AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
Permanent hardness of water can be
removed by using washing soda
Reason

Washing soda reacts with soluble calcium and magnesium chlorides and sulphates in hard water to form
insoluble carbonates
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
\( \boldsymbol{F} \boldsymbol{e o}(\boldsymbol{s}) \stackrel{\boldsymbol{H e a t}}{\rightarrow} \boldsymbol{F e O}(\boldsymbol{l}) \stackrel{\boldsymbol{H e a t}}{\rightarrow} \boldsymbol{F e O}(\boldsymbol{g}) \stackrel{\boldsymbol{H e a t}}{\rightarrow} \)
\( \boldsymbol{X}+\boldsymbol{Y} \)
The end products of the above heating processes may be?
A \( \cdot F e^{2+}(g) \) and \( O^{2-}(g) \)
B . \( F e^{2+}(g) \) and \( O^{+}(g) \)
C \( \cdot F e^{+}(g) \) and \( O^{2-}(g) \)
D. \( F e^{2-}(g) \) and \( O^{2-}(g) \)
Subject: Chemistry
\( \left[\boldsymbol{F} \boldsymbol{e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{2+} \) and \( \left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right]^{4-} \) differ
in
A. Geometry, magnetic moment.
B. Geometry, hybridization
c. Magnetic moment, colour
D. Hybridization, number of d-electrons.
Subject: Physics
Two thin long parallel wires separated by a distance \( b \) are carrying a current \( I \) ampere each. The magnitude of the force per unit length exerted by one wire on the other is
A \( \frac{\mu_{0} I^{2}}{b^{2}} \)
в. \( \frac{\mu_{0} I^{2}}{2 \pi b} \)
c. \( \frac{\mu_{0} I}{2 \pi b} \)
D. \( \frac{\mu_{0} I}{2 \pi b^{2}} \)
Subject: Physics
A person reaches a point directly opposite on the other bank of a river. The velocity of the water in the river is \( 4 m s^{-1} \) and the velocity of the person in
still water is \( 5 m s^{-1} \). If the width of the
river is \( 84.6 ~ m, \) time taken to cross the
river in seconds is:
A . 9.4
B. 2
c. 84.6
D. 28.2
Subject: Physics
If both the mass and radius of the earth
decrease by \( 1 \% \) the value of This question has multiple correct options
A. acceleration due to gravity would decrease by nearly \( \% \)
B. acceleration due to gravity would increase by 1\%
c. escape velocity from the earth's surface would decrease by \( 1 \% \)
D. the gravitational potential energy of a body on earth's's surface will remain unchanged
Subject: Chemistry
Match column I with item of column II.
\( \begin{array}{llll} & \text { Column I } & & \text { Column II } \\ \text { I. } & \text { Lohi } & \text { A. } & \text { Hosiery } \\ \text { II. } & \text { Nali } & \text { B. } & \text { Coarse wool } \\ \text { III. } & \text { Patanwadi } & \text { C. } & \text { Carpet wool } \\ \text { IV. } & \text { Marwari } & \text { D. } & \text { Good quality wool }\end{array} \)
Select the correct alternative.
A. \( |-D,||-C,|||-A, \mid V-B \)
B. I-D, II-B, III-A, IV-C
C. \( \mid-\mathrm{C}, \) ।I-В, \( , \) II \( -\mathrm{A}, \) IV-D
D. I-B, II-C, III-A, IV-D
Subject: Chemistry
\( \boldsymbol{X} \stackrel{\text {StepI}}{\longrightarrow} \boldsymbol{Y} \stackrel{\text {StepII}}{\longrightarrow} \boldsymbol{Z} \) is a complex
reaction. Total order of reaction is 2 and
step II is slow step. What is molecularity of step II?
