AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In the given reaction,
\( \mathbf{2} \boldsymbol{K}_{\mathbf{4}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right](\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O}_{2}(\boldsymbol{a} \boldsymbol{q}) \longrightarrow \)
\( \mathbf{2} \boldsymbol{K}_{\mathbf{3}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right](\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{a} \boldsymbol{q}) \)
Which of the following processes takes place?
A. Oxidation due to removal of potassiummm
B. Oxidation due to removal of iron
c. Reduction due to removal of potassium
D. Oxidation due to removal of electronegative element
Subject: Physics
Four identical rods each of mass \( M \) are
joined to form as square frame, the moment of inertia of the system about one of the diagonals is
A. \( \frac{13 M l^{2}}{3} \)
в. \( \frac{2 M l^{2}}{3} \)
c. \( \frac{M l^{2}}{6} \)
D. \( \frac{13 M l^{2}}{6} \)
Subject: Physics
A dielectric slab fills the lower half of a
parallel plate capacitor as shown in
figure :
(Take plate are as \( \boldsymbol{A} \) )
This question has multiple correct options
A . equivalent capacity of the system is \( \left(\left(\varepsilon_{0} A / 2 d\right)(1+\right. \)
\( K) \)
B. the net charge of the lower half of the left hand plate is \( 1 / K \) times the charge on the upper half of the plate
C. net charges on the lower and upper halves of the left hand plate are different
D. net charge on the lower hand of the left hand plate is \( \frac{K \varepsilon_{0} A}{2 d} \times V \)
Subject: Chemistry
If a first order reaction is completed to the extent of \( 75 \% \) and \( 50 \% \) in time
interval, \( t_{1} \) and \( t_{2}, \) what is the ratio \( t_{1} \)
\( t_{2} ? \)
A . \( \ln 2 \)
B. \( \frac{\ln (3 / 4)}{\ln 2} \)
\( c \cdot 2 \)
D. \( 1 / 2 \)
Subject: Physics
A tennis ball has a mass of \( 56.7 g m \) and
is served by a player with a speed of 180kmph. The work done in serving the ball is nearly:
\begin{tabular}{l} 
A. 7105 \\
\hline
\end{tabular}
в. \( 71 J \)
\( \mathrm{c} .918 \mathrm{J} \)
D. \( 91.8 J \)
Subject: Physics
Two cells when connected in series are
balanced on \( 8 m \) on a potentiometer. If
the cells are connected with polarities of one of the cell is reversed, then they
balance on 2 m. The ratio of emf's of two
cells is
A .3: 4
B. 4: 3
\( c .3: 5 \)
D. 5: 3
Subject: Chemistry
Of the following, the wrong statement is:
A. the first ionization potential of \( A \) l is less than the first ionization potential of Mg.
B. the second ionization potential of Mg is greater than the second ionization potential of \( \mathrm{Na} \)
C. the first ionization potential of Na is less than the first ionization potential of Mg.
D. the third ionization potential of Mg is greater than the third ionization potential of Mg.
Subject: Physics
If \( x g \) of an element \( A \) contains \( \frac{y}{80} \) atoms and \( 2 x g \) of an element \( B \)
contains \( \frac{\boldsymbol{y}}{\mathbf{4} \mathbf{0}} \) atoms then the ratio of atomic weights of two elements \( A \) and
\( B \) is:
A . 1: 1
B. 1: 4
c. 4: 1
D. 2: 1
Subject: Maths
The solution of the differential equation \( \left(x+3 y^{2}\right) \frac{d y}{d x}=y, y>0 \) is
A \( \cdot \frac{x}{y}=3 y+c \)
B . \( x=2 y^{3}+3 y^{2}+c \)
c. \( y=3 x^{2}+c \)
D. \( y=3 x+c \)
Subject: Physics
The distance of the sun form the earth
is \( 1.5 \times 10^{11} \) and its diameter is \( 1.40 \times \)
\( 10^{9} m . \) The diameter of the image of the
sun formed by a lens of focal length \( 1 \boldsymbol{m} \)
is nearly:
A \( \cdot 1 \times 10^{-4} m \)
в. \( 1 \times 10^{-3} \mathrm{m} \)
c. \( 1 \times 10^{-2} m \)
D. \( 100 m \)
Subject: Chemistry
What concentration of \( \mathrm{CO} \) 2 be in
equilibrium with \( 0.025 \mathrm{M} \mathrm{CO} \) at \( 120^{\circ} \mathrm{C} \)
for the reaction
\( \boldsymbol{F e O}(\boldsymbol{s})+\boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{F} \boldsymbol{e}(\boldsymbol{s})+\boldsymbol{C O}_{2}(\boldsymbol{g}) \) if
the value of \( \boldsymbol{K}_{c}=\mathbf{5 . 0 ?} \)
A. 0.125
B. 0.0125 М
c. \( 1.25 \mathrm{M} \)
D. 12.5 M
Subject: Maths
Find the derivative of \( |x|+a_{0} x^{n}+ \)
\( \boldsymbol{a}_{1} \boldsymbol{x}^{\boldsymbol{n}-1}+\boldsymbol{a}_{2} \boldsymbol{x}^{\boldsymbol{n}-\boldsymbol{2}}+\ldots+\boldsymbol{a}_{\boldsymbol{n}-1} \boldsymbol{x}+\boldsymbol{a}_{\boldsymbol{n}} \)
A \( \cdot \frac{x}{|x|}+n a_{0} x^{n-1}+(n-1) a_{1} x^{n-2}+(n-2) a_{2} x^{n-3}+\ldots .+ \)
\( a_{n-1} \)
B \( \cdot 1+n a_{0} x^{n-1}+(n-1) a_{1} x^{n-2}+(n-2) a_{2} x^{n-3}+\ldots .+ \)
\( a_{n-1} \)
C \( \cdot \frac{x}{|x|}+n a_{0} x^{n-1}+(n-1) a_{1} x^{n-2}+(n-2) a_{2} x^{n-3}+\ldots .+ \)
\( a_{n} \)
D. None of these
Subject: Maths
In a hostel, \( 60 \% \) of the students read Hindi news paper, \( 40 \% \) read English
news paper and \( 20 \% \) read both Hindi
and English news papers. A student is selected at random.
(a) Find the probability that she reads neither Hindi nor English news papers.
(b) If she reads Hindi news paper, find the probability that she reads English
news paper
(c) If she reads English news paper, find the probability that she reads Hindi
news paper.
A \( .0 .56,0.78,0.76 \)
в. 0.20,0.33,0.50
\( c .0 .65,0.45,0.34 \)
D. 0.56,0.56,0.65
Subject: Chemistry
Assertion
Certain drugs are called enzyme inhibitors
Reason
Drugs block the binding site of the
enzyme and prevent the binding of
Substrate.
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 student uses a magnetic compass to
perform a laboratory experiment in the Northern Hemisphere. She then carries the same magnetic compass with her to the Southern Hemisphere, taking care not to damage the compass in any way. When she reaches her destination at the equivalent latitude and longitude in the Southern Hemisphere, she prepares to perform the same laboratory experiment. The student looks at the compass before performing the experiment to see if the compass needle has changed. How has the compass changed?
A. The compass needle points \( 90^{\circ} \) to the left of the expected direction
B. The compass needle points \( 90^{\circ} \) to the right of the expected direction
c. The compass needle slowly rotates in a counter clockwise direction
D. The compass needle slowly rotates in a clockwis tion
as been no he co
Subject: Physics
\( (n-1) \) equal point masses each of
mass \( m \) are placed at the vertices of a regular n-polygon. The vacant vertex has a position vector a with respect to the centre of the polygon. Find the position vector of centre of mass
A \( \cdot-\frac{a}{n-1} \)
в. \( -\frac{a^{2}}{n-1} \)
c. \( -\frac{a}{(n-1)^{2}} \)
D. \( -\frac{3 a}{2 n-1} \)
Subject: Physics
A cube has a side of length \( 1.2 \times \)
\( 10^{-2} m . \) Calculate its volume.
