Match List - I with List - II

Choose the correct answer from the options given below :

Match List - I with List - II

Choose the correct answer from the options given below :

In Calotropis, aestivation is :

Match List - I with List - II.

Choose the correct answer from the options given below :

Match List - I with List - II.

Choose the correct answer from the options given below :

How many times decarboxylation occurs during each TCA cycle?

The dissolution of synaptonemal complex occurs during :

Doubling of the number of chromosomes can be achieved by disrupting mitotic cell division soon after :

Given below are two statements :

Statement I : RuBisCO is the most abundant enzyme in the world.

Statement II : Photorespiration does not occur in C$$_4$$ plants.

In the light of the above statements, choose the most appropriate answer from the options given below :

In 'rivet popper hypothesis', Paul Ehrlich compared the rivets in an airplane to :

In a pea flower, five petals are arranged in a specialized manner with one posterior, two lateral and two anterior. These are named as ___________, __________ and _________ respectively.

In which of the following sets of families, the pollen grains are viable for months?

Transfer of pollen grains from anther to stigma of another flower of same plant is known as :

The phenomenon which is influenced by auxin and also played a major role in its discovery :

The transverse section of a plant part showed polyarch, radial and exarch xylem, with endodermis and pericycle. The plant part is identified as :

The last chromosome sequenced in Human Genome Project was:

The amount of nutrients such as carbon, nitrogen, potassium and calcium present in the soil at any given time is referred to as :

Plants offer rewards to animals in the form of pollen and nectar and the animals facilitate the pollination process. This is an example of :

The species of plants that plays a vital role in controlling the relative abundance of other species in a community is called _________.

Match List - I with List - II.

Choose the correct answer from the options given below :

Inulin is a polymer of :

Thermostable DNA polymerase used in PCR was isolated from :

Name the component that binds to the operator region of an operon and prevents RNA polymerase from transcribing the operon.

A heterozygous pea plant with violet flowers was crossed with homozygous pea plant with white flower. Violet is dominant over white. Which one of the following represents the expected combinations among 40 progenies formed?

Fatty acids are connected with the respiratory pathway through :

Ligation of foreign DNA at which of the following site will result in loss of tetracyclin resistance of pBR322 :

Match List - I with List - II.

Choose the correct answer from the options given below :

Which classes of algae possess pigment fucoxanthin and pigment phycoerythrin, respectively ?

In which disorder change of single base pair in the gene for beta globin chain results in change of glutamic acid to valine ?

For chemical defence against herbivores, Calotropis has :

Consider the following tissues in the stelar region of a stem showing secondary growth.

(A) Primary xylem

(B) Secondary xylem

(C) Primary phloem

(D) Secondary phloem

Arrange these in the correct sequence of their position from pith towards corts.

Which out of the following statements is incorrect?

In angiosperms the correct sequence of events in formation of female gametophyte in the ovule is :

(A) 3 successive free nuclear divisions functional megaspore.

(B) Degeneration of 3 megaspores.

(C) Meiotic division in megaspore mother cell.

(D) Migration of 3 nuclei towards each pole.

(E) Formation of wall resulting in seven celled embryosac.

Choose the correct answer from the options given below :

Which of the following statements is true?

Which of the following statement is incorrect about Agrobacterium tumifaciens?

Consider the following plant tissues :

(A) Axillary buds

(B) Fascicular vascular cambium

(C) Interfascicular cambium

(D) Cork cambium

(E) Intercalary meristem

Identify the lateral meristems among the above.

Match List I with List II.

Choose the correct answer from the options given below :

Given below are two statements :

Statement I : The process of copying genetic information from one strand of the DNA into RNA is termed as transcription.

Statement II : A transcription unit in DNA is defined primarily by the three regions in the DNA i.e., a promotor, the structural gene and a terminator.

In the light of the above statements, choose the correct answer from the options given below :

Which scientist conducted an experiment with ³²P and ³⁵S labelled phages for demonstrating that DNA is the genetic material?