\( A \cdot 2 \)
B. 1
\( c \cdot 3 \)
D. 4
Subject: Physics
Two identical metal sphere carrying
charges of \( 9 \times 10^{-9} C \) and \( -3 \times 10^{-9} \mathrm{C} \)
are brought in contact and then they are separated by a distance of \( 3 \mathrm{m} \) and kept in a medium of dielectric constant 5
what is the electrostatic force between
them ?
A \( .1 .25 \times 10^{-9} N \)
В. \( 1.8 \times 10^{-9} N \)
c. \( 3 \times 10^{-9} N \)
D . \( 2.5 \times 10^{-9} N \)
Subject: Maths
Check whether the probabilities \( \boldsymbol{P}(\boldsymbol{A}) \)
and \( P(B) \) are consistently defined \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 5}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})= \)
\( \mathbf{0 . 8} \)
Subject: Physics
A rigid body is rotating about a vertical
axis at \( n \) rotations per minute. If the
axis slowly becomes horizontal in \( t \)
seconds and the body keeps on rotating
at \( n \) rotations per minute then the
torque acting on the body will be, if the moment of inertia of the body about axis of rotation is \( \boldsymbol{I} \)
A. Zero
В. \( \frac{2 \pi n I}{60 t} \)
c. \( \frac{2 \sqrt{2} \pi n I}{60 t} \)
D. \( \frac{4 \pi n I}{60 t} \)
Subject: Maths
Range of the function \( \boldsymbol{f}(\boldsymbol{x})= \) \( \frac{\sec ^{2} x-\tan x}{\sec ^{2} x+\tan x}-\frac{\pi}{2}<x<\frac{\pi}{2}, \) is
\( A \cdot R \)
в. \( R-\left(\frac{1}{3}, 3\right) \)
c. \( \left[\frac{1}{3}, 3\right] \)
D. \( \left[-1, \frac{5}{3}\right. \)
Subject: Physics
Which of the following expressions is known as Clausius inequality?
A \( \cdot \oint \frac{d q}{T} \leq 0 \)
В \( \cdot \oint \frac{d q}{T}=0 \)
c. \( \oint \frac{T}{d q} \leq 0 \)
\( \mathbf{D} \cdot \oint \frac{d q}{T} \geq \leq 0 \)
Subject: Chemistry
Which of the following statements is/are wrong?
I) \( B i^{3+} \) is more stable than \( B i^{5+} \)
II) \( M n \) shows +8 oxidation state.
III) The oxidation state of an element is
always less than or equal to its group number.
IV) \( s- \) Block elements show variable
oxidation states.
A. Il and IV
c. ।, ॥ and III
D. II, III and IV
Subject: Chemistry
The electronic configuration of
halogens in their valence shell is:
\( A \cdot n s^{2} \)
B. \( \mathrm{ns}^{2} \mathrm{np}^{6} \)
\( c \cdot n s^{0} \)
D. \( \mathrm{ns}^{2} \mathrm{np}^{5} \)
Subject: Maths
PQR is a triangle right angled at \( P \) and M is a point on QR such that PM \( \perp \) QR. Show that \( \boldsymbol{P} \boldsymbol{M}^{2}=\boldsymbol{Q} \boldsymbol{M} \cdot \boldsymbol{M} \boldsymbol{R} \)
Subject: Maths
\( \operatorname{Let} g(x)= \)
\( \left\{\begin{array}{ll}2(x+1), & -\infty<x \leq-1 \\ \sqrt{1-x^{2}}, & -1<x<1 \\ |x+1|, & 1 \leq x<\infty\end{array} \) then \right.
