AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Three charged particles, \( A, B, \) and \( C \)
are kept apart by distance d from each
other as shown in figure. If particle \( B \) is
attracted to particle \( A, \) what can we
predict about the charge, \( \boldsymbol{q}_{A}, \) of particle
\( A ? \)
A \( \cdot q_{A}<-q \)
в. \( -q<q_{A}<0 \)
\( \mathbf{c} \cdot q_{A}=0 \)
D. \( 0<q_{A}<+q \)
. \( q_{A}>+q \)
Subject: Maths
The area between the curve \( y^{2}=9 x \) and
the line \( y=3 x \) is
A \( \cdot \frac{1}{3} \) sq units
B. \( \frac{8}{3} \) sq. units
c. \( \frac{1}{2} \) sq. units
D. \( \frac{1}{5} \) sq. units
Subject: Maths
Which one of the following is correct in respect of the function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}(\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}+\mathbf{1}) ? \)
A. The local maximum value is larger than local minimum value
B. The local maximum value is smaller than local minimum value
c. The function has no local maximum
D. The function has no local minimum
Subject: Physics
Two charges equal in magnitude and opposite in polarity are placed at a certain distance apart and effective
force between them is \( F \). If \( 75 \% \% \)
charge of one is transferred to another, then the effective force between the
charges becomes:
A \( \cdot \frac{F}{16} \)
в. \( \frac{9 F}{16} \)
\( c . F \)
D. \( \frac{15}{16} \)
Subject: Maths
Which among the following is/are
correct?
This question has multiple correct options
A. If an operations can be performed in 'm' different ways and a second operation can be performed in 'n different ways, then both of these operations can be performed in \( ^{\prime} m \times n^{\prime} \) ways together
B. The number of arrangements of n different objects taken all at a times is n!
C. The number of permutations of n different things taken \( r \) at a time, when each thing may be repeated any number of times is \( n \)
D. The number of circular permutations of 'n' different things taken all at a time is \( \frac{1}{2}(n-1) ! \). if clockwise and anticlockwise orders are taken as different.
Subject: Physics
\( \dots \)
the function \( Z \) of \( X \) and \( Y \) represented by
given figure is :
\( A \)
\begin{tabular}{|c|c|c|}
\hline\( X \) & \( Y \) & \( Z \) \\
\hline 0 & 0 & 0 \\
0 & 1 & 0 \\
1 & 0 & 1 \\
1 & 1 & 1 \\
\hline
\end{tabular}
B. \begin{tabular}{|c|c|c|}
\hline\( X \) & \( Y \) & \( Z \) \\
\hline 0 & 0 & 1 \\
0 & 1 & 1 \\
1 & 0 & 0 \\
1 & 1 & 0 \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|c|c|c|}
\hline\( X \) & \( Y \) & \( Z \) \\
\hline 0 & 0 & 1 \\
0 & 1 & 0 \\
1 & 0 & 1 \\
1 & 1 & 0 \\
\hline
\end{tabular}
D. None of these
Subject: Chemistry
\( K F \) combines with \( H F \) to from \( K H F_{2} \)
The compound contains the species:
A \( \cdot K^{+}, F^{-} \) and \( H^{+} \)
B. \( K^{+}, F^{-} \) and \( H F \)
\( \mathbf{c} \cdot K^{+} \) and \( \left[H F_{2}\right]^{-} \)
D. \( [K H F]^{+} \) and \( F_{2} \)
Subject: Chemistry
Give the condensed formula of
following,
\( 2-H y d r o x y-1,2,3- \)
propanetricarboxylic acid:
A \( \cdot(H O O C) C H_{2} C(C O O H)(O H) C H_{2}(C O O H) \)
в. \( (H O O C) C H_{2} C(C O O H)(C O O H) C H_{2}(O H) \)
\( \mathrm{c} \cdot(\mathrm{HOOC}) \mathrm{CH}_{3} \mathrm{C}(\mathrm{COOH}) \mathrm{CH}_{2}(\mathrm{COOH}) \)
D. \( (H O O C) C H_{2} C H_{2} C(C O O H)(O H) C H_{2}(C O O H) \)
Subject: Maths
\( \int \frac{\sqrt{1-x^{2}}+\sqrt{1+x^{2}}}{\sqrt{1-x^{4}}} d x= \)
A \( \cdot \cosh ^{-1} x+\sin ^{-1} x+c \)
B. \( \cosh ^{-1} x+\cos ^{-1} x+c \)
\( c \cdot \sinh ^{-1} x+\sin ^{-1} x+c \)
D. \( \sinh ^{-1} x+\cos ^{-1} x+c \)
Subject: Biology
Assertion
Phase of cell division is also known as
formative phase.
