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Define quality factor of resonance in
series LCR circuit.
| 3 |
Physics
|
Find that point on y axis which as
equidistant from point (6,5) and (-4,3)
| 2 |
Maths
|
Difference between homopolymer and co-polymer.
| 1 |
Chemistry
|
A ball has the dimensions \( 10 m \times \)
\( 12 m \times 14 m . A \) fly starting at one corner
ends up of a diametrically opposite corner. What is the magnitude of its displacement.
A . \( 17 \mathrm{m} \)
B. 26 m
c. \( 36 \mathrm{m} \)
D. 21
| 3 |
Physics
|
An infinite number of electric charges each equal to 2 nano coulombs in
magnitude are placed along \( x \) -axis at \( x=1 \mathrm{cm}, x=3, \quad x=9 \mathrm{cm}, x=27 \mathrm{cm} \)
and so on. In these setup if the consecutive charges have oppsoite \( \operatorname{sign}, \) then the electric potential at \( x=0 \) will be?
| 3 |
Physics
|
Based on the first law of
thermodynamics, which one of the following is correct?
A. For an isochoric process, \( \mathrm{E}=-\mathrm{C} \)
B. For an adiabatic process, E = -Q
c. For an isothermal process, \( \mathrm{E}=-\mathrm{Q} \)
D. For an cyclic process, \( \mathrm{W}=-\mathrm{Q} \)
| 1 |
Chemistry
|
The correct statement is (are):
Consider the reaction sequence below
This question has multiple correct options
A. The major product \( Y \) is 1 -methylcyclohexane
B. \( x \) is a racemic mixture
C. \( x \) is a single pure enantiomer
D. Y is 2-methylcyclohexane
| 1 |
Chemistry
|
Do the planets twinkle like stars? (Yes)
No)
| 3 |
Physics
|
If phase Difference between \( \mathrm{E} \) and 1 is \( \frac{\pi}{4} \) and \( f=50 \mathrm{Hz} \) then calculate time
difference.
| 3 |
Physics
|
Find the degree of the given algebraic
expression
\( 2 y^{2} z+9 y z-7 z-11 x^{2} y^{2} \)
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D.
| 2 |
Maths
|
The elements with atomic numbers 9
17,35,53 and 85 belong to noble gases columnz
A. True
B. False
| 1 |
Chemistry
|
A line segment DE is drawn parallel to base BC of \( \Delta A B C \) which cuts AB at
point \( \mathrm{D} \) and \( \mathrm{AC} \) at point \( \mathrm{E} \). If \( \mathrm{AB}=5 \mathrm{BD} \) and \( \mathrm{EC}=3.2 \mathrm{cm} . \) Find the length of AE.
A . \( 12.8 \mathrm{cm} \)
в. \( 1.28 \mathrm{cm} \)
c. \( 2.8 \mathrm{cm} \)
D. 12.6 \( \mathrm{cm} \)
| 2 |
Maths
|
When disc B is brought in contact with
disc \( A, \) they acquire a common angular velocity in time t. The average frictional torque on one disc by the other during this period is:
A \( \cdot \frac{2 I \omega}{3 t} \)
B. \( \frac{9 \text { I }}{\text { ? }} \)
c. \( \frac{9 \mathrm{Ic}}{4 \mathrm{t}} \)
\( D \cdot \frac{31}{2 t} \)
| 3 |
Physics
|
For the synthesis of benzoic acid, the only correct combination is:
A. (1) (iv) (Q)
B. (III) (iv) (R)
c. (IV) (ii) (P)
D. (II) (i) (S)
| 1 |
Chemistry
|
\( x^{2}+6 x+9=0 \)
\( x=? \)
| 2 |
Maths
|
\( 19.5 g \) of \( C H_{2} F C O O H \) is dissolved in \( \mathbf{5 0 0} g \) of water. The depression in the freezing point of water observed is
\( 1.00^{0} C . \) Calculate the van't Hoff factor
and dissociation constant of
fluoroacetic acid.
