AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Which statements are correct about the
figure given.
This question has multiple correct options
\( A \cdot \) It is sucrose
B. Due to presence of hemi-acetal linkage, it is nonreducing sugar
C. Left side unit is \( \alpha \) -D-Glucose and right side unit is \( \beta \) -D-
Fructose
D. Absence of hemi-acetal linkage
Subject: Chemistry
In following cell reaction
\( M g(s)+2 A g^{+}(0.001 M) \rightarrow \)
\( M g^{2+}(0.20 M)+2 A g(s) \)
Calculate \( E_{\text {cell}} \) for the reaction \( \left[E^{o}=\right. \) \( \left.\mathbf{3 . 1 7} \boldsymbol{V}, \frac{\mathbf{2 . 3 0} \boldsymbol{R} \boldsymbol{T}}{\boldsymbol{F}}=\mathbf{0 . 0 5 4}\right] \)
\( A \cdot 2.63 V \)
B. 3.01V
c. \( 3.33 v \)
D. 3.51V
Subject: Maths
f \( x \) is the \( n^{t h} \) term of the \( A P \)
\( 5 \frac{1}{2}, 11,16 \frac{1}{2}, 22 \ldots \ldots \) with \( x=550 \)
find \( ^{\prime} \boldsymbol{n}^{\prime} \)
Subject: Physics
In double slit experiment, when interference pattern due to whitelight is observed by an observer through a transparent glass of green colour, he finds black and green bright fringes. If green glass is replaced by violet colour glass, then:
A. No interference pattern will appear
B. Bright violet fringes will appear to be of smaller width than green fringes
C. Bright violet fringes will appear to be of more width than green fringes
D. Bright fringes will be produced of the same width as that of green fringes
Subject: Physics
A ship sends a sonar wave to the sea bed which is flat and measured several
times over a large area. One day the reflected sound wave takes longer time than in previous measurements. The possible reason is :
A. the frequency of the sonar wave, generated by the equipment is lower than previous measurements
B. there is a solid object of large size in the path of sonar wave
c. there is a huge air bubble in the path of sonar wave
D. the loudness of the sonar wave, generated by the equipment is lower than previous measurement
Subject: Physics
In an A.C. circuit, the current flowing in
inductance is \( \boldsymbol{I}=\mathbf{5} \sin (\mathbf{1 0 0} \boldsymbol{t}-\boldsymbol{\pi} / \mathbf{2}) \)
amperes and the potential difference is
\( \boldsymbol{V}=\mathbf{2 0 0} \sin (\mathbf{1 0 0} \boldsymbol{t}) . \) The power
consumption is equal to
A. 1000 watt
B. 40 watt
c. 20 watt
D. zero
Subject: Maths
Cartesian equation of the plane \( \bar{r}= \) \( (1+\lambda-\mu) \bar{i}+(2-\lambda) \bar{j}+(3-2 \lambda+ \)
\( 2 \mu) \bar{k} \) is :
A \( .2 x+y=5 \)
в. \( 2 x-y=5 \)
c. \( 2 x+z=5 \)
D. \( 2 x-\mathrm{z}=5 \)
Subject: Physics
The ratio of the deBroglie wave length for the electron and proton moving with same velocity is:
\( \left[m_{p}-\text { mass of propton, } m_{e}- \) mass of \right. electron]
\( \mathbf{A} \cdot m_{p}: m_{e} \)
в. \( m_{p}^{2}: m_{e}^{2} \)
\( \mathbf{c} \cdot m_{e}: m_{p} \)
D. \( m_{e}^{2}: m_{p}^{2} \)
Subject: Biology
0
primary sludge and activated sludge
and select the incorrect ones.