A certain plant homozygous for yellow seeds and red flowers was crossed with a plant homozygous for green seeds and white flowers. The F₁ plants had yellow seeds and pink flowers. The F₁ plants were selfed to get F₂ progeny. Assuming independent assortment of the two characters, how many phenotypic categories are expected for these characters in the F₂ generation ?

During which stages of mitosis and meiosis, respectively does the centromere of each chromosome split ?

Which of the following statements is not correct ?

Match the following :

Select the correct option :

Which of the following sexually transmitted infections are completely curable ?

Match List - I with List - II.

Choose the correct answer from the options given below :

Which of the following is not a secondary metabolite?

House fly belongs to _____ family.

Select incorrect statement, regarding chemical structure of insulin.

Which one of the following is the quiescent stage of cell cycle?

Given below are two statements :

Statement I : RNA being unstable, mutate at a faster rate.

Statement II : RNA can directly code for synthesis of proteins hence can easily express the characters.

In the light of the above statements, choose the correct answer from the options given below :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A) : Ascending limb of loop of Henle is impermeable to water and allows transport of electrolytes actively or passively.

Reason (R) : Dilution of filtrate takes place due to efflux of electrolytes in the medullary fluid.

In the light of the above statements, choose the correct answer from the options given below :

The Cockroach is :

Which of the following statements are correct with respect to the hormone and its function?

(A) Thyrocalcitonin (TCT) regulates the blood calcium level.

(B) In males, FSH and androgens regulate spermatogenesis.

(C) Hyperthyroidism can lead to goitre.

(D) Glucocorticoids are secreted in Adrenal Medulla.

(E) Parathyroid hormone is regulated by circulating levels of sodium ions.

Choose the most appropriate answer from the options given below :

Select the sequence of steps in Respiration.

(A) Diffusion of gases (O₂ and CO₂) across alveolar membrane.

(B) Diffusion of O₂ and CO₂ between blood and tissues.

(C) Transport of gases by the blood

(D) Pulmonary ventilation by which atmospheric air is drawn in and CO₂ rich alveolar air is released out.

(E) Utilisation of O₂ by the cells for catabolic reactions are resultant release of CO₂

Choose the correct answer from the options given below :

Which of the following is/are cause(s) of biodiversity losses ?

Match List-I with List-II.

Choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Match List - I with List - II.

Choose the correct answer from the options given below :

Which of the following can act as molecular scissors?

Select the correct statements about sickle cell anaemia.

(A) There is a change in gene for beta globin.

(B) In the beta globin, there is valine in the place of Lysine.

(C) It is an example of point mutation.

(D) In the normal gene U is replaced by A.

Choose the correct answer from the options given below :

Given below are two statements :

Statement I :- Intra Cytoplasmic Sperm Injection (ICSI) is another specialised procedure of in-vivo fertilisation.

Statement II :- Infertility cases due to inability of the male partner to inseminate female can be corrected by artificial insemination (AI).

In the light of the above statements, choose the correct answer from the options given below:

Match List-I with List-II.

Choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Given below are two statements :

Statement I :- Goblet cells are unicellular glands.

Statement II :- Earwax is the secretion of exocrine gland.

In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements regarding oogenesis:

Statement I :- The primary follicles get surrounded by more layers of granulosa cells, a theca and shows fluid filled cavity antrum. Now it is called secondary follicle.

Statement II :- Graffian follicle ruptures to release the secondary oocyte from the ovary by the process called ovulation.

In the light of the above statements, choose the correct answer from the options given below:

If there are 250 snails in a pond, and within a year their number increases to 2500 by reproduction. What should be their birth rate per snail per year ?

Given below are two statements :

Statement I :- The nose contains mucus – coated receptors which are specialised for receiving the sense of smell and are called olfactory receptors.

Statement II :- Wall of the eye ball has three layers. The external layer is called choroid (dense connective tissue), middle layer is sclera (thin pigmented layer) and internal layer is retina (ganglion cells, bipolar cells and photoreceptor cells).

In the light of the above statements, choose the correct answer from the options given below:

Which one of the following acts as an inducer for lac operon ?

'X' and 'Y' are the components of Binomial nomenclature. This naming system was proposed by 'Z' :

Which of the following statements are correct ?

