AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The outer electron configuration of Gd
(Atomic No.64) is:
\( \mathbf{A} \cdot 4 \mathrm{f}^{3} 5 \mathrm{d}^{5} 6 \mathrm{s}^{2} \)
B \( \cdot 4 \mathrm{f}^{4} 5 \mathrm{d}^{0} 6 \mathrm{s}^{2} \)
C \( \cdot 4 \mathrm{f}^{2} 5 \mathrm{d}^{4} 6 \mathrm{s}^{2} \)
D. \( 4 \mathrm{f}^{7} 5 \mathrm{d}^{1} 6 \mathrm{s}^{2} \)
Subject: Physics
A cylindrical vessel of base radius \( \mathrm{R} \) and
height H has a narrow neck of height h and radius \( r \) at one end(see figure). The
vessel is filled with water(density \( \rho_{w} \) )
and its neck is filled with immiscible oil
(density \( \rho_{o} \) ). Then the pressure at:
A \( \cdot \) M is \( g\left(h \rho_{o}+H \rho_{w}\right) \)
B. \( \quad \) N is \( g\left(h \rho_{o}+H \rho_{w}\right) \frac{r^{2}}{R^{2}} \)
c. \( \mathrm{M} \) is \( g H \rho_{w} \)
D. \( \mathrm{N} \) is \( g \frac{\rho_{w} H R^{2}+\rho_{o} h r^{2}}{R^{2}+r^{2}} \)
Subject: Physics
A load of \( 10 \mathrm{kg} \) is suspended by a metal
wire 3 m long and having a cross-
sectional are \( 4 m m^{2} . \) Find (a) the stress
(b) the strain and
(c) the elongation.
Young modulus of the metal is \( 2.0 \times \) \( 10^{11} N m^{-2} \)
Subject: Physics
Q Type your question.
Iong ana reacnes the potrom \( 3 s \) later. \( A \) t
the instant when \( A \) is released, a
second mass \( B \) is projected upwards
along the plate from the bottom with a
certain initial velocity. Mass \( B \) travels a
distance up the plane, stops and
returns to the bottom so that it arrives
simultaneously with \( A \). The two masses
do not collide. Initial velocity of \( B \) is
A \( \cdot 4 m s^{-1} \)
B. \( 5 m s^{-1} \)
\( c \cdot 6 m s^{-1} \)
D. \( 7 \mathrm{ms}^{-} \)
Subject: Physics
A uniform wire is cut into two pieces
such that 1 piece is twice as long as the other. The 2 pieces are connected in
parallel in the left gap of meter bridge. When a resistance of \( 20 \Omega \) is connected
in the right gap, the neutral point is obtained at a distance of \( 60 \mathrm{cm} \) from
the right end of the wire. Find out the original resistance of wire before it was
cut into 2 pieces.
Subject: Maths
The terminal arm is in II quadrant, what
are the measures of possible angles?