Reason
In formative phase new cells are produced from pre-existing cells through meiosis.
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: Maths
\( x \sqrt{1+y}+y \sqrt{1+x}=0, \) then \( \frac{d y}{d x} \) equal
to
\( \mathbf{A} \cdot 1+x \)
В. \( (1-x)^{-2} \)
C. \( -(1+x)^{-1} \)
D. \( -(1+x)^{-2} \)
Subject: Maths
If \( A \) and \( B \) are matrices given below:
\[
\begin{array}{l}
A=\left[\begin{array}{ccc}
0 & c & -b \\
-c & o & a \\
b & -a & 0
\end{array}\right] \text { and } B= \\
{\left[\begin{array}{ccc}
a^{2} & a b & a c \\
a b & b^{2} & b c \\
a c & b c & c^{2}
\end{array}\right]}
\end{array}
\]
then \( A B \) is a unit matrix. Is this
statement true?
Subject: Physics
Calculate the quantity of heat required
to convet \( 1.5 \mathrm{kg} \) of ice at \( 0^{\circ} \mathrm{C} \) to water at
\( \mathbf{1 5}^{o} \boldsymbol{C} \cdot\left(\boldsymbol{L}_{\boldsymbol{i c e}}=\mathbf{3 . 3 4} \times\right. \)
\( \left.\mathbf{1 0}^{\mathbf{5}} \boldsymbol{J k g}^{-\mathbf{1}}, \boldsymbol{C}_{\boldsymbol{w a t e r}}=\mathbf{4 1 8 0} \boldsymbol{J} \boldsymbol{k g}^{-\mathbf{1} o} \boldsymbol{C}^{-\mathbf{1}}\right) \)
A \( .5 .85 \times 10^{5} J \)
В. \( 5.95 \times 10^{5} J \)
c. \( 3.95 \times 10^{5} J \)
D. \( 4.95 \times 10^{5} J \)
Subject: Physics
Determine the shear stress at the pipe
wall
A. \( 8 \times 10^{-6} N / m^{2} \)
B. \( 3.9 \times 10^{-6} N / m^{2} \)
c. \( 2.3 \times 10^{-6} N / m^{2} \)
D. \( 10.6 \times 10^{-6} N / m^{2} \)
Subject: Chemistry
The maximum amount of \( C a C O_{3} \) that
can be obtained from 4 g of calcium as per the sequence of reaction is:
\( \boldsymbol{C a} \rightarrow \boldsymbol{C a O} \rightarrow \boldsymbol{C a} \boldsymbol{C O}_{3} \)
A . \( 20 g \)
B. 40
\( c \cdot 10 g \)
D. 80
Subject: Maths
f \( A, B, C \) are three events show that
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B} \cup \boldsymbol{C})=\boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B})+ \)
\( \boldsymbol{P}(\boldsymbol{C})-\boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})-\boldsymbol{P}(\boldsymbol{b} \cap \boldsymbol{C})- \)
\( \boldsymbol{P}(\boldsymbol{C} \cap \boldsymbol{A})+\boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B} \cap \boldsymbol{C}) \)
Subject: Physics
Two wires carry currents of \( 100 A \) and
\( 200 A \) respectively and they repel each other with a force of \( 0.4 N / m . \) The distance between them will be
A . \( 1 m \)
B. \( 1 \mathrm{cm} \)
\( c .50 \mathrm{cm} \)
D. \( 25 \mathrm{cm} \)
Subject: Maths
A closed box made of steel of uniform
thickness has length, breadth and
height \( 12 \mathrm{dm}, 10 \mathrm{dm} \) and \( 8 \mathrm{dm} \)
respectively. If the thickness of the steel sheet is \( 1 \mathrm{dm}, \) then the inner
surface area is
\( \mathbf{A} \cdot 456 \mathrm{dm}^{2} \)
B. \( 376 \mathrm{dm}^{2} \)
\( \mathbf{c} \cdot 264 \mathrm{dm}^{2} \)
D. \( 696 \mathrm{dm}^{2} \)
Subject: Chemistry
\( H C l \) is added to the following oxides,
which one would give \( H_{2} O_{2} ? \)
\( \mathbf{A} \cdot B a O_{2} \)
в. \( M n O_{2} \)
\( \mathbf{c} \cdot P b O_{2} \)
