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If \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\boldsymbol{2} \) and \( \boldsymbol{y}_{2}=\boldsymbol{A} \boldsymbol{y}^{-3} \) then \( \mathbf{A}= \)
A . -2
B. -
\( c \cdot 0 \)
\( D \)
| 2 |
Maths
|
The number of \( d \) -orbitals involved in
the formation of \( \boldsymbol{P} \boldsymbol{C l}_{5} \)
| 1 |
Chemistry
|
Somewater at \( 0^{0} C \) is placed in a large
insulated vessel. The water vapour formed is pumped out continuously.The fraction of water that will ultimately
freeze is \( \frac{7}{8} . \) If the latent heat of vaporization is \( x \) times the latent heat
of fusion. Find out value of \( x \)
A. 5
B. 6
\( c \cdot 7 \)
D.
| 3 |
Physics
|
Two cars \( P \) and \( Q \) start from a point at the same time in a straight line and their positions are represented by \( \boldsymbol{x}_{\boldsymbol{p}}(\boldsymbol{t})=\boldsymbol{a t}+\boldsymbol{b t}^{2} \) and \( \mathbf{x}_{\mathbf{Q}}(\mathbf{t})=\mathbf{f} \mathbf{t}-\mathbf{t}^{2} \mathbf{A} \mathbf{t} \)
what time do the cars have the same
velocity?
A \( \cdot \frac{a+f}{2(1+b)} \)
B. \( \frac{f-a}{2(1+b)} \)
\( \mathbf{c} \cdot \frac{a-f}{1+b-b} \)
D. \( \frac{a+f}{2(b+1)} \)
| 3 |
Physics
|
Total number of covalent bonds in a
white phosphorous molecule is:
A.
B. 4
\( c \cdot 3 \)
D.
| 1 |
Chemistry
|
If \( A \) be any \( m \times n \) matrix and both \( A B \)
and BA are defined prove that B should
be \( \boldsymbol{m} \times \boldsymbol{n} \) matrix
| 2 |
Maths
|
A steel girder can bear a load of 20 tons. If the thickness of girder is double, then for the same depression it can bear a load of :
A. 40 ton
B. 80 ton
\( c . \) 160 ton
\( D \cdot 5 \) ton
| 3 |
Physics
|
Zeolite used to soften hardness of water
is, hydrated:
A. Potassium aluminium borate
B. Sodium aluminium silicate
c. Calcium aluminium borate
D. zinc aluminium borate
| 1 |
Chemistry
|
Find the values of \( x \), if \( \left|\begin{array}{cc}\boldsymbol{x}+\mathbf{1} & \boldsymbol{x}-\mathbf{1} \\ \boldsymbol{x}-\mathbf{3} & \boldsymbol{x}+\mathbf{2}\end{array}\right|=\left|\begin{array}{cc}\mathbf{4} & \mathbf{- 1} \\ \mathbf{1} & \mathbf{3}\end{array}\right| \)
| 2 |
Maths
|
attometer is \( -\ldots- \) nanometer.
A \( \cdot 10^{-9} \)
B. \( 10^{-8} \)
\( \mathrm{c} \cdot 10^{-7} \)
D. \( 10^{9} \)
| 3 |
Physics
|
The non-zero vectors \( \bar{a}, \bar{b} \) and \( \bar{c} \) are related \( \bar{a}=8 \bar{b} \) and \( \bar{c}=-7 \bar{b} . \) Then the
angle between \( \bar{a} \) and \( \bar{c} \) is -
A . 0
в.
