AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( T_{r} \) denotes the \( r^{t h} \) term in the
expansion of \( \left(x+\frac{1}{x}\right)^{23}, \) then
\( \mathbf{A} \cdot T_{12}=T_{13} \)
В . \( x^{2} . T_{13}=T_{12} \)
c. \( x^{2} . T_{12}=T_{13} \)
D. \( T_{12}+T_{13}=25 \)
Subject: Chemistry
In the reaction sequence, \( C_{2} H_{5} C l+ \) \( K C N \stackrel{C_{2} H_{5} O H}{\longrightarrow} X \frac{H_{3} O \oplus}{\Delta} Y, \) what is the
molecular formula of Y?
\( \mathbf{A} \cdot C_{3} H_{6} O_{2} \)
в. \( C_{3} H_{5} N \)
c. \( C_{2} H_{4} O_{2} \)
D. \( C_{2} H_{6} O \)
Subject: Maths
For \( \boldsymbol{a} \in[\boldsymbol{\pi}, \boldsymbol{2} \boldsymbol{\pi}] \) and \( \boldsymbol{n} \in \boldsymbol{Z}, \) the critical
points of \( \boldsymbol{f}(\boldsymbol{x})=\frac{1}{\mathbf{3}} \sin \boldsymbol{a} \tan ^{3} \boldsymbol{x}+ \)
\( (\sin a-1) \tan x+\sqrt{\frac{a-2}{8-a}} \) are
A . \( x=n \pi \)
B. \( x=2 n \pi \)
c. \( x=(2 n+1) \pi \)
D. None of these
Subject: Maths
\( \tan \left(\cos ^{-1} x\right) \) is equal to
A \( \cdot \frac{x}{1+x^{2}} \)
B. \( \frac{\sqrt{1+x^{2}}}{x} \)
c. \( \frac{\sqrt{1-x^{2}}}{x} \)
D. \( \sqrt{1-2 x} \)
Subject: Physics
Q Type your question
surface as shown in the figure. The bottom of the container is square shaped of side \( \sqrt{3} m \) and its top is open
There is a very small hole in the vertical wall of the container near the bottom. A
small cap closes the hole. The hole gets opened when pressure near the bottom becomes more than \( 4 \times 10^{4} \) pascal.
(a) What minimum acceleration can be
given to the container in the positive
\( x- \) direction so that the cap will came
out of the hole? Assume water dose not
spill out of container when the
container accelerates.
(b) Find the velocity of efflux as soon as
the container starts moving with the
acceleration calculate in part (a) of the
question.
Subject: Maths
Let \( f(x)=x+\frac{1}{2} . \) Then, the number of
real values of \( x \) for which the three
unequal terms \( \boldsymbol{f}(\boldsymbol{x}), \boldsymbol{f}(\mathbf{2} \boldsymbol{x}), \boldsymbol{f}(\boldsymbol{4} \boldsymbol{x}) \) are
in HP is
A . 1
B.
\( c .3 \)
D.