| 1 |
Chemistry
|
Define relative premittivity. Write its
unit.
| 3 |
Physics
|
The correct statements among the
following is:
A. fly ash is generated by steel industry
B. green chemistry is concerned about minimum pollution
C . green fuel is that obtained from plastic wastes
D. All of the above
| 1 |
Chemistry
|
Evaluate \( \int_{1}^{2} \frac{-1}{x^{2}} d x \)
| 2 |
Maths
|
If the bandgap between valence band
and conduction band in a material is
0 \( e V \), then the material is
A. Semiconductor
B. Good conductor
c. superconductor
D. Insulator
| 3 |
Physics
|
The frequency of oscillation of current in
the inductor is
\( \frac{1}{3 \sqrt{L C}} \)
3. \( \frac{1}{6 \pi \sqrt{L C}} \)
c. \( \frac{1}{\sqrt{L C}} \)
D. \( \frac{1}{2 \pi \sqrt{L C}} \)
| 3 |
Physics
|
In which of the following bond angle is maximum?
A \( . N H_{3} \)
B. \( N H_{4}^{+} \)
c. \( P C l_{3} \)
D. \( S C l_{2} \)
| 1 |
Chemistry
|
A number \( x \) is selected at random from
the numbers 1,4,9,16 and another
number \( y \) is selected at random from
the number \( 1,2,3,4 . \) Find the
probability that the value of \( x y \) is more
than 16
| 2 |
Maths
|
How many students watched TV for less
than 4 hours?
\( A, 34 \)
В. 32
\( c, 24 \)
\( D, 30 \)
| 2 |
Maths
|
In the figure shown, the springs are
connected to the rod at one end and at
the midpoint. The rod is hinged at its
lower end. Rotational SHM of the rod
(Mass \( \boldsymbol{m} \), length \( \boldsymbol{L} \) ) will occur only if
\( \mathbf{A} \cdot k>m g / 3 L \)
В. \( k>2 m g / 3 L \)
c. \( k>2 m g / 5 L \)
D. \( k>0 \)
| 3 |
Physics
|
Given a balanced chemical equation for
each of the following:
Catalytic oxidation of Ammonia.
| 1 |
Chemistry
|
Solve: \( 3 \tan ^{-1} x+\cot ^{-1} x=\pi \)
| 2 |
Maths
|
Polarization may be called the distortion of the shape of an anion by an
adjacently placed cation. Which of the following statements is/are incorrect? This question has multiple correct options
A. Minimum polarization is brought about by a cation of low radius
B. A large cation is likely to bring about a large degree of polarization.
c. Maximum polarization is brought about by a cation of high charge.
D. A small anion is likely to undergo a large degree of polarization.
| 1 |
Chemistry
|
Solve \( 9 x-4 y=8 \& 13 x+7 y=10 \)
A. \( x=7, y=3 \)
в. \( x=9, y=3 \)
c. \( x=1, y=3 \)
D. \( x=4, y=7 \)
| 2 |
Maths
|
Let \( f(x)=\left(a-x^{n}\right)^{\frac{1}{n}}, a>0 \) and \( n \) is positive integer, then prove that \( \boldsymbol{f}[\boldsymbol{f}(\boldsymbol{x})]=\boldsymbol{x} \)
| 2 |
Maths
|
\( \Delta G^{o} \) at \( 25^{\circ} C \) for the reaction
\( \frac{1}{2} N_{2}(g)+\frac{3}{2} H_{2} \rightleftharpoons N H_{3}(g) \) is
\( -16.5 k J \) mol \( ^{-1} . \) Hence
thermodynamic equilibrium constant is:
A . 1.08
B. \( 7.80 \times 10^{2} \)
C \( .4 .57 \times 10^{6} \)
D. \( 7.98 \times 10^{34} \)
| 1 |
Chemistry
|
\( \lim _{x \rightarrow 0} \frac{x^{4}\left(\cot ^{4} x-\cot ^{2} x+1\right)}{\left(\tan ^{4} x-\tan ^{2} x+1\right)} \) is equal to
A . 1
B.