A \( \cdot g(x) \) is discontinuous at exactly three points
B . \( g(x) \) is continuous in \( (-\infty, 1] \)
C \( \cdot g(x) \) is continuous in \( [1, \infty) \)
D. \( g(x) \) has finite type of discontinuity at \( x=1, \) but continuous at \( x=-1 \)
Subject: Chemistry
In the following reaction \( : \boldsymbol{C r}(\boldsymbol{O H})_{3}+ \)
\( \boldsymbol{O H}^{-}+\boldsymbol{I O}_{3}^{-} \rightarrow \boldsymbol{C r} \boldsymbol{O}_{4}^{2-}+\boldsymbol{H}_{2} \boldsymbol{O}+ \)
\( \boldsymbol{I}^{-}: \)
A \( \cdot I O_{3} \) - is oxidising agent
B. \( C r(O H)_{3} \) is oxidised
C. \( 6 e^{-} \) are being taken per iodine atom
D. all of these
Subject: Physics
In a meter bridge experiment, the null point is obtained at \( 20 \mathrm{cm} \) from one end of the wire when resistance \( \boldsymbol{X} \) is
balanced against another resistance \( Y \)
If \( X<Y \), then where will the new position of the null point be from the
same end, if one decides to balance a
resistance of \( 4 X \) against \( Y ? \)
\( \mathbf{A} \cdot 40 \mathrm{cm} \)
в. \( 80 \mathrm{cm} \)
\( c .50 \mathrm{cm} \)
D. \( 70 \mathrm{cm} \)
Subject: Chemistry
\( \boldsymbol{X}+\boldsymbol{K}_{2} \boldsymbol{C O}_{3}+ \) Air \( \stackrel{\text {heat}}{\longrightarrow}(\boldsymbol{Y}) \)
\( \boldsymbol{Y}+\boldsymbol{C l}_{2} \rightarrow \boldsymbol{Z}(\text { pink }) \)
Which of the following is correct?
A. \( X= \)Black,MnO\( _{2} ; Y= \)Blue,K\( _{2} \)Cr\( O_{4} ; Z=K M n O_{4} \)
B. \( X= \)Green, \( C r_{2} O_{3} ; Y= \)Yellow,K\( _{2} C r O_{4} ; Z= \)
\( K_{2} C r_{2} O_{7} \)
c. \( X= \)Black,MnO\( _{2} ; Y= \)Green, \( K_{2} \) Mn \( O_{4} ; Z= \)
\( K M n O_{4} \)
D. \( X= \)Black, Bi\( _{2} \) O\( _{3} ; Y= \)Colourless, KBiO\( _{2} ; Z= \)
\( K B i O_{3} \)
Subject: Maths
Evaluate each of the following using identities:
¡) \( (399)^{2} \)
ii) \( (0.98)^{2} \)
iii) \( 991 \times 1009 \)
A . i ) 159876 ì 0.9
iii) 876590
в. ¡ ¡) 135879
ii) 0.87
iii) 896750
\( c \cdot \) i) 15920
ii) 0.9604
iii) 999919
D. i) 138760
ii) 0.9
iii) 999999
Subject: Maths
Let \( R \) be a relation from \( N \) to \( N \) defined
by \( R=\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} . \) Is
the following statement true for \( (a, b) \in \) \( \boldsymbol{R} \Rightarrow(\boldsymbol{b}, \boldsymbol{a}) \in \boldsymbol{R} ? \)
A. True
B. False
Subject: Chemistry
The minium energy required for the emisson of a metal elctrons is
\( 133.24 \times 10^{-16} J . \) Calculate the cirtical
frequency and the correspoding wavelength of he photon (thesehold wavelength) required to eject the electron?
A light source of wavelength \( \lambda \) illuinates
a metal and ejects photo electrons with
\( (\boldsymbol{K} \boldsymbol{E})_{\max }=\mathbf{1} \boldsymbol{e} \boldsymbol{V} \)
Another light source of wavelength \( \frac{\lambda}{3} \)
ejects photoelectrons from same metal
with \( (\boldsymbol{K} \boldsymbol{E})=\boldsymbol{S} e \boldsymbol{V} \). Find the value of
work function \( (e V) \) of metal.