D. \( N O_{2} \)
Subject: Maths
If \( f(x)=\frac{1-\cos a x}{1-\cos b x} \) for \( x \neq 0, \) is
continuous at \( \boldsymbol{x}=\mathbf{0} \) then \( \boldsymbol{f}(\mathbf{0})= \)
A \( \cdot \frac{a^{2}}{2} \)
B. \( \frac{a}{b^{2}} \)
c. \( \frac{a}{b} \)
D. \( \frac{a^{2}}{b^{2}} \)
Subject: Maths
Find \( A \triangle B \) and by definition:
\( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}\} \) and \( \boldsymbol{B}=\{\mathbf{1}, \mathbf{3}, \mathbf{5}, \mathbf{7}\} \)
Subject: Chemistry
Estimate the cell potential of a Daniel cell having \( 1.0 M Z n^{++} \) and originally having \( 1.0 M C u^{++} \) after sufficient
\( N H_{3} \) has been added to the cathode
compartment to make \( N H_{3} \)
concentration \( 2.0 M \) at equilibrium.
\( \operatorname{Given} \boldsymbol{K}_{f} \) for \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+}=\mathbf{1} \times \)
\( 10^{12}, E^{o} \) for the reaction, \( Z n+ \)
\( \boldsymbol{C u}^{2+} \longrightarrow Z \boldsymbol{n}^{2+}+\boldsymbol{C u} \quad \mathbf{1 . 1} \boldsymbol{V} \) (Take
\( \frac{\mathbf{2 . 3 0 3} \boldsymbol{R} \boldsymbol{T}}{\boldsymbol{F}}=\mathbf{0 . 0 6} \log \mathbf{6 . 2 5}=\mathbf{0 . 8} \mathbf{)} \)
Subject: Chemistry
Na \( 0 . H \) can also be prepared by electrolysis of aqueous \( N a C l . \) Amount of \( N a O H \) formed when \( 0.445 L \) of
\( N a C l(a q) \) is electrolysed for 137 s with a current of \( 1.08 A \) is \( 0.06 g . \) The pH of this solution is :
A . 11.70
B. 11.53
c. 11.83
D. data is incomplete
Subject: Maths
Simplify:
\( \frac{\mathbf{2 . 3} \times \mathbf{2 . 3}}{\mathbf{2 . 3} \times \mathbf{2 . 3 - 2} \times \mathbf{2 . 3} \times \mathbf{2 . 3}+\mathbf{2 . 3} \times \mathbf{2 . 3}+} \)
\( A \)
B. 3.24
c. 1.96
D. 5.29
Subject: Physics
In a potentiometer experiment for measuring the emf of a cell, the null point is at \( 240 \mathrm{cm} \) when we have a \( 500 \Omega \$ \) resistor in series with the cell and galvanometer. If the series resistance reduced to half, then the null
point will be at:
A. \( 480 \mathrm{cm} \)
в. 240 ст
\( \mathrm{c} .120 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
Subject: Chemistry
Potassium manganate \( \left(\mathrm{K}_{2} \mathrm{MnO}_{4}\right) \) is
formed. When :
This question has multiple correct options
A. cuprous oxide reacts with alkaline \( \mathrm{KMnO}_{4} \) solution
B. manganese dioxide is fused with \( \mathrm{K}_{2} \mathrm{CO}_{3} \) in presence of
\( \mathrm{KNO}_{3} \)
C. formaldehyde reacts with potassium permanganate in presence of concentrated potassium hydroxide solution
D. potassium permanganate is heated with potassium hydroxide
Subject: Maths
The function \( \boldsymbol{f}(\boldsymbol{x})=\frac{1+\sin \boldsymbol{x}-\cos \boldsymbol{x}}{1-\sin \boldsymbol{x}-\cos \boldsymbol{x}} \)
is not defined at \( x=0 . \) The value of
\( f(0) \) so that \( f(x) \) is continuous at \( x= \)
\( 0, \) is
\( A \)
B. -
\( c \cdot 0 \)
D. none of these
Subject: Chemistry
Arrange following compounds in decreasing order of reactivity of ring towards attack of electron deficient
species.