\( c \cdot 2 \)
D. None of these
| 2 |
Maths
|
Statement- - I: The addition of ammonia
derivatives on carbonyl compound is carried in weakly acidic medium. Statement- II : In weakly acidic medium attacking nuclephile is also protonated.
A. Both the statements are true and statement-ll is the correct explanation of statement-I.
B. Both statements are true but statement-ll is not the correct explanation of statement-I.
c. statement-l is true but statement-ll is false
D. Statement-I is false but statement-II is true.
| 1 |
Chemistry
|
The hybridization and geometry of
Br \( F_{3} \) molecules are:
A \( \cdot s p^{3} d \) and \( T \) -shaped
B \( \cdot s p^{3} d^{2} \) and tetragonal
\( \mathrm{c} \cdot s p^{3} d \) and bent
D. none of these
| 1 |
Chemistry
|
Evaluate \( : l t_{x \rightarrow 0} x \operatorname{cosec} x \)
| 2 |
Maths
|
A bar Magnet of Magnetic Moment 3.0 amp.m \( ^{2} \) is placed in a uniform Magnetic
induction field \( 2 \times 10^{-5} \) T. If each pole of
the magnet experience a force of \( 6 \times 10^{-4} \)
N, the length of the magnet is
\( A \cdot 05 \mathrm{m} \)
B. \( 0.3 \mathrm{m} \)
c. \( 0.2 \mathrm{m} \)
D. \( 0.1 \mathrm{m} \)
| 3 |
Physics
|
State the difference between the
structural gene in a transcription unit
of prokaryotes and eukaryotes.
| 0 |
Biology
|
Assertion
Let \( f \) be a real valued function satisfying \( \boldsymbol{f}\left(\frac{\boldsymbol{x}}{\boldsymbol{y}}\right)=\boldsymbol{f}(\boldsymbol{x})-\boldsymbol{f}(\boldsymbol{y}) \) and
\( \lim _{x \rightarrow 0} \frac{f(1+x)}{x}=3 . \) Then the area
bounded by the curve \( y=f(x), \) the \( y- \)
axis and the line \( y=3 \) is \( 3 e . \) sq.unit.
Reason
The function \( f(x) \) is concave down.
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. Both Assertion and Reason are incorrect
| 2 |
Maths
|
Find the area of a sector with an arc
length of \( 20 c m \) and a radius of \( 6 \mathrm{cm} \)
\( \mathbf{A} \cdot 20 \mathrm{cm}^{2} \)
B. \( 40 \mathrm{cm}^{2} \)
\( c \cdot 60 c m^{2} \)
D. \( 80 \mathrm{cm}^{2} \)
| 2 |
Maths
|
Moment about the point \( \vec{i}+2 \vec{j}-\vec{k} \) of a force represented by \( \vec{i}+2 \vec{j}+\vec{k} \) acting through the point \( 2 i+3 j+k \) is
\( \mathbf{A} \cdot 3 \vec{i}+\vec{j}-\vec{k} \)
B. \( 3 \vec{i}-\vec{j}+\vec{k} \)
c. \( -3 \vec{i}+\vec{j}+\vec{k} \)
D. \( 3 \vec{i}+\vec{j}+\vec{k} \)
| 3 |
Physics
|
A curve \( y=f(x) \) which passes through
(4, 0) satisfies the differential equation \( x d y+2 y d x=x(x-3) d x . \) The area
bounded by \( \boldsymbol{y}=\boldsymbol{f}(\boldsymbol{x}) \) and line \( \boldsymbol{y}=\boldsymbol{x} \) (in
square unit) is
A . 32
B. \( \frac{64}{3} \)
c. \( \frac{128}{3} \)
D. 64
| 2 |
Maths
|
Correct order of rate of \( E A S \)
(electrophilic aromatic substitution) is:
А \( . c>b>a>d \)
В . \( c>d>a>b \)
\( c \cdot a>b>c>d \)
| 1 |
Chemistry
|
is the key to increase the number of cells in a living being.