A \( .1 .7 \times 10^{-6} m^{3} \)
В. \( 1.73 \times 10^{-6} m^{3} \)
D. \( 1.732 \times 10^{-6} m^{3} \)
Subject: Physics
Water gas is a mixture of -
A \( \cdot C O_{2} \) and \( O_{2} \)
в. \( O_{2} \) and \( H_{2} \)
c. \( H_{2}, N_{2} \) and \( O_{2} \)
D. \( C O, N_{2} \) and \( H_{2} \)
Subject: Maths
If vectors \( (x-2) \vec{a}+\vec{b} \) and
\( (2 x+1) \vec{a}-\vec{b} \) are parallel then \( x \)
A \( \cdot 1 / 3 \)
B. 3
\( c \cdot-3 \)
D. \( -1 / 3 \)
Subject: Physics
A positive point charge q is carried from a point B to a point A in the electric field of a point charge \( +\mathrm{Q} \) held at \( 0 . \) If the
permittivity of free space is \( \epsilon_{0} \) and \( 0 A=a \) and \( 0 \mathrm{B}=\mathrm{b}, \) the work done in the process is given by :
A. \( \frac{q Q}{4 \pi \epsilon_{0}}\left(\frac{1}{a}+\frac{1}{b}\right) \)
в. \( \frac{q Q}{4 \pi \epsilon_{0}}\left(\frac{1}{a}-\frac{1}{b}\right) \)
c. \( \frac{q Q}{4 \pi \epsilon_{0}}\left(\frac{1}{a^{2}}-\frac{1}{b^{2}}\right) \)
D. \( \frac{q Q}{4 \pi \epsilon_{0}}\left(\frac{1}{a^{2}}+\frac{1}{b^{2}}\right) \)
Subject: Maths
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{4}+\boldsymbol{2} \boldsymbol{x}^{3}-\boldsymbol{2} \boldsymbol{x}^{2}+\boldsymbol{x}-\mathbf{1} \) and
\( \boldsymbol{q}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}-\boldsymbol{3} \)
Then \( p(x) \) is divisible by \( q(x), \) if we
A. Add \( (x-2) \)
B. Add \( (x-3) \)
c. Add \( (2-x) \)
D. Add \( (3-x) \)
Subject: Maths
If \( A \) and \( B \) are two square matrices such
that \( B=-A^{-1} B A, \) then \( (A+B)^{2} \) is
equal to
\( \mathbf{A} \cdot A^{2}+B^{2} \)
в. \( O \)
c. \( A^{2}+2 A B+B^{2} \)
D. \( A+B \)
Subject: Maths
If \( \int 2^{2 x} \cdot 2^{x} d x=A \cdot 2^{2^{x}}+c, \) then \( A=? \)
A \( \cdot \frac{1}{\log 2} \)
в. \( \log 2 \)
c. \( (\log 2)^{2} \)
D. \( \frac{1}{(\log 2)^{2}} \)
Subject: Maths
Show that the function \( \boldsymbol{f}: \boldsymbol{R}_{*} \rightarrow \boldsymbol{R}_{*} \)
defined by \( f(x)=\frac{1}{x} \) is one-one, where
\( R_{*} \) is the set of all non-zero real
numbers. Is the result true, if the
domain \( R_{*} \) is replaced by \( N \) with \( c 0 \)
domain being same as \( R_{*} ? \)
Subject: Physics
A very long magnet of pole strength \( 4 A m \) is placed vertically with its one pole on the table. The distance from the pole, the
neutral point will be formed is :
\( \left(B_{H}=4 \times 10^{-5} T\right) \)
A. \( 0.5 m \)
в. \( 0.1 m \)
c. \( 0.15 m \)
D. \( 0.2 m \)
Subject: Physics
coils which lie in a uniform magnetic
field. Plane of the coils is perpendicular
to the magnetic field as shown in figure.
The coil is connected to a current
integrator which measures the total
charge passing through it. The coil is
turned through \( 180^{\circ} \) about the
diameter. The charge passing through the coil is
\( ^{\mathbf{A}} \cdot \frac{N B A}{R} \)
B. \( \frac{\sqrt{3} N B A}{2 R} \)
c. \( \frac{N B A}{\sqrt{2} R} \)
D. \( \frac{2 N B A}{R} \)
Subject: Physics
Bulk modulus of water is \( 2 \times 10^{9} N / m^{2} \)
The change in pressure required to increase the density of water by \( 0.1 \% \) is.
