Biology
Any foreign substance invading body and capable of stimulating an immune response is _________ .
Identify the labels ' X ', ${ }^{\prime} \mathrm{Y}^{\prime}$ and ' Z ' in following figure.

Which of the following statements are correct regarding chromosomal basis of sex determination?
i. The mechanism of sex determination in insect is XX - XO type.
ii. In honey-bee, haplo-diploid type of sex determination is observed.
iii. Human males have homomorphic sex chromosomes.
iv. Human females have heteromorphic sex chromosomes.
v. Chromosomal mechanism of sex determination in birds is ZW-ZZ type.
Which of the following is INCORRECT in case of severe haemorrhage?
Select the INCORRECT statements.
i. The rate of formation of $\mathrm{H}_2 \mathrm{CO}_3$ is slower in RBCs and faster in plasma.
ii. Dissociation of $\mathrm{H}_2 \mathrm{CO}_3$ into $\mathrm{H}^{+}$and $\mathrm{HCO}_3^{-}$ takes place due to carbonic anhydrase.
iii. The carbonic anhydrase is present in leucocytes,
iv. The prosthetic group of carbonic anhydrase is Mn .
Select the correct option.
Following table shows ABO blood group in man. Observe carefully and identify 'P', 'Q' and ' R '.

In the above logistic growth curve of population, identify ' $A$ ', ' $B$ ' and ' $C$ '.

Given below are two statements.
Statement I - Wall of the left ventricle is more muscular and about three times thicker than that of the right ventricle.
Statement II - Columnae carneae are present in the wall of atria as well as ventricles.
In the light of above statements, select the correct option given below:
Following changes occur during the successive seral stages of ecological succession EXCEPT _______
What is the time duration required for completion of one PCR Cycle?
Gland which was considered vestigial but later found to produce melatonin is _________
Stomatal transpiration takes place during day time in the following plants EXCEPT __________
Given below are two statements.
Statement I - Defective development of foetus is examined by amniocentesis.
Statement II - Defective foetus can be terminated after 20 weeks of pregnancy.
In the light of above statements, select the correct option given below:
A graph shows effect of substrate concentration on enzyme activity. In this graph ' Y ' axis represents.

When a biotic agent is bat, the pollination is called
In Glycolysis, which one of the following conversion shows ATP formation?
Match the Columns I, II and III based an excretion.
| Column I (Part of Nephron) |
Column II (Type of cells) |
Column III (Function) |
|||
|---|---|---|---|---|---|
| a. | Bownman's capsule | (i) | Squamous epithelium | p. | passage of filterate |
| b. | Neck of nephron | (ii) | Cuboidal epithelium | q. | selective reabsorption |
| c. | Proximal convoluted tubule | (iii) | Ciliated epithelium | r. | filtration of blood |
Which type of mutation causes sickle cell anaemia?
Which of the following is NOT an acrosomal reaction?
Which of the following is NOT the function of erythrocytes?
If dark period is interrupted by a flash of red light of 660 nm , then SDP will not flower. But if it is immediately followed by _________ then SDP will flower.
The purposeful manipulation in the heredity of crops and the production of new superior varieties of existing crop plants is called ___________
The quantity of CO and hydrocarbons in the exhaust of a motor vehicle can be reduced by installing ____________ in it.
i. a scrubber
ii. an electrostatic precipitator
iii. a catalytic converter
Select the correct option:
Given below is a list of hormones. How many of the following are hypothalamic hormones?
i. Thyroid stimulating Hormone.
ii. Follicle stimulating hormone.
iii. Oxytocin
iv. Collip's hormone
v. Prolactostatin
vi. Gonadotropin Releasing hormone
vii. Adrenocorticotropin releasing hormone.
Select the correct option:
If you cross two heterozygous plants, how many of the all possible $F_1$ offsprings will also be heterozygous?
Small intestine opens into large intestine at the junction of _________
Which one of the following is NOT a prime element?
Germ pores of pollen grains are useful for
Primary urine contains all of the following, EXCEPT
Given below are two statements.
Statement I - The long term storage places like sediments and oceanic water are termed as 'sinks'.
Statement II - Human activities like fossil fuel burning and deforestation have affected the global carbon cycle.
In the light of above statements, select the correct option given below:
Resting potential of an axon is ___________ .
The figure shows photoperiodism. Identify its correct explanation from the following.