(A) Reproductive health refers to total well-being in all aspects of reproduction.

(B) Amniocentesis is legally banned for sex determination in India.

(C) "Saheli" – a new oral contraceptive for females was developed in collaboration with ICMR (New Delhi).

(D) Amniocentesis is used to determine genetic disorders and survivability of foetus.

Choose the most appropriate answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Given below are two statements :

Statement I :- In bacteria, the mesosomes are formed by the extensions of plasma membrane.

Statement II :- The mesosomes, in bacteria, help in DNA replication and cell wall formation.

In the light of the above statements, choose the most appropriate answer from the options given below:

Select correct sequence of substages of Prophase-I of Meiotic division :

(A) Zygotene

(B) Pachytene

(C) Diakinesis

(D) Leptotene

(E) Diplotene

Choose the correct answer from the options given below :

Brainstem of human brain consists of :

Identify the fossil of man who showed the following characteristics.

(A) Brain capacity of 1400 cc

(B) Used hides to protect their body

(C) Buried their dead bodies

In the light of above statements, choose the correct answer from the options given below :

With reference to Hershey and Chase experiments. Select the correct statements.

(A) Viruses grown in the presence of radioactive phosphorus contained radioactive DNA.

(B) Viruses grown on radioactive sulphur contained radioactive proteins.

(C) Viruses grown on radioactive phosphorus contained radioactive protein.

(D) Viruses grown on radioactive sulphur contained radioactive DNA.

(E) Viruses grown on radioactive protein contained radioactive DNA.

Choose the most appropriate answer from the options given below :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : A person goes to high altitude and experiences "Altitude Sickness" with symptoms like breathing difficulty and heart palpitations.

Reason (R) : Due to low atmospheric pressure at high altitude, the body does not get sufficient oxygen.

In the light of the above statements, choose the correct answer from the options given below :

The salient features of genetic code are :

(A) The code is palindromic

(B) UGA act as initiator codon

(C) The code is unambiguous and specific

(D) The code is nearly universal

Choose the most appropriate answer from the options given below :

Arrange the events of Renin - Angiotensin mechanism in correct sequence.

(A) Activation of JG cells and release of renin.

(B) Angiotensin II activates release of aldosterone.

(C) Fall in glomerular blood pressure.

(D) Reabsorption of Na⁺ and water from distal convoluted tubule.

(E) Angiotensinogen is converted to Angiotensin I and then to Angiotensin II.

Choose the correct answer from the options given below :

Given below are two statements :

Statement I : Parathyroid hormone acts on bones and stimulates the process of bone resorption.

Statement II : Parathyroid hormone along with Thyrocalcitonin plays a significant role in carbohydrate metabolism.

In the light of the above statements, choose the correct answer from the options given below :

Select the correct statements :

(A) Platyhelminthes are triploblastic pseudocoelomate and bilaterally symmetrical organisms.

(B) Ctenophores reproduce only sexually and fertilization is external.

(C) In tapeworm, fertilization is internal but sexes are not separate.

(D) Ctenophores are exclusively marine, diploblastic and bioluminescent organisms.

(E) In sponges, fertilization is external and development is direct.

Choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Which of the following statements are correct with respect of Golgi apparatus ?

(A) It is the important site of formation of glycoprotein and glycolipids.

(B) It produces cellular energy in the form of ATP.

(C) It modifies the protein synthesized by ribosomes on ER.

(D) It facilitates the transport of ions.

(E) It provides mechanical support.

Choose the most appropriate answer from the options given below :

Given below are two statements :

Statement I : In cockroach, the forewings are transparent and prothoracic in origin.

Statement II : In cockroach, the hind wings are opaque, leathery and mesothoracic in origin.

In the light of the above statements, choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below :

Select the correct statement/s with respect to mechanism of sex determination in Grasshopper.

(A) It is an example of female heterogamety.

(B) Male produces two different types of gametes either with or without X chromosome.

(C) Total number of chromosomes (autosomes and sex chromosomes) is same in both males and females.

(D) All eggs bear an additional X chromosome besides the autosomes.