A \( \cdot 2 \times 10^{9} N / m^{2} \)
B . \( 2 \times 10^{8} N / m^{2} \)
c. \( 2 \times 10^{6} N / m^{2} \)
D. \( 2 \times 10^{4} N / m^{2} \)
Subject: Maths
A plane mirror is placed at the origin so that the direction ratios of its normal
\( \operatorname{are}(1,-1,1) . \) A ray of light, coming along the positive direction of the \( x \) axis, strikes the mirror. The direction \( \operatorname{cosines} \) of the reflected ray are
A \( \cdot \frac{1}{3}, \frac{2}{3}, \frac{2}{3} \)
B. \( -\frac{1}{3}, \frac{2}{3}, \frac{2}{3} \)
c. \( -\frac{1}{3},-\frac{2}{3},-\frac{2}{3} \)
D. \( -\frac{1}{3},-\frac{2}{3}, \frac{2}{3} \)
Subject: Physics
In Thomson's experiment, a magnetic field of induction \( 10^{-2} w b / m^{2} \) is used
For an undeflected beam of cathode
rays, a Potential Difference of \( 500 V \) is
applied between the plates which are \( 0.5 c m \) apart. Then the velocity of the cathode ray beam is \( \mathrm{m} / \mathrm{s} \)
A \( \cdot 4 \times 10^{7} \)
B . \( 2 \times 10^{7} \)
c. \( 2 \times 10^{8} \)
D. \( 10^{7} \)
Subject: Maths
The area bounded by the line \( x=1 \) and the curve \( \sqrt{\frac{\boldsymbol{y}}{\boldsymbol{x}}}+\sqrt{\frac{\boldsymbol{x}}{\boldsymbol{y}}}=\mathbf{4} \) is
A \( .2 \sqrt{3} \)
B. \( \sqrt{3} \)
c. \( 3 \sqrt{2} \)
D. \( 4 \sqrt{3} \)
Subject: Biology
Assertion
Chlorofluorocarbons are responsible for
ozone depletion.
Reason
Ozone level decreases by as much as
\( 67 \% \) every year.
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
answer the question. A student in 1895 prepared three
coordination compounds containing chromium with the following properties:
\( C l^{-} \) ions \( \begin{array}{ll}\text { Formula } & \text { Colour } \\ & \text { in } \\ & \text { solution } \\ & \text { per } \\ & \text { formula } \\ & \text { units }\end{array} \)
(A) \( \mathrm{CrCl}_{3} \cdot 6 \mathrm{H}_{2} \mathrm{O} \quad \) violet 3
(B) \( ^{C r} C_{3,6 H_{2} O} / \begin{array}{l}\operatorname{ligh}_{\operatorname{gre} n} \\ 2\end{array} \)
\( (C) \)
\( \mathrm{CrCl}_{3} .6 \mathrm{H}_{2} \mathrm{O} \quad \begin{array}{l}\text { Dark } \\ \text { green }\end{array} \)
IUPAC name of the complex \( A \) is
A. Hexaaquatrichlorochromium(III)
B. Hexaaquachromium(III) chloride.
C. Pentaaquachlorochromium(III) chloride.
D. Tetraaquadichlorochromium(III) chloride
Subject: Chemistry
Select the correct reaction(s) for \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
This question has multiple correct options
A. \( A g_{2} O+H_{2} O_{2} \rightarrow 2 A g+H_{2} O+O_{2} \)
в. \( C l_{2}+H_{2} O_{2} \rightarrow 2 H C l+O_{2} \)
c. \( O_{2}+H_{2} O_{2} \rightarrow H_{2} O+2 O_{2} \)
D. \( H_{2} O_{2}+2 K I \rightarrow 2 K O H+I_{2} \)
Subject: Chemistry
Assertion
Statement-1: Oxyacids of group VI A
elements : \( \boldsymbol{H}_{2} \boldsymbol{S O} \boldsymbol{4}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{e} \boldsymbol{O}_{4}, \boldsymbol{H}_{6} \boldsymbol{T} \boldsymbol{e} \boldsymbol{O}_{6} \)
Reason
Statement-2: The lighter member
where \( \boldsymbol{O}(\boldsymbol{2} \boldsymbol{p}) \rightarrow \boldsymbol{X}(\boldsymbol{3} \boldsymbol{d}, \boldsymbol{4} \boldsymbol{d}) \boldsymbol{\pi} \) bonding
is significant forms strong \( \pi- \) bonds
to give \( \boldsymbol{X} \boldsymbol{O}_{4}^{2-} \)
A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-
B. Statement-1 is true, statement-2 is true and statement-2 is not the correct explanation for statement-1
c. Statement-1 is true, statement-2 is false.
