AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
where \( X, Y, Z \) are atoms of different
elements with different
electronegativities, are shown below.
The molecules are regular
tetrahedral species. Assume the bond
lengths in all the structures to be the
same.
Identify the pair(s) of structures of
molecules in which both the members
have the same magnitude of dipole
moment.
A. I and III
B. Il and v
c. IV and vı
D. I and \( V \)
Subject: Maths
On what date will Rs.1,950 lent on \( 5^{t h} \)
January, 1991 amount to Rs.2,125.50 at 5
per cent per annum simple interest?
A \( \cdot 23^{r d} \) Oct. 1992
B. \( 20^{\text {th }} \) Oct. 1992
\( \mathrm{c} \cdot 27^{t h} \) Oct. 1992
D. \( 26^{t h} \) Oct. 1992
Subject: Physics
The dimensions of latent heat are -
A \( \cdot M^{0} L^{2} T^{-2} \)
В. \( M^{0} L^{1} T^{-2} \)
c. \( M^{2} L^{0} T^{-2} \)
D. \( M^{0} L^{-2} T^{-2} \)
Subject: Maths
Given a function 'g' whcih has a
derivative \( g^{\prime}(x) \) for every real ' \( x \) ' and
which satisfy \( g^{\prime}(0)=2 \) and \( g(x+y)= \)
\( e^{y} \cdot g(x)+e^{x} \cdot g(y) \) for all \( x, y . \) Find \( g(x) \)
\( A \cdot 2 x e^{x} \)
В. \( x e^{x} \)
c. \( x+e^{x} \)
D. \( x-e^{x} \)
Subject: Physics
The heat capacity of liquid water is \( \mathbf{7 5 . 6 J} / \boldsymbol{K}-\boldsymbol{m o l}, \) while the enthalpy of
fusion of ice is \( 6.0 k J / \) mol. What is the
smallest number of ice cubes at \( 0^{\circ} C \)
each containing \( 9.0 g \) of water, needed
to cool \( 500 g \) of liquid water from \( 20^{\circ} \mathrm{C} \)
to \( 0^{\circ} C ? \)
A . 1
B. 7
c. 14
D. 21
Subject: Chemistry
How many \( \sigma- \) and \( \pi- \) bonds are there
\( \mathbf{n} \)
\( \mathbf{A} \cdot 14 \sigma, 8 \pi \)
B. \( 18 \sigma, 8 \pi \)
\( \mathbf{c} \cdot 19 \sigma, 4 \pi \)
D. \( 14 \sigma, 2 \pi \)
Subject: Chemistry
\( \boldsymbol{S} \boldsymbol{O}_{2} \) gas was prepared by
(i) burning sulphur in oxygen,
(ii) reacting sodium sulphite with
dilute \( H_{2} S O_{4} \) and
(iii) heating copper with conc. \( \boldsymbol{H}_{2} \boldsymbol{S O}_{4} \). It was found that in each case sulphur and oxygen combined in the ratio of 1: 1 The data illustrates the law of :
A. conservation of mass
B. multiple proportions
c. constant proportions
D. reciprocal proportions
Subject: Physics
Heat produced by burning \( 2 k g \) of a fuel,
whose calorific value is \( 22000 k J k g^{-1} \) is utilized to boil certain mass of water
which is at \( 34^{\circ} \mathrm{C} \). Find the mass of
water taken.