A . In between \( 90^{\circ} \) and \( 180^{\circ} \) or \( -270^{\circ} \) and \( -180^{\circ} \)
B. In between \( 180^{\circ} \) and \( 270^{\circ} \) or \( -90^{\circ} \) and \( -180^{\circ} \)
C. In between \( -90^{\circ} \) and \( 0^{\circ} \) or \( 270^{\circ} \) and \( 360^{\circ} \)
D. None of these
Subject: Physics
Two parallel plates \( 5 \mathrm{cm} \) apart are connected to a 500 V D.C supply. Assuming that an electron starts from rest, its velocity after a nano second is
A \( \cdot 1.56 \times 10^{6} m / s \)
В . \( 1.66 \times 10^{6} \mathrm{m} / \mathrm{s} \)
c. \( 1.76 \times 10^{6} m / s \)
D. \( 1.86 \times 10^{6} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Among the elements \( C a, M g, P \) and \( C l \)
the order of increasing atomic radii is:
A. \( M g<C a<C l<P \)
в. \( C l<P<M g<C a \)
c. \( P<C l<C a<M g \)
D. \( C a<M g<P<C l \)
\( l \)
Subject: Physics
Two conductors \( A \) and \( B \) of the same
length and diameter are connected across the same battery. The resistivity of \( A \) is twice that of \( B \). If
\( P_{A} \) and \( P_{B} \) be the powers dissipated
\( \operatorname{across} A \) and \( B, \) respectively, then
A \( \cdot P_{A}=P_{B} \)
В. \( P_{A}>P_{B} \)
c. \( P_{A}<P_{B} \)
D. \( P_{A}=P_{B}=1 \)
Subject: Physics
Two spherical balls \( A \) and \( B \) made of the same material, are heated to the same temperature. They are then placed in identical surroundings. If the
diameter of \( A \) is twice that of \( B \), ratio of
the rates of cooling of \( A \) and \( B \) will be
A . 1: 1
B . 2: 1
c. 4: 1
D. 1: 4
Subject: Maths
Add the following \( \mathbf{2} p^{2} \boldsymbol{q}^{2}-\mathbf{3} \boldsymbol{p} \boldsymbol{q}+\boldsymbol{4}=\mathbf{0}, \mathbf{5}+\mathbf{7} \boldsymbol{p} \boldsymbol{q} \)
\( 3 p^{2} q^{2}=0 \)
Subject: Chemistry
What happens if \( P b O_{2} \) is used instead
of \( N a B i O_{3} ? \)
A \( \cdot P b O_{2}+M n^{2+}+H^{+} \rightarrow M n O_{4}^{-}+P b^{2+}+H_{2} O \)
B . \( 5 P b O_{2}+2 M n^{2+}+14 H^{+} \rightarrow 2 M n O_{4}^{-}+5 P b^{2+}+2 H O \)
C. \( 5 P b O_{2}+2 M n^{2+}+14 H^{+} \rightarrow 2 M n O_{4}^{-}+5 P b^{2+}+2 H_{2} O \)
D. None of these
Subject: Physics
A point charge \( q \) is brought form infinity
and is placed at the centre of a
conducting neutral spherical shell of
inner radius \( a \) and outer radius \( b, \) then
work done by external agent is:
\( A \)
B. \( \frac{k q^{2}}{2 b} \)
c. \( \frac{k q^{2}}{2 b}-\frac{k q^{2}}{2 a} \)
D. \( \frac{k q^{2}}{2 a}-\frac{k q^{2}}{2 b} \)
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}_{0} \boldsymbol{A}_{1} \boldsymbol{A}_{2} \boldsymbol{A}_{3} \boldsymbol{A}_{4} \boldsymbol{A}_{5} \) be a regular
hexagon inscribed in a circle of unit radius. Then the product of the length of
the line segments \( A_{0} A_{1}, A_{0} A_{2} \) and
\( \boldsymbol{A}_{0} \boldsymbol{A}_{4} \) is
A \( \cdot \frac{3}{4} \)
в. \( \frac{3}{\sqrt{3}} \)
\( c .3 \)
D. \( \frac{3 \sqrt{3}}{2} \)
Subject: Physics
A man throws a packet from a tower directly aiming at his friend who is standing at a certain distance from the base which is same as a height of the tower. If packet is thrown with a speed of \( 4 m / s \) and it hits the ground midway between the tower base \( \& \) his friend.