\( \begin{array}{lll} & \text { Primary Sludge } & \text { Activated sludge } \\ \text { (i) } & \begin{array}{l}\text { It is sludge } \\ \text { formed during } \\ \text { primary sewage } \\ \text { treatment. }\end{array} & \begin{array}{l}\text { It is sludge formed } \\ \text { during secondary } \\ \text { sewage treatment. }\end{array} \\ \text { (ii) } & \begin{array}{l}\text { It possesses flocs } \\ \text { of decomposer } \\ \text { microbes. }\end{array} & \begin{array}{l}\text { It does not possess } \\ \text { flocs of }\end{array} \\ \text { (iii) } & \begin{array}{l}\text { decomposer } \\ \text { microbes. }\end{array} \\ \text { (iv) } & \begin{array}{l}\text { It does not } \\ \text { require aeration. }\end{array} & \begin{array}{l}\text { Formation of } \\ \text { activated sludge } \\ \text { requires aeration. }\end{array} \\ \begin{array}{l}\text { A lotof } \\ \text { decomposition } \\ \text { occurs during } \\ \text { formation of } \\ \text { primary sludge. }\end{array} & \begin{array}{l}\text { Very little } \\ \text { decomposition } \\ \text { occurs during } \\ \text { formation of } \\ \text { activated sludge. }\end{array}\end{array} \)
A. (i) and (ii)
B. (ii) and (iv)
\( y(i v) \)
c. only
D. (ii) and (iii)
Subject: Chemistry
Give a balanced equation for thermal dissociation of a solid [both containing the chloride ion].
A \( \cdot 2 N H_{4} C l(s) \rightleftharpoons N_{2} H_{6}(g)+2 H C l(g) \)
B. \( N H_{4} C l(s) \rightleftharpoons N H_{3}(g)+C l_{2}(g) \)
c. \( N H_{4} C l(s) \rightleftharpoons N H_{3}(g)+H_{2}(g) \)
D. \( N H_{4} C l(s) \rightleftharpoons N H_{3}(g)+H C l(g) \)
Subject: Chemistry
The value of \( K_{c} \) is 0.50 for the reaction
\( N_{2}+3 H_{2} \rightleftharpoons 2 N H_{3}, \) at \( 400^{\circ} C \)
Calculate the value of \( K_{p} \) for the given
reaction at the same temperature. \( (R=0.082 \text { atm deg mole }) \)
Subject: Chemistry
The relative strength of two weak bases at same concentration may be given as:
This question has multiple correct options
\( ^{\mathbf{A}} \cdot \frac{K_{b_{1}}}{K_{b_{2}}} \)
\( ^{\mathrm{B}} \cdot\left[\frac{\left[O H^{-}\right]_{1}}{\left[O H^{-}\right]_{2}}\right. \)
c. \( \frac{\alpha_{1}}{\alpha_{2}} \)
D. \( \frac{\sqrt{K_{b_{1}}}}{\sqrt{K_{b_{2}}}} \)
Subject: Physics
A ray of light passes from glass, having
a refractive index of \( 1.6, \) to air. The angle of incidence for which the angle of refraction is twice the angle of incidence is
A \( \cdot \sin ^{-1}\left(\frac{4}{5}\right) \)
в. \( \sin ^{-1}\left(\frac{3}{5}\right) \)
\( ^{\mathbf{c}} \cdot \sin ^{-1}\left(\frac{5}{8}\right) \)
D. \( \sin ^{-1}\left(\frac{2}{5}\right) \)
Subject: Physics
A body of mass \( 60 k g \) is dragged with
just enough force to start moving on a rough surface with coefficients of static
and kinetic friction 0.5 and 0.4
respectively. On applying the same force what is the acceleration?
A \( \cdot 0.98 m / s^{2} \)
в. \( 9.8 m / s^{2} \)
\( \mathbf{c} \cdot 0.54 m / s^{2} \)
D. \( 5.292 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Physics
Assertion
Sometime, a crackling sound is heard
while taking off sweater during winters.
Reason
This is due to static electric charges.
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
Complete and balance the given
reaction:
\( \boldsymbol{P b}\left(\boldsymbol{N} \boldsymbol{O}_{3}\right)_{2} \stackrel{\boldsymbol{h e a t}}{\longrightarrow} \)
Which among the following are form a part of the product:
This question has multiple correct options
A. \( P b O \)
в. \( N O_{2} \)
\( c \cdot O_{2} \)
D. \( P b N O_{2} \)
Subject: Physics
Assertion
Dust particles generally settle down
gradually in a closed room.
Reason
The terminal velocity is inversely proportional to the square of their radii.
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
A students plots a graph between inverse of magnification \( 1 / \mathrm{m} \) produced by a convex thin lens and the object
distance \( u \) as shown in figure. What
was the focal length of the lens used?