c. \( \frac{\pi}{2} \)
D. \( \pi \)
| 2 |
Maths
|
Function of ear bones is to
A. stabilize the ear
B. maintain the pressure
C. magnify the force of vibration
D. do none of these
| 3 |
Physics
|
A relation \( R \) is defined on the set \( Z \) of
integers as follows: \( \mathrm{R}=(x, y) \in \boldsymbol{R}: x^{2}+ \)
\( y^{2}=25 . \) Express \( R \) and \( R^{-1} \) as the sets
of ordered pairs and hence find their
respective domains
\( \mathbf{A} \cdot \mathbf{0} \)
B. Domain of \( R=\{0,\pm 3\}= \) domain of \( R^{-1} \).
C. Domain of \( R=\{0,\pm 3,\pm 4\}= \) domain of \( R^{-1} \)
D. Domain of \( R=\{0,\pm 3,\pm 4,\pm 5\}= \) domain of \( R^{-1} \)
| 2 |
Maths
|
Determine the domain and range of the relation R defined by \( \boldsymbol{R}=\{(\boldsymbol{x}, \boldsymbol{x}+\mathbf{5}) \)
\( \boldsymbol{x} \in\{\mathbf{0}, \mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}\}\} \)
| 2 |
Maths
|
The correct order of acidity of the alcohols is ?
\( \mathbf{A} \cdot 1^{0}>11^{0}>111^{\mathbf{0}} \)
В. \( 111^{0}>11^{0}>1^{0} \)
C. \( 1^{0}>111^{0}>11^{0} \)
D. \( 11>111>1 \)
| 1 |
Chemistry
|
The compound, which is soluble in
water but does not impede the oxygen
transportation, is
A . NO
в. \( S O_{2} \)
\( c \cdot c o \)
D. \( S O_{3} \)
| 0 |
Biology
|
Explain the following reaction:
(a) Sandmeyer reaction
(b) Wurtz's Fitting reaction
| 1 |
Chemistry
|
The foot of an elephant has an area of
\( 275 c m^{2} . \) If the mass of elephant is 2200
kg, find the pressure exerted by the elephant on the ground. \( \left(g=10 m s^{-2}\right) \) If your answers \( x \) find the value of \( \frac{x}{10^{5}} \)
| 3 |
Physics
|
Centre of autonomic nervous system is located in
A. Hypothalamus
c. Cerebellum
D. Both A and B
| 0 |
Biology
|
The area of the region bounded by the
\( \operatorname{lines} y=2 x+1, y=3 x+1 \) and \( x=4 \)
is
A. 16 sq.unit
в. \( \frac{121}{3} \) sq.unit
c. \( \frac{121}{6} \) sq.unit
D. 8 sq.unit
| 2 |
Maths
|
\( \sin 85^{\circ}-\sin 35^{\circ}-\cos 65^{\circ}= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3
| 2 |
Maths
|
Two plano-concave lenses of glass of refractive index 1.5 have radii of
curvatures \( 20 \mathrm{cm}, 30 \mathrm{cm} . \) They are placed in contact with curved surface towards each other and the space between them is filled with a liquid of
refractive index \( 4 / 3 . \) The focal length of
the system is :
\( \mathbf{A} \cdot 48 \mathrm{cm} \)
в. \( 72 \mathrm{cm} \)
\( \mathbf{c} \cdot 12 c m \)
D. \( 24 c m \)
| 3 |
Physics
|
Show that no triangle has two sides each shorter than its corresponding altitude (from the opposite vertex).
| 2 |
Maths
|
Name the type of lens used to correct
this defect.
| 3 |
Physics
|
Transition state structure of the
substate formed during an enzymatic reaction is
A. Transient but stable
B. Permanent but unstable
c. Transient and unstable
D. Permanent and stable
| 1 |
Chemistry
|
The graph represents the motion of a solider during a training exercise. What is the solider's average velocity during
time interval from 10 to 20 seconds.