A \( . i>i i>i i i>i v \)
в. \( i i i>i v>i i>i \)
c. \( i>i v>i i> \) ii i
\( \mathbf{D} \cdot i>i i>i v>i i i \)
Subject: Chemistry
Assertion
Extraction of metals from their ores by
chemical methods requires the use of reducing agent.
Reason
Reducing agent helps to convert the metal oxide from its ore to the metal
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: Maths
Sai is ordering new shelving units for
his store. Each unit is 7 feet in length and extends from floor to ceiling. Sai's store has 119 feet of wall space that
includes 21 feet of windows along the
walls. If the shelving units cannot be placed in front of the windows, which of the following inequalities includes all possible values of \( r, \) the number of shelving units that Sai could use?
A \( \cdot r \leq \frac{119-21}{7} \)
B. \( r \geq \frac{119+21}{7} \)
c. \( r \leq 119-21+7 r \)
D. \( r \geq 119+21-7 r \)
\( r \)
Subject: Chemistry
Assertion
Molten \( I_{2} \) is conducting in nature.
Reason
Bond dissociation energy increases in
the order, \( \boldsymbol{B r}_{2}<\boldsymbol{C l}_{2}<\boldsymbol{I}_{2} \)
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
What is the minimum energy required to launch a satellite of mass \( \mathrm{m} \) from the
surface of a planet of mass \( \mathrm{M} \) and
radius \( \mathrm{R} \) in a circular orbit at an
altitude of 2R.
\( \mathbf{A} \cdot \frac{5 G m M}{6 R} \)
B. \( \frac{G m M}{2 R} \)
\( \mathbf{c} \cdot \frac{G m M}{3 R} \)
\( \mathbf{D} \cdot \frac{5 G m M}{7 R} \)
Subject: Chemistry
\( \operatorname{Given} \boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}^{+} \rightleftharpoons \boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{2} \boldsymbol{N} \boldsymbol{H}_{3} \)
\( \boldsymbol{K}_{c}=\mathbf{6 . 2} \times \mathbf{1 0}^{-8} \) and \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \) is
\( 1.8 \times 10^{-10} \) at \( 298 K . \) Calculate
concentration of the complex in \( 1 M \)
aqueous ammonia.
Subject: Physics
A ray ol IIght Is Incıdent normally orn orne
face of a prism as shown in figure. The
refractive index of the material of the
5
prism is \( \frac{-a n d}{3} \) the prism is immersed
in water of refractive index \( \frac{x}{2} \) then 3
This question has multiple correct options
A \( \cdot \) The angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{5}{8}\right) \)
B. The angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{5}{4 \sqrt{3}}\right) \)
C the angle of emergence \( \Theta_{2} \) of the ray is \( \sin ^{-1}\left(\frac{7}{3 \sqrt{4}}\right) \)
D. Total internal reflection will not occur at P if the refractive index of water increases to a value greater
\( \operatorname{than} \frac{5}{2 \sqrt{3}} \) by dissolving some substance
Subject: Physics
pistons \( A \) and \( B \) of area of cross section
\( 8 c m^{2} \) and \( 320 c m^{2} \) respectively, are joined at their bottom by a tube and
they are completely filled with water. Find \( :(\mathrm{i}) \) the pressure on piston \( \mathrm{A} \), (ii) the pressure on piston \( \mathrm{B} \), and (iii) the thrust on piston B.(consider effort on
piston \( \mathbf{A} \boldsymbol{E}=\mathbf{4} \boldsymbol{k} \boldsymbol{g} \boldsymbol{f}) \)
\( \mathbf{A} \cdot(\mathrm{i}) 5 \mathrm{kg} f \mathrm{cm}^{-2} \)
(ii) \( 5 \mathrm{kg} f \mathrm{cm}^{-2} \)
(iii) \( 160 \mathrm{kgf} \)
B. (i) 5 kgf \( c m^{-2} \)
(ii) \( 5 \mathrm{kg} \mathrm{fcm}^{-2} \)
(iii) \( 16 \mathrm{kg} f \)
C \( \cdot\left(\text { i) } 10 \text { kgf } c m^{-2}\right. \)
(ii) \( 10 \mathrm{kg} \mathrm{fcm}^{-2} \)
(iii) \( 160 \mathrm{kg} f \)
D. (i) \( 0.5 \mathrm{kg} \mathrm{fcm}^{-2} \)
(ii) \( 0.5 \mathrm{kg} \mathrm{fcm}^{-2} \)
(iii) \( 160 \mathrm{kg} f \)
Subject: Physics
Assertion
A charged particle moves along positive y-axis with constant velocity in uniform electric and magnetic fields.If magnetic field is acting along positive \( x \) -axis,then electric field should act along positive z-axis.