A. Metabolism
B. Growth
c. Cell division
D. Reproduction
| 0 |
Biology
|
Evaluate the following question:
\( \lim _{x \rightarrow 0} x^{2}-3 \)
| 2 |
Maths
|
Lattice energy depends on:
A. only radius of cation
B. only radius of anion
C. cation to anion radius ratio
D. sum of the radii of cation and anion
| 1 |
Chemistry
|
A family has five girls and no son. Probability of son as the 6th child will
be
A. 50\%
B. 75\%
c. Full
D. No chance
| 0 |
Biology
|
Out of 100 bicycles, 10 bicycles have puncture. What is the probability of not having any punctured bicycle in a
sample of 5 bicycles?
A \( \cdot \frac{1}{2^{9}} \)
B. \( \left(\frac{9}{10}\right)^{5} \)
c. \( \frac{1}{10^{5}} \)
D. \( \frac{1}{2^{5}} \)
| 2 |
Maths
|
Among \( K, M g, A u \) and \( C u, \) the one which is extracted by heating its ore in air is:
A. \( K \)
в. \( M g \)
c. \( A u \)
D. \( C u \)
| 1 |
Chemistry
|
Solve for differntial equation:
\( \left(x^{3}-x\right) \frac{d y}{d x}-\left(3 x^{2}-1\right) y=x^{5}- \)
\( 2 x^{3}+x \)
A \( \cdot y \frac{1}{x\left(x^{2}+1\right)}=\log x+c \)
в. \( y \cdot \frac{1}{x\left(x^{2}-1\right)}=-\log x+c \)
c. \( y \frac{1}{x\left(x^{2}-1\right)}=\log x+c \)
D. None of these.
| 2 |
Maths
|
If \( a=2 \hat{i}-\hat{j}-m \hat{k} \) and \( b=\frac{4}{7} \hat{i}-\frac{2}{7} \hat{j}+ \)
\( 2 \hat{k} \) are collinear, then the value of \( m \) is
equal to
A . -7
в. - -
\( c \cdot 2 \)
D.
E. -2
| 2 |
Maths
|
Which of the following has negative charge and is present in atom as pairs with opposite spin?
A. Proton
B. Neutron
c. Electron
D. Isotope
E. Ion
| 1 |
Chemistry
|
Ester linkages occur in
A. Nucleic acids
B. Nucleus
c. Carbohydrates
D. Proteins
| 0 |
Biology
|
If statements \( p, q, r \) have truth values \( T \)
\( F, T \) respectively then which of the following statement is true
A \( \cdot(p \rightarrow q) \wedge r \)
в. \( (p \rightarrow q) \vee \sim r \)
C \( .(p \wedge q) \vee(q \wedge r) \)
D. \( (p \rightarrow q) \rightarrow r \)
| 2 |
Maths
|
Compute the age specific death rate for the following data:
Number of
deaths \( \begin{array}{ll}\text { Age } & \text { Population (in } \\ \text { Group } & \text { thousands) } \\ \text { (years) } & \text { thousands) }\end{array} \)
5 Below
5 360
\( _{5}-30 \) na
\begin{tabular}{l|l}
Above & \\
30 & 10
\end{tabular} 280
| 2 |
Maths
|
The energy required to transfer an electron from second Bohr's orbit to
third Bohr's orbit in a hydrogen-
like atom with nuclear charge \( Z_{e} \) is
\( 68 . e V . \) The value of \( Z \) will be.