Choose the correct answer from the options given below :

Incorrect set of quantum numbers from the following is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Ionisation enthalpy increases along each series of the transition elements from left to right. However, small variations occur.

Reason (R) : There is corresponding increase in nuclear charge which accompanies the filling of electrons in the inner d-orbitals.

In the light of the above statements, choose the most appropriate answer from the options given below :

For a weak acid HA, the percentage of dissociation is nearly 1% at equilibrium. If the concentration of acid is 0.1 mol L$$^{-1}$$, then the correct option for its K$$_a$$ at the same temperature is :

The density of 1 M solution of a compound 'X' is 1.25 g mL$$^{-1}$$. The correct option for the molality of solution is (Molar mass of compound X = 85 g):

Consider the given reaction:

$$\mathrm{CH}_3 \mathrm{COCH}_3 \stackrel{\text { dil } \mathrm{Ba}(\mathrm{OH})_2}{\longrightarrow} \text { ''X" }$$

The functional groups present in compound "$$\mathrm{X}$$" are:

The $$\mathrm{E}^{\Theta}$$ values for

$$\begin{aligned} & \mathrm{Al}^{+} / \mathrm{Al}=+0.55 \mathrm{~V} \text { and } \mathrm{Tl}^{+} / \mathrm{Tl}=-0.34 \mathrm{~V} \\ & \mathrm{Al}^{3+} / \mathrm{Al}=-1.66 \mathrm{~V} \text { and } \mathrm{T}^{3+} / \mathrm{Tl}=+1.26 \mathrm{~V} \end{aligned}$$

Identify the incorrect statement

The correct order of dipole moments for molecules $$\mathrm{NH}_3, \mathrm{H}_2 \mathrm{~S}, \mathrm{CH}_4$$ and $$\mathrm{HF}$$, is:

Molar conductance of an electrolyte increase with dilution according to the equation:

$$\Lambda_{\mathrm{m}}=\Lambda_{\mathrm{m}}^{\circ}-\mathrm{A} \sqrt{\mathrm{c}}$$

Which of the following statements are true?

(A) This equation applies to both strong and weak electrolytes.

(B) Value of the constant $$\mathrm{A}$$ depends upon the nature of the solvent.

(C) Value of constant $$\mathrm{A}$$ is same for both $$\mathrm{BaCl}_2$$ and $$\mathrm{MgSO}_4$$

(D) Value of constant $$\mathrm{A}$$ is same for both $$\mathrm{BaCl}_2$$ and $$\mathrm{Mg}(\mathrm{OH})_2$$

Choose the most appropriate answer from the options given below:

The correct value of cell potential in volt for the reaction that occurs when the following two half cells are connected, is

$$\begin{aligned} & \mathrm{Fe}_{(\mathrm{aq})}^{2+}+2 \mathrm{e}^{-} \rightarrow \mathrm{Fe}(\mathrm{s}), \mathrm{E}^{\circ}=-0.44 \mathrm{~V} \\ & \mathrm{Cr}_2 \mathrm{O}_7^{2-} \text { (aq) }+14 \mathrm{H}^{+}+6 e^{-} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_2 \mathrm{O} \\ & \mathrm{E}^{\circ}=+1.33 \mathrm{~V} \end{aligned}$$

Identify 'X' in above reactions

For a reaction $$3 \mathrm{~A} \rightarrow 2 \mathrm{~B}$$

The average rate of appearance of $$\mathrm{B}$$ is given by $$\frac{\Delta[B]}{\Delta t}$$. The correct relation between the average rate of appearance of $$\mathrm{B}$$ with the average rate of disappearance of A is given in option :

The following conversion is known as:

Which one of the following represents all isoelectronic species ?

Given below are two statements:

Statement I : The value of wave function, $$\psi $$ depends upon the coordinates of the electron in the atom.

Statement II : The probability of finding an electron at a point within an atom is proportional to the orbital wave function.

In the light of the above statements, choose the correct answer from the options given below:

Which of the following is correctly matched?

Which amongst the following reactions of alkyl halides produces isonitrile as a major product?