D. Statement-1 is false, statement-2 is true.
Subject: Chemistry
Arrange following compounds according to their reactivity with alc silver nitrate.
A. \( C C l_{4} \) > tert-Butyl chloride \( > \) sec- butyl chloride > nbutyl chloride
B. n- butyl chloride > sec- butyl chloride > tert-Butyl chloride \( >C C l \)
c. tert-Butyl chloride < sec -butyl chloride <n -buty chloride \( <C C l \)
D. tert-Butyl chloride > sec -butyl chloride >n- buty chloride \( >C C l_{4} \)
Subject: Chemistry
Conjugate base of a weak acid has \( \boldsymbol{K}_{b}=\mathbf{1 0}^{-9} . \) The equilibrium constant
for the reaction of acid with strong base is:
\( \mathbf{A} \cdot 10^{-19} \)
B . \( 10^{-3} \)
\( c \cdot 10^{9} \)
D. \( 10^{5} \)
Subject: Maths
The number of ways in which 6 Boys and 5 Girls can sit in a row so that all the
girls may be together is
A . \( 6 ! \times 5 ! \)
B . \( 6 !^{7} P_{5} \)
c. \( (6 !)^{2} \)
D. \( 7 ! \times 5 ! \)
Subject: Physics
In a meter bridge experiment, the ratio of the left gap resistance to right gap resistance is \( 2: 3, \) the balance point
from left is?
\( \mathbf{A} \cdot 60 \mathrm{cm} \)
B. \( 50 \mathrm{cm} \)
c. \( 40 \mathrm{cm} \)
D. \( 20 \mathrm{cm} \)
Subject: Physics
The electric field intensity at a point near and outside the surface of a
charged conductor of any shape is ' \( \boldsymbol{E}_{1} \) :
The electric field intensity due to uniformly charged infinite thin plane
sheet is ' \( E_{2} \) '. The relation between ' \( E_{1} \) ?
and ' \( \boldsymbol{E}_{2} \) ' is :
A \( \cdot 2 E_{1}=E_{2} \)
в. \( E_{1}=E_{2} \)
\( \mathbf{c} \cdot E_{1}=2 E_{2} \)
D. \( E_{1}=4 E_{2} \)
Subject: Physics
Find the electric field at \( z<-\mathbf{0 . 5 d} \)
\( \mathbf{A} \cdot E=0 \)
B \( \cdot E=-\frac{\sigma}{\epsilon_{0}} \hat{k} \)
\( \mathbf{c} \cdot E=\frac{\sigma}{\epsilon_{0}} \hat{k} \)
D. \( E=\frac{\sigma}{2 \epsilon_{0}} \hat{k} \)
Subject: Maths
Assertion
Water dropped at the rate of \( 2 m^{3} / \) sec in
to a cone of semi-vertical angle of \( 45^{0} \) The rate at which periphery of the water surface changes with height of water in the cone of \( 2 m \) is \( 2 m / s e c \)
Reason
The rate of change of periphery of water surface is \( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{t}}(\boldsymbol{2} \boldsymbol{\pi} \boldsymbol{r}) \)
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 false but Reason is correct
Subject: Chemistry
Which of the following pairs of ions are isoelectronic as well as isostructural?
A \( \cdot C l O^{-}, S O_{2}^{-4} \)
в. \( \operatorname{ClO}_{3}^{-2}, \operatorname{SO}_{4}^{-2} \)
\( \mathrm{c} \cdot \mathrm{ClO}_{3}^{-}, \mathrm{NO}_{3}^{-} \)
D. \( S O_{4}^{2-}, P O_{4}^{3} \)
Subject: Physics
A simple pendulum is oscillating with
amplitude \( A \) and angular frequency \( \omega \)
At displacement \( x \) from mean position,
the ratio of kinetic energy to potential energy is
A \( \cdot \frac{x^{2}}{A^{2}-x^{2}} \)
B. \( \frac{x^{2}-A^{2}}{x^{2}} \)
c. \( \frac{A^{2}-x^{2}}{x^{2}} \)
D. \( \frac{A-x}{x} \)
Subject: Physics
The half-life of a radio-isotope is \( 4 h r . \) If
initial mass of the isotope was \( 200 g \), then mass remaining after \( 24 h r \) will be
A . \( 1.042 g \)
в. \( 2.084 g \)
c. \( 3.125 g \)
D. \( 4.167 g \)
Subject: Chemistry
The hydrolysis constant for the reaction \( A l^{3+}+H_{2} O \rightleftharpoons A l(O H)^{2+}+H^{+} \) is
\( 1.7 \times 10^{-10}, \) what is \( \left[H^{+}\right] \) in \( 0.1 M \)
\( A l C l_{3} \) solution?