\( A \cdot \frac{b}{c^{2}} \)
в. \( b c c \)
\( c \)
\( b \)
\( D \)
Subject: Maths
If \( A, B \) and \( C \) are three finite sets then
what is \( [(\boldsymbol{A} \cup \boldsymbol{B}) \cap \boldsymbol{C}]^{\prime} \) equal to?
A \( \cdot\left(A^{\prime} \cup B^{\prime}\right) \cap C^{\prime} \)
B \( \cdot A^{\prime} \cap\left(B^{\prime} \cap C^{\prime}\right) \)
c. \( \left(A^{\prime} \cap B^{\prime}\right) \cup C^{\prime} \)
D. \( (A \cap B) \cap C \)
Subject: Chemistry
The following flow diagram represents the manufacturing of sodium
carbonate?
\( \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3}+\boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{C} \boldsymbol{O}_{2} \longrightarrow \)
\( \left(N H_{4}\right)_{2} C O_{3}(a q) \stackrel{(a)}{\longrightarrow} N H_{4} H C O_{3} \stackrel{(b)}{\longrightarrow} \)
\( \boldsymbol{N} \boldsymbol{a} \boldsymbol{H} \boldsymbol{C O}_{3}+(\boldsymbol{c}) \)
\( \downarrow(d) \)
\( N a_{2} C O_{3}+C O_{2}+H_{2} O \)
Which of the following option describes the underlined reagents, products and reaction conditions?
A \( \cdot \) (a) - Carbon dioxide, \( (b)-N a C l,(c)-N H_{4} C l, \) (d) - Heat
B. (a) - Carbon dioxide, (b) - \( N a C l \), (c) \( -N H_{4} C l \), (d) Catalyst
c. (a) - Higher tempt., (b) - \( N a C l \), (c) \( -N H-4 C l \), (d) Heat
D. (a) - Higher pressure, (b) - \( N a C l \), (c) \( -N H_{4} C l \), (d) Catalyst
Subject: Physics
An ideal gas with adiabatic exponent \( =1.5 \) ) undergoes a process in which work done by the gas is same as increase in internal energy of the gas. The molar heat capacity of gas for the process is:
\( A \cdot C=4 R \)
B. \( c=0 \)
\( c \cdot c=2 R \)
D. \( c=R \)
Subject: Chemistry
Dimerization of benzoic acid occurs in
benzene solution, then the relation
between van't Hoff factor \( i \) and amount
of association \( x \) is:
A \( \cdot i=(1-x) \)
B . \( i=(1+x) \)
c. \( i=\left(1-\frac{x}{2}\right) \)
D. \( i=\left(1+\frac{x}{2}\right) \)
Subject: Chemistry
(where \( P \) is the pressure and \( T \) is the
temperature) for two solvents \( \boldsymbol{X} \) and \( \boldsymbol{Y} \)
and isomolal solutions of \( N a C l \) in
these solvents. Na Cl completely
dissociates in both the solvents.
On addition of an equal number of
moles a non-volatile solute \( S \) is equal
amount (in kg) of these solvents, the
elevation of the boiling point of solvent
\( X \) is three times that of solvent \( Y \)
Solute \( S \) is known to undergo dimerization in these solvents. If the
degree of dimerization is 0.7 in solvent
\( Y, \) the degree of dimerization in solvent
\( \boldsymbol{X} \) is:
Subject: Maths
Find the value of \( p \) for which the given
simultaneous equation has unique solution:
\( \mathbf{8} \boldsymbol{x}-\boldsymbol{p} \boldsymbol{y}+\mathbf{7}=\mathbf{0} ; \quad \mathbf{4} \boldsymbol{x}-\mathbf{2} \boldsymbol{y}+\mathbf{3}= \)
\( \mathbf{0} \)
A. All values of \( p \) except 4
в. \( p=7 \)
\( \mathbf{c} \cdot p=6 \)
D. All values of \( p \) except 5
Subject: Physics
Find how the tangential acceleration \( \omega_{\tau} \)
of the balloon depends on the height of
ascent.