\( A \cdot 3 \)
B. 4
\( c .5 \)
D. 6
| 3 |
Physics
|
Find the equation of tangent at (3,4) for the circle \( x^{2}+y^{2}=25 \)
A. \( 3 x+4 y=25 \)
в. \( 3 x-4 y=25 \)
c. \( 3 x+4 y+25=0 \)
D. \( 4 x-3 y=25 \)
| 2 |
Maths
|
Mass number is silghtly less than the actual atomic mass. Give reasons.
| 1 |
Chemistry
|
Assertion
Nitroalkanes and alkyl nitrites exhibit functional isomerism.
Reason
Compounds having same molecular formula but different functional group
are called functional isomers.
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. Both Assertion and Reason are incorrect
| 1 |
Chemistry
|
Heating of rubber with sulphur is called
A. Vulcanisation
B. Galvanisation
c. sulphonation
D. Bessemerisation
| 1 |
Chemistry
|
State Bohr's Model.
| 3 |
Physics
|
One hundred identical coins, each with
probability \( p \) of showing heads are
tossed once. If \( 0<p<1 \) and the
probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, the value of \( p \) is
A \( \cdot 1 / 2 \)
B. \( 51 / 101 \)
c. \( 49 / 101 \)
D. 3 / 101
| 2 |
Maths
|
You are told that 1331 is a perfect cube
Can you guess without factorisation what is its cube root? Similarly, guess the cube root of 4913,12167,32768
| 2 |
Maths
|
At a given place on the earth's surface, the horizontal component of earth's
magnetic field is \( 3 \times 10^{-6} T \) and
resultant magnetic field is \( 6 \times 10^{-6} T \)
Angle of dip at this place is :
A . \( 30^{\circ} \)
B . \( 40^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 60^{\circ} \)
| 3 |
Physics
|
I wo lathtical roas one and two each on
mass M and length L are performing
general plane motion on the horizontal
plane as shown in the figure if \( V \) is
velocity of center of mass of both the
rods and \( \omega \) is the angular speed about
the certical axis then angular momentum of rod 1 in the frame of
reference of center of mass of rod 2 at
the given instant will be
\( ^{\mathbf{A}} \cdot\left(M v \frac{3 L}{2}+\frac{M L^{2}}{12} \omega\right)(-k) \)
B \( \cdot\left(M v \frac{3 L}{2}\right)(-k) \)
\( ^{\mathbf{C}} \cdot\left(\frac{M L^{2}}{12} \omega\right)(-K) \)
D \( \cdot\left(M v \frac{3 L}{4}\right)(-k) \)
| 3 |
Physics
|
is a mixture of loamy and yellow soils.
A. Red soil
B. Black soil
c. Alluvial soil
D. None of the above
| 0 |
Biology
|
Which selection is a polar molecular substance with a weak dipole-dipole interaction?
A. \( B a C l_{2} \)
в. \( C H_{3} C l \)
c. \( B I_{3} \)
D. \( H_{2} O \)
| 1 |
Chemistry
|
When acetone and chloroform are
mixed together, which of the following
observations is correct?
\( (\mathbf{A}) \)
A. A-A and B-B interactions are stronger than A-B interactions
B. A-A and B-B interactions are weaker than A-B
interactions
C. A-A and B-B interactions are equal
D. The liquid form separate layers and are immiscible
| 1 |
Chemistry
|
Write (i) \( -1-i \) (ii) \( 1-i \) in polar form.
| 2 |
Maths
|
In a polygon, no three diagonals are concurrent. If the total number of points of intersection of diagonals interior to
the polygon is 70 then the number of diagonals of the polygon is
| 2 |
Maths
|
Find the zero of the polynomial given below:
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{9} \boldsymbol{x}-\boldsymbol{3} \)
A \( \cdot \frac{6}{7} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{3} \)
D. \( \frac{7}{3} \)
| 2 |
Maths
|
Which of the following motions is different from the rest?
A. a ball thrown horizontally in air
B. a bomb released from a flying aeroplane
c. a javelin thrown by an athlete
D. a bird flying in the air
| 3 |
Physics
|
The phenomenon of dispersion proves
that:
A. white light is made up of seven constituent colours
B. Iight moves in a straight line
C. light passes through a transparent medium
D. light does not pass through an opaque medium and absence of light causes shadow
| 3 |
Physics
|
Find out the following in the electric
circuit given in Figure.
