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In qualitative analysis, the metals of Group I can be separated from other ions by precipitating them as chloride
salts. A solution initially contains \( A g^{+} \)
and \( P b^{2+} \) at a concentration of 0.10 M.
Aqueous HCl is added to this solution
until the \( C l^{-} \) concentration is 0.10 M.
What will the concentration of \( A g^{+} \) and
\( P b^{2+} \) be at equilibrium? \( \left(K_{s p} \text { for } A g C l=1.8 \times 10^{-10}, K_{s p} \) for \right.
\[
\left.P b C l_{2}=1.7 \times 10^{-5}\right)
\]
\( \mathbf{A} \cdot\left[A g^{+}\right]=1.8 \times 10^{-11} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-4} M
\]
B . \( \left[A g^{+}\right]=1.8 \times 10^{-7} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-6} M
\]
c. \( \left[A g^{+}\right]=1.8 \times 10^{-11} M \)
\[
\left[P b^{2+}\right]=8.5 \times 10^{-5} M
\]
D \( \cdot\left[A g^{+}\right]=1.8 \times 10^{-9} M \)
\[
\left[P b^{2+}\right]=1.7 \times 10^{-3} M
\]
| 1 |
Chemistry
|
Reduce the equation \( x+2 y-3=0 \) to
slope-intercept form and find its slope
and \( \boldsymbol{y}- \) intercept.
| 2 |
Maths
|
If \( \frac{a^{3}+3 a b^{2}}{3 a^{2} b+b^{3}}=\frac{x^{3}+3 x y^{2}}{3 x^{2} y+y^{3}}, \) then
A \( \cdot b x=a y \)
в. \( b y=a x \)
\( \mathbf{c} \cdot b^{2} y=a^{2} x \)
D. \( b^{2} x=a^{2} y \)
| 2 |
Maths
|
Two particles having the same phase
must be at
A. a crest and a trough respectively at the same time
B. a crest and at the mean position respectively at the same time
C. a trough and at the mean position respectively at the same time
D. Two consecutive crests respectively at the same time
| 3 |
Physics
|
Give reasons why Distance and
displacement are different concepts.
| 3 |
Physics
|
How many ATPs are required by \( \boldsymbol{C}_{4} \) plants in synthesis of one molecule of glucose
A . 18 ATP
в. 30 АтР
c. 12 Атр
D. None of the above
| 0 |
Biology
|
In the following circuit diagram,
A. the diode is forward biased
B. the diode is reverse biased
C. current due to majority charge carriers flow from \( A \) to \( B \)
D. current due to majority charge carriers flows from \( B \) to \( A \)
| 3 |
Physics
|
Which of the following is the only coaltar derived analgesic, still in use today?
A. Acetaldehyde
B. Paracetamol
c. Penicillin
D. Formaldehyde
| 1 |
Chemistry
|
\( \frac{-}{0} \)
0
0
0
| 1 |
Chemistry
|
The force of repulsion between two
parallel wires is \( \boldsymbol{F} \) when each one of
them carries a certain current I. If the
current in each is doubled, the force
between them would be
\( A \cdot 8 F \)
в. \( 4 F \)
\( c \cdot 2 F \)
D. \( F \)
| 3 |
Physics
|
An acid with molecular formula
\( C_{7} H_{6} O_{3} \) forms three types sodium salts, i.e., \( C_{7} H_{5} O_{3} N a, C_{7} H_{4} O_{3} N a_{2} \)
and \( C_{7} H_{3} O_{3} N a_{3} . \) The basicity of the
acid is:
A. one
B. Two
c. Three
D. Four
| 1 |
Chemistry
|
A plane mirror is inclined at \( 40^{\circ} \) to the
floor. An incident ray parallel to the floor
strikes the mirror and a reflected ray is
formed. What is the angle of reflection?