A \( \cdot_{\omega_{\tau}}=\frac{2 a^{2} y}{\sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
B. \( _{\omega_{\tau}}=\frac{a^{2} y}{\sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
\( ^{\mathbf{c}} \cdot_{\omega_{\tau}}=\frac{a^{2} y}{\sqrt{1+\left(\frac{2 a y}{v_{0}}\right)^{2}}} \)
D. \( \omega_{\tau}=\frac{a^{2} y}{2 \sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
Subject: Maths
Area bounded by \( \mathbf{y}=\{\mathbf{x}\},\{.\} \) is
fractional part of function and \( \mathbf{x}=\pm \mathbf{1} \)
is in sq. units
\( \mathbf{A} \cdot \mathbf{1} \)
B. 2
\( c \cdot 3 \)
D. 4
Subject: Biology
Floral formula of Solanaceae is
A. \( \mathrm{Br} \oplus \bigoplus_{\mathrm{C}(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
B.
\( \oplus \bigoplus_{(5)} \mathrm{C}_{(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
\( \mathrm{Br} \)
c.
\( \oplus \bigoplus_{(5)} \widehat{C}_{(5)} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
\( \mathrm{Br} \)
\( \mathrm{Br} \oplus \bigoplus_{\mathrm{K}_{5} \mathrm{C}_{(5)}} \mathrm{A}_{5} \mathrm{G}_{(2)} \)
Subject: Maths
The value of \( \int\left(x e^{\ell n \sin x}-\cos x\right) d x \) is
equal to:
\( \mathbf{A} \cdot x \cos x+C \)
B. \( \sin x-x \cos +C \)
c. \( -e^{e n x} \cos x+C \)
\( \mathbf{D} \cdot \sin x+x \cos x+C \)
Subject: Physics
A hexagon of side \( 8 \mathrm{cm} \) has a charge 4
\( \mu C \) at each of its vertices. The potentia
at the centre of the hexagon is
A \( \cdot 2.7 \times 10^{6} \mathrm{v} \)
B \( .7 .2 \times 10^{11} \mathrm{v} \)
C \( .2 .5 \times 10^{12} \mathrm{v} \)
D. \( 3.4 \times 10^{4} \mathrm{v} \)
Subject: Maths
Draw a right triangle \( A B C \) in which \( B C=12 \mathrm{cm}, A B=5 \mathrm{cm} \) and \( \angle B= \)
\( 90^{0} . \) Construct a triangle similar to it and of scale factor \( \frac{2}{3} . \) Is the new triangle also a right triangle?
A. Yes
B. No
c. can't say
D. Data insufficient
Subject: Physics
Two horizontal metal plates having a
potential difference of \( 800 \mathrm{V} \) are \( 0.02 \mathrm{m} \) apart. A particle of mass \( 1.92 \times \) \( 10^{-15} \mathrm{kg} \) is suspended in equilibrium
between the plates. Ife is the elementry charge, then charge on the particle is:
\( A \)
B . 3 e
c. \( 6 \mathrm{e} \)
D. \( 8 \mathrm{e} \)
Subject: Maths
If \( \boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B})=1 ; \) then which of the
following option explains the event \( \boldsymbol{A} \)
and \( B \) correctly?