Find the height of the tower. (Take \( g= \) \( 9.8 m / s^{2} \)
A. 3.8
в. 4.4
\( c .3 .2 \)
D. 2.2
Subject: Maths
\( \int \frac{(\mathbf{2} \boldsymbol{x}+\mathbf{1})}{\left(\boldsymbol{x}^{2}+\mathbf{4} \boldsymbol{x}+\mathbf{1}\right)^{\frac{\mathbf{3}}{\mathbf{2}}}} \boldsymbol{d} \boldsymbol{x} \)
A. \( \frac{x^{3}}{\left(x^{2}+4 x+1\right)^{\frac{1}{2}}}+C \)
в. \( \frac{x}{\left(x^{2}+4 x+1\right)^{\frac{1}{2}}}+C \)
c. \( \frac{x^{2}}{\left(x^{2}+4 x+1\right)^{\frac{1}{2}}}+C \)
D. \( \frac{1}{\left(x^{2}+4 x+1\right)^{\frac{1}{2}}}+C \)
Subject: Physics
A glass sphere of radius \( 2 R \) and
refractive index \( n \) has a spherical cavity
of radius \( R \), concentric with it

When viewer is on left side of the hollow
sphere, what will be the shift in position
of the object?
A \( \cdot \frac{(n+1)}{(n-1)} R, \) right
B \( \cdot \frac{(n-1)}{(n+1)} R, \) right
c. \( \frac{(2 n-1)}{(2 n+1)} R, \) left
D. \( \frac{2(n-1)}{(n+1)} R \), left
Subject: Chemistry
1.008 grams of hydrogen combines with \( 35.453 \mathrm{g} \) of chlorine to form \( 36.463 \mathrm{g} \) of a pure compound (hydrogen chloride) Dalton's explanation for this experimental fact might be:
A. One atom of hydrogen combines with 35.453 atoms of chlorine in this reaction
B. Hydrogen and chlorine atoms always combine in a 1:35 ratio
C. Chlorine accepts hydrogen's electron to form polar covalent hydrogen chloride
D. Hydrogen and chlorine atoms aren't created or destroyed in the process so the reactant mass is the same as the product mass.
Subject: Maths
\( \Delta A B C \) is right angle at \( A(\text { figure }) . A D \) is
perpendicular to BC. if \( \boldsymbol{A B}= \)
\( 5 c m, B C=13 c m, A C=12 c m, \) Find
the area of \( \Delta A B C . \) Also find the length
of AD.
Subject: Physics
If \( f_{1} \) and \( f_{2} \) represent the first and second focal lengths of a single spherical refracting surface of refractive index \( \mu \) then
A \( \cdot f_{1} f_{2}=\mu \)
в. \( \frac{f_{1}}{f_{2}}=-1 \)
\( \mathbf{c} \cdot f_{1}=2 f_{2} \)
D. \( f_{2}=\mu f_{1} \)
Subject: Chemistry
Statues and painting coated with white
lead turn black on long exposure to atmosphere. The original color can be
restored by treating them with \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) The reason behind this is?
A. blackened statues get coated with \( P b S \) which on reaction with \( H_{2} O_{2} \) is oxidised to while \( P b S O_{4} \)
B. \( H_{2} O_{2} \) dissolves the coating of white lead and exposses the inner surface
c. White lead reacts with \( H_{2} O_{2} \) to form white \( P b S O_{4} \)
D. Blackened statues get coated with lead sulphate which reacts with \( H_{2} O_{2} \) to give \( P b S \).
Subject: Physics
Two identical glass \( \left(\mu_{g}=3 / 2\right) \)
equiconvex lenses of focal length \( f \) are
kept in contact. The space between the two lenses is filled with water \( \left(\mu_{w}=\right. \)
4/3). The focal length of the combination is
\( A \cdot f \)
в. \( \frac{f}{2} \)
c. \( \frac{4 f}{3} \)
D. \( \frac{3 f}{4} \)
Subject: Physics
Assertion
(A): Thermal radiations are
electromagnetic radiation with wave lengths greater than visible light.
Reason
(R): Thermal radiations can
propagate through vacuum.
A. both A and R are true and the R is correct explanation of the A
B. both A and R are true, but R is not correct explanation of the A
c. A is true, but the R is false.