A \( \cdot 40^{\circ} \)
B. \( 50^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 70^{\circ} \)
| 3 |
Physics
|
The pH of a solution of hydrochloric acid is \( 4 . \) The molar concentration of this solution is:
A . 4.0
B. 0.4
c. 0.000
D. 0.04
| 1 |
Chemistry
|
If \( a^{2}+b^{2}=1, \) then \( \frac{1+b+i a}{1+b-i a}=? \)
\( A \)
B. 2
c. \( b+i a \)
\( \mathbf{D} \cdot a+i b \)
| 2 |
Maths
|
Intensity of an electric field (E) depends on distance \( r . \) In case of dipole, it is
related as:
\( ^{\mathrm{A}}=_{E} \propto \frac{1}{r} \)
в. \( \quad E \propto \frac{1}{r^{2}} \)
c. \( \quad E \propto \frac{1}{r^{3}} \)
D. \( \quad E \propto \frac{1}{r^{4}} \)
| 3 |
Physics
|
If the area enclosed by the parabolas \( y=a-x^{2} \) and \( y=x^{2} \) is \( 18 \sqrt{2} \) sq.
units Find the value of 'a'
A \( . a=-9 \)
B. \( a=6 \)
\( \mathbf{c} \cdot a=9 \)
D. \( a=-6 \)
| 2 |
Maths
|
If the kinetic energy of the molecules in 5 litres of helium at 2 at \( m \) is \( E \). What is
the kinetic energy of molecules in 15
litres of oxygen at 3 at \( m \) in terms of \( E ? \)
A . \( 7.5 E \)
в. \( 7 E \)
\( c .8 .5 E \)
D. \( 8 E \)
| 3 |
Physics
|
The solubility product of an electrolyte is \( 6912 \times s^{n} \) ? How many ions \( (n) \) will be
obtained by the ionization of one molecule of electrolyte?
| 1 |
Chemistry
|
In a DNA molecule distance between
two bases is
\( \mathbf{A} \cdot 2 n m / 20 \stackrel{\circ}{A} \)
B \( \cdot 0.2 n m / 2 \stackrel{\circ}{A} \)
c. \( 3.4 n m / 34^{\circ} \)
D. \( 0.34 n m / 3.4^{\circ} \)
| 0 |
Biology
|
The binding energy of \( e^{-} \) in the ground
state of the hydrogen atom is \( 13.6 e V \) The energies required to eject out an
electron from three lowest states of \( \mathrm{He}^{+} \)
atom will be (in eV):
A . 13.6,10.2,3.4
в. 13.6,3.4,1.5
c. 13.6,27.2,40.8
D. 54.4,13.6,6
| 1 |
Chemistry
|
The nth term of the geometric
progression \( -3,6,-12,24 \dots \) is
A. \( -3(-2)^{n+1} \)
B. \( 3(-2)^{n-1} \)
c. \( -3(2)^{n-1} \)
D. \( -3(-2)^{n-1} \)
| 2 |
Maths
|
Among the following has the
highest retentivity.
A. aluminium
B. steel
c. nickel
D. soft iron
| 3 |
Physics
|
Assertion
O \( _{2} \) is paramagenetic in nature.
Reason
Bond-order of oxygen is two.
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
| 1 |
Chemistry
|
Prove that, \( (\cos \alpha+\cos \beta)^{2}+ \)
\( (\sin \alpha+\sin \beta)^{2}=4 \cos ^{2}\left(\frac{\alpha-\beta}{2}\right) \)
| 2 |
Maths
|
Statement
As ice absorbs heat and begins to melt,
its temperature remains constant Because
Statement II
Changes of state bring about changes in a substances potential energy, not in its kinetic energy
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both the Statement 1 and Statement 2 are correct and 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.