Subject: Maths
Let \( n \) be a positive integer such that
\( \left(1+x+x^{2}\right)^{n}=a_{0}+a_{1} x+a_{2} x^{2}+ \)
\( \ldots+a_{2 n} x^{2 n}, \) then \( a_{r}= \)
В \( \cdot a_{2 n} ; 0 \leq r \leq 2 n \)
D. None of these
Subject: Chemistry
The electron configuration for potassium in the ground state:
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} \)
B . \( 1 s^{2} 2 s^{2} p^{6} 3 s^{2} 3 p^{6} 4 s^{2} \)
C \( \cdot 1 s^{2} 2 s^{2} p^{6} 3 s^{2} 3 p^{6} 4 s^{1} \)
D. \( 1 s^{2} \)
E \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 p^{1} \)
Subject: Chemistry
For the reaction
\( \mathbf{2} \boldsymbol{A}+\boldsymbol{B} \rightleftharpoons \mathbf{3} \boldsymbol{C} \) at \( \mathbf{2} \mathbf{9 8} \boldsymbol{K}, \boldsymbol{K}_{\boldsymbol{c}}=\mathbf{4 9} \)
A \( 3 L \) vessel contains 2,1 and 3 moles of
\( A, B \) and \( C \) respectively. The reaction at
the same temperature:
A. must proceed in forward direction
B. must proceed in backward direction
c. must be in equilibrium
D. cannot be predicted
Subject: Chemistry
The following equation represents a method of purification of nickel by:
\( N i(\text {impure})+4 C O \stackrel{320 K}{\longrightarrow} \)
\( N i(C O)_{4} \stackrel{420 K}{\longrightarrow} N i(\text {pure})+4 C O \)
A. Cupellation
B. Mond's process
c. van Arkel method
D. zone refining
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\operatorname{cosec}^{-1}\left[1+\sin ^{2} \boldsymbol{x}\right], \) where
[.] denotes the greatest integer function
Then \( f(x) \) equals;
\( ^{A} \cdot\left\{\frac{\pi}{2}\right\} \)
В \( \cdot\left\{\frac{\pi}{2}, \operatorname{cosec}^{-1} 2\right\} \)
c. \( \left\{\operatorname{cosec}^{-1} 2\right\} \)
D. none of these
Subject: Physics
The charge flowing through a resistor \( \boldsymbol{R} \)
varies with time \( t \) as \( Q=3 t-6 t^{2} . \) The
heat produced in \( \boldsymbol{R} \) till the current in it becomes zero is
A \( \cdot \frac{3 R}{4} \)
в. \( \frac{3 R}{2} \)
c. \( \frac{4 R}{2} \)
D. \( \frac{9 R}{2} \)
Subject: Chemistry
The specific conductance of a solution is \( 0.3568(o h m)^{-1} \mathrm{cm}^{-1} \mathrm{When} \) placed in a cell
the conductance is 0.0268 oh \( m^{-1} \)
The cell constant is:
A \( \cdot 1.331 \mathrm{cm}^{-1} \)
B. \( 13.31 c m^{-1} \)
\( \mathbf{c} \cdot 0665 \mathrm{cm}^{-1} \)
D. \( 6.65 \mathrm{cm}^{-1} \)
Subject: Maths
Consider the equation:
\( \boldsymbol{y}+\mathbf{7} \boldsymbol{x}=\mathbf{3} \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{2 8} \)
f \( \boldsymbol{y}=\mathbf{2}, \) what is the value of \( \boldsymbol{x} \) ?
\( \mathbf{A} \cdot \mathbf{5} \)
B. 5.5
\( c \cdot 6 \)
D. 6.5
Subject: Physics
If two thin lenses of focal length \( f_{1} \) and
\( f_{2} \) are kept in contact to each other then the equivalent focal length of the combination
A. \( \frac{f_{1} f_{2}}{f_{1}+f_{2}} \)
в. \( \frac{f_{1} f_{2}}{f_{1}-f_{2}} \)
c. \( \frac{f_{1}+f_{2}}{f_{1} f_{2}} \)
D. \( \frac{f_{1}-f_{2}}{f_{1} f_{2}} \)
Subject: Chemistry
If \( 200 \mathrm{ml} \) solution of \( 0.5 \mathrm{M} \) NaOH is
diluted to \( 800 \mathrm{ml} \) then find molarity of
resultant solution.