Given below are two statements.
Statement I - In the follicular phase of menstrual cycle, the thickness of endometrium reaches $3-5 \mathrm{~mm}$.
Statement II - FSH stimulates 6-12 primary follicles to proceed in development to form secondary follicles.
In the light of above statements, Select the correct option given below:
Water constitutes about ______________to ____________ $\%$ of plant cells and tissues.
Arrange the following events of chemical evolution in proper sequence.
i. formation of nucleic acid
ii. formation of eobionts
iii. formation of protocell
iv. formation of complex organic compounds
A molecule of triglyceride is composed of
About _________ percentage of starch gets converted to maltose in mouth.
Total number of ATP molecules formed by substrate level phosphorylation in complete oxidation of one glucose molecule are ___________.
Which of the following pairs are haploid structures?
Match the Column I and II
| Column (I) | Column (II) | ||
|---|---|---|---|
| i. | $\mathrm{CO}_2$ dissolved in plasma | a. | 23 % |
| ii. | $\mathrm{CO}_2$ transported as bicarbonate ions | b. | 7 % |
| iii. | $\mathrm{CO}_2$ transported by RBC as carbaminohaemoglobin | c. | 70 % |
| iv. | $\mathrm{O}_2$ transportation by RBCs as oxyhaemoglobin | d. | 97 % |
Choose the correct option:
Subcutaneous Filariasis is caused by __________
Which of the following organic acid is used in medicine for solubility of $\mathrm{Ca}^{++}$?
Given below are two statements.
Statement I - The recognition sites of RENs are 4-8 nucleotides bps long and are characterized by a particular type of internal symmetry.
Statement II - Different restriction enzymes found in different organisms recognise different nucleotide sequences and cut the DNA at different sites.
In the light of above statements, select the correct option given below:
Which one of the following neurohypophyseal hormones brings about increase in BP?
Glycine is coded by GGA in prokaryotic cell, it will code for ________ in eukaryotic cell.
Sexually reproduced offsprings tend to differ from their parents. This is known as __________
Which of the following is correct regarding cystine stones?
i. These are formed in response to bacterial infection.
ii. It is a genetic disorder.
iii. These grow quickly and become quite large.
iv. Occurs in people who consume high protein diet.
v. People who suffer excrete too much of certain amino acid.
Which one of the following enters mitochondrial matrix after glycolysis?
Match a type of artificial method of vegetative reproduction given in Column I with examples given in Column II.
| Column (I) | Column (II) | ||
|---|---|---|---|
| i. | Root cutting | a. | Apple |
| ii. | Bud grafting | b. | Sansevieria |
| iii. | Stem cutting | c. | Blackberry |
| iv. | Leaf cutting | d. | Rose |
Choose the correct option:
Symptoms like disappearance of subcutaneous fat, prominent ribs, dry skin and atrophy of digestive glands are seen in one year old infant. Identify the disease this child is suffering from
The following forms of water EXCEPT _________ water is NOT available to plants for absorption.
Identify the mRNA transcribed from the DNA having following nucleotide sequence.