E. Both the Statement 1 and Statement 2 are not correct
| 1 |
Chemistry
|
The reagent used to detect phosphorous in an organic compound is :
A. \( F e S O_{4} \)
в. \( A g N O_{3} \)
\( \mathrm{c} \cdot\left(N H_{4}\right)_{2} M o O_{4} \)
D. \( B a C l_{2} \)
| 1 |
Chemistry
|
Histone occupies the major grooves of DNA at an angle of
\( A \cdot 15^{\circ} \)
B. \( 90^{\circ} \)
\( \mathrm{c} \cdot 45^{\circ} \) to the helix axis
D. 30 to the helix axis
| 0 |
Biology
|
If \( \vec{a}, \vec{b}, \vec{c}, \vec{d} \) are the position vectors of the points \( A, B, C, D \) respectively such that \( 3 \vec{a}+5 \vec{b}-3 \vec{c}-5 \vec{d}=0 \) then \( A B \)
intersects \( C D \) in the ratio
A .2: 3
B. 3: 2
c. 3: 5
D. 5: 3
| 2 |
Maths
|
In the xy-plane, the point of intersection of the lines \( x-7 y=25 \) and \( 7 x+ \)
\( 49 y=31 \) is given by
A \( \cdot(0,-3) \)
в. (4,3)
c. (-3,4)
D. \( \left(\frac{103}{7}, \frac{-72}{49}\right) \)
| 2 |
Maths
|
The ratio of the values in SI units to
values in CGS units of density is
\( \mathbf{A} \cdot 10^{3}: 1 \)
B \( \cdot 10^{2}: 1 \)
\( \mathbf{c} \cdot 10^{-2}: 1 \)
D. \( 10^{-3}: 1 \)
| 3 |
Physics
|
aqueous \( N a O H+P_{4}(w h i t e) \longrightarrow \)
\( \boldsymbol{P H}_{3}+\boldsymbol{X} . \) Compound \( \mathbf{X} \) is:
A. \( N a H_{2} P O_{2} \)
в. \( N a_{2} H P O_{4} \)
c. \( N a_{2} C O_{3} \)
D. \( \operatorname{NaH} \mathrm{CO}_{3} \)
| 1 |
Chemistry
|
Which substance is in higher concentration in blood than in glomerular filtrate?
A. Urea
B. Plasma proteins
c. water
D. Glucose
| 0 |
Biology
|
If \( P(2,-1), Q(3,4), R(-2,3) \) and
\( S(-3,-2) \) be four points in a plane,
show that PQRS is a rhombus but not a square. Find the area of the rhombus.
| 2 |
Maths
|
Find the matrix \( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{1} & \mathbf{0} \\ \mathbf{1} & \mathbf{2} & \mathbf{1} \\ \mathbf{2} & \mathbf{1} & \mathbf{0}\end{array}\right], \) which
of the following is correct
A. \( A^{3}+3 A^{2}-I=0 \)
B. \( A^{3}-3 A^{2}-I=0 \)
c. \( A^{3}+2 A^{2}-I=0 \)
D. \( A^{3}-A^{2}+I=0 \)
| 2 |
Maths
|
Binomial system of nomenclature for plants is effective from
A. 5.8.1771
в. 1.5.1753
c. 1.8 .1758
D. 6.7.1736
| 0 |
Biology
|
\( 100 \mathrm{ml} \) of tap water containing
\( \boldsymbol{C a}\left(\boldsymbol{H} \boldsymbol{C O}_{3}\right)_{2} \) was titrated with \( \mathrm{N} / 50 \)
\( \boldsymbol{H} \boldsymbol{C l} \) with methyl orange as indicator. If
\( 30 \mathrm{ml} \) of \( H C l \) were required, calculate
the temporary hardness as part of \( \mathrm{CaCO}_{3} \) per \( 10^{6} \) parts of water.
A. 150 ppm
B. 300 ppm
c. 450 ppm
D. 600 ppm
| 1 |
Chemistry
|
The volume of \( 1.0 g \) of hydrogen at NTP
is:
A \( .2 .24 L \)
B. 22.4 L
c. \( 1.12 L \)
D. \( 11.2 L \)
| 1 |
Chemistry
|
The equivalent circuit is :
A. NAND gates
B. OR gates
c. AND gates
D. NOR gates
| 3 |
Physics
|
Write the complete symbol for the atom with the given atomic number (Z) and atomic mass \( (A) \)
(i) \( z=17, A=35 \)
(ii) \( z=92, A=233 \)
(iii) \( Z=4, A=9 \)
| 1 |
Chemistry
|
An Incomplete rrequency alstrıbution IS
given below Median value is \( 46, \) the
missing frequency is
\( \begin{array}{lll}\text { Variate } & \text { Frequency } \\ 10-20 & 12 \\ 20-30 & 30 \\ 30-40 & ? \\ 40-50 & 65 \\ 50-60 & 45 \\ 60-70 & 25 \\ 70-80 & 18 \\ \text { Total } & 229\end{array} \)
A . 33
B. 35
\( c \cdot 34 \)
D. 2
| 2 |
Maths
|
Assertion
STATEMENT 1: Domain of \( \tan ^{-1} x \) and
\( \cot ^{-1} x \) is \( R \)
Reason
STATEMENT 2: \( \boldsymbol{f}(\boldsymbol{x})=\tan \boldsymbol{x} \) and \( \boldsymbol{g}(\boldsymbol{x})= \)
\( \cot x \) are unbounded function
A. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1
B. Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT1
C. STATEMENT1 is TRUE and STATEMENT 2 is FALSE
D. STATEMENT1 is FALSE and STATEMENT 2 is TRUE
| 2 |
Maths
|
Methylethylpropyl amine is optically inactive because
(i) It is not tetrahedral
(ii) Its molecule is superimposable on its mirror image
(iii) The enantiomers are rapidly interconverted
(iv) The nitrogen is \( s p^{2} \) hybridized Which of the above statement(s) is(are)
true?