A. 0.250 М
в. 0.125 м
c. 0.225 м
D. \( 0.4 \mathrm{M} \)
Subject: Chemistry
A graph was plotted between
molar conductivity of various
electrolytes
\( \left(\begin{array}{lll}\text { NaCl, } & \text { HCl } & \text { and } & \text { NH }\left._{\mathbf{4}} \text { OH }\right) \text { and }\end{array}\right. \)
\( \sqrt{\boldsymbol{C}}\left(\text { in } \quad \boldsymbol{m o l} \boldsymbol{L}^{-1}\right) \). correct set is:
A \( \cdot I(N a C l), I I(H C l), I I I\left(N H_{4} O H\right) \)
B \cdot \( I(H C l), I I(N a C l), I I I\left(N H_{4} O H\right) \)
c. \( _{I\left(N H_{4} O H\right), I I(N a C l), I I I(H C l)} \)
D - \( _{I}\left(N H_{4} O H\right), I I(H C l), I I I(N a C l) \)
Subject: Physics
One end of a uniform rope of length and of weight \( w \) is attached rigidly to a
point in the roof and a weight \( \mathbf{w}_{1} \) is suspended from its lower. If s is the area
of cross-section of the wire, the stress in the wire at a height \( \frac{3 L}{4} \) from its lower end is:
A \( \cdot \frac{w}{s} \)
B. \( \frac{w_{1}+\frac{w}{4}}{s} \)
c. \( \underbrace{w_{1}+\frac{2 w}{4}}_{s} \)
D. \( \frac{w_{1}+w}{s} \)
Subject: Physics
q.1 A block is released from rest from a height \( h=5 \) m. After traveling through the smooth curved surface it moves on
the rough horizontal surface through
length \( I=8 \mathrm{m} \) and climb onto the other
smooth curved surface through a height
h. If \( \mu=0.5, \) find \( h \)
\( A \cdot 2 m \)
в. 3
\( c \cdot 1 m \)
D. zero
Subject: Chemistry
One atmosphere is numerically equal to approximately:
\( \begin{array}{lll}\text { A } \cdot 10^{6} & \text { dyne } & c m^{-2}\end{array} \)
B. \( 10^{2} \) dyne \( c m^{-2} \)
D. \( 10^{8} \) dyne \( c m^{-2} \)
Subject: Chemistry
Choose the correct option from the following:
A. In the electrophilic substitution of toluene with \( B r_{2} \) iron (III) bromide acts as a Lewis acid.
B. In the reaction of toluene with \( C l_{2} / F e C l_{3} \), ortho and para isomers are easily separated.
C. Similar reaction with iodine is reversible in nature
D. All of these
Subject: Maths
Let \( A_{1}, G_{1} \) and \( H_{1} \) denote the
arithmetic, geometric and harmonic
means respectively of two distinct
positive numbers. For \( n \geq 2, \) let \( A_{n-1} \)
and \( H_{n-1} \) have arithmetic, geometric
and harmonic means as \( \boldsymbol{A}_{n}, \boldsymbol{G}_{n}, \boldsymbol{H}_{n} \)
respectively. Which of the following statements is
correct?
\( \mathbf{A} \cdot A_{1}>A_{2}>A_{3}>\dots \)
B . \( A_{1}<A_{2}<A_{3}<\dots . . . \)
C \( \cdot A_{1}>A_{3}>A_{5} \ldots \) and \( A_{2}<A_{4}<A_{6}<\ldots \)