Subject: Physics
A point charge 'q' is placed outside solid copper sphere at a distance 'r'from its centre. Consider point 'p' inside the solid sphere at a distance 'x' from the point charge. Then
A. Charge density is uniform on the surface of the sphere
B. Electric field due to induced charge at point 'p' is \( \frac{k q}{x^{2}} \)
c. Electric potential due to induced charge at point 'p' is \( \frac{k q}{r} \frac{k q}{x} \)
D. There is a net force in the sphere towards the point charge 'q'
Subject: Physics
A man weight \( W \) on the surface of the
earth and his weight at a height \( \boldsymbol{R} \) from
surface of the earth is \( (R \) is radius of
the earth)
A \( \cdot \frac{W}{4} \)
в. \( \frac{W}{2} \)
c. \( W \)
D. \( 4 W \)
Subject: Chemistry
All the products formed in the oxidation
of \( N a B H_{4} \) by \( I_{2}, \) are:
A. \( B_{2} H_{6} \) and \( N a I \)
B. \( B_{2} H_{6}, H_{2} \) and \( N a I \)
\( \mathrm{c} . B I_{3} \) and \( N a H \)
D. \( N a B I_{4} \) and \( H I \)
Subject: Physics
A simple pendulum has a length \( l \)
mass of bob \( m \). The bob is given a
charge \( q . \) The pendulum is suspended
between the vertical plates of the
charged parallel plate capacitor. If \( \boldsymbol{E} \) is
the field strength between the plates,
then time period \( \boldsymbol{T} \) equal to:
\( ^{\mathbf{A}} \cdot_{2 \pi} \sqrt{\frac{l}{g}} \)
\( ^{\mathbf{B}} \cdot_{2 \pi} \sqrt{\frac{l}{g+\frac{q E}{m}}} \)
\( ^{c} \cdot_{2 \pi} \sqrt{\frac{l}{g-\frac{q E}{m}}} \)
D.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{2} \\ \mathbf{2} & \mathbf{1}\end{array}\right] \) then \( \boldsymbol{a} \boldsymbol{d} \boldsymbol{j}(\boldsymbol{A})=? \)
\( \mathbf{A} \cdot\left[\begin{array}{cc}1 & -2 \\ -2 & 1\end{array}\right] \)
в. \( \left[\begin{array}{cc}2 & 1 \\ 1 & 1\end{array}\right] \)
c. \( \left[\begin{array}{cc}1 & -2 \\ -2 & -1\end{array}\right] \)
D. \( \left[\begin{array}{cc}-1 & 2 \\ 2 & -1\end{array}\right] \)
Subject: Chemistry
The de-Broglie wavelength of a \( H e- \)
atom in a container at \( 300 K \) is:
\( \left(\operatorname{luse} v_{a v g}\right) \)
\( \mathbf{A} \cdot 0.79 \stackrel{\circ}{A} \)
B \( \cdot 0.45 \stackrel{\circ}{h} \)
\( c \cdot 0.68 \stackrel{\circ}{8 A} \)
D. \( 0.89 \stackrel{\circ}{A} \)
Subject: Physics
An electron of stationary hydrogen atom jumps from 4 th energy level to ground level. The velocity that the photon acquired as a result of electron transition will be (h = Planck's constant,
\( \mathrm{R}= \) Rydberg's constant, \( \mathrm{m}= \) mass of photon)
A \( \cdot \frac{9 R h}{16 m} \)
в. \( \frac{11 h R}{16 m} \)
c. \( \frac{13 h R}{16 m} \)
D. \( \frac{15 h R}{16 m} \)
Subject: Maths
Rakesh went to a stationary shop to
purchase a total of 38 pens, erasers and sharpeners. He purchased at least 11
items of each. He purchased more
sharpeners than erasers and more
erasers than pens. If each pen cost Rs. 2
each eraser cost Rs. 3 and each
sharpener cost Rs. \( 4 . \) find the minimum
expenditure be could have incurred on the items (in Rs.)