A. \( 2.0 \mathrm{m} / \mathrm{s} \)
B. \( 2.0 \mathrm{cm} / \mathrm{s} \)
\( c \cdot 0 m / s \)
D. \( 10 \mathrm{cm} / \mathrm{s} \)
E. \( 10 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
n' moles of an ideal gas undergoes a
process \( A \rightarrow B \) as shown in figure. The
maximum temperature of the gas
during the process will be :
A \( \cdot \frac{9 P_{0} V_{0}}{n R} \)
в. \( \frac{9 P_{0} V_{0}}{4 n R} \)
c. \( \frac{3 P_{0} V_{0}}{2 n R} \)
D. \( \frac{9 P_{0} V_{0}}{2 n R} \)
| 3 |
Physics
|
A segment of DNA contains 1200
nucleotides, of which 200 have adenine
base. How many cytosine bases are present in this segment of DNA?
A . 100
B. 200
\( c \cdot 400 \)
D. 800
| 0 |
Biology
|
In vehicles, catalytic converters are
used
A. To increase mileage of vehicles
B. To convert \( C O_{2} \) into carbonates
C. To increase the efficiency of lead mixed petrol
D. To convert \( C O \) to \( C O_{2} \)
| 0 |
Biology
|
\( \mathrm{n} \triangle \boldsymbol{A B C}, \sum\left(\frac{\sin ^{2} \boldsymbol{A}+\sin \boldsymbol{A}+\mathbf{1}}{\sin \boldsymbol{A}}\right) \) is
always greater than
\( A \cdot 9 \)
B. 3
c. 27
D. None of these
| 2 |
Maths
|
Statement 1: \( M g O \) has a high melting
point. Statement 2: Highly charged ions result in strong ionic forces and high lattice energies.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is NOT the correct explanation of Statement 1.
c. Statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
| 1 |
Chemistry
|
The incidence of occupational disease in an industry is such that the workers have a \( 20 \% \) chance of suffering from it. The probability that out of 6 workers chosen at random, not even one will
suffer from that disease is
\( \mathbf{A} \cdot\left(\frac{1}{5}\right)^{6} \)
B. \( \left(\frac{4}{5}\right)^{6} \)
\( ^{\mathbf{c}} \cdot_{1}^{6} C\left(\frac{1}{5}\right)^{5}\left(\frac{4}{5}\right)^{1} \)
\( ^{\mathrm{D} \cdot}_{1}^{6} C\left(\frac{1}{5}\right)^{1}\left(\frac{4}{5}\right)^{5} \)
| 2 |
Maths
|
Factorize the following expression \( a^{3}+125 \)
A \( \cdot(a+5)\left(a^{2}-5 a+25\right) \)
B . \( (a+5)\left(a^{2}+5 a+25\right) \)
c. \( (a+5)\left(a^{2}-5 a-25\right) \)
D. None of these
| 2 |
Maths
|
The angle between incident ray and
normal is \( 30^{\circ}, \) then the angle of
incidence will be
A \( .60^{\circ} \)
B. \( 30^{\circ} \)
\( c .90^{\circ} \)
D. 150
| 3 |
Physics
|
A thin metal disc of radius \( 25 \mathrm{cm} \) and
mass \( 2 \mathrm{kg} \) starts from rest and rolls
down on an inclined plane. If its
rotational kinetic energy is \( 8 J \) at the foot of the inclined plane, then the linear velocity of centre of mass of disc is :
A. \( 2 \mathrm{m} / \mathrm{s} \)
в. \( 4 \mathrm{m} / \mathrm{s} \)
c. \( 6 m / s \)
D. \( 8 m / s \)
| 3 |
Physics
|
A particle covers \( 10 m \) in first \( 5 s \) and
10 \( m \) in next \( 3 s \). Assuming constant acceleration. Find initial speed,
acceleration and distance covered in
next \( 2 s \)
| 3 |
Physics
|
How many significant figures are in the measurement 8.9900 grams?