(Specific heat capacity of water is \( \left.4200 J k g^{-1} K^{-1}\right) \)
A . \( 159 \mathrm{kg} \)
в. \( 172 \mathrm{kg} \)
c. \( 183 \mathrm{kg} \)
D. \( 100 \mathrm{kg} \)
Subject: Physics
The self-inductance of the motor of an
electric fan is \( 10 \mathrm{H} \). In order to impart maximum power at \( 50 \mathrm{Hz} \), it should be
connected to a capacitance of : (Take \( \pi^{2} \) \( =10) \)
A \( .4 \mu F \)
в. \( 8 \mu F \)
c. \( 1 \mu F \)
D. \( 2 \mu F \)
Subject: Chemistry
The density of an object that has a mass of 0.86 grams and a volume of \( 0.953 \mathrm{ml} \) will be:
A \( .1 .0 \mathrm{g} / \mathrm{m} \)
B. \( 0.90 \mathrm{g} / \mathrm{ml} \)
c. \( 0.902 \mathrm{g} / \mathrm{ml} \)
D. none of the above
Subject: Physics
An electric charge produces an electric intensity of \( 500 N / C \) at a point in air. If the air is replaced by a medium of dielectric constant \( 2.5, \) then the intensity of the electric field due to the
same charge at the same point will be:
A \( .100 N / C \)
в. \( 150 N / C \)
c. \( 200 N / C \)
D. \( 300 N / C \)
Subject: Maths
If \( \frac{1-3 p}{2}, \frac{(1+4 p)}{3}, \frac{1+p}{6} \) are the
probabilities of three mutually exclusive and exhaustive events,then
the set of all values of p is
B. \( \left[-\frac{1}{4}, \frac{1}{3}\right] \)
c. \( \left[0, \frac{1}{3}\right] \)
\( D \cdot(0, \infty) \)
Subject: Chemistry
How many moles of \( A g C l \) will be
precipitated when an excess of \( A g N O_{3} \)
solution is added to one molar solution
of \( \left[\boldsymbol{C r} \boldsymbol{C l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}\right] \boldsymbol{C l}_{2} ? \)
Subject: Biology
Assertion
Tracheae, primary, secondary and tertiary bronchi are supported by incomplete cartilaginous rings.
Reason
These rings of cartilage make the wall
non-collapsible.
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
Subject: Chemistry
Assertion
Free energy of both reactants and products are minimum at equilibrium.
Reason

The free energy of both reactants and products decreases with passage of time and become equal at equilibrium.
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
Subject: Chemistry
The disachharide \( \alpha \) - maltose can be
hydrolysed to glucose according to the equation (only magnitude in nearest integer in \( \mathrm{kj} / \mathrm{mol} \) )
\( \boldsymbol{C}_{12} \boldsymbol{H}_{22} \boldsymbol{O}_{11}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O}(l) \longrightarrow \)
\( \mathbf{2} C_{6} \boldsymbol{H}_{12} \boldsymbol{O}_{6}(\boldsymbol{a} \boldsymbol{q}) \)
Using the following values, calculate the standard enthalpy change in this
reaction:
\( \Delta_{f} H^{o}\left(H_{2} O, l\right)=-285.85 k J m o l^{-1} \)
\( \Delta_{f} H^{o}\left(C_{6} H_{12} O_{6}, a q\right)=-1263.1 k J \)
\( m o l^{-1} \)
\( \Delta_{f} H^{o}\left(C_{12} H_{22} O_{11}, a q\right)=-2238.3 .1 k J \)
\( m o l^{-1} \)
Subject: Chemistry
The vapour pressure of two pure liquids \( A \) and \( B \) which from an ideal solution
are 500 and 800 torr respectively at
\( 300 K . \) A liquid solution \( A \) and \( B \) for
which the mole fraction of \( A \) is 0.60 is
contained in a cylinder closed by a piston on which the pressure can be
varied. What will be the pressure when 1 mol of the mixture has been vaporized?
Subject: Physics
A flat plate moves normally towards a discharging jet of water at the rate of 3 \( \mathrm{m} / \mathrm{s} . \) The jet discharges the water at the rate of \( 0.1 m^{3} / s \) and at the speed of 18 \( \mathrm{m} / \mathrm{s} . \) The force exerted on the plate due to the jet is
A . \( 1800 \mathrm{N} \)
B. 2100 N
c. 2450
D. 1560 N
Subject: Physics
Two metallic spheres of radii \( 2 \mathrm{cm} \) and
\( 6 \mathrm{cm} \) are given charges \( 3 \times 10^{-2} \mathrm{C} \) and
\( 7 \times 10^{-2} C, \) respectively. If these are
connected by a conducting wire, the final charge on the bigger sphere is
A \( \cdot 7.5 \times 10^{-2} C \)
В. \( 4 \times 10^{-2} \mathrm{C} \)
c. \( 3.5 \times 10^{-2} C \)
D. \( 2 \times 10^{-2} C \)
Subject: Maths
Write the first term \( a \) and the common
difference \( d \) of the \( A P:-5,-1,3,7 \dots . . . \)
A \( . a=-5, d=4 \)
В. \( a=-5, d=-6 \)
c. \( a=-5, d=-4 \)
D. \( a=5, d=-4 \)
4
Subject: Chemistry
Some organic compounds are given in
List I and their uses in List II. Choose the
correct matching.