Due to formation of oxyhaemoglobin, the pH of blood decreases due to release of $\mathrm{H}^{+}$ion and the $\mathrm{H}_2 \mathrm{CO}_3$ dissociates into $\mathrm{H}_2 \mathrm{O}$ and $\mathrm{CO}_2$. This is called __________ .
Given below are two statements.
Statement I - Thickness of ozone is more above the poles than at the equator.
Statement II - The 'ozone holes' are generally found in Antarctic region.
In the light of above statements, select the correct option given below:
The famous wine of Goa, traditionally called 'fenny', is made by fermenting the fleshy pedicels of __________ fruits.
Disorder caused due to accumulation of amyloid proteins in CNS is ___________
In genetic engineering, the foreign DNA is also called ___________ .
Excessive dosage of ____________ causes extreme happiness, irritability and paranoia
The blastocyst stage of development is reached by the end of ___________ day.
Pongidae includes $\qquad$
How many times dehydrogenation occurs during Krebs cycle?
Which of the following covering of testis originates from peritoneum?
In a dihybrid cross, $9: 3: 3: 1$ ratio, denotes that ___________.
How does the Hb act as buffer?
Which one of the following genetically engineered microorganisms, used for clearing oil spills in the sea, was given first biopatent?
The current loss of biodiversity which is progressing at an alarming rate is estimated to be ________ to __________ times faster than prehuman times.
Which of the following statements is INCORRECT regarding macula lutea?
Spores of which one of the microbial biocontrol agents are used to get rid of butterfly?
In oliguria condition, urine output is less than ___________.
Cerebrosides found in white matter of brain and myelin sheath contains
With respect to spermatogenesis, match Column I with Column II and select the correct option.
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| Column I | Column II | ||
|---|---|---|---|
| i. | Phase of growth | a. | Spermatid |
| ii. | Spermiogenesis | b. | Primary Spermatocyte |
| iii. | Production of spermatogonia | c. | Meiosis |
| iv. | Phase maturation of |
d. | Mitosis |
Match concepts of origin of life in Column I with their examples given in Column II.
| Column (I) | Column (II) | ||
|---|---|---|---|
| i. | Geographical | a. | Moths of Great Britain in 1845 |
| ii. | Convergent evolution | b. | Bones of forelimbs in man and whale |
| iii. | Divergent evolution | c. | Wings of butterfly and bird |
| iv. | Natural selection | d. | Darwin finches |
Which one of the following represents qualitative growth in plants?
The smallest WBC is __________.
Given below are two statements about absorption of water in plants.
Statement I - Rate of water absorption is maximum at soil temperature between 40 to $60^{\circ} \mathrm{C}$.
Statement II - High concentration of solutes in soil water increases the rate of absorption of water.
In the light of above statements, select the correct option given below:
Select the mismatched pair
Given below are two statements.
Statement I - Glycolysis occurs in cytoplasm of the cell.
Statement II - Glycolysis is a common process in aerobic as well as anaerobic respiration.
In the light of above statements, select the correct option given below:
Given below are two statements.
Statement I - Directional selection favours intermediate forms and eliminates both phenotypic extremes.
Statement II - In directional selection, more individuals acquire value other than mean character value.
In the light of above statements, select the correct option given below:
Select the correct statements regarding sympathetic nervous system.
i. It consists of 31 pairs of sympathetic ganglia.
ii. It is also called cranio- sacral outflow.
iii. It controls body activities like fight and flight
iv. Pre-ganglionic fibres are long and post response. ganglionic fibres are short.
v. Adrenaline is produced towards terminal end of post-ganglionic fibres.
The amount of ________ determines the pattern of ecological succession in the given area.
If 10 ml of the blood sample of a healthy person, containing added anticoagulant, is subjected to centrifugation, then approximately how much will be the amount of plasma?
Interaction between flamingos visiting Mumbai west coast and resident fishes is of _________ type.
Following are the limitations of ecological pyramids EXCEPT __________ .
Which one of the following hormones is a modified amino acid?
Minerals are absorbed by plants in the ionic form through _________ region of roots.
Which of the following pairs of organisms are ureotelic?
The core DNA in the nucleosome is _________ base pairs long
Match the concepts given in Column I with their scientist who proposed them given in Column II.
| Column (I) | Column (II) | ||
|---|---|---|---|
| i. | Osmotic absorption | a. | Bohem |
| ii. | Non-osmotic absorption | b. | Dixon and Jolly |
| iii. | Capillarity theory | c. | Atkins and Priestley |
| iv. | Cohesion- tension theory | d. | Kramer and Thiman |
Choose the correct option:
Darwin's finches are good example of ____________
If the sequence of gene loci on a chromosome are A-B-C-D-E-O-T. Which of the following gene pair will have least probability of being inherited together?
Given below are two statements.
Statement I - The pituitary gland is situated in sella turcica of palate bone.
Statement II - The pituitary gland is attached to the hypothalamus by a hypophyseal stalk.
In the light of above statements, select the correct option given below:
Which one of the following combination of bacterial strains used by Griffith, when injected to mice will NOT kill them?
Which one of the following is INCORRECT regarding 'resource partitioning'?
Which one of the following is NOT a traditional knowledge passed down through generations?
Match the Column I with Column II with reference to biomagnification of DDT.
| Column (I) (Organism) |
Column (II) (DDT content) |
||
|---|---|---|---|
| i. | Small fishes | a. | 0.04 ppm |
| ii. | Fish eating Birds of Prey | b. | 0.5 ppm |
| iii. | Large fishes | c. | 25 ppm |
| iv. | Zooplankton | d. | 2.ppm |
Which one of the following plant hormones does NOT prevent abscission in plants?
| Column (I) (Parasite) |
\begin{aligned} & \text { Column (II) } \\ & \text { (Host) } \end{aligned} |
||
|---|---|---|---|
| i. | Ticks | a. | Marine fish |
| ii. | Copepods | b. | Dog |
| iii. | Cuscuta | c. | Indian crow |
| iv. | Asian Koel | d. | Hedge plants |
Identify P and Q regions in the diagram of histology of alimentary canal and identify the type of tissue.