D. \( A_{1}<A_{3}<A_{5}<\ldots . . \) and \( A_{2}>A_{4}>A_{6}>\ldots . \)
Subject: Maths
From a circular card sheet of radius 14
\( \mathrm{cm}, \) two circles of radius \( 3.5 \mathrm{cm} \) and \( \mathrm{a} \) rectangle of length \( 3 \mathrm{cm} \) and breadth 1 \( \mathrm{cm} \) are removed.(as shown in the
adjoining figure). Find the area of the emaining sheet. \( \left(\text { Take } \pi=\frac{22}{7}\right) \)
Subject: Chemistry
Write the following equation in ionic form:
a) \( M n O_{2}+4 H C l \rightarrow M n C l_{2}+ \)
\( \mathbf{2} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}+\boldsymbol{C} \boldsymbol{l}_{\mathbf{2}} \)
b) \( 2 N a H C O_{3}+H_{2} S O_{4} \rightarrow \)
\( N a_{2} S O_{4}+H_{2} O+C O_{2} \)
A \( \cdot \) a) \( M n O_{2}+4 H^{+}+4 C l^{-} \rightarrow M n^{2+}+2 C l^{-}+2 H_{2} O+ \)
\( C l_{2} \)
b) \( 2 N a^{+}+2 H C O_{3}^{-}+2 H^{+}+S O_{4}^{2-} \rightarrow 2 N a^{+}+ \)
\( S O_{4}^{2-}+2 H_{2} O+C O_{2} \)
B. a) \( 2 M n O_{2}+8 H^{+}+4 C l^{-} \rightarrow 2 M n^{2+}+2 C l^{-}+ \)
\( 4 H_{2} O+C l_{2} \)
b) \( 2 N a^{+}+2 H C O_{3}^{-}+2 H^{+}+S O_{4}^{2-} \rightarrow 2 N a^{+}+ \)
\( S O_{4}^{2-}+2 H_{2} O+C O_{2} \)
c. a) \( M n O_{2}+4 H^{+}+3 C l^{-} \rightarrow M n^{2+}+C l^{-}+2 H_{2} O+ \)
\( C l_{2} \)
b) \( 2 N a^{+}+2 H C O_{3}^{-}+2 H^{+}+S O_{4}^{2-} \rightarrow 2 N a^{+}+ \)
\( S O_{4}^{2-}+2 H_{2} O+C O_{2} \)
D. None of these
Subject: Physics
Two waves are propagating along a taut string that coincides with the \( x \) -axis. The first wave has the wave function
\( \boldsymbol{y}_{1}=\boldsymbol{A} \cos [\boldsymbol{k}(\boldsymbol{x}-\boldsymbol{v} \boldsymbol{t})] \) and the second
has the wave function \( y_{2}=A \cos [k(x+ \)
\( \boldsymbol{v} \boldsymbol{t})+\boldsymbol{\phi}] \)
A. For constructive interference at \( x=0, \phi=\pi \)
B. For constructive interference at \( x=0, \phi=3 \pi \)
c. For destructive interference at \( x=0, \phi=\pi \)
D. For destructive interference at \( x=0, \phi=2 \pi \)
Subject: Physics
A hydrogen atom is in the excited state
of the principal quantum number \( n . \) It
emits a photon of wavelength \( ^{\prime} \lambda^{\prime} \) when
returns to ground state. The value of \( n \)
is
\( \mathbf{A} \cdot \sqrt{\lambda R(\lambda R-1)} \)
B. \( \sqrt{\frac{\lambda R-1}{\lambda R}} \)
\( \mathbf{c} \cdot \sqrt{\frac{\lambda R}{\lambda R-1}} \)
D. \( \sqrt{\lambda(R-1)} \)
Subject: Chemistry
Pure chloroform does not give a white
ppt with \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{N} \boldsymbol{O}_{3} \) as:
A. It does not ionise to give chloride ion.
B. It forms a soluble complex.
c. It is immiscible with the solution.