List 1
\( (A) \) Triodomethane
\( (i) \) Solvent for alkaloids
\( (B) p, p^{\prime} \) -dichlorodipheny \( 1-\quad \) Propellent in trichloroethane aerosols
(C) Trichloromethane
(iii) Antiseptic
\( (D) \) Dichloromethane
\( (i v) \) Insecticide
A \( \cdot(A)-(i i),(B)-(i v),(C)-(i),(D)-(i i i) \)
B. \( (A)-(i i i),(B)-(i v),(C)-(i),(D)-(i i) \)
c. \( (A)-(i i),(B)-(i),(C)-(i v),(D)-(i i i) \)
D. \( (A)-(i i i),(B)-(i),(C)-(i v),(D)-(i i) \)
E \( .(A)-(i),(B)-(i i i),(C)-(i i),(D)-(i v) \)
Subject: Chemistry
Which of the following statement
is false?
\( \mathbf{A} \cdot H_{2} \) has just one sigma bond
B. \( H C l \) has just one sigma bond
\( \mathbf{c} \cdot H-C \equiv C-H \) has four pi bonds and three sigma bonds
D. \( C H_{2}=C H_{2} \) has five sigma bonds and one pi bond
\( \mathrm{E} \cdot H_{2} \mathrm{O} \) has two sigma bonds and two lone pairs
Subject: Chemistry
Solubility of \( A g C l \) in \( 0.1 \mathrm{M} A g N O_{3} \) is
\( 10^{-9} M . \) Its solubility in \( 0.1 \mathrm{M} H C l \) is
A \( \cdot 10^{-9} M \)
В. \( 10^{-10} \) И
\( \mathbf{c} \cdot 10^{-5} M \)
D. none of these
Subject: Physics
A bus of mass 1000 kg has an engine which produces a constant power of 50 kW. If the resistance to motion,
assumed constant is \( 1000 \mathrm{N} \). The
maximum speed at which the bus can travel on level road and the acceleration
when it is travelling at \( 25 \mathrm{m} / \mathrm{s}, \) will respectively be?
A \( .50 \mathrm{m} / \mathrm{s}, 1.0 \mathrm{m} / \mathrm{s}^{2} \)
B. \( 1.0 \mathrm{m} / \mathrm{s}, 50 \mathrm{m} / \mathrm{s}^{2} \)
\( \mathbf{c} \cdot 5.0 \mathrm{m} / \mathrm{s}, 10 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 10 \mathrm{m} / \mathrm{s}, 5 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Chemistry
2 moles of \( P C l_{5} \) were heated in a closed
vessel of 2 litre capacity. At
equilibrium, \( 40 \% \) of \( P C l_{5} \) is
dissociated into \( P C l_{3} \) and \( C l_{2} . \) The
value of equilibrium constant is:
\( \mathbf{A} \cdot 0.266 \)
B. 0.53
\( c .2 .66 \)
D. 5.3
Subject: Physics
A mass \( m_{1} \) moves with a grate velocity.
It strikes another mass \( m_{2} \) at rest in
head-on collision. It comes back along
its path with low speed after collision. Then :
\( \mathbf{A} \cdot m_{1}>m_{2} \)
В. \( m_{1}<m_{2} \)
\( \mathbf{c} \cdot m_{1}=m_{2} \)
D. there is no relation between \( m_{1} \) and \( m_{2} \)
Subject: Biology
Fill in the blanks:
Component Inspired air Expired air Oxygen
\( a \)
Nitrogen \( 79 \% \)
\( A \cdot a=5.6 \%, b=21.6 \% \)
B. \( a=20.96 \%, b=79.6 \% \)
c. \( a=28.8, b=98 \% \)
D. \( a=1 \%, b=2 \% \)
Subject: Physics
The \( (x, y, z) \) coordinates of two points \( A \) and \( \mathrm{B} \) are given respectively as (0,4,-2) and \( (-2,8,-4) . \) The displacement vector
from \( A \) to \( B \) is:
A \( \cdot-2 \hat{i}+4 \hat{j}-2 \hat{k} \)
B. \( 2 \hat{i}-4 \hat{j}+2 \hat{k} \)
c. \( 2 \hat{i}+4 \hat{j}-2 \hat{k} \)
D. \( -2 \hat{i}-4 \hat{j}-2 \hat{k} \)
Subject: Maths
The function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}-[\boldsymbol{x}]+\cos \boldsymbol{x} \)
where \( [x] \) is the greatest integer \( \leq n \), is
A. a periodic function of period \( 2 \pi \)
B. a periodic function of period 1
c. a periodic function of indeterminate period
D. a non-periodic function
Subject: Chemistry
The specific conductance of a solution
containing 5 g of anhydrous \( B a C l_{2} \) (mol.wt. \( =208 \) ) in \( 1000 \mathrm{cm}^{3} \) of a
solution is found to be 0.0058
ohm \( ^{-1} \mathrm{cm}^{-1} \). Calculate the molar and
equivalent conductivity of the solution.