Which one of the following is NOT a cyanobacterial biofertilizer?
Chemistry
Which of the following is water gas shift reaction?
Which from following amino acids is synthesized in our body?
The conductivity of 0.1 M KCl solution at $23^{\circ} \mathrm{C}$ is $0.012 \Omega^{-1} \mathrm{~cm}^{-1}$.
Resistance of a cell containing the solution at same temperature was found to be $50 \Omega$. Calculate the cell constant.
$60 \%$ of a first order reaction is completed in 60 minute. What is the time taken by reactant to decompose half of its original amount?
The osmotic pressure of equimolar concentration of $\mathrm{CaCl}_2$ and urea at same temperature are 0.6 atm and 0.25 atm respectively. Calculate van't Hoff factor for $\mathrm{CaCl}_2$.
Which from following is an example of intensive property?
What is EAN of Mn in $\mathrm{Mn}(\mathrm{CO})_5$ ?
Which of the following on reaction with Grignards reagent followed by hydrolysis forms secondary alcohol?
Identify inner transition element from following.
Identify the electrolyte from following so that $\wedge_0$ is not obtained from the graphical variation of $\wedge$ against $\sqrt{\mathrm{C}}$ ?
Identify the quantity of carbohydrate units formed after hydrolysis of n mole lactose.
24 g carbon react with oxygen to produce 88 g carbon dioxide. Find the amount of oxygen used.
Which of the following statements is NOT true about vacancy defect?
Which of the following is the most abundant chalcogens?
What is the number of moles of ' C ' atoms and ' H ' atoms respectively present in n mole molecule represented as follows?