A . 116
B . 118
c. 117
D. 119
Subject: Maths
If the two lines \( x+(a-1) y=1 \) and
\( \mathbf{2} \boldsymbol{x}+\boldsymbol{a}^{2} \boldsymbol{y}=\mathbf{1}(\boldsymbol{a} \in \boldsymbol{R}-\{\mathbf{0}, \mathbf{1}\}) \) are
perpendicular, then the distance of their point of intersection from the origin is:
A \( \cdot \frac{2}{5} \)
B. \( \frac{2}{\sqrt{5}} \)
c. \( \frac{\sqrt{2}}{5} \)
D. \( \sqrt{\frac{2}{5}} \)
Subject: Physics
A deuteron of kinetic energy 50 keV is describing a circular orbit of radius 0.5 metre in a plane perpendicular to the
magnetic field \( B \). The kinetic energy of the proton that describes a circular
orbit of radius 0.5 metre in the same
plane with the same \( B \) is
A . \( 25 ~ k e V \)
В. \( 50 \mathrm{keV} \)
c. \( 200 \mathrm{keV} \)
D. \( 100 \mathrm{keV} \)
Subject: Chemistry
The electronic configuration of gadolinium (Atomic No.64) is:
\( \mathbf{A} \cdot[X e] 4 f^{3} 5 d^{5} 6 s^{2} \)
\( \mathbf{B} \cdot[X e] 4 f^{6} 5 d^{2} 6 d^{2} \)
\( \mathbf{c} \cdot[X e] 4 f^{8} 5 d^{9} 6 s^{2} \)
\( \mathbf{D} \cdot[X e] 4 f^{7} 5 d^{1} 6 s^{2} \)
Subject: Maths
If \( \int \frac{\cos 4 x+1}{\cot x-\tan x} d x=A \cos 4 x+B \)
where \( A \& B \) are constants, then
A \( . A=-1 / 4 \& B \) may have any value
B. \( A=-1 / 8 \& B \) may have any value
c. \( A=-1 / 2 \& B=-1 / 4 \)
D. \( A=B=1 / 2 \)
Subject: Chemistry
Consider the cell;
\( \boldsymbol{V}^{2+}+\boldsymbol{V} \boldsymbol{O}^{2+}+\boldsymbol{2} \boldsymbol{H}^{+} \rightarrow \boldsymbol{2} \boldsymbol{V}^{3+}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} ; \boldsymbol{E}^{o}=\mathbf{0 . 6 1 6} \boldsymbol{V} \)
\( \boldsymbol{V}^{3+}+\boldsymbol{A} \boldsymbol{g}^{+}+\boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{V} \boldsymbol{O}^{2+}+ \)
\( \mathbf{2} \boldsymbol{H}^{+}+\boldsymbol{A} \boldsymbol{g} ; \boldsymbol{E}^{o}=\mathbf{0 . 4 3 9} \boldsymbol{V} \)
Potential of \( \boldsymbol{E}_{\boldsymbol{V}^{3+} / \boldsymbol{V}^{2+}}^{\boldsymbol{o}} \) is :
(Given that \( \left.\boldsymbol{E}_{A g^{+} / A g}^{o}=\mathbf{0 . 7 9 9} \boldsymbol{V}\right) \)
A. \( -0.256 V \)
\( v \)
B. \( 0.256 \mathrm{V} \)
c. \( 1.055 V \)
D. \( 0.177 V \)
Subject: Maths
Find the value of \( x \).
\( \sqrt{\mathbf{3}} \boldsymbol{x}-\mathbf{2}=\mathbf{2} \sqrt{\mathbf{3}}+\mathbf{4} \)
\( \mathbf{A} \cdot x=2(1+\sqrt{3}) \)
в. \( x=(1+2 \sqrt{3} \)
c. \( x=3(2+\sqrt{2}) \)
D. \( x=-2(3+\sqrt{3}) \)
Subject: Chemistry
The following reaction occurs in the Blast Furnace where iron ore is reduced to iron metal:
\( \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{3} \boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{F} \boldsymbol{e}(\boldsymbol{l})+ \)
\( \mathbf{3} C O_{2}(\boldsymbol{g}) \)
Using Le Chatelier's principle, predict which one of the following will not disturb the equilibrium?