A. only (i)
B. only (iii)
c. (i) and (iii)
D. All the four
| 1 |
Chemistry
|
Some hydrogen like atoms in ground state absorb n photons having same energy \( \& \) on de-excitation they emit exactly n photons. Then the energy of absorbed photon may be:
A . 91.8 ev
B. 40.8 ev
\( c .48 .4 \mathrm{ev} \)
D. 54.4 ev
| 1 |
Chemistry
|
Which of following molecules is not linear?
\( \mathbf{A} \cdot \mathbf{O}=\mathbf{C}=\mathbf{C}=\mathbf{C}=\mathbf{0} \)
B. \( \mathrm{H}_{2} \mathrm{C}=\mathrm{C}=\mathrm{O} \)
c. \( \mathrm{HC} \equiv \mathrm{C}-\mathrm{C} \equiv \mathrm{CH} \)
D. \( \mathrm{HC} \equiv \mathrm{CH} \)
| 1 |
Chemistry
|
Distinguish between the following pairs of compounds using the test given within brackets:
Sodium nitrate and sodium sulphite (using dilute sulphuric acid)
| 1 |
Chemistry
|
State whether true or false.
Gravitational forces can also be
repulsive like that of electrostatic forces.
A. True
B. False
| 3 |
Physics
|
Assertion
According to Lenz Law, since the same
magnetic flux passes through both the primary and secondary windings in an ideal transformer,a voltage is induced
in each winding.
Reason
Voltage induced is same in both the
windings, ideally.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
Equation of gas in terms of pressure \( p \)
absolute temperature \( T \) and density \( d \) is :
\( \mathbf{A} \cdot \frac{p_{1}}{d_{1} T_{1}}=\frac{p_{2}}{d_{2} T_{2}} \)
В \( \cdot \frac{p_{1} T_{1}}{d_{1}}=\frac{p_{2} T_{2}}{d_{2}} \)
\( \mathbf{c} \cdot \frac{p_{1} d_{2}}{T_{2}}=\frac{p_{2} d_{1}}{T_{1}} \)
D. \( \frac{p_{1} d_{1}}{T_{1}}=\frac{p_{2} d_{2}}{T_{2}} \)
| 3 |
Physics
|
Construct a triangle \( A B C \) in which
\( A B=5.6 c m, B C=5.4 c m \) and \( \angle B= \)
\( 40^{\circ} \)
| 2 |
Maths
|
Evaluate:
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left\{\cos ^{-1}\left(\frac{\boldsymbol{4} \boldsymbol{x}^{\boldsymbol{3}}}{\mathbf{2 7}}-\boldsymbol{x}\right)\right\} \)
\( ^{A} \cdot \frac{4}{\sqrt{9-x^{2}}} \)
В. \( \frac{1}{\sqrt{9-x^{2}}} \)
c. \( \frac{-3}{\sqrt{9-x^{2}}} \)
D. \( \frac{-1}{\sqrt{9-x^{2}}} \)
| 2 |
Maths
|
Show for positive number \( a, b, c \frac{b c}{a}+ \) \( \frac{a c}{b}+\frac{a b}{c} \leq a+b+c \)
| 2 |
Maths
|
Three identical point charges, each of mass \( \mathrm{m} \) and charge \( \mathrm{q}, \) hang from three strings as shown in figure and assume
the system is in equilibrium. The value of \( q \) in terms of \( m, L, \) and is:
A \( \cdot q=\sqrt{(16 / 5) \pi \varepsilon_{0} m g L^{2} \sin ^{2} \theta \tan \theta} \)
в. \( q=\sqrt{(16 / 25) \pi \varepsilon_{0} m g L^{2} s i n^{2} \theta \tan \theta} \)
c. \( q=\sqrt{(15 / 16) \pi \varepsilon_{0} m g L^{2} s i n^{2} \theta \tan \theta} \)
D. none of these
| 3 |
Physics
|
n \( \Delta A B C, \angle A B C=90^{\circ} \) and \( P \) is a
point on \( A C \) such that \( \angle P B C= \)
\( \angle P C B . \) Show that \( : P A=P B . \) Enter 1 if
true else 0
| 2 |
Maths
|
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{2} \\ \mathbf{2} & \mathbf{3}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{1} \\ \mathbf{0} & \mathbf{0}\end{array}\right] \)
then what is determinant of AB?