A. Event \( A \) and \( B \) are mutually exclusive, exhaustive and complementary events
B. Event \( A \) and \( B \) are mutually exclusive and exhaustive events
C. Event \( A \) and \( B \) are mutually exclusive and complementary events
D. Event \( A \) and \( B \) are exhaustive and complementary events
Subject: Chemistry
The chemical name of melamine
is
A. 2,4 -Diamino-1, 3,5 -triazine
B. 2-Amino-1,3, 5-triazine
c. 2,4,6 -Triamino- 1,3,5 -triazine
D. 1,3,5 -Triamino- 2,4,6 -triazine
Subject: Physics
A particle executes simple harmonic motion between \( x=-A \) and \( x=+A \).The
time taken by it to go from 0 to A /2 is \( T \)
1 and to go from \( A / 2 \) to \( A \) is \( T_{2} . \) Then
\( A \cdot T_{1}<T_{2} \)
B . \( T_{1}>T_{2} \)
\( \mathrm{c} \cdot \mathrm{T}_{1}=\mathrm{T}_{2} \)
D. \( \mathrm{T}_{1}=2 \mathrm{T}_{2} \)
Subject: Physics
The equation of a progressive wave is \( \boldsymbol{y}=\mathbf{8} \sin \left[\boldsymbol{\pi}\left(\frac{\boldsymbol{t}}{\mathbf{1 0}}-\frac{\boldsymbol{x}}{\mathbf{4}}\right)+\frac{\boldsymbol{\pi}}{\mathbf{4}}\right] . \) The
wavelength of the wave is
\( \mathbf{A} \cdot 8 m \)
B. \( 4 m \)
c. \( 2 m \)
D. \( 10 \mathrm{m} \)
Subject: Chemistry
A solution contains \( \boldsymbol{F e}^{+2}, \boldsymbol{F e}^{+\mathbf{3}} \) and \( \boldsymbol{I}^{-} \)
ions. This solution was treated with
iodine at \( 35^{\circ} \mathrm{C} \). Then the favourable
redox reaction is:
(Given that \( \boldsymbol{E}_{\boldsymbol{F} e^{+3} / \boldsymbol{F} e^{+2}}^{\boldsymbol{o}}= \)
\( \left.+\mathbf{0 . 7 7 V} ; \quad \boldsymbol{E}_{I_{2} / I^{-}}^{o}=\mathbf{0 . 5 3 6} \boldsymbol{V}\right) \)
A \( . I_{2} \) will be reduced to \( I^{-} \)
B. there will be no redox reaction
c. \( I^{-} \) will be oxidised to \( I_{2} \)
D. \( F e^{+} \) will be oxidised to \( F e^{+3} \)
Subject: Physics
An alpha nucleus of energy \( \frac{1}{2} m v^{2} e V \)
bombards a heavy nuclear target of
charge \( Z e . \) Then the distance of closest
approach for the alpha nucleus will be proportional to
This question has multiple correct options
A \( \frac{1}{Z e} \)
B \( \cdot v^{2} \)
c. \( \frac{1}{m} \)
D. \( \frac{1}{v^{2}} \)
Subject: Maths
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left(\sqrt{\boldsymbol{3}} \sin \left(\boldsymbol{2} \boldsymbol{x}+\frac{\boldsymbol{\pi}}{\boldsymbol{3}}\right)+\cos \left(\boldsymbol{2} \boldsymbol{x}+\frac{\boldsymbol{\pi}}{\boldsymbol{3}}\right)\right) \)
A. \( 4 \cos 2 x \)
B . \( -4 \sin 2 x \)
\( c .4 \sin 2 x \)
D. \( -4 \cos 2 x \)
Subject: Maths
The derivative of \( \ln (x+\sin x) \) with
respect to \( (x+\cos x) \) is
A \( \cdot \frac{1+\cos x}{(x+\sin x)(1-\sin x)} \)
B. \( \frac{1-\cos x}{(x+\sin x)(1+\sin x)} \)
c. \( \frac{1-\cos x}{(x-\sin x)(1+\cos x)} \)
D. \( \frac{1+\cos x}{(x-\sin x)(1-\cos x)} \)
Subject: Maths
If \( \boldsymbol{A}=\operatorname{diag}[\mathbf{2},-\mathbf{3},-\mathbf{5}], \boldsymbol{B}= \)
\( \operatorname{diag}[4,-6,-3] \) and \( C=\operatorname{diag}[-3,4,1] \)
then find
\( \mathbf{2 A}+\boldsymbol{B}-\mathbf{5} \boldsymbol{C} \)
Subject: Maths
\( A B C \) is an equilateral triangle of side 6 cm. If a circle of radius \( 1 \mathrm{cm} \) is moving inside and along the sides of the triangle, then locus of the centre of the circle is an equilateral triangle of side
A. \( 5 \mathrm{cm} \)
B. \( 4 \mathrm{cm} \)
c. \( (6-2 \sqrt{3}) \) ст
D. \( (3+\sqrt{3}) \) cm
Subject: Physics
In Wheatstone's bridge, three resistors
\( P, Q, R \) are connected in three arms in
order and \( 4^{t h} \) arm \( \mathrm{S} \) is formed by two
resistors \( s_{1} \) and \( s_{2} \) connected in
parallel. The condition for bridge to be balanced is: \( \frac{P}{Q}= \)