D. \( A g N O_{3} \) solution is weak in conc.
Subject: Maths
Find the middle terms in the expansion
of \( \left(2 x^{2}-\frac{1}{x}\right)^{7} \)
В. \( -280 x^{5}, 560 x^{2} \)
C \( .560 x^{5},-280 x^{2} \)
D . \( 280 x^{5},-560 x^{2} \)
Subject: Physics
A bullet of mass \( m \) hits a target of mass \( M \) hanging by a string and gets embedded in it. If the block rises to a
height \( h \) as a result of this collision, the
velocity of the bullet before the collision
is:
A. \( v=\sqrt{2 g h} \)
B. \( v=\sqrt{2 g h}\left(1+\frac{m}{M}\right) \)
c. \( v=\sqrt{2 g h}\left(1+\frac{M}{m}\right) \)
D. \( v=\sqrt{2 g h}\left(1-\frac{m}{M}\right) \)
Subject: Maths
If two chords of lengths \( 2 a \) each, of a
circle of radius \( R, \) intersect each other
at right angles then the distance of their point of intersection from the
centre of the circle is
A \( \cdot 2 \sqrt{R^{2}-a^{2}} \)
the \( \sqrt{R^{2}-a^{2}} \)
B . \( \sqrt{2\left(R^{2}-a^{2}\right)} \)
c. \( 4 \sqrt{\left(R^{2}-a^{2}\right)} \)
D \( \cdot 2\left(R^{2}-a^{2}\right) \)
Subject: Physics
I ne rectangular wıre trame, shown In
the figure has a width d, mass \( m \)
resistance \( R \) and a large length. \( A \) uniform magnetic field B exists to the left of the frame. A constant force \( F \)
starts pushing the frame into the
magnetic field at \( t=0 \)
(a)Find the acceleration of the frame
when its speed has increased to
(b how that after some time the frame
will move with a constant velocity till the whole frame enters into the
magnetic field. Find the velocity \( v_{0} \)
(c) Show that the velocity at time t is given byv \( =\boldsymbol{v}_{0}\left(\mathbf{1}-\boldsymbol{e}^{\frac{-F t}{m v_{0}}}\right) \)
\[
\begin{array}{ll}
x & x \\
x & x \\
x & x \\
x & x \\
x & x
\end{array}
\]
Subject: Biology
Which of the following are caused due to the unplanned clearing of land?
(i) The destruction of habitats
(ii) Soil erosion
(iii) Land slides
(iv) Global warming
A. only (i), (ii) and (iii)
B. Only (i), (ii) and (iv)
C. Only (i), (iii) and (iv)
D. (i), (ii), (iii) and (iv)
Subject: Physics
A closed hollow insulated cylinder is
filled with gas at \( 0^{0} \mathrm{C} \) and also contains
an insulated piston of negligible weight and negligible thickness at the the middle point. The gas at one side of the piston is heated to \( 100^{\circ} \mathrm{C} \). If the
piston moves \( 5 \mathrm{cm} \), the length of the hollow cylinder is
A. \( 13.65 \mathrm{cm} \)
B. 27.3 cm
c. \( 64.6 \mathrm{cm} \)
D. \( 54.6 \mathrm{cm} \)
Subject: Maths
Choose the correct statement:
A. Of all the line segments that can be drawn from a point outside a line, the perpendicular is the shortest.
B. The difference of two sides of a triangle is equal to the third side.
C. The sum of the three sides of a triangle is less than the sum of its three medians.
D. If two sides of a triangle are unequal then the larger side has the smaller angle opposite to it.
Subject: Physics
Two sitar strings, \( A \) and \( B \), playing the
note 'Dha' are slightly out of tune and
produce beats and frequency 5 Hz.The tension of the string \( B \) is slightly increased and the beat frequency is
found to decrease by \( 3 H z \). If the frequency of \( \boldsymbol{A} \) is \( \mathbf{4 2 5} \boldsymbol{H} \boldsymbol{z}, \) the original frequency of \( \boldsymbol{B} \) is
A \( .430 H z \)
в. 428 Н \( z \)
c. \( 422 \mathrm{Hz} \)
D. \( 420 \mathrm{Hz} \)
Subject: Chemistry
Statement \( 1: L i O H \) is considered a
strong base. Statement 2: It undergoes neutralization reactions with acids.
A. Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct, but 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
Subject: Chemistry
Which statements are correct?
1. Addition of \( A g N O_{3} \) drop by drop in excess of \( K I \) leads to the formation of
+vely charged sol of \( A g I \)
2. Adsorption characteristic of an adsorbent may be increased by making it in finely divided form.
3. Catalyst help in attaining the equilibrium earlier but does not influence equilibrium constant in reversible reactions.