A. 3
B. 4
\( c \cdot 5 \)
D.
| 1 |
Chemistry
|
The first successfully cloned mammal that gained world-wide publicity was
A. Molly, a sheep
B. Polly, a sheep
c. chance, a bull
D. Dolly, a sheep
| 0 |
Biology
|
\( \frac{1}{10} \) of a rod is coloured red, \( \frac{1}{20} \) orange \( \frac{1}{30} \) yellow, \( \frac{1}{40} \) green, \( \frac{1}{50} \) blue, \( \frac{1}{60} \) black
and the rest are violet. If the lenght of the violet portion is \( 12.08 \mathrm{m} \), then what
is the lenght of the rod?
A. 16 m
B. 18 m
c. \( 20 \mathrm{m} \)
D. 30
| 2 |
Maths
|
If the two lines \( x+(a-1) y=1 \) and
\( \mathbf{2} \boldsymbol{x}+\boldsymbol{a}^{2} \boldsymbol{y}=\mathbf{1}(\boldsymbol{a} \in \boldsymbol{R}-\{\mathbf{0}, \mathbf{1}\}) \) are
perpendicular, then the distance of their point of intersection from the origin is:
A \( \cdot \frac{2}{5} \)
B. \( \frac{2}{\sqrt{5}} \)
c. \( \frac{\sqrt{2}}{5} \)
D. \( \sqrt{\frac{2}{5}} \)
| 2 |
Maths
|
The plants absorbs air for respiration from
A. Air spaces in the soil
B. Stomata in leaves
c. ovary
D. None of the above
| 0 |
Biology
|
Thermal decomposition of a compound is of first order. If \( 50 \% \) sample of the compound is decomposed in 120
minute, how long will it take for \( 90 \% \) of the compound to decompose?
| 1 |
Chemistry
|
A jar contains 30 mL of glycerine (whose mass is37.8 \( g \) ) and 60 mL of corn syrup (whose mass is \( 82.8 \mathrm{g} \) ). Which liquid is on top? Show your work, and explain your
answer.
A. glycerine
B. syrup
\( c . \) a and \( b \)
D. none of these
| 1 |
Chemistry
|
The r.m.s current in an ac circuit is \( 1 A \)
If the watt less current be \( \sqrt{3} A \), Then
what is the power factor
| 3 |
Physics
|
Two exactly similar wires of steel and copper are stretched by equal forces. If the total elongation is \( 2 \mathrm{cm}, \) then how much is the elongation in steel and
copper wire respectively? Given \( Y_{\text {steel}} \) \( =20 \times 10^{11} \mathrm{dyne} / \mathrm{cm}^{2}, Y_{\text {copper}}=12 \times 10^{11} \)
dyne /cm \( ^{2} \)
A . \( 1.25 \mathrm{cm} ; 0.75 \mathrm{cm} \)
B. 0.75 \( \mathrm{cm} ; 1.25 \mathrm{cm} \)
c. \( 1.15 \mathrm{cm} ; 0.85 \mathrm{cm} \)
D. \( 0.85 \mathrm{cm} ; 1.15 \mathrm{cm} \)
| 3 |
Physics
|
Position of a particle moving along \( \boldsymbol{x}- \) axis is given by \( \boldsymbol{x}=\mathbf{3}(\mathbf{2} \boldsymbol{t}-\mathbf{3})+\mathbf{4}(\mathbf{2} \boldsymbol{t}- \)
3)\( ^{2} \)
Which of the following is correct about
the particle?
A. Initial speed is \( 21 \mathrm{m} / \mathrm{s} \)
B. Initial speed is \( 18 \mathrm{m} / \mathrm{s} \)
c. Initial speed is \( 42 \mathrm{m} / \mathrm{s} \)
D. Acceleration is \( 8 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Why is tartaric acid added into baking soda to get baking powder?
| 1 |
Chemistry
|
If velocity of light \( c, \) Planck's constant \( h \) and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:
A \( \cdot \sqrt{\frac{c h}{G}} \)
в. \( \sqrt{\frac{h G}{c^{5}}} \)
c. \( \sqrt{\frac{h G}{c^{3}}} \)
D. \( \sqrt{\frac{h c^{3}}{G}} \)
| 3 |
Physics
|
Give reason :
Why the organic compound is fused
with sodium metal during detection of
nitrogen, sulphur halogens, etc?