D. A is false, but the R is true.
Subject: Maths
If \( f(x)=\max \left\{\sin x, \cos ^{-1} x\right\}, \) then
A. \( f \) is differentiable everywhere
B. \( f \) is continuous everywhere but not differentiable
C tis discountinuous at \( x=\frac{n \pi}{2}, n \in N \)
D. \( f \) is non-differentiable at \( x=\frac{n \pi}{2}, n \in N \)
Subject: Chemistry
For the galvanic cell :
\( \boldsymbol{A l}(\boldsymbol{s})\left|\boldsymbol{A} \boldsymbol{l}^{3+}(\boldsymbol{a} \boldsymbol{q})(\boldsymbol{0} \cdot \boldsymbol{1} \boldsymbol{M})\right| \boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a} \boldsymbol{q})(\boldsymbol{0} \cdot \boldsymbol{1} \boldsymbol{M}) \)
which of the following is/are correct? This question has multiple correct options
A. Reaction quotient \( Q=1.0 \times 10^{-2} \)
в. \( \log _{10} Q=2 \)
c. \( Q=1.0 \times 10^{3} \)
D. \( Q=1.0 \times 10^{2} \)
Subject: Physics
Consider a nuclear reaction \( \boldsymbol{A}+\boldsymbol{B} \rightarrow \)
C. A nucleus A moving with kinetic
energy of 5 MeV collides with a nucleus B moving with kinetic energy of 3 MeV and forms a nucleus \( C \) is excited state.
Find the kinetic energy of nucleus \( C \) just after its formation if it is formed in a state with excitation energy \( 10 \mathrm{MeV} \) Take masses of nuclei of \( A, B, \) and \( C \) as
25.0,10.0,34.995 amu, respectively. \( \left(1 a m u=930 M e V / c^{2}\right) \)
Subject: Chemistry
Air contains \( O_{2} \) and \( N_{2} \) in the ratio of
1:4. Calculate the ratio of solubilities in
terms of mole fraction of \( \boldsymbol{O}_{2} \) and \( \boldsymbol{N}_{2} \)
dissolved in water at atmospheric pressure and room temperature at
which Henry's constant for \( \boldsymbol{O}_{2} \) and \( \boldsymbol{N}_{2} \) are \( 3.30 \times 10^{7} \) torr and \( 6.60 \times 10^{7} \) tor
respectively.
Subject: Physics
Two concentric spheres kept in air have radii 'R' and 'r'. They have similar charge
and equal surface charge density ' \( \sigma \) '.
The electric potential at their common
centre is \( _{-}-\ldots_{0}= \) permittivity of free space)
A \( \cdot \frac{\sigma(R+r)}{\epsilon_{0}} \)
В. \( \frac{\sigma(R-r)}{\epsilon_{0}} \)
c. \( \frac{\sigma(R+r)}{2 \epsilon_{0}} \)
D. \( \frac{\sigma(R+r)}{4 \epsilon_{0}} \)
Subject: Maths
The number of ways of arranging the letters \( \boldsymbol{A A A A A}, B B B, C C C, D, E E \& \)
\( F \) in a row if no two \( ^{\prime} C^{\prime} s \) are together:
\( ^{\mathbf{A}} \cdot_{13} C_{3} \cdot \frac{12 !}{5 ! 3 ! 2 !} \)
в. \( \frac{13 !}{5 ! 3 ! 3 ! 2 !} \)
c. \( \frac{14 !}{5 ! 3 ! 2 !} \)
D. \( 11 . \frac{13 !}{6 !} \)
Subject: Physics
Find the area of the quadrilateral whose vertices are \( \boldsymbol{A}(\mathbf{1}, \mathbf{1}) \boldsymbol{B}(\mathbf{7},-\mathbf{3}), \boldsymbol{C}(\mathbf{1} \mathbf{2}, \mathbf{2}) \)
and \( D(7,21) \)
Subject: Physics
A body is dropped from a height \( h \)