A. Removal of \( C O_{2} \)
B. Removal of \( C O \)
\( c . \) Addition of \( C O_{2} \)
D. Addition of \( F e_{2} O_{3} \)
Subject: Maths
If \( a+b+c \neq 0 \) and \( \left|\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right|=0 \)
then using properties of determinants, prove that \( \boldsymbol{a}=\boldsymbol{b}=\boldsymbol{c} \)
Subject: Maths
\( \int 3^{x} \cos 5 x d x= \)
A. \( \frac{3^{x}}{(\log 3)^{2}+25}[(\log 3) \cdot \cos 5 x-5 \sin 5 x]+c \)
B. \( \frac{3^{x}}{(\log 3)^{2}+25}[(\log 3) \cdot \cos 5 x+5 \sin 5 x]+c \)
C. \( \frac{3^{x}}{(\log 3)^{2}+25}[5 \cos 5 x-(\log 3) \cdot \sin 5 x]+c \)
D. \( \frac{3^{x}}{(\log 3)^{2}+25}[5 \cos 5 x+(\log 3) \cdot \sin 5 x]+c \)
Subject: Chemistry
Among the following, the isoelectronic species is/ are:
(i) \( \boldsymbol{O}^{2-}, \boldsymbol{F}^{-}, \boldsymbol{N} \boldsymbol{a}^{+}, \boldsymbol{M} \boldsymbol{g}^{2+} \)
\( (\text { ii }) N a^{+}, M g^{+}, A l^{3+}, F^{-} \)
(iii) \( N^{3-}, O^{2-}, F^{-}, N e \)
\( A \cdot \) (i) and (ii)
B. (i), (ii) and (iii)
c. (ii) and (iii)
D. (i) and (iii)
Subject: Physics
Figure shows the position-time graph of an object in SHM. The correct equation
representing this motion is :
A \( \cdot \sin \left(\frac{2 \pi}{5} t+\frac{\pi}{6}\right) \)
B. \( 4 \sin \left(\frac{\pi}{5} t+\frac{\pi}{6}\right) \)
c. \( \operatorname{tain}\left(\frac{2 \pi}{6} t+\frac{\pi}{3}\right. \)
D. \( 4 \sin \left(\frac{2 \pi}{6} t+\frac{\pi}{6}\right) \)
Subject: Chemistry
\( N a C l \) is doped with \( 10^{-6} \) mol \( \% S r C l_{2} \)
the concentration of cation vacancies
is:
[Heat concentration of vacancies \( = \) \( \left.\frac{10^{-4}}{100} N_{A}\right] \)
A \( \cdot 6.02 \times 10^{15} \mathrm{mol}^{-1} \)
В. \( 6.02 \times 10^{16} \mathrm{mol}^{-1} \)
c. \( 6.02 \times 10^{17} \mathrm{mol}^{-1} \)
D. \( 6.02 \times 10^{14} \mathrm{mol}^{-1} \)
Subject: Chemistry
What is the final velocity of an electron accelerating through a potential of 1600 \( V, \) if its initial velocity is zero?
A \( .2 .37 \times 10^{9} \mathrm{ms}^{-1} \)
В. \( 4.74 \times 10^{7} \mathrm{ms}^{-1} \)
c. \( 2.37 \times 10^{7} m s^{-1} \)
D. None of these
Subject: Physics
The transition from from the state \( n= \)
5 to \( n=1 \) in a hydrogen atom results in
\( U V \) radiation. Infrared radiation will be
obtained in the transition.