Reason
To keep the charged particle undeviated the relation \( \vec{E}=\vec{B} \times \vec{v} \) must hold good.
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
The Lanthanoid have the genera
configuration
A \( \cdot 5 f^{1-14} 5 s^{2} p^{6} d^{0-1} 6 s^{2} \)
B . \( (n-2) f^{1-14}(n-1) d^{1-2} n s^{2} \)
\( \mathbf{c} \cdot 5 f^{1-14} 6 s^{2} p^{6} 6 s^{2} \)
D. \( n s^{2} n p^{1-6} \)
Subject: Maths
The area of the region bounded by the parabola \( (\boldsymbol{y}-\mathbf{2})^{2}=(\boldsymbol{x}-\mathbf{1}), \) the
tangent to the parabola at the point (2,3) and the X-axis is?
\( A \cdot 3 \)
B. 6
\( c .9 \)
D. 12
Subject: Physics
If \( n \) balls hit elastically and normally on a surface per unit area and all units has
mass \( \mathrm{m} \) and are moving with same velocity u, then force on surface is:
A. mun
B. 2 mun
c. \( \frac{1}{2} m u^{2} n \)
\( \mathbf{D} \cdot m u^{2} n \)
Subject: Physics
Assertion : Current is passed through a metallic wire, heating it red. When cold water is poured on half of it, the rest
becomes more hot.

Reason: Resistance decreases due to
the decrease in temperature and then
current through wire increases.
A. Both (A) and (R) are true and (R) is the correct explanation of A
B. Both (A) and (R) are true but (R) is not the correct explanation of A
c. (A) is true but (R) is false
D. (A) is false but (R) is true
Subject: Chemistry
The volume of \( H C l \) passed through the
solution at \( 25^{\circ} \mathrm{C} \) and 1 atm is:
A. \( 24.46 m L \)
B. \( 2.446 m L \)
c. \( 244.6 m L \)
D. \( 0.2446 m L \)
Subject: Maths
Lines \( \mathrm{PQ} \) and RS intersect at \( 0 . \) If \( \angle P O R \)
is three times \( \angle R O Q, \) then \( \angle S O Q \) is
A \( \cdot 120^{\circ} \)
B. 150
\( c \cdot 135 \)
D. 45
Subject: Maths
Let \( \boldsymbol{E}=\boldsymbol{x}^{3}\left(\boldsymbol{x}^{3}+\mathbf{1}\right)\left(\boldsymbol{x}^{\mathbf{3}}+\mathbf{2}\right)\left(\boldsymbol{x}^{\mathbf{3}}+\right. \)
\( \mathbf{3}) ; \boldsymbol{x} \epsilon \boldsymbol{R} \). Then minimum value of \( \boldsymbol{E} \) be
\( A \)
B. - -
\( c \cdot-1 \)
D. Minimum value is not attained
Subject: Maths
The range of values of p for which the
equation \( \sin \cos ^{-1}\left(\cos \left(\tan ^{-1} x\right)\right)=p \)
has a solution is
\( A \cdot\left(-\frac{1}{\sqrt{2}}, \frac{2}{\sqrt{2}}\right) \)
в. [0,1)
c. \( \left(\frac{1}{\sqrt{21}}\right) \)