Subject: Biology
Assertion
\( G_{1} \) phase is the interval between
mitosis and initiation of DNA
replication
Reason
The cell is metabolically inactive during
\( G_{1} \) phase.
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
Subject: Physics
In an ice rink a skator is moving at \( 3 m s \)
-1 and encounters a rough patch that
reduces her speed by \( 45 \% \) due to a friction force that is \( 25 \% \) of her weight. Find the length of the rough patch
A . \( 1.56 m \)
B. \( 1.46 m \)
c. \( 1.36 m \)
D. \( 1.26 m \)
Subject: Chemistry
The angular momentum of electron can have the value(s):
This question has multiple correct options
A \( \cdot_{0.5} \frac{h}{\pi} \)
в. \( \frac{h}{\pi} \)
c. \( \frac{h}{0.5 \pi} \)
D. \( 2.5 \frac{h}{2 \pi} \)
Subject: Maths
If \( \left.f(x)=\left(a-x^{n}\right)^{1 / n} \text { where } a>0 \text { and }\right\} \)
\( n \) is a positive integer then \( (\text { fof })(x) \) is
A. \( f(x) \)
B.
\( c \cdot 0 \)
\( D \)
Subject: Biology
Which one of the following is correct
match?
A . A- Interfascicular cambium, B- Intrafasicular
cambium, C- Pericycle, D- Pith
B. A- - Intrafascicular cambium, B- -Interfascicular cambium, C- Pith, D- Pericycle
C. A- Pericycle, B- Interfascicular cambium, C- Pith, D Primary phloem
D. A- Pericycle, B- Pith, C- - Interfascicular cambium Dntrafascicular cambium
Subject: Physics
A \( 8 \mathrm{m} \) long string of rubber, having density \( 1.5 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3} \) and young's
modulus \( 5 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \) is suspended
from the ceiling of a room. The increase in its length due to its own weight
will be \( \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
A. \( 9.6 \times 10^{-2} \mathrm{m} \)
В. \( 19.2 \times 10^{-5} \mathrm{m} \)
c. \( 9.6 \times 10^{-3} \mathrm{m} \)
D. \( 9.6 \mathrm{m} \)
Subject: Physics
I nree points are located at the vertıces
of an equilateral triangle having each
side as \( \alpha . \) All the points move
simultaneously with speed \( u \) such that
first point continually heads for second,
the second for the third and the third for
the first. Time taken by the points to
meet at the centre is
A \( \cdot \frac{\alpha}{3 u} \)
B. \( \frac{2 \alpha}{3 u} \)
c. \( \frac{\alpha^{2}}{u^{3}} \)
\( D \cdot 3 \alpha \)
\( 2 u \)
Subject: Physics
The vectors \( \vec{A} \) and \( \vec{B} \) are such that \( \vec{A}+ \) \( \vec{B}=\vec{C} \) and \( A^{2}+B^{2}=C^{2} \). Angle \( \theta \)
between positive directions of \( \vec{A} \) and \( \vec{B} \) is
A \( \cdot \frac{\pi}{2} \)
B.