For a certain reaction, $\Delta \mathrm{H}^{\circ}=219 \mathrm{~kJ}$ and $\Delta \mathrm{S}^{\circ}=-21 \mathrm{JK}^{-1}$. Find the value of $\Delta \mathrm{G}^{\circ}$.
Identify product P in following reaction. Acetamide $+4[\mathrm{H}] \xrightarrow{\mathrm{Na}_2-\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}} \mathrm{P}$
What is IUPAC name of glyoxal?
Which from following is a biodegradable polymer?
Identify an aldehyde used in margarine and food for its buttery odour.
Consider the reaction
$$ 3 \mathrm{I}_{(\mathrm{aq})}^{-}+\mathrm{S}_2 \mathrm{O}_{8(\mathrm{aq})}^{--} \longrightarrow \mathrm{I}_{3(\mathrm{aq})}^{-}+2 \mathrm{SO}_{4(\mathrm{aq})}^{2-} $$
rate of formation of $\mathrm{SO}_4^{2-}$ at a particular time is
$$ 2.2 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1} $$
What is the value of $\frac{d}{d t}\left[I_3^{-}\right]$?
Calculate the number of electrons required to reduce completely $0.1 \mathrm{~mol} \mathrm{Al}^{+3}$ ions from aqueous $\mathrm{Al}_2\left(\mathrm{SO}_4\right)_3$ solution.
Which of the following compounds has highest lattice energy?
Identify linear polymer from following.
What is the maximum number of ester linkages in a triglyceride?
Identify the compound from following so that Ostwald's dilution law is NOT applicable to it.
What is the number of alkyl groups attached with N -atom of amines formed when 4 n moles of alkyl halide treated with n mole alc. $\mathrm{NH}_3$ at 373 K ?
Which among the following is vinylic halide?
Which from following is a transition element and also included as post actinoid element?
What is the number of electrons released in conversion of $\mathrm{C}_2 \mathrm{O}_4^{2-}$ to $\mathrm{CO}_2$ ?
Which from following is the strongest haloacetic acid?
Which of the following alkanes does NOT exhibit structural isomerism?
Calculate the volume occupied by a particle in simple cubic unit cell if the total volume of unit cell is $4.0 \times 10^{-23} \mathrm{~cm}^3$.
Which of the following gas has high percentage by volume in air?
The rate law for the reaction, $x \mathrm{~A}+y \mathrm{~B} \longrightarrow \mathrm{mP}+\mathrm{nQ}$, is $\mathrm{r}=\mathrm{k}[\mathrm{A}]^{\mathrm{c}} \times[\mathrm{B}]^{\mathrm{d}}$ What is the overall order of reaction?
Calculate the molal elevation constant of water if boiling point of 0.7 m solution of non volatile solute is 373.5 K .
[Boiling point of water $=373.15 \mathrm{~K}$ ]
Calculate the work done in following reaction.
$$ \begin{aligned} & \mathrm{C}_2 \mathrm{H}_{4(\mathrm{~g})}+\mathrm{HCl}_{(\mathrm{g})} \longrightarrow \mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}_{(\mathrm{g})} \text { at } 27^{\circ} \mathrm{C} . \\ & \left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right) \end{aligned} $$
At 298 K pH of a solution is 13 . What is the number of $\mathrm{H}_3 \mathrm{O}^{+}$ions present in one mL of this solution?
Which of the following compounds has highest boiling point?
Identify the ligands present Pentaamminecarbonatocobalt(III)chloride.
Identify zero-dimensional nanostructure from examples given below.
Which of the following is false regarding adsorption?
What is the molecular formula of following compound?

What is the name of t-butyl alcohol according to carbinol system?
In ionic solid, anions are arranged in ccp array and cations occupy all the octahedral voids. What is the formula of ionic compound? [consider $\mathrm{A}=$ cation; $\mathrm{B}=$ anion]
Which of the following is secondary benzylic alcohol?
Which of the following hydride of chalcogens has lowest bond angle and highest bond length?
What type of solution is the benzoic acid in benzene?
The solubility product of $\mathrm{PbI}_2$ is $2.8 \times 10^{-8}$. Calculate its solubility in $\mathrm{mol} \mathrm{dm}^{-3}$.
Physics
When forward bias is applied to a p-n junction, then the potential barrier and the width of the depletion region respectively.
Four solid spheres each of mass ' $m$ ' and radius ' $r$ ' are arranged as shown in the figure. The moment of inertia of the system about the given axis of rotation $\mathrm{AA}^1$ is