\( \mathbf{A} \cdot \mathbf{0} \)
B.
c. 10
D. 20
| 2 |
Maths
|
Thermoplastics are
A. linear polymers
B. soften or melt on heating
C. molten polymer can be moulded in desired shape
D. all of the above
| 1 |
Chemistry
|
One \( k g \) of diatomic gas is at a pressure
of \( 8 \times 10^{4} N / m^{2} . \) The density of the gas
is \( 4 k g / m^{3} . \) What is the energy of the gas due to its thermal motion?
A \( .5 \times 10^{4} J \)
B . \( 6 \times 10^{4} J \)
c. \( 7 \times 10^{4} J \)
D. \( 3 \times 10^{4} J \)
| 3 |
Physics
|
Find the point on the parabola \( y^{2}=18 x \)
at which the ordinate increases at twice
the rate of the abscissa.
| 2 |
Maths
|
In an ellipse the distance between the foci is one third of the distance between
the directrices, then its \( e \) is
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{\sqrt{3}} \)
\( c \cdot \frac{2 \sqrt{2}}{3} \)
D. \( \frac{1}{3} \)
| 2 |
Maths
|
In a vessel containing \( S O_{3}, S O_{2} \) and \( O_{2} \)
at equilibrium, some helium gas is introduced so that total pressure
increases while temperature and volume remain the same. According to Le Chatelier's principle the dissociation
of \( \boldsymbol{S O}_{3} \)
A. increases
B. decreases
c. remains unaltered
D. changes unpredictably
| 1 |
Chemistry
|
Explain the different zones of a candle flame.
| 1 |
Chemistry
|
The centre of the hyperbola \( 9 x^{2}-36 x- \)
\( 16 y^{2}+96 y-252=0 \) is
A \( .(2,3) \)
в. (-2,-3)
c. (-2,3)
D. none of these
| 2 |
Maths
|
The value of \( \int_{0}^{\pi} \sin ^{50} x \cos ^{49} x d x \) is
A .
в.
c. \( \frac{\pi}{2} \)
D.
| 2 |
Maths
|
Define electric potential.
| 3 |
Physics
|
Which of the following is true?
A. Rusting will take place in absence of water.
B. Rusting will take place in absence of air.
C. Rusting will not take place in presence of water and air
D. None of the above
| 3 |
Physics
|
If \( 27 a+9 b+3 c+d=0, \) then the
equation \( 4 a x^{3}+3 b x^{2}+2 c x+d=0 \)
has atleast one real root lying between
A. 0 and 1
B. 1 and 3
c. 0 and 3
D. None
| 2 |
Maths
|
Name and state the law which is used
to determine the direction of force on
a current carrying conductor placed in a magnetic field.
| 3 |
Physics
|
Assertion
Most polycyclic aromatic hydrocarbon
do not dissolve easily in water.
Reason
They stick to solid particles and settle to the bottoms of lakes or rivers.
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
|
Calculate the value of \( \frac{\left(290 K \times 300^{\circ} C\right)}{0^{o} C} \) in Kelvin scale.
A. 708.6
в. \( 608.6 \mathrm{k} \)
c. \( 508.6 \mathrm{k} \)
D. 408.6
| 1 |
Chemistry
|
What are resonating frequency for two circuits.
| 3 |
Physics
|
Which of the following is tetrabasic acid?
A. orthophosphoric acid
B. Hypophosphorus acid
c. Metaphosphoric acid
D. Pyrophosphoric acid
| 1 |
Chemistry
|
toppr \( E \)
Q Type your question-
product?