c. \( \pi \)
D. \( \frac{2 \pi}{3} \)
Subject: Maths
Find the remainder when \( x^{3}+p x^{2}+ \)
\( \boldsymbol{q} \boldsymbol{x}+\boldsymbol{r} \) is divided by \( \boldsymbol{x}^{2}+\boldsymbol{p} \boldsymbol{x}+\boldsymbol{q} \)
Subject: Physics
Calculate the ground state Q value of the induced fission reaction in the
equation
\( \boldsymbol{n}+_{\mathbf{9 2}}^{235} \boldsymbol{U} \rightarrow_{\mathbf{9 2}}^{236} \boldsymbol{U}^{*} \rightarrow_{40}^{99} \boldsymbol{Z} \boldsymbol{e}+_{52}^{134} \boldsymbol{T} \boldsymbol{e}+ \)
\( \mathbf{3} n \)
if the neutron is thermal. A thermal
neutron is in the thermal equilibrium with its environment; it has an average kinetic energy given by (3/2) kT. Given:
\( \$ \$ m(n)=1.0087 \) amu,
\( \mathrm{M}(\wedge\{235\} \cup)=235.0439 \) amu,
\( M(\wedge\{99\} Z r)=98.916 \)
amu \( \mathrm{M}(\wedge\{134\} \mathrm{Te})=133.9115 \) amu \( \$ \$ \)
Subject: Chemistry
\( 2 H I(g) \leftrightharpoons H_{2}(g)+I_{2}(g) \)
What is the equilibrium constant expression for the above reaction?
\( \mathbf{A} \cdot\left[H_{2}\right]^{2}\left[I_{2}\right] \)
B . \( \left[\mathrm{H}_{2}\right] \)
c. \( \frac{\left[H_{2}\right]\left[I_{2}\right]}{[H I]^{2}} \)
D・ \( \left[H_{2}\right]\left[I_{2}\right]^{2} \)
E \( \cdot\left[H_{2}\right]^{2}\left[I_{2}\right]^{2} \)
Subject: Chemistry
Anodic oxidation of ammonium
hydrogen sulphate produces ammonium persulphate. \( N H_{4} H S O_{4} \rightarrow N H_{4} S O_{4}^{-}+H^{+} \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{S} \boldsymbol{O}_{4}^{-} \rightarrow\left(\boldsymbol{N} \boldsymbol{H}_{4}\right)_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{8}+\boldsymbol{2} \boldsymbol{e}^{-} \)
(Anodic oxidation)
\( 2 H^{+}+2 e^{-} \rightarrow H_{2} \) (Cathodic reduction)
Hydrolysis of ammonium persulphate
forms \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
\( \left(N H_{4}\right)_{2} S_{2} O_{8}+2 H_{2} O \rightarrow \)
\( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{\mathbf{4}} \boldsymbol{H} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
Current efficiency inn electrolytic process is \( 60 \% \). Calculate the amount of
current required to produce \( 85 g \) of
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) per hour
Hydrolysis reaction shows \( 100 \% \) yield.
Subject: Biology
Q Type your question
A population study of plants was done
in an abandoned field. Each year for 3
years the vegetation was sampled. The chart indicates the results of the body.
\( \begin{array}{ll}\text { Number } \\ \text { of } \\ \text { Year } & \text { Plants } \\ \text { per Acre }\end{array} \)
Ragweed \( \quad \) Timothy
Grass Sandspur \begin{tabular}{llll}
1 & 3,800 & 4,900 & 600 \\
2 & 1,500 & 2,209 & 1,185 \\
\hline
\end{tabular} 752 2,234
Which of the following are initially most successful in succession?
A. Sandspur and ragweedd
B. Sandspur and timothy grass
c. Ragweed and timothy grass
D. Ragweed and wire grass
E. Sandspur and goldenroo
Subject: Physics
Two vectors \( A \) and \( B \) have equal
magnitudes. If magnitude of \( A+B \) is equal to \( n \) times the magnitude of \( A-B \)
then the angle between \( A \) and \( B \) is
A \( \cdot \cos ^{-1}\left(\frac{n-1}{n+1}\right) \)
B. \( \cos ^{-1}\left(\frac{n^{2}-1}{n^{2}+1}\right) \)
c. \( \sin ^{-1}\left(\frac{n-1}{n+1}\right) \)
D. \( \sin ^{-1}\left(\frac{n^{2}-1}{n^{2}+1}\right) \)
Subject: Chemistry
Assertion
Sulphuric acid is more viscous than
water.