number acceleration due to gravity \( \boldsymbol{g} \). If
\( t_{1} \) and \( t_{2} \) are time intervals for its fall for
first half and the second half distance,
the relation between them is :
в. \( t_{1}=2 t \)
c. \( _{t_{1}}=\frac{t_{2}}{\sqrt{2}-1} \)
D. \( t_{1}=4 t_{2} \)
Subject: Maths
Find the coefficient of \( \frac{1}{y^{2}} \) in \( \left(y+\frac{c}{y^{2}}\right)^{10} \)
A \( \cdot 210 c^{4} \)
B . \( 210 c^{5} \)
\( \mathbf{c} \cdot 120 c^{3} \)
D. \( 120 c^{4} \)
Subject: Chemistry
Calculate Vant Hoff factor for \( 0.2 m \)
aqueous solution of KCl which freezes
at \( -\mathbf{0 . 6 8 0}^{\circ} \mathbf{C} .\left(\boldsymbol{K}_{\boldsymbol{f}}=\mathbf{1 . 8 6} \mathbf{K} \mathbf{k g} \boldsymbol{m o l}^{-\mathbf{1}} \mathbf{)}\right. \)
A . 3.72
в. 1.83
\( c .6 .8 \)
D. 1.86
Subject: Biology
Assertion
The world population was around 2
billion in 1900 which has rocketed to
about 6 billion by 2000
Reason
Increase in longevity due to decline in
death rate, maternal mortality rate and infant mortality rate has been some
major causes of population explosion
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
A human body excretes certain material by a law similar to radioactivity. The body excretes half the amount injected in \( 24 h . \) Find the time in which activity
falls to \( 3 \mu C i . \) If a person is injected
technitium \( \left(t_{1 / 2}=6 h\right) \) and its activity just after the injection is \( 6 \mu C i \)
A. \( 4.8 h \)
в. \( 6 h \)
\( c \cdot 6.3 h \)
D. none of these
Subject: Maths
The interval(s) of decrease of of the
function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2} \log 2 \mathbf{7}- \)
\( 6 x \log 27+ \)
\( \left(3 x^{2}-18 x+24\right) \log \left(x^{2}-6 x+8\right) \) is
This question has multiple correct options
A \( \cdot(3-\sqrt{1+1 / 3 e}, 2) \)
B. \( (4,3+\sqrt{1+1 / 3 e}) \)
c. \( (3,4+\sqrt{1+1 / 3 e}) \)
D. none of these
Subject: Chemistry
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \)
Which of the following alternative is
correct?
\( \mathbf{A} \cdot \Delta H=\Delta U \)
в. \( \Delta H>\Delta U \)
c. \( \Delta H<\Delta U \)
D. \( \Delta \)Hand\DeltaU bear no relation with each other
Subject: Chemistry
Borax is actually made of two tetrahera
and two triangular units joined together
and should be written as:
\[
N a_{2}\left[B_{4} O_{5}(O H)_{4}\right] .8 H_{2} O
\]
Consider the following statements about borax.
This question has multiple correct options
A. Each boron atom has four \( B-O \) bonds
B. Each boron atom has three \( B-O \) bonds
C. Two boron atoms have four \( B-O \) bonds while other
two have three \( B-O \) bonds
D. Each boron atom has one \( -O H \) groups
Subject: Maths
Four forces of magnitude \( P, 2 P, 3 P \) and \( 4 P \) act along the four sides of a square ABCD in cyclic order. Use the vector method to find the resultant force.