\( A \)
\( (\mathrm{A}) \)
\( B \)
\( (\mathrm{B}) \)
\( c \)
\( (\mathrm{C}) \)
\( D \)
\( (\mathrm{D}) \)
| 1 |
Chemistry
|
Which of the following is incorrect statement about Mendeleev's
classification of elements?
A. He could classify all the elements including noble gases
B. He left gaps for some yet to be discovered elements
c. He predicted the properties of some undiscovered elements
D. There was no place for isotopes in his table
| 1 |
Chemistry
|
\( \frac{\sin (\alpha+\beta)}{\sin (\alpha-\beta)}=\frac{a+b}{a-b} \) then prove that
\( \boldsymbol{a} \tan \boldsymbol{\beta}=\boldsymbol{b} \tan \boldsymbol{\alpha} \)
| 2 |
Maths
|
Two sound waves having a phase
difference of \( 60^{\circ}, \) have a path difference
of :
\( A \cdot \frac{\lambda}{3} \)
B. \( \frac{\lambda}{6} \)
\( c \cdot \frac{\lambda}{9} \)
D. \( \lambda \)
| 3 |
Physics
|
The monomeric actin is called as
A. F- actin
B. M- actin
c. G- actin
D. N- actin
| 0 |
Biology
|
Sound waves cannot travel through
A. Solids
B. Liquids
c. Gases
D. vacuum
| 3 |
Physics
|
The gas mixture constists of 3 moles of oxygen and 5 moles of argon at temperature \( T . \) Considering only
translational and rotational modes, the
total internal energy of the system is:
A . \( 12 R T \)
в. \( 20 R T \)
c. \( 15 R T \)
D. \( 4 R T \)
| 3 |
Physics
|
A good fuel has high calorific values.
A. True
B. False
| 1 |
Chemistry
|
The plane face of a plano convex lens is
silvered. If \( \mu \) be the refractive index and
R, the radius of curvature of curved
surface, then system will behave like a concave mirror of curvature.
A \( . \mu R \)
в. \( R^{2} / \mu \)
\( \mathbf{c} \cdot R /(\mu-1) \)
D. \( [(\mu+1) /(\mu-1)] R \)
| 3 |
Physics
|
Name and state the law which is kept in
mind while balancing equations.
| 3 |
Physics
|
Oxidation state of \( \boldsymbol{C r} \) in \( \boldsymbol{K}_{3}\left[\boldsymbol{C r}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right] \)
is :
| 1 |
Chemistry
|
Select the correct I.U.P.A.C. name for
\( \left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{5}(\mathrm{NO})\right] \mathrm{SO}_{4} \)
A. Pentaaqua nitrosonium iron
(I) sulphate
B. Pentaaqua nitrosylium iron (I) sulphate
c. Pentaaqua nitrosylium iron
(II) sulphate
D. Pentaaqua nitrosonium ferrate
(II) sulphate
| 1 |
Chemistry
|
Two wires of resistance \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} \) at
\( 0^{\circ} C \) have temperature coefficient of
resistance \( \alpha_{1} \) and \( \alpha_{2}, \) respectively. These are joined in series. The effective temperature coefficient of resistance is
:-
A \( \cdot \frac{\alpha_{1}+\alpha_{2}}{2} \)
в. \( \sqrt{\alpha_{1} \alpha_{2}} \)
c. \( \frac{\alpha_{1} R_{1}+\alpha_{2} R_{2}}{R_{1}+R_{2}} \)
D. \( \frac{\sqrt{R_{2} R_{1} \alpha_{1} \alpha_{2}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}} \)
| 3 |
Physics
|
If the relation is defined on \( \boldsymbol{R}-\{\mathbf{0}\} \) by
\( (x, y) \in S \Leftrightarrow x y>0, \) then \( S \) is
A. an equivalence relation
B. symmetric only
c. reflexive only
D. transitive only
| 2 |
Maths
|
Define principal focus of a convex lens. Draw light ray diagram of an image formed, when the object is placed in
between principal focus \( \boldsymbol{F} \) and \( 2 \boldsymbol{F} \) Write lens formula.