Reason
Concentrated sulpuric acid has a great affinity for water.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statement
Subject: Chemistry
A substances A reacts with another
substances B to produce the product \( C \) and a gas D. If a mixture of the gas \( D \) and ammonia is passed through an aqueous solution of \( \mathrm{C} \), baking soda is formed. The substances \( A \) and \( B \) are:
A . \( H C l \) and \( N a O H \)
B. \( H C l \) and \( N a_{2} C O_{3} \)
c. \( N a \) and \( H C l \)
D. \( N a_{2} C O_{3} \) and \( H_{2} O \)
Subject: Maths
State true or false:
In the given figure, the diagonals \( \boldsymbol{A C} \)
and \( B D \) intersect at point \( O . \) If \( O B= \)
\( O D \) and \( A B / / D C, \) then
Area\( (\triangle D C B)= \)Area\( (\triangle A C B) \)
A. True
B. False
Subject: Biology
Which one of the following statement is
correct regarding blood pressure?
A. \( 190 / 110 \mathrm{mm} \) Hg may harm vital organs like brain and kidney
B. \( 130 / 90 \mathrm{mm} \) Hg is considered high and requires treatment
C. \( 100 / 55 \mathrm{mm} \) Hg is considered and ideal blood pressure
D. \( 105 / 50 \mathrm{mm} \) Hg makes one very active
Subject: Chemistry
Find the number of molecule(s) is/are having zero dipole moment and linear shape from the following:
\( \boldsymbol{C l} \boldsymbol{F}_{3}, \boldsymbol{I}_{3}^{-}, \boldsymbol{C O}_{2}, \boldsymbol{H} \boldsymbol{g} \boldsymbol{C l}_{2}, \boldsymbol{I} \boldsymbol{C l}_{2}^{-}, \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{2} \)
Subject: Chemistry
The element with atomic number \( Z= \)
115 will be placed in :
A \( \cdot 7^{t h} \) period , 1 A group
B. \( 8^{t h} \) period , IV A group
C. \( 7^{t h} \) period \( , \) V A group
D. \( 6^{t h} \) period , \( \vee \) B group
Subject: Chemistry
The energy of the orbitals decreases in the order:
A \( . s>p>s p^{3}>s p>s p^{2} \)
В . \( p>s p^{3}>s p^{2}>s p>s \)
\( \mathbf{c} \cdot s p^{3}>s p^{2}>s p>s>p \)
D \( . s>s p>s p^{2}>s p^{3}>p \)
E. None of these
Subject: Chemistry
\( p K_{a_{1}} \) of carbonic acid in blood at body
temperature \( \left(37^{\circ} C\right) \) is \( 6.1 . \) Hence, ratio
\( \left[\boldsymbol{H} \boldsymbol{C O}_{3}^{-}\right] /\left[\boldsymbol{H}_{2} \boldsymbol{C O}_{3}\right] \) is approximately:
A . 1.3:
B. 1: 1.3
\( c \cdot 20: \)
D. 1: 20
Subject: Chemistry
\( \boldsymbol{T} \boldsymbol{i}^{3+}(\boldsymbol{a} \boldsymbol{q}) \) is purple while \( \boldsymbol{T} \boldsymbol{i}^{4+}(\boldsymbol{a} \boldsymbol{q}) \) is
colourless because:
Tetrahedral field
A. there is no crystal field effect in \( T i^{4-} \)
B. there energy difference between \( t_{2 g} \) and \( e_{g} \) of Tir\{ \( 4-3 \$ \$ \) is quite high and does not fall in the visible region
\( \mathrm{C} \cdot T i^{4-} \) has \( d^{0} \) configuration.