| 1 |
Chemistry
|
According to Newton's third law, for
every action there is:
A. an equal and opposite reaction
B. an equal force pointing in the same direction
c. an unbalanced force
D. a reaction that is twice the magnitude
E . an unequal and unbalanced force
| 3 |
Physics
|
Explain Faradays law of induction with the help of activity.
| 3 |
Physics
|
Which of the following is not a unit of time?
A. hour
B. nano second
c. \( \mu \) second
D. light year
| 3 |
Physics
|
We are familiar with the
semiconductors Silicon and
Germanium.
a) Draw the energy bands of a \( n \) -type semiconductor.
b) The following figure represents a
| 3 |
Physics
|
\( m \) is said to be related to \( n \), if \( m \) and \( n \)
are integers and \( m-n \) is divisible by
13. Does this define an equivalence
relation?
| 2 |
Maths
|
An increase in pressure required to decreases the 100 liters volume of a
liquid by \( 0.004 \% \) in container is:
(Bulk modulus of the liquid \( = \)
\( 2100 M P a) \)
A. \( 188 k P a \)
в. \( 8.4 k P a \)
c. \( 18.8 k P a \)
D. \( 84 k P a \)
| 3 |
Physics
|
Which of the following is a primary alcohol?
A. Butan- 2 - - ०
B. 2 - Methylpropan-1- ol
c. 2 - Methylpropan - 2- ol
D. None of the above
| 1 |
Chemistry
|
How many terms of the series
\( -9,-6,-3, \dots \) must be taken that the
sum may be \( 66 ? \)
| 2 |
Maths
|
Which of the following is a redox
reaction?
\( \mathbf{A} \cdot C a C O_{3} \rightarrow C a O+C O_{2} \)
\( \mathbf{B} \cdot H_{2}+C l_{2} \rightarrow 2 H C l \)
\( \mathbf{c} \cdot C a O+H C l \rightarrow C a C l_{2}+H_{2} O \)
\( \mathbf{D} \cdot N a O H+H C l \rightarrow N a C l+H_{2} O \)
| 1 |
Chemistry
|
The potential energy of an electron in the fifth orbit of hydrogen atom is
A. 0.54 eV
B. -0.54 eV
c. 1.08 eV
D. \( -1.08 \mathrm{eV} \)
| 3 |
Physics
|
The monocotyledonous leaf shows which of the following venation?
A. Pinnate reticulate
B. Parallel
c. Palmate reticulate
D. Pinnate parallel
| 0 |
Biology
|
A child running a temperature of \( 101^{0} F \) is given an antipyrin (i.e. a medicine
that lowers fever ) which causes an
increases in the rate of evaporation of sweat from his body. If the fever is
brought down to \( 98^{\circ} F \) in 20 min, what is the average rate of extra evaporation caused, by the drug. Assume the evaporation mechanism to be the only way by which heat is lost. The mass of
the child is 30 kg. The specific heat of human body is approximately the same as that of water and latent heat of
evaporation of water at that
temperature is about 580 cal \( g^{-1} \)
| 3 |
Physics
|
Assertion
Statement \( -1: H_{2} S O_{4} \) is more viscous
than water.
Reason
Statement \( -2: \ln H_{2} S O_{4}, \) sulphur has
highest oxidation state.