\( \mathbf{A} \cdot 2 \rightarrow 1 \)
B . \( 3 \rightarrow 2 \)
c. \( 4 \rightarrow 3 \)
\( \mathbf{D} \cdot 6 \rightarrow 2 \)
Subject: Maths
A large mixing tank currently contains
200 gallons of water into which 10 pounds of sugar have been mixed. A tap
will open pouring 20 gallons per minute
of water into the tank at the same time
sugar is poured into the tank at a rate
of 2 pound per minute. Find the concentration (pounds per gallon) of sugar in the tank after 14 minutes.
Then
A. the concentration is greater than at the beginning?
B. the concentration lesser than at the beginning?
c. the concentration equal to the concentration at the beginning?
D. None of the above
Subject: Chemistry
A salt is formed due to the reaction
between an oxy acid containing chlorine and a base containing a monovalent metal of atomic mass \( x \). The number of
oxygen atoms in one molecule of the acid is more than the corresponding 'ic' acid. Calculate the molecular mass of
the salt
A \( \cdot 83.5+\frac{x}{4} \)
B. 99.5 + \( x \)
\( c \cdot 83.5+x \)
D. \( 99.5+\frac{x}{2} \)
Subject: Chemistry
The \( t_{1 / 2} \) for \( ^{14} \mathbf{C} \) in (i) \( ^{14} \mathrm{CO}_{2} \) (ii) \( ^{14} C_{6} \mathbf{H}_{12} \mathrm{O}_{6}(\text { iii }) \) coal containing \( ^{14} \mathbf{C}(i \boldsymbol{v}) \)
cellulose containing \( ^{14} \mathbf{C} \) is :
\( \mathbf{A} \cdot \operatorname{more} \operatorname{in}^{14} \mathrm{CO}_{2} \)
B. more in coal containing \( ^{14} \mathrm{C} \)
c. more in \( ^{14} C_{6} \mathrm{H}_{12} \mathrm{O}_{6} \)
D. same in all species
Subject: Chemistry
Mg burns in air to form two compound
(A) and (B). (A) is sparingly soluble in water and the resulting solution is weakly basic. (B) dissolve in water to
form (C) and gas (D) with dilute \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) gives (E). E on heating gives gas (F)
which behaves as an oxidising agent too. Gas \( F \) on reaction with phosphorus produce an important dehydrating agent (G). The compound G is:
\( \mathbf{A} \cdot P_{4} O_{10} \)
\( \mathbf{B} \cdot H P O_{3} \)
\( \mathbf{c} \cdot P C l_{5} \)
D. \( P_{4} O_{6} \)
Subject: Maths
From the following figure find value of
\( \boldsymbol{X} \boldsymbol{Y} \) if \( \angle \boldsymbol{A} \boldsymbol{O} \boldsymbol{B}=\angle \boldsymbol{X} \boldsymbol{O} \boldsymbol{Y} \)
3. 11
\( r \)
2
Subject: Chemistry
Ammonia gas cannot be dried by passing through:
This question has multiple correct options
A \( \cdot \) conc. \( H_{2} S O_{4} \)
B. anhydrous \( C a O \)
\( \mathbf{c} \cdot P_{2} O_{5} \)
D. \( \mathrm{CuSO}_{4} \)
Subject: Maths
Consider the function.
\( f(x)=3 x^{4}-20 x^{3}-12 x^{2}+288 x+1 \)
In which one of the following intervals is the function decreasing?
\( \mathbf{A} \cdot(-1,0) \)
в. (0,2)
c. \( (2, \infty) \)
D. none of these
Subject: Biology
Assertion
The most widely used compound as
source of ethylene is ethephon.
Reason
Ethephon hastens fruit ripening in tomatoes and apples and accelerates abscission in stems and leaves.
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
The position and velocity of a particle executing simple harmonic motion at \( t=0 \) are given by \( 3 \mathrm{cm} \) and \( 8 \mathrm{cm} / \mathrm{s} \)
respectively. If the angular frequency of the particle is \( 2 r a d / s \), then the amplitude of oscillation, in centimeters
is?