A \( \cdot 2 \sqrt{2} P \)
В. \( 3 \sqrt{2} P \)
c. \( \sqrt{2} P \)
D. \( -2 \sqrt{2} P \)
Subject: Physics
Figure shows a surface with smooth
elevated ends PA and QB and a flat
rough surface \( A B \) of length L with variable coefficient of friction at
different positions A particle m is released from rest on surface PA at
height H from the ground The particle
climbs the surface \( \mathrm{BQ} \) once and finally
comes to rest at point A Find the
vertical height raised on surface BQ
\( \mathbf{A} \cdot 2 \mathbf{H} \)
B. H/2
\( c \cdot H \)
D. \( H / 3 \)
Subject: Physics
If in a series L-C-R ac circuit, the
voltages across \( L, C \) and \( R \) are \( V_{1}, V_{2} \)
and \( V_{3} \) respectively, then the voltage
of the source is always
A. equal to \( V_{1}+V_{2}+V_{3} \)
B. equal to \( V_{1}-V_{2}+V_{3} \)
c. more than \( V_{1}+V_{2}+V_{3} \)
D. none of the above is true
Subject: Chemistry
Select the correct I.U.P.A.C. name for \( \left[\left(\mathrm{C}_{6}\right.\right. \)
\( \left.\left.\mathrm{H}_{5}\right)_{3} \mathrm{P} C l \operatorname{Pd} \mathrm{Cl}_{2} \operatorname{Pd} C l\left(\mathrm{C}_{6} \mathrm{H}_{5}\right)_{3} \mathrm{P}\right] \)
This question has multiple correct options
A. Chloridotriphenylphosphinepalladiun (II) \( \mu \) -dich
oridochloridotriphenylphosphinepalladiun (II)
B. \( \mu \) -Dichloridodichloridobis(triphenylphosphinc)
dipalladium (II)
C . \( \mu \) -Dihloridobis( chloridotriphenylphosphinepallad
iun) (II)
D. Bis ( \( \mu \) -chloridochloridotriphenylphosphinepallad
iun) (II)
Subject: Chemistry
Assertion
In Rutherfourd's \( \alpha \) -particle scattering
experiment, most of the \( \alpha \) -particles
were deflected by nearly \( 18^{0} \)
Reason
The positive charge of the atom is spread throughout the atom that repelled and deflected the positively charged \( \alpha \) -particles.
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: Biology
Read the following fours statements toD) about chylomicrons?
A. Chylomicrons are produced in the lumen of small intestine
B. Chylomicron contains triglycerides, cholesterol and phospholipids
C. Chylomicron is protein free small vesicles
D. Chylomicron released from the lacteal\% into epithelial cells
How many of the above statements are
correct?
A. Four
B. One
c. Two
D. Three
Subject: Physics
A circular coil of 20 turns and \( 10 \mathrm{cm} \)
radius is placed in a uniform magnetic
field of \( 0.10 T \) normal to the plane of the
coil. If the current in the coil is \( 5 A \)
cross-sectional area is \( 10^{-5} m^{2} \) and coil
is made up of copper wire having free
electron density about \( 10^{29} m^{-3}, \) then the average force on each electron in
the coil due to magnetic field is.
\( \mathbf{A} \cdot 2.5 \times 10^{25} N \)
B . \( 5 \times 10^{25} N \)
C \( .4 \times 10^{25} N \)
D. \( 3 \times 10^{25} N \)
Subject: Chemistry
If \( 8 g \) mol of \( P C l_{5} \) heated in a closed vessel of \( 10 L \) capacity and \( 25 \% \) of its
dissociates into \( P C l_{3} \) and \( C l_{2} \) at the
equilibrium then value of \( \boldsymbol{K}_{\boldsymbol{p}} \) will be equal to:
A. \( P / 30 \)
в. \( P / 15 \)
c. \( 2 / 3 P \)
D. \( 3 / 2 P \)
Subject: Physics
If the potential energy of two molecules is give by, \( U=\frac{A}{r^{12}}-\frac{B}{r^{6}} \) then at
equilibrium position, its potential energy is equal to?