(A) $$\mathrm{R-X+HCN\to}$$

(B) $$\mathrm{R-X+AgCN\to}$$

(C) $$\mathrm{R-X+KCN\to}$$

(D) $$\mathrm{R-X+NaCN\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{{C_2}{H_5}OH}^{{H_2}O}}}$$

Choose the most appropriate answer from the options given below:

Match the List - I with List - II

Choose the correct answer from the options given below :

Which one of the following statements is incorrect related to Molecular Orbital Theory?

An acidic buffer is prepared by mixing :

Reagents which can be used to convert alcohols to carboxylic acids, are

(A) $$\mathrm{CrO}_3-\mathrm{H}_2 \mathrm{SO}_4$$

(B) $$\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7+\mathrm{H}_2 \mathrm{SO}_4$$

(C) $$\mathrm{KMnO}_4+\mathrm{KOH} / \mathrm{H}_3 \mathrm{O}^{+}$$

(D) $$\mathrm{Cu}, 573 \mathrm{~K}$$

(E) $$\mathrm{CrO}_3,\left(\mathrm{CH}_3 \mathrm{CO}\right)_2 \mathrm{O}$$

Choose the most appropriate answer from the options given below :

Select the element (M) whose trihalides cannot be hydrolysed to produce an ion of the form [M(H$$_2$$O$$_6$$]$$^{3+}$$

The correct options for the rate law that corresponds to overall first order reaction is

Which amongst the following compounds/species is least basic?

Which of the following forms a set of complex and a double salt, respectively?

Which amongst the following compounds will show geometrical isomerism?

Given below are two statements:

Statement I : Hydrated chlorides and bromides of $$\mathrm{Ca}, \mathrm{Sr}$$ and $$\mathrm{Ba}$$ on heating undergo hydrolysis.

Statement II : Hydrated chlorides and bromides of $$\mathrm{Be}$$ and $$\mathrm{Mg}$$ on heating undergo dehydration.

In the light of the above statements, choose the correct answer from the options given below :

The correct order for the rate of $$\alpha,\beta$$-dehydrohalogenation for the following compounds is _________.

Type of isomerism exhibited by compounds $$ \left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_6 \mathrm{Cl}_3,\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{Cl}_2 \mathrm{Cl}_2 \cdot \mathrm{H}_2 \mathrm{O}\right.\right.,\left[\mathrm{Cr}\left(\mathrm{H}_2 \mathrm{O}\right)_4 \mathrm{Cl}_2\right] \mathrm{Cl} .2 \mathrm{H}_2 \mathrm{O}$$ and the value of coordination number $$(\mathrm{CN})$$ of central metal ion in all these compounds, respectively is :

The correct sequence given below containing neutral, acidic, basic and amphoteric oxide each, respectively, is

Choose the correct sequence of reagents in the conversion of 4-nitrotoluene to 2-bromotoluene.

Identify the product in the following reaction

Given below are two statements:

Statement I : In an organic compound, when inductive and electromeric effects operate in opposite directions, the inductive effect predominates.

Statement II : Hyperconjugation is observed in o-xylene.

In the light of the above statements, choose the correct answer from the options given below :

The correct option for a redox couple is:

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Ionisation enthalpies of early actinoids are lower than for early lanthanoids.

Reason (R) : Electrons are entering 5f orbitals in actinoids which experience greater shielding from nuclear charge.

In the light of the above statements, choose the correct answer from the options given below :

Consider the following reaction :-

$$2 \mathrm{H}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}_2 \mathrm{O}(\mathrm{g}) \Delta_{\mathrm{r}} \mathrm{H}^{\circ}=-483.64 \mathrm{~kJ} \text {. }$$

What is the enthalpy change for decomposition of one mole of water? (Choose the right option).

Which amongst the following aqueous solution of electrolytes will have minimum elevation in boiling point? Choose the correct option :-

Identify 'X' in the following reaction.

The major product formed in the following conversion is ___________.