A \( \cdot 4.00 \times 10^{-6} M \)
В. \( 4.28 \times 10^{-6} \) М
c. \( 4.12 \times 10^{-6} \) М
D. None of these
Subject: Chemistry
The empirical formula of an organic
compound is \( C H_{2} O . \) Its vapour density
is \( 45 . \) The molecular formula of the
compound is:
A \( \cdot C_{2} O \)
в. \( C_{2} H_{4} O_{2} \)
\( \mathbf{c} \cdot C_{3} H_{6} O_{3} \)
D. \( C_{6} H_{12} O_{6} \)
Subject: Maths
If \( \boldsymbol{A}=\left(\begin{array}{lll}1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right) \)
If \( A^{2}-4 A=p I \) where \( I \) and \( O \) are the
unit matrix and the null matrix of order
3 respectively. Find the value of \( p \)
A. \( p=2 \)
в. \( p=3 \)
\( \mathbf{c} \cdot p=4 \)
D. \( p=5 \)
Subject: Chemistry
Calculate the volume of \( C O_{2} \) evolved by
the combustion of \( 50 \mathrm{ml} \) of a mixture
containing 40 per \( C_{2} H_{4} \) and 60 per
\( \boldsymbol{C H}_{4} \) (by volume)
\( \mathbf{A} \cdot 70 \mathrm{ml} \)
B. \( 75 \mathrm{ml} \)
c. \( 80 \mathrm{ml} \)
\( \mathbf{D} \cdot 82 \mathrm{m} \)
Subject: Physics
Ideal fluid flows along a flat tube of constant cross-section, located in a
horizontal plane and bent as shown in figure above (top view). The flow is steady. Are the velocities of the
fluid equal at points 1 and \( 2 ? \)
A. Velocity at point 1 is less than velocity at point 2
B. Velocity at point 1 is more than velocity at point 2
c. velocity at point 1 is equal to velocity at point 2
D. can't be determined
Subject: Chemistry
Assertion
Group 2 metals have higher melting points when compared to the group 1
metals.
Reason
+2 charge on the cations in the metallic
lattice causes them to be more strongly
attracted to the sea of electrons and
making it difficult to pull them apart.
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
Which of the following arrangement of bond dissociation enthalpy of halogens is correct?
A. \( F-F>C l-C l>B r-B r \)
В. \( F-F<C l-C l<B r-B r \)
c. \( F-F>C l-C l<B r-B r \)
D. \( F-F<C l-C l>B r-B r \)
Subject: Maths
Roll a fair die twice. Let \( A \) be the even
that the sum of the two rolls equals six,
and let \( B \) be the even that the same
number comes up twice. What is \( \boldsymbol{P}(\boldsymbol{A} / \boldsymbol{B}) ? \)
A \( \cdot \frac{1}{6} \)
в. \( \frac{5}{6} \)
\( c \cdot \frac{1}{5} \)
D. none of these
Subject: Physics
Light from a point source in air falls on a spherical glass surface whose radius of curvature and refractive index are 20
\( \mathrm{cm} \) and 1.5 respectively. If the distance of light source from the glass surface is \( 100 \mathrm{cm}, \) then at which position image will be formed?
\( A \cdot 25 \mathrm{cm} \)
B. 50 \( \mathrm{cm} \)
\( c .100 \mathrm{cm} \)
D. 200 cm
Subject: Biology
Study the following statements regarding food chains and select the
correct ones.
(i) Removal of \( 80 \% \) tigers from an area resulted in greatly increased growth of vegetation.