A. Statement - 1 is true, Statement - 2 is true and Statement - 2 is correct explanation for Statement -
1
B. Statement - 1 is true, Statement - 2 is true and Statement - 2 is NOT the correct explanation for Statement - 1.
c. statement -1 is true, statement - 2 is false
D. statement -1 is false, Statement - 2 is true
| 1 |
Chemistry
|
Consider a spring that exerts the following restoring force: \( \boldsymbol{F}=-\boldsymbol{k} \boldsymbol{x} \) for
\( \boldsymbol{x}>0 \) and \( \boldsymbol{F}=-4 \boldsymbol{k} \boldsymbol{x} \) for \( \boldsymbol{x}<\mathbf{0} \)
A mass m on a frictionless surface is
attached to the spring, displaced to \( x=A \) by stretching the spring and then
releasing:
This question has multiple correct options
A \cdot The period of motion will be \( T=\frac{3}{2} \pi \sqrt{\frac{m}{k}} \)
B. The most negative value, the mass \( m \) can reach will be \( x=-\frac{A}{2} \)
c. The time taken to move from \( x=A \) to \( x=-\frac{A}{\sqrt{2}} \) straight away will be equal to \( \frac{5 \pi}{8} \sqrt{\frac{m}{k}} \)
D. The total energy of oscillations will be \( \frac{5}{2} k A^{2} \)
| 3 |
Physics
|
In a series combination of \( \mathrm{R}, \mathrm{L} \) and \( \mathrm{C} \) to an
AC source at resonance, if \( \mathrm{R}=20 \Omega \), then impedance \( Z \) of the combination is
A . \( 20 \Omega \)
B. zero \( \Omega \)
\( c \cdot 1 \Omega \)
D. 400 \( \Omega \)
| 3 |
Physics
|
If \( z_{1} \) and \( z_{2} \) two non-zero complex
number such that \( \left|z_{1}+z_{2}\right|=\left|z_{1}\right|+\left|z_{2}\right| \)
then \( \arg z_{1}-\arg z_{2} \) is equal to
\( A \cdot-p \)
В. \( p / 2 \)
c. \( -p / 2 \)
\( D \)
| 2 |
Maths
|
A focus of an ellipse is at the origin. The directrix is the line \( \mathbf{x}=\mathbf{4} \) and the eccentricity is \( \frac{1}{2} . \) Then the length of the semi major axis is
A \( \cdot \frac{5}{3} \)
B. \( \frac{8}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{4}{3} \)
| 2 |
Maths
|
Let \( F \) be the set of all human beings in town in a particular time. Then check whether the relation is as equivalence
relation
\( \boldsymbol{R}=\{(\boldsymbol{x}, \boldsymbol{y}): \boldsymbol{x} \text { is mother of } \boldsymbol{y}\} \)
| 2 |
Maths
|
A body projected vertically upwards
with a velocity u return to the starting point in 4 second \( . \) If \( g=10 m^{-2} \) the
value of \( u \) is \( \$ \$(m \mid s) \$ \$:- \)
A. 5
B. 20
\( c \cdot 40 \)
D. 10
| 3 |
Physics
|
A couple produces:
A. no motion
B. linear and rotational motion
C . purely rotational motion
D. purely linear motion
| 3 |
Physics
|
The value of \( 144^{\circ} \) in circular measure is
A \( \cdot \frac{3 \pi^{c}}{4} \)
B. \( \frac{2 \pi^{c}}{3} \)
c. \( \frac{4 \pi^{c}}{5} \)
D. \( \frac{5 \pi^{c}}{6} \)
| 2 |
Maths
|
The \( _{-}-_{-}-_{-}-_{-}- \) process is used in
the extraction of copper and lead.
| 1 |
Chemistry
|
Which of the following statement is
incorrect?