A wave is travelling in the negative x direction having displacement 3 cm along Y direction, wavelength $2 \pi \mathrm{~m}$ and frequency $\left(\frac{1}{2 \pi}\right) \mathrm{Hz}$ is represented as ( $t=$ time)
A straight wire of mass ' M ' and length 2 m is placed in a magnetic field of 2 T which is acting perpendicular to the length of the wire. When a current of 1 A flows through the wire, the wire experiences an upthrust and leviates in a magnetic field. The mass ' $M$ ' of the wire is (acceleration due to gravity $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )
A photon and an electron have equal energy ' $E$ '. The ratio of wavelength of photon to wavelength of electron is proportional to
A passenger is sitting in a train which is moving fast. The engine blows a whistle of frequency ' n '. If the apparent frequency of sound heard by the passenger is $n^1$ then
If the shape of the liquid surface is curved, then the
' n ' polarising sheets are arranged such that each makes an angle $45^{\circ}$ with the proceeding sheet. An unpolarised light of intensity I is incident into this arrangement. The output intensity is I/ 64 . The value of $n$ will be $\left(\cos 45^{\circ}=1 / \sqrt{2}\right)$
An alternating voltage $\mathrm{V}=100 \sqrt{2} \sin (50 \mathrm{t})$ is connected to $2 \mu \mathrm{~F}$ capacitor through a.c. ammeter. The reading of the ammeter is
A gas at $800^{\circ} \mathrm{C}$ is cooled until both its pressure and volume are halved. The final temperature of the gas will be
When the r.m.s. velocity of a gas is denoted by ' V ' and temperature of the gas by T , which of the following relations is TRUE?
An inductor of 0.5 mH , capacitor of $20 \mu \mathrm{~F}$ and resistance of $20 \Omega$ are connected in series with a 220 V a.c. source. If the current is in phase with e.m.f., the maximum current in the circuit is $\sqrt{x} A$. The value of $x$ is
A particle vibrating simple harmonically has an acceleration of $16 \mathrm{~cm} / \mathrm{s}^2$, when it is at a distance of 4 cm from the mean position. Its periodic time is
Two inductors of 88 mH each are joined in parallel. The current passing through this combination is 4 A . The energy stored in this combination of inductors in joule is
In a projectile motion shown in figure, which one of the following statements is NOT CORRECT?

A string of length $L$ is fixed at one end and carries a mass m at the other end. The string makes $\frac{3}{\pi}$ revolutions per second around the vertical axis through the fixed end. The tension in the string is

When three capacitors of capacitances ' C ', ' 2 C '? and ' 3 C ' are connected in series. The potential difference applied across the combination is ' $V$ '. The energy stored in the circuit is
In the spectrum of hydrogen atom the ratio of the longest wavelength in the Balmer series to the longest wavelength in the Lyman series is
A spherical liquid drop of radius R is divided into 64 equal droplets. If surface tension is $T$ then the work done in this process will be
A lens of power +5 D is put in contact with a lens of power -3 D . The combination will behave like a
A glass capillary of radius 0.35 mm is inclined at $60^{\circ}$ with the vertical in water. The length of water column in the capillary tube is (surface tension of water $=7 \times 10^{-2} \mathrm{Nm}^{-1}$, acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2, \cos 0^{\circ}=1$, $\cos 60^{\circ}=0.5$, density of water $=1 \mathrm{gram} / \mathrm{cm}^3$ )
In a given circuit, AB is a uniform potentiometer wire. If the value of resistance ' $R$ ' is slightly increased, the balance point

In common emitter configuration, $\beta, \mathrm{R}_{\mathrm{L}}$ and r are the a.c. current gain, load resistance and the input resistance of a transistor respectively. The voltage and power gain respectively are
A rigid body weighs 25 gram and has a measured volume of $5 \mathrm{~cm}^3$. The possible error in the measurement of mass and volume are 0.01 gram and $0.1 \mathrm{~cm}^3$. The maximum error in the density will be
The average kinetic energy of a molecule of the gas is
The average velocity of a particle performing S.H.M. in one complete vibration is ( $\mathrm{A}=$ amplitude of S.H.M., $\omega=$ angular velocity)
The range of voltmeter of resistance $300 \Omega$ is 5 V . The resistance required to be connected to convert it into an ammeter of range 5 A is nearly
The value of acceleration due to gravity (g) becomes $\left(\frac{g}{3}\right)$ at height ' $h$ ' above the earth's surface. If ' R ' is the radius of earth, the height h will be equal to
A bicycle wheel of diameter ' $D$ ' has ' $N$ ' number of spokes. Wheel is rotating at the rate of ' $x$ ' revolutions per minute, perpendicular to the horizontal component of earth's magnetic field ' $\mathrm{B}_{\mathrm{H}}$ '. The e.m.f. induced between the rim and the centre of the wheel will be
Four thin rods of same mass M and same length L form a square as shown in figure. Moment of inertia of this system about an axis passing through point O and perpendicular to its plane is