The variation of susceptibility $$(\chi)$$ with absolute temperature ( $$\mathrm{T}$$ ) for a paramagnetic material is represented as :

A bullet of mass $$m$$ hits a block of mass $$M$$ elastically. The transfer of energy is the maximum, when :

The ground state energy of hydrogen atom is $$-13.6 ~\mathrm{eV}$$. The energy needed to ionize hydrogen atom from its second excited state will be :

The escape velocity of a body on the earth surface is $$11.2 \mathrm{~km} / \mathrm{s}$$. If the same body is projected upward with velocity $$22.4 \mathrm{~km} / \mathrm{s}$$, the velocity of this body at infinite distance from the centre of the earth will be:

A lens is made up of 3 different transparent media as shown in figure. A point object O is placed on its axis beyond $$2f$$. How many real images will be obtained on the other side?

The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $$3.33 \mathrm{~cm}, 3.32 \mathrm{~cm}, 3.34 \mathrm{~cm}, 3.33 \mathrm{~cm}$$ and $$3.32 \mathrm{~cm}$$. The mean diameter to appropriate significant figures is :

On the basis of electrical conductivity, which one of the following material has the smallest resistivity?

The mechanical quantity, which has dimensions of reciprocal of mass $$(\mathrm{M}^{-1})$$ is :

The position of a particle is given by

$$\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k} $$

where $$\mathrm{t}$$ is in seconds and $$\mathrm{r}$$ in metre. Find the magnitude and direction of velocity $$v(t)$$, at $$t=1 \mathrm{~s}$$, with respect to $$\mathrm{x}$$-axis

For the given cycle, the work done during isobaric process is:

The equivalent capacitance of the arrangement shown in figure is:

An ac source is connected in the given circuit. The value of $\phi$ will be :

The given circuit is equivalent to:

A particle moves with a velocity $$(5 \hat{i}-3 \hat{j}+6 \hat{k}) ~\mathrm{ms}^{-1}$$ horizontally under the action of constant force $$(10 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}+20 \hat{\mathrm{k}}) \mathrm{N}$$. The instantaneous power supplied to the particle is :

A certain wire $$\mathrm{A}$$ has resistance $$81 ~\Omega$$. The resistance of another wire $$\mathrm{B}$$ of same material and equal length but of diameter thrice the diameter of A will be :

$$\epsilon_0$$ and $$\mu_0$$ are the electric permittivity and magnetic permeability of free space respectively. If the corresponding quantities of a medium are $$2 ~\epsilon_0$$ and $$1.5 ~\mu_0$$ respectively, the refractive index of the medium will nearly be :

The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length $$100 \mathrm{~cm}$$ to stretch it by $$1 \mathrm{~mm}$$ is (if Young's modulus of the wire $$=2.0 \times 10^{11} \mathrm{Nm}^{-2}$$ ) :

The $$4^{\text {th }}$$ overtone of a closed organ pipe is same as that of $$3^{\text {rd }}$$ overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is :

A long straight wire of length $$2 \mathrm{~m}$$ and mass $$250 \mathrm{~g}$$ is suspended horizontally in a uniform horizontal magnetic field of $$0.7 \mathrm{~T}$$. The amount of current flowing through the wire will be $$\left(\mathrm{g}=9.8 \mathrm{~ms}^{-2}\right)$$ :

According to Gauss law of electrostatics, electric flux through a closed surface depends on :

A ball is projected from point A with velocity $$20 \mathrm{~m} \mathrm{~s}^{-1}$$ at an angle $$60^{\circ}$$ to the horizontal direction. At the highest point $$\mathrm{B}$$ of the path (as shown in figure), the velocity $$\mathrm{v} \mathrm{m} \mathrm{s}^{-1}$$ of the ball will be:

Which of the following statement is not true?

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected in the region such that its velocity is pointed along the direction of fields, then the electron:

A horizontal ray of light is incident on the right angled prism with prism angle $$6^{\circ}$$. If the refractive index of the material of the prism is 1.5 , then the angle of emergence will be:

A p-type extrinsic semiconductor is obtained when Germanium is doped with:

Which set of colours will come out in air for a situation shown in figure?