Difference in reading of ammeter \( \boldsymbol{A}_{\mathbf{1}} \)
and \( A_{2}(\text { if any }) \)
| 3 |
Physics
|
Match the List-I with List-II and select
the correct answer using the codes
given below the lists.
List
List II
A. Coagulation \( \quad \) 1. Scattering
B. Lyophilization 2. Washing of precipitates
C. Peptization
3. Purification of colloids
D. Tyndall effect \( \quad \) 4. Electrolyte
A. A- \( 4 ; \) B-3; C-2; D-1
B. A-2; B-1; C-3; D-4
c. \( A-3 ; B-1 ; C-2 ; D-4 \)
D. A-4; B-3; C-1; D-2
| 1 |
Chemistry
|
An \( \alpha \) -particle of charge \( 2 e \) is projected with high speed towards two protons (each of charge \( e \) ) kept at a distance
\( 4 m \) apart, along a perpendicular passing through the mid-point of the line joining the protons. Initially, \( \alpha \) particle starts very far away from the protons. The change In potential energy of the system, when the \( \alpha \) -particle undergoes the greatest repulsion, in terms of \( \frac{\mathbf{e}^{2}}{\pi \epsilon_{0}} \) will be:
A \( \cdot \frac{1}{\sqrt{3}} \)
B. \( \sqrt{2} \)
c. \( \frac{1}{\sqrt{6}} \)
D. \( \sqrt{3} \)
| 3 |
Physics
|
\( 10 \mathrm{mL} \) of a gaseous hydrocarbon is exploded with 100 mL of oxygen. The residual gas on cooling is found to
measure \( 95 \mathrm{mL} \) of which \( 20 \mathrm{mL} \) is
absorbed by caustic soda and the remainder by alkaline pyrogallol. The
formula of the hydrocarbon is :
A \( . C H_{4} \)
в. \( C_{2} H_{6} \)
\( \mathbf{c} \cdot C_{2} H_{4} \)
D. \( C_{2} H_{2} \)
| 1 |
Chemistry
|
In the given figure, diameter of
lens equals
\( A \cdot F O \)
B. 2FO
\( c \cdot 3 F O \)
D. \( 4 \mathrm{FO} \)
| 3 |
Physics
|
\( P H_{3} \) and \( N H_{3} \) on separate reaction with bleaching powder produce respectively
A. P and \( N_{2} \)
B. \( P C l_{3} \) and \( N C l_{3} \)
c. \( P C l_{3} \) and \( N_{2} \)
D. \( P C l_{5} \) and \( N C l_{3} \)
| 1 |
Chemistry
|
Write the IUPAC name of following
compound
| 1 |
Chemistry
|
Write \( \frac{\mathbf{3}}{\mathbf{2 0}} \) as percentage.
| 2 |
Maths
|
An aquatic quadrifoliate pteridophyte is
A. Isoetes
B. Marsilea
c. Equisetum
D. ophioglossum
| 0 |
Biology
|
Write the reaction for the conversion of
1-hexanol \( \rightarrow 1 \) - heptanamine
| 1 |
Chemistry
|
A conducting rod of length \( 2 \mathrm{m} \) is placed on a horizontal table in north-south
direction. It carries a current of 5 A from
south to north. Find the direction and
magnitude of the magnetic force acting on the rod. Given that the Earth's
magnetic field at the place is \( 0.6 \times \) \( 10^{-4} T \) and angle of dip is \( \frac{\pi}{6} \)
| 3 |
Physics
|
\( \operatorname{Let} f(x)=\left\{\begin{array}{l}\frac{\sin [x]}{[x]} ;[x] \neq 0 \\ 0 ;[x]=0\end{array}, \) then \right.