D. (-1,1)
Subject: Physics
A conducting loop (as shown) has total
resistance \( R \). A uniform magnetic field
\( B=\gamma t \) is applied perpendicular to
plane of the loop where \( \gamma \) is a constant
and \( t \) is time. The induced current
flowing through loop is:
\( A \)
B. \( \frac{\left(b^{2}-a^{2}\right) \gamma}{R} \)
c. \( \frac{\left(b^{2}-a^{2}\right) \gamma t}{R} \)
D. \( \frac{\left(b^{2}+a^{2}\right) \gamma}{R} \)
Subject: Chemistry
In a Lassaigine's test for sulphur in the
organic compound with sodium nitroprusside solution the
purple colour formed is due to:
A \( \cdot N a_{4}\left[F e(C N)_{5} N O S\right] \)
B \( \cdot N a_{3}\left[F e(C n)_{5} S\right] \)
c. \( N a_{2}\left[F e(C N)_{5} N O S\right. \)
D. \( \operatorname{Na}_{3}\left[\mathrm{Fe}(\mathrm{CN})_{6}\right] \)
Subject: Chemistry
Assertion
Dissociation takes place in ionic
compound
Reason
It involves separation of ions that are
held together by electrostatics force
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: Maths
Draw a circle of radius \( 3 \mathrm{cm} \). Take two
points \( P \) and \( Q \) on one of its extended
on both sides of its centre, each at a distance of \( 7 \mathrm{cm} \) on opposites of its
centre. Draw tangents to the circle from each of these two points \( \boldsymbol{P} \) and \( \boldsymbol{Q} \)
Subject: Chemistry
\( 200 \mathrm{mL} \) of an aqueous solution of a protein contains its 1.26 g. The osmotic pressure of this solution at \( 300 \mathrm{K} \) is
found to be \( 2.57 \times 10^{-3} \) bar. The molar
mass of protein will be:
\( \left(\boldsymbol{R}=\mathbf{0 . 0 8 3} \boldsymbol{L} \boldsymbol{b a r} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
\( A \cdot 61038 \) g mol \( ^{-1} \)
B. 51022 g mol-1
C. \( 122044 \mathrm{g} \mathrm{mol}^{-1} \)
D. 31011 g mol-
Subject: Physics
A ruby laser produces radiations of wavelengths, \( 662.6 \mathrm{nm} \) in pulse
duration are \( 10^{-6} \) s. If the laser produces
\( 0.39 \mathrm{J} \) of energy per pulse, how many photons are produced in each pulse?
A \( \cdot 1.3 \times 10^{9} \)
B . \( 1.3 \times 10^{18} \)
c. \( 1.3 \times 10^{27} \)
D. \( 3.9 \times 10^{18} \)
Subject: Chemistry
Assertion
When small amount of an acid or base
is added to pure water its pH undergoes a change.
Reason
Addition of an acid or a base increases
the degree of ionisation of water.