A . 3
B. 4
c. 5
D. 6
\( E \)
Subject: Maths
f \( x, y \) and \( z \) are all distinct and \( \left|\begin{array}{lll}\boldsymbol{x} & \boldsymbol{x}^{2} & \boldsymbol{1}+\boldsymbol{x}^{3} \\ \boldsymbol{y} & \boldsymbol{y}^{2} & \boldsymbol{1}+\boldsymbol{y}^{3} \\ \boldsymbol{z} & \boldsymbol{z}^{2} & \boldsymbol{1}+\boldsymbol{z}^{3}\end{array}\right|=\mathbf{0}, \) then the value of
\( x y z \) is.
A . -4
B. -
\( c .-2 \)
D. - -
Subject: Physics
The correct statement is
A. The nucleus \( _{3}^{6} L i \) can emit an alpha particle
B. The nucleus 210 84 Po can emit a proton.
C. Deuteron and alpha particle can undergo complete fusion.
D. The nuclei 70
30 \( Z n \) and 82
34 \( \mathrm{Se} \) can undergo complete
fusion.
Subject: Biology
Calculate the number of nitrogen bases in E.coli, if the length of E.coli DNA is 1.36
\( \mathrm{mm} \)
A \( \cdot 4 \times 10^{6} \)
B. \( 8 \times 10^{6} \)
\( c \cdot 2 \times 10^{6} \)
D. \( 16 \times 10^{6} \)
Subject: Chemistry
Assertion
Compounds of \( \boldsymbol{H} \boldsymbol{g}^{2+} \) ions having an ionic radius of 116 pm are more covalent in character than those of
\( C a^{2+} \) ions with almost identical size
\( 114 p m) \) and the same charge.
Reason
For two ions of the same size and
charge, one with an \( (\boldsymbol{n}-\mathbf{1}) \boldsymbol{d}^{10} \boldsymbol{n s}^{\mathbf{0}} \)
electronic configuration will be more
polarizing than a cation with an \( (n- \)
1) \( s^{2}(n-1) p^{6} n s^{0} \) electronic
configuration.
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: Maths
\( n \stackrel{L t}{\rightarrow} \infty\left\{\frac{1}{n+1}+\frac{1}{n+2}+\ldots+\frac{1}{6 n}\right\}= \)
\( A \cdot \log 2 \)
B. \( \log 3 \)
\( c \cdot \log 5 \)
\( D \cdot \log 6 \)
Subject: Physics
In the shown arrangement of the experiment of the meter bridge if \( \mathrm{AC} \)
corresponding to null deflection of
galvanometer is \( x, \) what would be its value if the radius of the wire \( \mathrm{AB} \) is
doubled :-
\( A \)
в. \( \frac{x}{4} \)
\( c \cdot 4 x \)
\( D \cdot 2 \)
Subject: Maths
the following cumulative frequency
distribution:
\( \begin{array}{ll}\text { Marks } & \text { Number of students } \\ \text { o and above } & 80 \\ \text { 10 and above } & \text { 77 } \\ \text { 20 and above } & \text { 72 } \\ \text { 30 and above } & 65 \\ \text { 40 and above } & \text { 55 } \\ \text { 50 and above } & \text { 43 } \\ \text { 60 and above } & 28 \\ \text { 70 and above } & 16 \\ \text { 80 and above } & 10 \\ \text { 90 and above } & 8 \\ \text { 100 and above } & \text { 0 }\end{array} \)
Subject: Chemistry
The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC system of nomenclature is:
A \( .-C O O H>-S O_{3} H>-C O N H_{2}>-C H O \)
в. \( -S O_{3} H>-C O O H>-C O N H_{2}>-C H O \)
c. \( -C H O>-C O O H>-S O_{3} H>-C O N H_{2} \)
D. \( -C O N H_{2}>-C H O>-S O_{3} H>-C O O H \)