D. \( T i^{4-} \) is very stabilization energy for \( \left[C o F_{6}\right]^{3-} \) in terms of parameter Dq is - \( (\Delta=100 D q) \)
Subject: Maths
The current birth rate per thousand is
\( 32, \) whereas the corresponding death
rate is 11 per thousand. The net growth rate in terms of population increase in per cent is given by,
A. \( 0.0021 \% \)
and \( 6.0021 \% \)
B. \( 0.021 \% \)
\( c \cdot 2 \cdot 1 \% \)
D. \( 21 \% \)
Subject: Maths
The numbers shown in the Venn
diagram represent the number of
elements in each subset. Find \( [(\boldsymbol{F} \cup \)
\( \boldsymbol{G}) \cap \boldsymbol{H}^{\prime} \)
\( A \cdot 3 \)
B. 13
\( c \cdot 15 \)
D. 18
Subject: Maths
The mean of \( \frac{1}{3}, \frac{3}{4}, \frac{5}{6}, \frac{1}{2} \) and \( \frac{7}{12}, \) is
A \( \cdot \frac{2}{5} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{1}{5} \)
D. None of these
Subject: Physics
When \( 5 V \) potential difference is applied across a wire length \( 0.1 m \), the drift
speed of electron is \( 2.5 \times 10^{-4} m s^{-1} . \) If
the electron density in the wire is 8 \( \times 10^{28} m^{-3}, \) the resistivity of the material is close to
A \( \cdot 1.6 \times 10^{-8} \Omega \mathrm{m} \)
В. \( 1.6 \times 10^{-7} \Omega \mathrm{m} \)
c. \( 1.6 \times 10^{-6} \Omega \mathrm{m} \)
D. \( 1.6 \times 10^{-5} \Omega \) m
Subject: Chemistry
The colourless species is
A. \( V C l_{3} \)
в. \( \operatorname{VOSO}_{4} \)
c. \( N a_{3} V O_{4} \)
\( \mathrm{D} \cdot\left[V\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{SO}_{4} \cdot \mathrm{H}_{2} \mathrm{O} \)
Subject: Physics
A point charge \( q \) is situated at a
distance \( r \) on axis from one end of a
thin conducting rod of length \( L \) having a
charge \( Q \) (Uniformly distributed along its length). The magnitude electric force between the two is
A \( \cdot \frac{k q^{2}}{r(r+L)} \)
в. \( \frac{K Q q}{r^{2}} \)
c. \( \frac{K Q q}{r(r-L)} \)
D. \( \frac{K Q q}{r(r+L)} \)
Subject: Chemistry
Excess of \( K I \) and \( d i l . H_{2} S O_{4} \) were
\( \operatorname{mixed} \operatorname{in} 50 m L H_{2} O_{2} . \) The liberated \( I_{2} \)
required \( 20 m L \) of \( 0.1 N N a_{2} S_{2} O_{3} \)
Find out the strength of \( H_{2} O_{2} \) in
\( \boldsymbol{g} \) per litre.
Subject: Maths
In the figure, PR and QS are two
diameters of the circle.
If \( P R=28 c m \) and \( P S=14 \sqrt{3} \mathrm{cm} \)
then find the total area of two shaded
segments. \( (\sqrt{3}=1.73) \)
A \( \cdot 249,12 \mathrm{cm}^{2} \)
B . \( 240.76 \mathrm{cm}^{2} \)
c. \( 251.12 \mathrm{cm}^{2} \)
D. None of these
Subject: Maths
If \( y=\sqrt{\frac{1-x}{1+x}}, \) then \( \frac{d y}{d x} \) equals
A \( \cdot \frac{y}{1-x^{2}} \)
в. \( \frac{y}{x^{2}-1} \)
c. \( \frac{y}{1+x^{2}} \)
D. \( \frac{y}{y^{2}-1} \)
Subject: Maths
Using properties of determinants, prove
that
\[
\boldsymbol{\omega}\left|\begin{array}{ccc}
\boldsymbol{x} & \boldsymbol{y} & \boldsymbol{z} \\
\boldsymbol{x}^{2} & \boldsymbol{y}^{2} & \boldsymbol{z}^{2} \\
\boldsymbol{y}+\boldsymbol{z} & \boldsymbol{z}+\boldsymbol{x} & \boldsymbol{x}+\boldsymbol{y}
\end{array}\right|=(\boldsymbol{x}-
\]
\( \boldsymbol{y})(\boldsymbol{y}-\boldsymbol{z})(\boldsymbol{z}-\boldsymbol{x})(\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}) \)
Subject: Physics
A thin disc of mass \( \mathrm{M} \) and radius \( \mathrm{R} \) has
per unit area \( \sigma(r)=k r^{2} \) where \( r \) is the
distance from its centre. Its moment of
inertia about an axis going through its centre of mass and perpendicular ti its plane is :
\( \mathbf{A} \cdot 2 \frac{M R^{2}}{6} \)
B \( \cdot 2 \frac{M R^{2}}{3} \)
\( \mathbf{c} \cdot_{2} \frac{2 M R^{2}}{3} \)
D. \( 2 \frac{M R^{2}}{2} \)
Subject: Maths
The frequency distribution of the marks
obtained by 100 students in a test carrying 50 marks then the mean is
20- 30 Marks \( \quad \begin{array}{cc}0- & 10- \\ 9 & 19\end{array} \) 29 39
No. of
students 15
20 45
A . 28.3
B . 28
c. 27.3
D. 26.4