4. Decolorisation of raw sugar is based on absorption.
5. Gas masks containing animal charcoal acts on the basis of selective
adsorption.
6. The micelle formation of soaps
depends upon hydrophobic and hydrophilic entities present in soap.
A .2,3,5,6
В. 2,3,4,5
c. 1,2,5,6
D. 1,2,3,4
Subject: Physics
The time constant of an inductance coil
is \( 2 \times 10^{-3} \) s. When a \( 90 \Omega \) resistance is
joined in series, the same constant becomes \( 0.5 \times 10^{-3} \) s. The inductance
and resistance of the coil are
A. \( 30 m H ; 30 \Omega \)
в. \( 60 m H ; 30 \Omega \)
c. \( 30 m H ; 60 \Omega \)
D. \( 60 m H ; 60 \Omega \)
Subject: Chemistry
A reaction in equilibrium is represented by the following equation.
\( \mathbf{2} \boldsymbol{A}_{(s)}+\mathbf{3} \boldsymbol{B}_{(g)} \rightleftharpoons \mathbf{3} \boldsymbol{C}_{(\boldsymbol{g})}+\boldsymbol{D}_{(\boldsymbol{g})}+\boldsymbol{Q} \)
If the pressure on the system is reduced to half of its original value:
A. The amounts of \( c \) and D decreases
B. The amounts of C and D increases
c. The amount of D decreases
D. All the amounts remain constant
Subject: Chemistry
Which of the following electronic configurations are associated with the formation of a molecule with expanded
octet?
This question has multiple correct options
A \( \cdot[H e] 2 s^{2} 2 p^{1} \)
B . \( [H e] 2 s^{2} 2 p^{2} \)
C . \( [N e] 3 s^{2} 3 p^{3} \)
D \cdot \( [N e] 3 s^{2} 3 p^{4} \)
Subject: Physics
Fill in the blanks.
A field normal to the plane of a circular
wire \( n \) turns and radius r which carries
a current I is measured on the axis of
the coil at small h distance h from the
centre of the coil. This is smaller than
the field at the centre by a friction
A \( \cdot_{3} \frac{3 h^{2}}{2 r^{2}} \)
B. \( \frac{h^{2}}{2 r^{2}} \)
c. \( \frac{4 h^{2}}{2 r^{2}} \)
D. \( \frac{3 h^{2}}{2 r^{2}} \)
Subject: Chemistry
Assertion
Fat is digested in the intestine by
emulsification.
Reason
Bile salts stabilize the emulsion so
formed.
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
Two isomers \( (\boldsymbol{I} \boldsymbol{V}) \) and \( (\boldsymbol{V}) \) on
monochlorination give four products.
The isomers \( (\boldsymbol{I} \boldsymbol{V}) \) and \( (\boldsymbol{V}) \) are:
\( \mathbf{A} \)
B.
\( c \)
and
D.