If Z$$_1$$ and Z$$_2$$ are the impedances of the given circuits (a) and (b) as shown in figures, then choose the correct option

The wavelength of Lyman series of hydrogen atom appears in:

The de Broglie wavelength associated with an electron, accelerated by a potential difference of 81 V is given by:

The maximum power is dissipated for an ac in a/an:

The maximum kinetic energy of the emitted photoelectrons in photoelectric effect is independent of:

Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3v, the speed of centre of mass is :

A charge $$\mathrm{Q} ~\mu \mathrm{C}$$ is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit) :

The viscous drag acting on a metal sphere of diameter $$1 \mathrm{~mm}$$, falling through a fluid of viscosity $$0.8 \mathrm{~Pa}$$ s with a velocity of $$2 \mathrm{~m} \mathrm{~s}^{-1}$$ is equal to :

If $$\mathrm{R}$$ is the radius of the earth and $$\mathrm{g}$$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be :

A copper wire of radius $$1 \mathrm{~mm}$$ contains $$10^{22}$$ free electrons per cubic metre. The drift velocity for free electrons when $$10 \mathrm{~A}$$ current flows through the wire will be (Given, charge on electron $$=1.6 \times 10^{-19} \mathrm{C}$$ ) :

An object is mounted on a wall. Its image of equal size is to be obtained on a parallel wall with the help of a convex lens placed between these walls. The lens is kept at distance x in front of the second wall. The required focal length of the lens will be :

If a conducting sphere of radius $$\mathrm{R}$$ is charged. Then the electric field at a distance $$\mathrm{r}(\mathrm{r} > \mathrm{R})$$ from the centre of the sphere would be, $$(\mathrm{V}=$$ potential on the surface of the sphere)

A block of mass 2 kg is placed on inclined rough surface AC (as shown in figure) of coefficient of friction $$\mu$$. If g = 10 m s$$^{-2}$$, the net force (in N) on the block will be:

A container of volume $$200 \mathrm{~cm}^3$$ contains 0.2 mole of hydrogen gas and 0.3 mole of argon gas. The pressure of the system at temperature $$200 \mathrm{~K}$$ ($$\mathrm{R}=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}$$) will be :-

To produce an instantaneous displacement current of $$2 \mathrm{~mA}$$ in the space between the parallel plates of a capacitor of capacitance $$4 ~\mu \mathrm{F}$$, the rate of change of applied variable potential difference $$\left(\frac{\mathrm{dV}}{\mathrm{dt}}\right)$$ must be :-

An emf is generated by an ac generator having 100 turn coil, of loop area $$1 \mathrm{~m}^2$$. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of $$0.05 \mathrm{~T}$$ perpendicular to the axis of rotation of the coil. The maximum value of emf is :-

For very high frequencies, the effective impedance of the circuit (shown in the figure) will be:-

A constant torque of $$100 \mathrm{~N} \mathrm{~m}$$ turns a wheel of moment of inertia $$300 \mathrm{~kg} \mathrm{~m}^2$$ about an axis passing through its centre. Starting from rest, its angular velocity after $$3 \mathrm{~s}$$ is :-

The emf of a cell having internal resistance $$1 \Omega$$ is balanced against a length of $$330 \mathrm{~cm}$$ on a potentiometer wire. When an external resistance of $$2 \Omega$$ is connected across the cell, the balancing length will be :

A $$1 \mathrm{~kg}$$ object strikes a wall with velocity $$1 \mathrm{~m} \mathrm{~s}^{-1}$$ at an angle of $$60^{\circ}$$ with the wall and reflects at the same angle. If it remains in contact with wall for $$0.1 \mathrm{~s}$$, then the force exerted on the wall is :

The angular momentum of an electron moving in an orbit of hydrogen atom is $$\mathrm{1.5\left(\frac{h}{\pi}\right)}$$. The energy in the same orbit is nearly.

A particle is executing uniform circular motion with velocity $$\vec{v}$$ and acceleration $$\vec{a}$$. Which of the following is true?

A simple pendulum oscillating in air has a period of $$\sqrt{3} \mathrm{~s}$$. If it is completely immersed in non-viscous liquid, having density $$\left(\frac{1}{4}\right)^{\text {th }}$$ of the material of the bob, the new period will be :-