A \( \cdot \frac{A^{2}}{4 B} \)
B. \( -\frac{B^{2}}{4 A} \)
c. \( \left(\frac{2 A}{B}\right)^{\frac{1}{6}} \)
D. 3A
Subject: Maths
If \( |x|<1 \) then the coefficient of \( x^{n} \) in
expansion of \( \left(1+x+x^{2}+x^{3} \dots\right)^{2} \) is
\( A \)
B . \( n-1 \)
\( \mathbf{c} \cdot n+2 \)
\( \mathbf{D} \cdot n+1 \)
Subject: Physics
A man of mass \( 50 \mathrm{kg} \) falls freely from a height of \( 40 \mathrm{m} \) into a swimming pool and just come to rest at the bottom of the pool. Assume that the average upward force on the man due to water is \( 1000 \mathrm{N} . \) If depth of water in the pool is \( d \)
then \( \boldsymbol{d} \) is \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A. 20
B. \( 40 \mathrm{m} \)
\( c \cdot 10 m \)
\( D .5 \mathrm{m} \)
Subject: Chemistry
The rate constant of a first order
reaction at \( 25^{\circ} \mathrm{C} \) is \( 0.24 s^{-1} . \) If the
energy of activation of the reaction is
\( 88 k J \) mol \( ^{-1}, \) at what temperature
would this reaction have rate constant
of \( 4 \times 0^{-2} s^{-1} ? \)
Subject: Maths
A man from top of a 100 meters high towers sees a car moving towards the tower at an angle of depression of \( 30^{0} \) After some time, the angle of
depression becomes \( 60^{0} . \) The distance (in meters) travelled by the car during this time is
A. \( 100 \sqrt{3} \)
3
в. \( \frac{200 \sqrt{3}}{3} \)
c. \( \frac{100 \sqrt{3}}{3} \)
D. \( 200 \sqrt{3} \)
Subject: Biology
Q Type your question.
questions
(i) Label parts 1,2,3 and 4
(ii) State the reason for the high hydrostatic pressure in the glomerulus.
(iii) Name the blood vessel which
contains the least amount of urea in
this diagram.
(iv) Name the two main stages of urine
formation.
(v) Name the part of the nephron which
lies in the renal medulla.
Subject: Maths
\( \operatorname{Let} A=\left[\begin{array}{c}3 x^{2} \\ 1 \\ 6 x\end{array}\right], B=[a b c], \) and \( C= \)
\( \left[\begin{array}{ccc}(x+2)^{2} & 5 x^{2} & 2 x \\ 5 x^{2} & 2 x & (x+2)^{2} \\ 2 x & (x+2)^{2} & 5 x^{2}\end{array}\right] \)
three given matrices, where \( a, b, c \) and \( x \) \( \in \mathrm{R} . \) Given that \( \boldsymbol{t r}(\boldsymbol{A B})=\boldsymbol{t r}(\boldsymbol{C}) \boldsymbol{x} \in \boldsymbol{R} \)
where \( \operatorname{tr}(\mathrm{A}) \) denotes trace of \( \mathrm{A} \). If \( f(x)= \) \( a x^{2}+b x+c, \) then the value of \( f(1) \) is
Subject: Chemistry
The following synthesis can not be
carried out by:
This question has multiple correct options
\( \mathbf{A} \cdot \frac{C l_{2}}{(1)} \frac{I C l / C H_{3} C O O H}{(2)} \frac{I C l / C H_{3} C O O H}{(3)} \frac{Z n d u s t}{(4)} \)
\( \mathbf{B} \cdot \frac{H O B r / H^{+}}{(1)} \frac{C l_{2} / F e}{(2)} \frac{I C l / Z n C l_{2}(e x c e s s)}{(3)}, \frac{N a O H, \Delta}{(4)} \)
\( \mathbf{C} \cdot \frac{H O B r / H^{+}}{(1)} \frac{C l_{2} / F e}{(2)} \frac{I C l / Z n C l_{2}(e x c e s s)}{(3)} \frac{Z n d u s t, C H_{2} C O O H}{(4)} \)