Subject: Chemistry
IUPAC name of \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{C H}_{2} \boldsymbol{B r} \) is:
A. 1-Bromopentane
B. 2-Methyl-4-bromobutane
c. 1-Bromo-3-methylbutane
D. 2-Methyl-3-bromobutane
Subject: Chemistry
The equilibrium constant \( \boldsymbol{K}_{\boldsymbol{p}} \) for the
following reaction at \( 191^{\circ} \mathrm{C} \) is 1.24
What is \( \boldsymbol{K}_{c} \) ? \( B(s)+\frac{3}{2} F_{2}(g) \rightleftharpoons B F_{3}(g) \)
A . 6.7
B. 0.61
c. 8.30
D. 7.6
Subject: Physics
Two metallic spheres of radii \( 1 \mathrm{cm} \) and
\( 3 c m \) are given charges of \( -1 \times 10^{-2} C \)
and \( 5 \times 10^{-2} C, \) respectively. If these are
connected by a conducting wire, the final charge on the bigger sphere is-
A \( \cdot 3 \times 10^{-2} \mathrm{C} \)
B. \( 4 \times 10^{-2} \mathrm{C} \)
c. \( 1 \times 10^{-2} C \)
D. \( 2 \times 10^{-2} C \)
Subject: Physics
A rope, under a tension of \( 200 N \) and
fixed at both ends, oscillates in a second-harmonic standing wave pattern. The displacement of the rope is given by \( : \boldsymbol{y}=\mathbf{0 . 1} \sin \left(\frac{\boldsymbol{\pi} \boldsymbol{x}}{\mathbf{2}}\right) \sin 12 \boldsymbol{\pi} \boldsymbol{t} \)
Where \( x=0 \) at one end of the rope, \( x \) is
in meters and \( t \) is in seconds. The speed of the progressive waves \( (\operatorname{in} m / s) \) on the rope is
Subject: Physics
A box starts at rest at the top of a 30.0
degree incline as shown and slides
down a diagonal distance of \( 4.00 m \). If
the box weighs \( 2.00 k g \) and there is no
friction, the speed of the box at the bottom of the incline is most nearly:
A. \( 4.43 \mathrm{m} / \mathrm{s} \)
B. \( 6.26 \mathrm{m} / \mathrm{s} \)
c. \( 8.24 \mathrm{m} / \mathrm{s} \)
D. \( 8.86 m / s \)
E. Not enough information
Subject: Chemistry
What is the concentration of a cobalt (II)
nitrate solution whose absorbance was
measured at 0.55 in a \( 1.1 \mathrm{cm} \) cuvette
with a molar extinction coefficient of
\( \mathbf{1 . 5} / \boldsymbol{M} \mathbf{c m} ? \)
в. \( 0.60 M \)
c. \( 0.90 M \)
D. \( 1.2 M \)
Subject: Chemistry
Which of the following is not a redox reaction?
A. \( C a C O_{3} \rightarrow C a O+C O_{2} \)
в. \( O_{2}+2 H_{2} \rightarrow 2 H_{2} O \)
c. \( _{N a+H_{2} O \rightarrow N a O H+\frac{1}{2} H_{2}} \)
D. \( M n C l_{3} \rightarrow M n C l_{2}+\frac{1}{2} C l_{2} \)
Subject: Chemistry
Acetic acid has \( K_{a}=1.8 \times 10^{-5} \) while
formic acid has \( K_{a}=2.1 \times 10^{-4} . \) What
would be the magnitude of the emf of the cell? \( \boldsymbol{P t}\left(\boldsymbol{H}_{2}\right)\left|\begin{array}{c}\boldsymbol{0 . 1} \text {Maceticacid}+ \\ \boldsymbol{0 . 1 M s o d i u m a c e t a t e}\end{array}\right| \mid \begin{array}{c}\mathbf{0 . 1 N} \\ \mathbf{0 . 1 M s}\end{array} \)
A. 0.032 vol
B. 0.063 volt
c. 0.0456 volt
D. 0.055 volt
Subject: Physics
A satellite is launched into a circular
orbit of radius \( R \) around the earth.
Another second satellite is launched
into an orbit of radius \( 1.01 R \). The
period of the second satellite is longer than that first by approximately
A . \( 0.5 \% \)
в. \( 1.0 \% \)
c. \( 1.5 \% \)
D. 3.0\%
Subject: Physics
Match List I with List II
List-I
a) \( 0.00366 /^{0} \mathrm{C} \)
e) Avagadros
Number
b) \( 6.023 \times 10^{23} \) molecules \( f \) ) Universal gas
constant
c) \( -273^{0} \mathrm{C} \)
g) Pressure
coefficient of gas
d) \( 8.31 \mathrm{J} / \mathrm{K} \) -mole
h) Intercept of \( \mathrm{V}-\mathrm{T} \)
graph at constnat
pressure
A. a-g, b-e, c-h, d-f.
B. a-f, b-g c-e,d-h.
c. a-g,b-e,c-f, d-h.