A. Inductive effect is distance dependent and decreases drastically on increase in distance.
B. In resonating structures, the position of nuclei remains same.
C. Except major contributor, no single resonating structure can describe all the properties of a real hybrid.
D. shows inductive effect, mesomeric effect, resonance and hyperconjugation.
| 1 |
Chemistry
|
Find the area of the shaded region in fig, where is circular arc of radius \( 6 \mathrm{cm} \) has
been drawn with vertex \( O \) of an
equilateral triangle \( \boldsymbol{O} \boldsymbol{A} \boldsymbol{B} \) of side \( \mathbf{1 2} \boldsymbol{c m} \)
as centre
| 2 |
Maths
|
Which material is used for making:
(i) Saucepan handles
(ii) Electric plugs/switches/plugboards
A. Bakelite
B. PVC
c. Polythene
D. Polyester
| 1 |
Chemistry
|
A sum of an infinite sequence it is
called a
A. term
B. constant
c. series
D. sequence
| 2 |
Maths
|
Stars twinkle but planets do not twinkle
because
A. Stars emit their own light but planets receive light from the stars
B. Stars do not from a part of solar system
C. Stars from a point source of light while planets are considered as a collection of a large number of point sources of light
D. During refraction of star light from the atmosphere, star light bends more towards the normal as compared to the planets
| 3 |
Physics
|
The area of the figure bounded by the \( \operatorname{lines} x=0, x=\frac{\pi}{2}, f(x)=\sin x \) and
\( g(x)=\cos x \) is
A \( \cdot 2(\sqrt{2}-1) \)
B. \( \sqrt{3}-1 \)
c. \( 2(\sqrt{3}-1) \)
D \( \cdot 2(\sqrt{2}+1) \)
| 2 |
Maths
|
Which of the following elements are metals?
This question has multiple correct options
A. Calcium
B. Chlorine
c. Potassium
D. Sulphur
| 1 |
Chemistry
|
Freshly precipitated \( A l \) and \( M g \) hydroxides are stirred vigorously in a buffer solution containing \( 0.25 M \) of \( N H_{4} C l \) and \( 0.05 M \) of \( N H_{4} O H .\left[A l^{3+}\right] \)
and \( \left[M g^{2+}\right] \) in solution are:
Given:
\( \boldsymbol{K}_{b} \) for \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H}=\mathbf{1} . \boldsymbol{8} \times \mathbf{1 0}^{-\mathbf{5}} \)
\( \boldsymbol{K}_{s p_{A(O H)_{3}}}=\boldsymbol{6} \times \mathbf{1 0}^{-\mathbf{3 2}} \)
\( \boldsymbol{K}_{s p_{M g(O H)_{2}}}=\mathbf{8 . 9} \times \mathbf{1 0}^{-12} \)
A. \( 0.656 M \)
A
в. 0.686 М
\( c .0 .698 M \)
D. none of these
| 1 |
Chemistry
|
Calculate the values of the
determinants:
\( \left|\begin{array}{cccc}\mathbf{0} & \boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\ -\boldsymbol{x} & \boldsymbol{0} & \boldsymbol{c} & \boldsymbol{b} \\ -\boldsymbol{y} & -\boldsymbol{c} & \boldsymbol{0} & \boldsymbol{a} \\ -\boldsymbol{z} & -\boldsymbol{b} & -\boldsymbol{a} & \boldsymbol{0}\end{array}\right| \)
| 2 |
Maths
|
Find the coordinates of the focus,
equation of the directrix and the latus
rectum of
\( 2 x^{2}+3 y=0 \)
| 2 |
Maths
|
What is photoelectric effect? Explain the effect of increase
(i) frequency (ii) intensity of incident radiation on photoelectric current with suitable graphs.
| 3 |
Physics
|
Part of the gynoecium which receives the pollen is called as
A. Ovary
B. Ovule
c. style
D. stigma
| 0 |
Biology
|
Assertion
Snow is better insulator than ice.
Reason
Snow contain air packet and air is good
insulator of heat.