Calculate power of a lens if its focal
length is \( 0.5 m \)
| 3 |
Physics
|
Mono atomic element among the following is:
A. phosphorus
B. oxygen
c. krypton
D. sulphur
| 1 |
Chemistry
|
Draw a circuit diagram of an \( n-p-n \)
transistor with its emitter-base
junction foward biased and base-
collector junction reverse biased. Briefly describe its working Explain how a transistor in active
states exhibits a low resistance at its
emitter-base junction and high resistance at its base-collector
junction.
| 3 |
Physics
|
Calculate the energy required to excite
1 L of hydrogen gas at 1 atm and 298K to the first excited state of atomic
hydrogen. The energy for the dissociation of \( \boldsymbol{H}-\boldsymbol{H} \) bond is
\( 436 k J m o l^{-1} \)
| 1 |
Chemistry
|
The insecticide chlordane is warmed
with dilute NaOH solution for some
time. The no. of NaOH consumed:
| 1 |
Chemistry
|
Evaluate: \( \int_{3}^{9} \frac{\sqrt[3]{12-x}}{\sqrt[3]{x}+\sqrt[3]{12-x}} d x \)
| 2 |
Maths
|
Convert the complex number \( \frac{-16}{1+i \sqrt{3}} \) into polar form.
| 2 |
Maths
|
One mega joule approximately equals
\( A \cdot 240 \mathrm{kcal} \)
B. 2400 kcal
c. 24 kcasl
D. 2.4 kcal
| 3 |
Physics
|
The sky appears dark instead of blue to
an astronaut.Why?
| 3 |
Physics
|
The number of spectral lines that are
possible when electrons in fourth energy level in different hydrogen atoms return to ground state.
A .4
B. 8
\( c \cdot 6 \)
\( D \)
| 1 |
Chemistry
|
Match the columns I, II and III and mark
the appropriate choice.
\begin{tabular}{lll}
Column I & Column II & Column III \\
(A) Bromine & (i) Noble metal & (p) Amalgam \\
(B) Gold & (ii) Crystalline non-metal & (q) \( 4 s^{2} 4 p^{5} \) \\
(C) Mercury & (iii) Liquid non-metal & (r) Transition metal \\
(D) lodine & (iv) Liquid metal & (s) Violet \\
\hline
\end{tabular}
\( A \)
(A) \( \rightarrow(\text { iii }, q) ;(B) \rightarrow(i, r) ;(C) \rightarrow(i v, p) ;(D) \rightarrow(\text { ii, s }) \)
в. \( (A) \rightarrow(i i, p) ;(B) \rightarrow(i, s) ;(C) \rightarrow(i i i, q) ;(D) \rightarrow(i v, r) \)
\( c \)
(A) \( \rightarrow(\mathrm{i}, \mathrm{s}) ;(\mathrm{B}) \rightarrow(\mathrm{ii}, \mathrm{p}) ;(\mathrm{C}) \rightarrow(\mathrm{i} \vee, \mathrm{r}) ;(\mathrm{D}) \rightarrow(\text { iii }, \mathrm{q}) \)
\( D \cdot(A) \)
\( \rightarrow \) ii व)
\( (c) \)
\( \rightarrow \)
D) \( \rightarrow(i \) \( p \)
| 1 |
Chemistry
|
Members of which of the following have similar chemical properties?
A. Isotope
B. Isobars
c. Allotropes
D. Both isotopes and allotropes
| 1 |
Chemistry
|
Where is the tricuspid valve found?
| 0 |
Biology
|
If \( f(x)=\left\{\begin{array}{ll}\frac{x}{1+e^{1 / x}} & x \neq 0 \\ 0 & x=0\end{array} \), then the \right.
function \( f(x) \) is differentiable for:
\( \mathbf{A} \cdot x \in R^{+} \)
B. \( x \in R \)
c. \( x \in R-\{0\} \)
D. \( x \in R-\{0,1\} \)
| 2 |
Maths
|
The elements that reacts with cold
water:
A . Mg
B. Са
\( c . \) Ве
D. Mg \& Ca
| 1 |
Chemistry
|
The density of a cuboid of mass \( 200 g \)
with dimensions \( 2 \mathrm{cm} \times 4 \mathrm{cm} \times 5 \mathrm{cm} \) is
A \( \cdot 1000 \mathrm{kg} \mathrm{m}^{-3} \)
в. 3000 kg \( m^{-3} \)
c. \( 5000 \mathrm{kg} \mathrm{m}^{-3} \)
D. 2000 kg m \( ^{-3} \)
| 3 |
Physics
|
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