correct Option is "Boiling point increases while vapour pressure decreases."

Boiling point decreases while vapour pressure increases.

Freezing point decreases while vapour pressure increases.

Freezing point increases while vapour pressure decreases.

Choose the correct statement from the ones given below for two anilium in:

${\rm{N}}$ cannot have more than 8 elements in its valence shell.

II is not an acceptable canonical structure because carbonium ions are less stable than ammonium ions

II is not an acceptable canonical structure because it is non-aromatic

The correct Option is "II is not an acceptable canonical structure because the nitrogen has 10 valence electrons"

II is an acceptable canonical structure

Choose the correct statement.

Transition metals exhibit variable oxidation states due to particitpation of $\left( {n - 1} \right)d$-electron in bond formation.

Transition elements have low melting points.

Transition elements do not have catalytic activity.

The correct Option is "Transition elements exhibit variable oxidation states."

Transition elements show inert pair effect.

Correct order of reactivity

Halogens are very reactive due to high electronegativity, high electron affinity and comparatively low bond energies. The reactivity of halogen decreases with increase in atomic number. The correct order of reactivity of halogens is ${F_2} > C{l_2} > B{r_2} > {I_2}$

${I_2} > B{r_2} > C{l_2} > {F_2}$

$B{r_2} > {I_2} > C{l_2} > {F_2}$

$C{l_2} > B{r_2} > {I_2} > {F_2}$

The correct Option is "${F_2} > C{l_2} > B{r_2} > {I_2}$"

Calomel (${\rm{H}}{{\rm{g}}_2}{\rm{C}}{{\rm{l}}_2}$) on reaction with ammonium hydroxide gives

${\rm{H}}{{\rm{g}}_2}{\rm{C}}{{\rm{l}}_2} + 2{\rm{N}}{{\rm{H}}_3}{\rm{\;}} \to {\rm{HgN}}{{\rm{H}}_2}{\rm{Cl}} + {\rm{Hg}} + {\rm{N}}{{\rm{H}}_4}{\rm{Cl}}$ white $\;\;\;\;\;$ black

${\rm{N}}{{\rm{H}}_2}-{\rm{Hg}}-{\rm{Hg}}-{\rm{Cl}}$

The correct Option is "${\rm{HgN}}{{\rm{H}}_2}{\rm{Cl}}$"

The bond order of ${\rm{N}}_2^ + $ is

Molecular orbital configuration of ${\rm{N}}_2^ + $ is ${\rm{N}}_2^ + = {\left( {\sigma 1s} \right)^2}{\left( {_\sigma ^*1s} \right)^2}{\left( {\sigma 2s} \right)^2}{\left( {_\sigma ^*2s} \right)^2}{\left( {\pi 2{p_y}} \right)^2} = {\left( {\pi 2{p_z}} \right)^2}{\left( {\sigma 2{p_x}} \right)^1}$ Bond order $ = \frac{{{N_{b - }}{N_a}}}{2} = \frac{{9 - 4}}{2} = 2.5$

Ziegler-Natta catalyst is

${\rm{A}}{{\rm{l}}_2}{\left( {{{\rm{C}}_2}{{\rm{H}}_5}} \right)_6} + {\rm{TiC}}{{\rm{l}}_4}$ is Zeigler Natta catalyst.

${\left( {{\rm{P}}{{\rm{h}}_3}{\rm{P}}} \right)_3}{\rm{RhCl}}$

${\rm{K}}\left[ {{\rm{PtC}}{{\rm{l}}_3}\left( {{{\rm{C}}_2}{{\rm{H}}_4}} \right)} \right]$

The correct Option is "${\rm{[A}}{{\rm{l}}_2}{\left( {{{\rm{C}}_2}{{\rm{H}}_6}} \right)_6} + {\rm{TiC}}{{\rm{l}}_4}]$"

$\left[ {{\rm{Fe}}{{\left( {{{\rm{C}}_2}{{\rm{H}}_5}} \right)}_2}} \right]$

The equation, $\left[ {{P_r} + \frac{3}{{V_r^2}}} \right]\left[ {3{V_r} - 1} \right] = 8{T_r}:$

Follow law of corresponding state, proposed by van der Waals’.