A \( \cdot \frac{R\left(s_{1}+s_{2}\right)}{s_{1} s_{2}} \)
В. \( \frac{s_{1} s_{2}}{R\left(s_{1}+s_{2}\right)} \)
c. \( \frac{R s_{1} s_{2}}{\left(s_{1}+s_{2}\right)} \)
D. \( \frac{\left(s_{1}+s_{2}\right)}{R s_{1} s_{2}} \)
Subject: Maths
If \( A^{-1}=\left[\begin{array}{ccc}3 & -1 & 1 \\ -15 & 6 & -5 \\ 5 & -2 & 2\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{ccc}1 & 2 & -2 \\ -1 & 3 & 0 \\ 0 & -2 & 1\end{array}\right] \), find \( (A B)^{-1} \)
Subject: Physics
A particle in linear SHM performs \( 30 s c / s e c . \) Its velocity is \( 0.120 m / s \) when it passes through the middle of its path. The length of path is
A. \( 0.012 \mathrm{cm} \)
B. \( 3.2 \mathrm{cm} \)
c. \( 0.04 c m \)
D. \( 1.2 \mathrm{cm} \)
Subject: Physics
Assertion
The images formed by total internal reflections are much brighter than those formed by mirrors or lenses
Reason

There is no loss of intensity in total
internal reflection.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Assertion
NaCl is precipitated when \( H C l \) gas is
passed in a saturated solution of \( N a C l \)
Reason
HCl is a strong acid.
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
Q Type your question
wire \( A C \) is \( 100 \mathrm{cm} . X \) is a standard
resistor of \( 4 \Omega \) and \( Y \) is a coil. When Y is
immersed in melting ice the null point
is at \( 40 \mathrm{cm} \) from point A. When the coil
Yis heated to \( 100^{\circ} \mathrm{C}, \) a \( 78 \Omega \) resistor has
to be connected in parallel with Y in order to keep the bridge balanced at the
same point. Temperature coefficient of resistance ofthe coil is
A \( \cdot 6.3 \times 10^{4} K^{1} \)
B . \( 4.3 \times 10^{4} K^{1} \)
c. \( 8.3 \times 10^{4} K^{1} \)
D \( .2 .3 \times 10^{4} K^{1} \)
Subject: Chemistry
The volume of the reaction vessel
containing an equilibrium mixture in the reaction is increased, when
equilibrium is re-established:
\( \boldsymbol{S} \boldsymbol{O}_{2} \boldsymbol{C l}_{2}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \)
A. the amount of \( S O_{2} \) will have decreased
B. the amount of \( S O_{2} C l_{2} \) will have increased
c. the amount of \( C l_{2} \) will have increased
D. the amount of \( C l_{2} \) will have remained unchanged
Subject: Maths
Of the 200 students at College \( T \) majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology. If at least 30 of the students are not majoring in either chemistry or biology, then the number of students majoring in both chemistry and biology could be any number from
A. 2020 to 50
B. 40 to 70
c. 50 to 130
D. 110 to 130
E. 110 to 150
Subject: Chemistry
In the reaction given below, identify the specie undergoing oxidation and reduction
\( \boldsymbol{H}_{2} \boldsymbol{S}(\boldsymbol{g})+\boldsymbol{C l}_{2} \rightarrow \boldsymbol{2} \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g})+\boldsymbol{S}(\boldsymbol{s}) \)
Subject: Maths
Let \( A \) be a \( 3 \times 3 \) matrix and \( B \) be its
adjoint matrix. If \( |\boldsymbol{B}|=\mathbf{6 4}, \) then \( |\boldsymbol{A}|= \)
\( A \cdot \pm 2 \)
B. ±4
\( c .\pm 8 \)
D. ±12
Subject: Maths
A plane is at a distance of 5 units from the origin and perpendicular to the vector \( 2 \hat{i}+\hat{j}+2 \hat{k} . \) The equation of the
plane is
A \( . \vec{r} .(2 \hat{\imath}+\hat{j}-2 \hat{k})=15 \)
в. \( \vec{r} .(2 \hat{i}+\hat{j}-\hat{k})=15 \)
c. \( \vec{r} .(2 \hat{i}+\hat{j}+2 \hat{k})=15 \)
D. \( \vec{r} .(\hat{i}+\hat{j}+2 \hat{k})=15 \)
E \( . \vec{r} .(2 \hat{i}-\hat{j}+2 \hat{k})=15 \)
Subject: Physics
The figure given shows the
displacement-time curve of two
particles \( P \) and \( Q . \) Which of the following
statements is correct?