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
| 3 |
Physics
|
Discharge of industrial waste into the
soil causes
A. soil pollution
B. air pollution
c. water pollution
D. all of above
| 1 |
Chemistry
|
The total pressure when this drop formed in torr is
| 1 |
Chemistry
|
For a real gas (mol. mass \( =30 \) ) if
density at critical point is \( 0.40 \mathrm{g} . \mathrm{cm}^{3} \) and its \( T_{c}=\frac{2 \times 10^{5}}{821} K, \) then calcium
Vander Waal's constant \( a \) (in atm
\( \left.\boldsymbol{L}^{2} \boldsymbol{m} \boldsymbol{o l}^{-2}\right) \)
| 1 |
Chemistry
|
What is Photosynthesis process? Write any two affective factors and explain
their effects.
| 0 |
Biology
|
The acceleration (a) of SHM at mean
position is :
A. zero
B. \( \propto x \)
\( c \cdot \propto x^{2} \)
D. None of these
| 3 |
Physics
|
Draw the square ABCD of area 9 square
centimetres.
| 2 |
Maths
|
The number of bonds between sulphur and oxygen atoms in \( \mathrm{S}_{2} \mathrm{O}_{8}^{2-} \) and the
number of bonds between sulphur and sulphur atoms in rhombic sulphur, respectively are :
A. 8 and 6
B. 8 and 8
\( c \cdot 4 \) and 8
D. 4 and 6
| 1 |
Chemistry
|
Evaluate the following \( \lim _{n \rightarrow \infty}\left\{\left(1+\frac{1}{n^{2}}\right)\left(1+\frac{2^{2}}{n^{2}}\right) \dots(1+\right. \)
\( \left.\left.\frac{n^{2}}{n^{2}}\right)\right\}^{1 / n} \)
B \( \cdot 2 e^{(\pi-4) / 2} \)
\( ^{c} \cdot \frac{e^{(\pi-4) / 2}}{2} \)
\( \mathbf{D} \cdot e^{(\pi-4)} \)
| 2 |
Maths
|
This is an example of:
Plane
MIrror
A. refraction
B. total internal reflection
c. lateral inversion
D. all of the above
| 3 |
Physics
|
The compounds which have peroxo
linkage is/are
This question has multiple correct options
A \( \cdot H_{2} S_{2} O_{3} \)
в. \( H_{2} S O_{5} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{7} \)
D. \( H_{2} S_{2} O_{8} \)
| 1 |
Chemistry
|
Recognition of ethylene as a natural
plant hormone was done by
A. Pratt-Goeschi
B. Richmond-Lang
c. Darwin
D. Haberlandt
| 0 |
Biology
|
A conducting bar with mass \( \mathrm{m} \) and
length L slides over horizontal rails that
are connected to a voltage source. The
voltage source maintains a constant
current I in the rails and bar, and a
constant, uniform, vertical magnetic field \( \vec{B} \) fills the region between the rails (as shown in fig). Find the magnitude and direction of the net force on the
conducting bar. Ignore friction, air resistance and electrical resistance :
A. ILB, to the right
B. ILB, to the left
c. \( 21 L \) B, to the right
D. 2ILB, to the left
| 3 |
Physics
|
Two fixed charges \( -2 Q \) and \( +Q \) are located at points \( (-3 a, 0) \) and \( (+3 a, 0) \) respectively, Then which of the following statement is correct?
A. Points where the electric potential due to the two charges is zero in \( x \) -y plane, lie on a circle of radius 42 and centre (5a, 0)
B. Potential is zero at \( x=a \) and \( x=9 a \)
c. Both (a) and
(b) are wrong
D. Both (a) and (b) are correct
| 3 |
Physics
|
What is the geometrical interpretation of infinity for gravitational field and gravitational potential?
| 3 |
Physics
|
Assertion: Receptor proteins show
selectivity for one chemical messenger
Over the other
Reason: Chemical messenger binds to the receptor site and inhibits is natural
function
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Both Assertion and Reason are incorrect
D. Assertion is correct but Reason is incorrect
E. Assertion is incorrect but Reason is correct
F. Answer required
| 1 |
Chemistry
|
The following diseases are related to smoking except:
A . emphysema
B. measles
C. high blood pressure
D. cancer of the lungs
| 1 |
Chemistry
|
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