D. a-g,b-f, c-e, d-h
Subject: Maths
\( \ln \Delta \mathrm{ABC}, \overline{X Y} \) is paralled to \( \overline{A C} \) and
divides the triangle into two parts of equal area. Then the \( \frac{A X}{A B} \) equals
A \( \cdot \frac{\sqrt{2}+1}{2} \)
B. \( \frac{2-\sqrt{2}}{2} \)
c. \( \frac{2+\sqrt{2}}{2} \)
D. \( \frac{\sqrt{2}-1}{2} \)
Subject: Physics
In a double-slit experiment, the distance between the two slits is 1 m \( m \)
and the screen is placed \( 1 m \) away. What
should be the width of each slit to
obtain 20 maxima of double slit pattern
within the central maximum of the
single slit pattern?
A . \( 0.05 \mathrm{cm} \)
B. \( 0.02 \mathrm{cm} \)
c. \( 0.01 \mathrm{cm} \)
D. \( 0.08 \mathrm{cm} \)
Subject: Chemistry
Which one of the following reactions is not associated with the Solvay process of manufacture of sodium carbonate?
A \( . \) NaCl \( +N H_{4} C O_{3} \rightarrow N a H C O_{3}+N H_{4} C l \)
в. 2 NaOH \( +C O_{2} \rightarrow \) Na\( _{2} \) CO \( _{3}+H_{2} \) O
c. \( 2 N a H C O_{3} \rightarrow N a_{2} C O_{3}+H_{2} O+C O_{2} \)
D. \( N H_{3}+H_{2} C O_{3} \rightarrow N H_{4} H C O_{3} \)
Subject: Chemistry
Pick out the correct statement for
\( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{6}: \)
A . \( X e F_{6} \) is hydrolysed partially to form \( X e O F_{4} \)
B. It react with \( S i O_{2} \) to form \( X e O F_{4} \)
C. on complete hydrolysis, it forms \( X e O_{3} \)
D. All of the ablove
Subject: Maths
A line passes through the origin and makes an angle of \( \pi / 4 \) with the line
\( \boldsymbol{x}-\boldsymbol{y}+\mathbf{1}=\mathbf{0} . \) Then
This question has multiple correct options
A. Equation of the line is \( x=0 \)
B. The equation of the line is \( y=0 \)
C. The point of intersection of the line with the given line \( s(-1,0) \)
D. The point of intersection of the line with the given line is (0,1)
Subject: Physics
In a Std. \( X \) class, out of 40 students, 10
students use spectacles, 2 students
have positive power and 8 students
have negative power of lenses in their spectacles. Answer the following questions:
(i) What does the negative power
indicate?
(ii) What does the positive power indicate?
(iii) Generally which type of spectacles
do most of the students use?
(iv) What defect of eyesight do most of the students suffer from?
(v) Give two possible reasons for the above defect.
Subject: Physics
Assertion
Velocity time graph of two particles undergoing head-on collsion is shown in the figure. If collision is inelastic then
value of y must be less than \( x \)
Reason

Coefficient of restitution(e) \( = \) velocity of |velocity of
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: Physics
Magnetic field in a plane electromagnetic wave is given by \( \vec{B}=B_{0} \sin (k x+\omega t) \hat{j} T \)
Expression for corresponding electric field will be :
Where \( c \) is speed of light.
A \( \cdot \vec{E}=B_{0} c \sin (k x+\omega t) \hat{k} V / m \)
B・ \( \vec{E}=\frac{B_{0}}{c} \sin (k x+\omega t) \hat{k} V / m \)
c. \( \vec{E}=-B_{0} \operatorname{csin}(k x+\omega t) \hat{k} V / m \)
D . \( \vec{E}=B_{0} c \sin (k x-\omega t) \hat{k} V / m \)