\( \lim _{x \rightarrow 0} f(x)= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \sin 1 \)
\( c \cdot 2 \)
D. does not exist
| 2 |
Maths
|
State whether the given statement is True or False:
\( 3+\sqrt{2} \) is an irrational number.
A . True
B. False
| 2 |
Maths
|
Q Type your question
work up gives:
\( A \)
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
If we keep pop corn in a pressure cooker
on a flame, heat is transferred from
flame to corn by :
A. Conduction
B. Radiation
c. convection
D. None
| 3 |
Physics
|
dentify the operation performed by the
circuit given below:
A . NOT
B. AND
\( c . \) ов
D. NAND
| 3 |
Physics
|
An object is placed at a distance of
\( 15 \mathrm{cm} \) from a convex lens of focal length
10cm. On the other side of the lens, a
convex mirror is placed at its focus
such that the image formed by the
combination coincides with the object
itself. The focal length of the convex
mirror is :
\( \mathbf{A} \cdot 20 \mathrm{cm} \)
B. \( 10 \mathrm{cm} \)
\( c .15 \mathrm{cm} \)
D. \( 30 \mathrm{cm} \)
| 3 |
Physics
|
When we pay for our electricity bill, we are paying for the:
A. charge used.
B. current used
c. power used.
D. energy used
| 3 |
Physics
|
If the area of the \( \triangle A B C \) is 68 sq.units
and the vertices are \( \boldsymbol{A}(\boldsymbol{6}, \boldsymbol{7}), \boldsymbol{B}(-\boldsymbol{4}, \boldsymbol{1}) \)
and \( C(a,-9) \) taken in order, then find
the value of \( a \).
| 2 |
Maths
|
The element with electronic
configuration 2,8,6 is:
A. metallic with valency 2
B. non-metallic with valency - 2
c. non-metallic with valency 2
D. none of these
| 1 |
Chemistry
|
When in thermal contact, the quantity of heat lost by the hotter body is the amount of heat gained by the colder body.
A. Equal to
B. Greater than
c. Less than
D. cannot say
| 3 |
Physics
|
Find the maximum value of \( 2 x^{3}- \)
\( 24 x+107 \) in the interval \( [1,3] . \) Find the
maximum value of the same function in
[-3,-1]
| 2 |
Maths
|
Which of these is o, p-directing and deactivating group?
A. \( -F \)
в. \( -C l \)
\( \mathrm{c} .-B r \)
D. All of these
| 1 |
Chemistry
|
The gravitational field is a conservative
field. The work done in this field by
moving an object from one point to
another
A. depends on the end-points only.
B. depends on the path along which the object is moved.
C. depends on the end-points as well as the path between the points.
D. is not zero when the object is brought back to its initial position.
| 3 |
Physics
|
The area of an isosceles triangle, each of whose equal sides is \( 13 \mathrm{cm} \) and
whose base is \( 24 c m \) is
\( \mathbf{A} \cdot 60 \mathrm{cm}^{2} \)
B. \( 55 \mathrm{cm}^{2} \)
c. \( 50 \mathrm{cm}^{2} \)
D. \( 40 \mathrm{cm}^{2} \)
| 2 |
Maths
|
If \( a_{1}, a_{2}, a_{3}, \dots \) are in AP then \( a_{p}, a_{q}, a_{r} \)
\( \operatorname{are} \operatorname{in} A P \) if \( p, q, r \) are in
\( A \cdot A P \)
в. GP
c. нр
D. none of these
| 2 |
Maths
|
The hormones that have 'anti
inflammatory' effect are the:
A. Thyroxin
B. Insulin
c. Glucocorticoids
D. Auxins
| 1 |
Chemistry
|
An aqueous solution of a salt \( M X_{2} \) at
certain temperature has a van't Hoff
factor of \( 2 . \) The degree of dissociation for this solution of the salt is:
A . 0.50
B. 0.33
c. 0.67
D. 0.80
| 1 |
Chemistry
|
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