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 man of \( 80 \mathrm{kg} \) attempts to jump from a small boat of mass \( 40 \mathrm{kg} \) on to the shore. He can generate a relative velocity of \( 6 \mathrm{m} / \mathrm{s} \) between himself and
boat. His velocity towards the shore is:
\( A \cdot 4 m / s \)
B. \( 8 \mathrm{m} / \mathrm{s} \)
\( c \cdot 2 m / s \)
D. 3 \( \mathrm{m} / \mathrm{s} \)
Subject: Maths
Find the general solution of \( x \cos ^{2} 2 x+ \)
\( \cos ^{2} 3 x=1 \)
A \( \cdot(2 k+1) \frac{\pi}{10}, k \in I \)
В \( \cdot(\pi+1) \frac{\pi}{10} ; k \in I \)
\( c \cdot(2 k-1) \frac{\pi}{10}, k \in I \)
D. Both (A) and (C)
Subject: Chemistry
The equilibrium constant \( \left(K_{c}\right) \) for the
reaction, \( N_{2}(g)+O_{2}(g) \rightleftharpoons 2 N O(g) \) at
temperature \( (T) \) is \( 4 \times 10^{-4} \). The value
of \( K_{c} \) for the reaction, \( N O(g) \rightleftharpoons \)
\( \frac{1}{2} N_{2}(g)+O_{2}(g) \) at the same
temperature is:
A .0 .02
В. \( 2.5 \times 10^{2} \)
c. \( 4 \times 10^{-4} \)
D. 50
Subject: Chemistry
\( X e F_{6}+H_{2} O \rightleftharpoons X e O F_{4}+2 H F \)
constant \( =k_{1}, X e O_{4}+X e F_{6} \rightleftharpoons \)
\( X e O F_{4}+X e O_{3} F_{2} \) constant \( =K_{2} \)
Then equilibrium constant for the
following reaction will be:
\( \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{4}+\boldsymbol{2} \boldsymbol{H} \boldsymbol{F} \rightleftharpoons \boldsymbol{X} \boldsymbol{e} \boldsymbol{O}_{3} \boldsymbol{F}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
A \( \cdot \frac{K_{2}}{K_{1}} \)
в. \( K_{1}+K_{2} \)
c. \( \frac{K_{1}}{K_{2}} \)
D. \( \frac{K_{1}}{\left(K_{2}\right)^{2}} \)
Subject: Chemistry
Which of the following are the products shown by the reaction of methoxyethane with \( \boldsymbol{H} \boldsymbol{I} \) ?
\( \mathbf{A} \cdot C_{2} H_{5} I+C H_{3} O H \)
в. \( C H_{3} I+H_{2} O \)
c. \( C_{2} H_{5} O H+H_{2} O \)
D. \( C_{2} H_{5} O H+C H_{3} I \)
Subject: Physics
below?
The shape is uniformly dense.
All answers are stated with respect to
the origin, which is at the center of the
large sphere.
\( ^{\mathbf{A}} \cdot\left(0, \frac{R}{2}\right) \)
B. \( \left(0, \frac{R}{4}\right) \)
c. \( \left(0,-\frac{R}{4}\right) \)
D. \( \left(0,-\frac{R}{6}\right) \)
\( E \cdot\left(0,-\frac{R}{3}\right) \)
Subject: Chemistry
The bond between hydrogen and fluorine
in a molecule of hydrogen fluoride. \( \boldsymbol{H} \boldsymbol{F} \)
is sometimes considered an ionic bond
and other times is considered a
covalent bond.
What is the reason for this confusion?
A. The electronegativity difference between the two atoms is not high enough to be considered an ionic bond even though \( H \) is a metal.
B. The hydrogen atoms is sometimes considered a metal and in other considered a non-metal.
C. The electronegativity difference between the two atoms is high enough to be considered an ionic bond even though \( H \) is a non-metal.
D. The fluorine atoms are sometimes considered a metal and in other times considered a non-metal.
Subject: Maths
f \( z_{1}, z_{2}, z_{3} \) are unlmodular complex
numbers then the greatest value of
\( \left|z_{1}-z_{2}\right|^{2}+\left|z_{2}-z_{3}\right|^{2}+\left|z_{3}-z_{1}\right|^{2} \) equal
to
\( A \cdot 3 \)
B. 6
\( c \cdot s \)
\( D \cdot \frac{27}{2} \)
Subject: Physics
The height from earth's surface at
which acceleration due to gravity becomes \( \frac{g}{4} \) is (where \( g \) is acceleration due to gravity on the surface of earth and \( R \) is radius of earth)
A \( \cdot \sqrt{2} R \)
в. \( R \)
c. \( \frac{R}{\sqrt{2}} \)
D. 2R
Subject: Physics
A steel rod of length \( 0.5 \mathrm{km} \) is used in
the construction of a bridge. It has to
withstand a temperature change of
\( 40^{\circ} \mathrm{C} . \) The gap that is allowed for its
expansion is :
\( \left(\boldsymbol{\alpha}=\mathbf{1 0}^{-\mathbf{6}} /^{\circ} \boldsymbol{C}\right) \)
A. \( 0.02 \mathrm{cm} \)
B. 0.02mm
\( c .2 m \)
D. 20 mm