A. Both \( P \) and \( Q \) move with uniform equal speed
B. \( P \) is accelerated \( Q \) is retarded
C. Both P and Q move with uniform speeds but the speed of \( P \) is more than the speed of \( Q \)
D. Both P and Q move with uniform speeds but the speed of \( Q \) is more than the speed of \( P \)
Subject: Chemistry
The radial part of the Schrodinger wave equation for hydrogen atom is given below:
\( \gamma(r)=\frac{1}{16 \sqrt{4} a_{0}^{3 / 2}}(\sigma-1)\left(\sigma^{2}-8 \sigma+\right. \)
\( \mathbf{1 2}) \boldsymbol{\theta}^{-\boldsymbol{\sigma} / \mathbf{2}} \)
Here, \( a_{0}= \) constant, \( \sigma=\frac{2 r}{n a_{0}} \) and \( n= \)
principal quantum number.
With respect to the above-given data,
select the correct statements.
This question has multiple correct options
A. Distance of the nearest radial node from the nucleus is
\( 2 a_{0} \)
B. Distance of the farthest radial node from the nucleus
is \( 12 a_{0} \)
c. Number of maxima in the curve \( \gamma(r) \) vs \( r \) is 4
D. The given equation of \( \gamma(r) \) represents \( 4 p \) orbital.
Subject: Chemistry
If a mole of hydrogen molecule is heated to a high temoerature then which of the following reactions take place?
A \( \cdot H_{2}(g)+436 k J m o l^{-1} \rightarrow H(g)+H(g) \)
B . \( 2 H 2(g)+820 k J m o l^{-1} \rightarrow 2 H_{2}(g) \)
C \( \cdot H_{2}(g)+H_{2}(g)+436 k J m o l^{-1} \rightarrow H_{(a q)}^{+}+H_{(a q)}^{-} \)
D. \( H_{2}(g)+200 k J m o l^{-1} \rightarrow H_{(g)}+H_{(g)} \)
Subject: Physics
A charge of \( +2 \mu C \) is placed at \( x=0 \) and a charge of \( -32 \mu C \) at \( x=60 \mathrm{cm} . \) Athird
charge - \( Q \) be placed on the \( x \) -axis such that it experiences no force. The distance of the point from \( +2 \mu C \) is (in \( (m) \)
\( A \cdot 30 \)
B. 20
c. 15
D. 10
Subject: Chemistry
Assertion
Tetraethyl lead is used to increase the octane number of gasoline.
Reason
It acts as negative catalyst and slows down the combustion of gasoline.
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
If \( \hat{a}, \hat{b} \) and \( \hat{c} \) are unit vectors satisfying \( |\hat{\boldsymbol{a}}-\hat{\boldsymbol{b}}|^{2}+|\hat{\boldsymbol{b}}-\hat{\boldsymbol{c}}|^{2}+|\hat{\boldsymbol{c}}-\hat{\boldsymbol{a}}|^{2}=\mathbf{9}, \) then
\( |2 \hat{a}+5 \hat{b}+5 \hat{c}| \) is
\( A \cdot 3 \)
B. 4
c. 5
D. 6
Subject: Chemistry
The correct statement is :
\( \mathbf{A} \cdot B F_{3} \) is the strongest Lewis acid among the other boron halides
B. \( B I_{3} \) is the weakest Lewis acid among the boron halides
C. there is a maximum \( p \pi-p \pi \) back bonding in \( B F_{3} \)
D. there is a minimum \( p \pi-p \pi \) back bonding in \( B F_{3} \)
Subject: Maths
Axis of a parabola is \( y=x \) and vertex
and focus are at a distance \( \sqrt{2} \) and \( 2 \sqrt{2} \) respectively from the origin. The equation of the parabola is
A \( \cdot(x-y)^{2}=8(x+y-2) \)
B . \( (x+y)^{2}=2(x+y-2) \)
c. \( (x-y)^{2}=4(x+y-2) \)
D. \( (x+y)^{2}=2(x-y+2) \)