Two spherical black bodies of radius $\mathrm{R}_1$ and $\mathrm{R}_2$ with surface temperatures $\mathrm{T}_1$ and $\mathrm{T}_2$ respectively. If $T_1=2 T_2$ and they radiate the same power then relation between $R_1$ and $R_2$ is
A simple pendulum has mass 2 gram and charge $2 \mu \mathrm{C}$. In a uniform horizontal electric field of intensity $1000 \mathrm{~V} / \mathrm{m}$, pendulum is at rest. At equilibrium, the angle made by the pendulum with the vertical is ( $\mathrm{g}=$ acceleration due to gravity $=10 \mathrm{~m} / \mathrm{s}^2$ )
A mass ' $M$ ' is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of periodic time ' $T$ '. If the mass is increased by ' $m$ ', the time period becomes $4 T / 3$, then the ratio of $\frac{\mathrm{M}}{\mathrm{m}}$ is
The energy of a photon is equal to the kinetic energy of proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if E is the energy of photon then $\lambda_2: \lambda_1$ is
In an adiabatic change, the pressure and temperature of a diatomic gas are related as $\mathrm{P} \propto \mathrm{T}^{\mathrm{c}}$, where c is a constant. The value of c is (consider gas molecules are rigid)
If $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A}+\vec{B}|$ is $\left(\tan 60^{\circ}=\sqrt{3}, \cos 60^{\circ}=0.5\right)$
In an interference experiment, the phase difference between the waves reaching a first dark point is
The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment of the coil is $x$ times $\left(2 B / \mu_0\right)$. The value of $x$ is ( $\mu_0=$ permeability of free space)
A capacitor of capacitance ' C ' is connected across a.c. source of voltage V as $\mathrm{V}=\mathrm{V}_0 \sin \omega \mathrm{t}$. The displacement current between the plates of the capacitor would be
The series limit for the frequency of Balmer series is ' $\mathrm{v}_{\mathrm{B}}$ ', then the series limit frequency of Paschen series ' $v_p$ ' is
In Young's double slit experiment, the intensities at two points, for the path difference $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ are $\mathrm{I}_1$ and $\mathrm{I}_2$ respectively. If $\mathrm{I}_0$ denotes the intensity produced by each one of the individual slits then the ratio $\left(\mathrm{I}_1+\mathrm{I}_2\right): \mathrm{I}_0$ is $\left(\cos 45^{\circ}=1 / \sqrt{2}\right)\left(\cos 60^{\circ}=0.5\right)$
A system is compressed adiabatically, then its temperature
A solenoid has core of a material with relative permeability 301 and its winding carries a current of 2 A . The number of turns of the solenoid is 600 per metre. The magnetization of the material is
Two points on a travelling wave having frequency 500 Hz and velocity $300 \mathrm{~m} / \mathrm{s}$ are $30^{\circ}$ out of phase, then the minimum distance between the two points is
The charges are arranged at the four corners of square $A B C D$ of side ' $d$ ' as shown in figure. The work required to put this arrangement together is given by

If current ' i ' is passing through the solenoid of diameter ' $d$ ' having number of turns per unit length ' $n$ ', then the inductance per unit length near the middle of a long solenoid is directly proportional to
Force is applied to a body of mass 2 kg at rest on a frictionless horizontal surface as shown in the force against time $(\mathrm{F}-\mathrm{t})$ graph. The speed of the body after 1 s is

The order of (a) transformer (b) diode rectifier (c) filter (d) voltage regulator in a block diagram of simple rectifier circuit is as
(a) b, d, c, a
(b) a, c, d, b
(c) a, b, c, d
(d) d, c, a, b
A simple harmonic progressive wave is given by $y=A \sin 2 \pi\left(n t-\frac{x}{\lambda}\right)$. If the wave velocity is equal to $=\frac{1}{3}$ (maximum particle velocity) then the wavelength $\lambda$ is given by