(ii) Removal of most of the carnivores
resulted in an increased population of deers.
(iii) The length of food chains is generally limited to \( 3-4 \) trophic levels
due to energy loss.
(iv) The length of food chains may vary from 2 to 8 trophic levels.
\( A \cdot \) (i) and (ii)
B. (ii) and (iii)
c. (i) and (iii)
D. (iii) and (iv)
Subject: Physics
A particle starts from rest from the top
of an inclined plane and reaches the
bottom most point again at rest. If the
coefficient of friction on some part of
the inclined plane is \( 3 \tan \theta \) and the remaining portion is smooth, the ratio of the length of the rough part is \( \frac{4}{x} \) times the length of the smooth part. Then, \( x \) is \( (\theta \text { is the plane angle }) \)
Subject: Maths
A pair of linear equations in two
variables \( x \) and \( y \) is \( a_{1} x+b_{1} y+c_{1}=0 \)
and \( a_{2} x+b_{2} y+c_{2}=0, \) such that
\( \frac{a_{1}}{a_{2}} \neq \frac{c_{1}}{c_{2}}, \) then it has
A. Unique solution
B. No solution
c. Infinitely many solutions
D. Can't say
Subject: Chemistry
Solid \( C O_{2} \) is known as dry ice because:
\( \mathbf{A} \cdot \) it melts at \( 0^{\circ} C \)
B. its b.p. is more than \( 199^{\circ} \mathrm{C} \)
C . it evaporates at \( -78^{\circ} \mathrm{C} \) without melting
D. none of the above
Subject: Maths
There are 44 students in class \( X \) of \( a \)
school of whom 32 are boys and 12 are girls. The class teacher has to select one student as a class representative. He writes the name of each student on a
separate card, the cards being identical. Then he puts cards in a bag
and stir them thoroughly. He then draws one card from the bag. What is the probability that the name written on the card is the name of a girl?
A \( \cdot \frac{1}{11} \)
B. \( \frac{5}{11} \)
\( c \cdot \frac{7}{11} \)
D. None of these
Subject: Maths
If \( \mathbf{p}_{1}, \mathbf{p}_{2}, \mathbf{p}_{3} \) are the principal values of following trigonometric equations \( \sin \theta=-\frac{1}{\sqrt{2}} \)
2) \( \cos \theta=-\frac{\sqrt{3}}{2} \)
3) \( \tan \theta=\sqrt{3}-2 \)
A. \( p_{1}<p_{2}<p_{3} \)
в. \( p_{1}<p_{3}<p_{2} \)
c. \( p_{3}<p_{1}<p_{2} \)
D . \( p_{2}<p_{3}<p_{1} \)
Subject: Chemistry
In the reaction \( C_{7} H_{8} \frac{3 C l_{2} / \Delta}{\longrightarrow} X \frac{B r_{2} / F e}{ } \)
\( \boldsymbol{Y} \stackrel{Z n / \boldsymbol{H} C l}{\longrightarrow} \boldsymbol{Z} \)
The compound \( Z \) is :
A. o-bromotoluene
B. m-bromotoluene
c. p-bromotoluene
D. 3-bromo-2, 2, 6-trichlorotoluene
Subject: Chemistry
f \( 1.0 k \) cal of heat is added to \( 1.2 L \) of \( O_{2} \)
in a cylinder at constant pressure of 1 atm, the volume increase to \( 1.5 L \)
Calculate \( \Delta U \) and \( \Delta H \) of the process
\( (1 L-a t m=100 J) \)
Subject: Maths
Let \( A, B, C, D, E \) be the interior angles of
convex pentagon and \( \boldsymbol{\Delta}=\left|\begin{array}{ccc}\cos \boldsymbol{A} & \sin \boldsymbol{A} & \sin (\boldsymbol{A}+\boldsymbol{D}+\boldsymbol{E}) \\ \cos \boldsymbol{B} & \sin \boldsymbol{B} & \sin (\boldsymbol{B}+\boldsymbol{D}+\boldsymbol{E}) \\ \cos \boldsymbol{C} & \sin \boldsymbol{C} & \sin (\boldsymbol{C}+\boldsymbol{D}+\boldsymbol{E})\end{array}\right| \)
find \( \Delta(\pi / 3)+\Delta^{\prime}(\pi / 6) \)