\( \mathbf{D} \cdot \frac{B r_{2} / C H_{3} C O O H}{(1)} \underbrace{\frac{C l_{2} / F e}{(2)}} \frac{I C l / C H_{3} C O O H(\text {excess})}{(3)} \frac{N a N H_{2}}{(4)} \)
Subject: Maths
If \( \boldsymbol{x} \boldsymbol{\epsilon}[-1,0), \) then find the value of
\( \cos ^{-1}\left(2 x^{2}-1\right)-2 \sin ^{-1} x \)
\( \mathbf{A} \cdot-\pi / 2 \)
в. \( +\pi / 2 \)
c. \( -\pi \)
D. \( +\pi \)
Subject: Maths
The value of \( \lim _{x \rightarrow 2 a} \frac{\sqrt{x-2 a}+\sqrt{x}-\sqrt{2 a}}{\sqrt{x^{2}-4 a^{2}}} \)
is
A \( \cdot \frac{1}{\sqrt{a}} \)
B. \( \frac{1}{2 \sqrt{a}} \)
c. \( \frac{\sqrt{a}}{2} \)
D. \( 2 \sqrt{a} \)
Subject: Chemistry
0.2 molal acid \( H X \) is \( 20 \% \) ionised in
solution. \( \boldsymbol{K}_{\boldsymbol{f}}=\mathbf{1 . 8 6 K} \) molality \( ^{-1} \). The
freezing point of the solution is:
A. \( -0.45^{\circ} \mathrm{C} \)
B . \( -0.90^{\circ} \mathrm{C} \)
c. \( -0.31^{\circ} \mathrm{C} \)
D. \( -0.53^{\circ} \mathrm{C} \)
Subject: Physics
In Wheatstone's bridge the values of
resistors \( \mathrm{P} \) and \( \mathrm{Q} \) are respectively 3 and
x. If \( 4 \Omega \) and \( 2 \Omega \) are the values of
resistors \( \mathrm{R} \) and \( \mathrm{S} \) respectively, then \( \times \) is
\( A \)
B. 1.5
\( c \cdot 2.5 \)
\( D \cdot 2 \)
Subject: Chemistry
\( 480 m l \) of \( 1.5 M \) non-electrolyte solution is mixed with 520 ml of \( 1.2 ~ M \)
non-electrolyte solution. What is the molarity of the final mixture?
A . \( 2.70 M \)
в. 1.344 М
c. \( 1.50 M \)
D. \( 1.20 M \)
Subject: Biology
Which among the following statements is incorrect with regards to the features of population in India?
A. Birth rate per thousand is 20.97 as per Census 2011
B. According to Census 2011, the death rate per thousand stands at 7.48
C. As per Census 2011 , there are 940 females for every 1000 males
D. The density of population in India is 297 people per square kilometre
Subject: Maths
If \( a, b, c, d, e \) are five positive numbers
then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot\left(\frac{a}{b}+\frac{b}{c}\right)\left(\frac{c}{d}+\frac{d}{e}\right) \geq 4 \cdot \sqrt{\frac{a}{e}} \)
B \( \cdot\left(\frac{a}{b}+\frac{c}{d}\right)\left(\frac{b}{c}+\frac{d}{e}\right) \geq 4 \cdot \sqrt{\frac{a}{e}} \)
c. \( \frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{e}+\frac{e}{a} \geq 5 \)
D. \( \frac{b}{a}+\frac{c}{b}+\frac{d}{c}+\frac{e}{d}+\frac{a}{e} \geq \frac{1}{5} \)
Subject: Chemistry
Which glycosidic linkage is present in Maltose?
A \( \cdot \alpha-D-(+)-g l u \operatorname{cose}\left(C_{1}\right)-O-\left(C_{2}\right)-\beta-D- \)
\( (-)-g l u c o s e \)
B. \( \beta-D-(+)-g l u \operatorname{cose}\left(C_{1}\right)-O-\left(C_{4}\right)-D-(+)- \)
glucose
c. \( \alpha-D-(+)-g l u c o s e\left(C_{1}\right)-O-\left(C_{4}\right)-D-(+) \)
glucose
D. \( \beta-D-(+)-g l u \operatorname{cose}\left(C_{1}\right)-O-\left(C_{4}\right)-D-(-)- \)
glucose