Is equation for law of corresponding states. gases

States that under similar conditions of reduced pressure $\left( {{P_r}} \right)$ and reduced temperature $\left( {{T_r}} \right)$ possess same reduced volume $\left( {{V_r}} \right)$

Provides better results at boiling point of two liquids

The correct Option is "All of the above"

Schottky defect defines imperfection in the lattice structure of a :

Inperfections are notice in solids.

$50\;c{m^3}$ of $0.2\;N\;HCl$ is titrated against $0.1\;N$ $NaOH$ solution. The titration is discontinued after adding $50\;c{m^3}$ of $NaOH$. The remaining titration is completed by adding $0.5\;N$ $KOH$. The volume of $KOH$ required for completing the titration is

When $0.1\;N$ $NaOH$ is used, ${N_1}{V_1} = {N_2}{V_2}$ (For $HCl$) (For $KOH$) $0.2\;N \times {V_1} = 50 \times 0.1\;N$ ${V_1} = \frac{{50 \times 0.1}}{{0.2}} = 25\;c{m^3}$ When $0.5\;N$ $KOH$ is used, ${N_1}{V_1} = {N_3}{V_3}$ (For remaining $HCl$) (for $KOH$) $0.2\;N \times 25 = 0.5\;N \times {V_3}$ ${V_3} = \frac{{0.2 \times 25}}{{0.5}}$ $ = 10\;c{m^3}$

The correct Option is "$10\;c{m^3}$"

In context with the industrial preparation of hydrogen from water gas $\left( {{\rm{CO}} + {{\rm{H}}_2}} \right)$ which of the following is the correct statement.

${\rm{CO}}$ is oxidised to ${\rm{C}}{{\rm{O}}_2}$ with steam in the presence of a catalyst followed by absorption of ${\rm{C}}{{\rm{O}}_2}$ in alkali. $\begin{array}{l} {\rm{CO}} + {{\rm{H}}_2} + {{\rm{H}}_2}{\rm{O}}\xrightarrow[{Catalyst}]{{Steam}}\;\;\;\;\;\;{\rm{C}}{{\rm{O}}_2}\;\;\;\; + \;\;\;2{{\rm{H}}_2}\\ \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\; \downarrow \;\;\;{\rm{KOH}}\\ \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;{{\rm{K}}_2}{\rm{C}}{{\rm{O}}_3} \end{array}$

${{\rm{CO}}}$ and ${{\rm{H}}_2}$ are fractionally separated using differences in their densities

${{\rm{CO}}}$ is removed by absorption in aqueous ${\rm{C}}{{\rm{u}}_2}{\rm{C}}{{\rm{l}}_2}$ solution

${{\rm{H}}_2}$ is removed through occlusion with $pd$

The correct Option is "${{\rm{CO}}}$ is oxidised to ${\rm{C}}{{\rm{O}}_2}\;$ with steam in the presence of a catalyst followed by absorption of ${\rm{C}}{{\rm{O}}_2}\;$ in alkali"

The type of isomerism shown by $\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}{{\left( {{\rm{NCS}}} \right)}_2}} \right]{\rm{Cl}}$ and $\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}\left( {{\rm{NCS}}} \right){\rm{Cl}}} \right]{\rm{NCS}}$ is:

On ionization different species are formed to show ionization isomerism: $\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}{{\left( {{\rm{NCS}}} \right)}_2}} \right]{\rm{Cl}}\leftrightharpoons\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}{{\left( {{\rm{NCS}}} \right)}_2}} \right] + {\rm{C}}{{\rm{l}}^ - }$ $\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}\left( {{\rm{NCS}}} \right){\rm{Cl}}} \right]{\rm{NCS}}\leftrightharpoons\left[ {{\rm{Co}}{{\left( {{\rm{en}}} \right)}_2}\left( {{\rm{NCS}}} \right){\rm{Cl}}} \right] + {\rm{NC}}{{\rm{S}}^ - }$