AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A ball is projected vertically up with a
velocity of \( 20 m s^{-1} . \) Its velocity, when
the displacement is \( 15 m, \) is......... \( m s^{-1} \)
(Take \( \boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2} \mathbf{)} \)
A . 10
B. 15
\( c \cdot-10 \)
D. Both (A) and (C)
Subject: Maths
A rectangle and a parallelogram are on
the same base and between the same
parallels. If the area of the rectangle is \( 50 c m^{2}, \) then what is the area of the
parallelogram?
\( \mathbf{A} \cdot 20 \mathrm{cm}^{2} \)
B. \( 60 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 30 c m^{2} \)
D. \( 50 c m^{2} \)
Subject: Physics
Assume that each atom of copper
contributes one free electron. The
density of copper is 9 g \( c m^{-3} \) and atomic weight of copper is \( 63 . \) If the current flowing is 1.1 amperes, the drift velocity electrons will be :-
A . \( 0.01 \mathrm{mm} s^{-1} \)
B . 0.02 \( \mathrm{mm} \mathrm{s}^{-1} \)
c. \( 0.3 s^{-1} \)
D. 8 mm \( s^{-1} \)
Subject: Physics
Interference fringes are obtained due to the interference of waves from two
coherent sources of light with
amplitudes \( a_{1} \) and \( a_{2}\left(a_{1}=2 a_{2}\right) . \) What
is the ratio of the maximum and
minimum intensities of light in the
interference pattern?
A .2
B. 4
\( c .9 \)
D. \( \infty \)
Subject: Chemistry
The formula of a carbonyl complex of
cobalt, \( (C O)_{n} C o-C o(C O)_{n}, \) in which
there a single covalent \( C o-C o \) bond
is:
A. \( C o_{2}(C O)_{4} \)
в. \( \operatorname{Co}_{2}(\mathrm{CO})_{6} \)
c. \( \operatorname{Co}_{2}(C O)_{8} \)
D. \( C o_{2}(C O)_{10} \)
Subject: Chemistry
Atomicity of white or yellow phosphorus
is 4 and it is represented as \( P_{4} \) molecule,calculate the value of
expression \( \frac{x \cdot y}{z} \) regarding this
molecule.
Where \( x: \) Total number of vertex angles
in \( P_{4} \) molecule
y: Total number of lone pairs in \( P_{4} \) molecule
z: Total number of P- - -P bonds in
\( P_{4} \) molecule
Subject: Chemistry
The electrolysis of aqueous solution of
\( \boldsymbol{C u B r _ { 2 }} \) using platinum electrode would
leads to:
This question has multiple correct options
A. \( B r_{2} \) gas at anode
B. \( B r_{2} \) gas at anode and \( O_{2} \) gas at cathode
c. copper(s) at cathode
D. \( H_{2} \) gas at cathode
Subject: Physics
In the expression \( y=a \sin (\omega t+\theta), y \)
is displacement and \( t \) is the time. Write
the dimensions of \( \omega \)
\( \mathbf{A} \cdot\left[M^{0} L T^{0}\right] \)
В \( \cdot\left[M^{0} L^{0} T^{0}\right] \)
C . \( \left[M^{0} L^{0} T^{-1}\right. \)
\( \mathbf{D} \cdot\left[M^{1} L^{0} T^{0}\right] \)
Subject: Chemistry
Pressure over ideal binary liquid
mixture containing 10 moles each of liquid \( A \) and \( B \) is gradually decreased
isothermally. If \( P_{A}^{\circ}=200 m m H g \) and
\( P_{B}^{\circ}=100 m m H g, \) the pressure at
which half of the liquid is converted into
vapour is:
A. \( 150 \mathrm{mm} \) Hg
в. \( 166.5 \mathrm{mm} \) ну
c. \( 133 \mathrm{mm} \) нg
D. 141.4 mm нg
Subject: Maths
If the \( 10^{t h} \) term of a G.P. is 9 and \( 4^{t h} \)
term is \( 4, \) then its \( 7^{t h} \) term is
A. 6
B. 14
c. \( \frac{27}{14} \)
D. \( \frac{56}{15} \)
Subject: Physics
If the vectors \( \vec{A}=2 \hat{i}+4 \hat{j} \) and \( \vec{B}= \) \( \mathbf{5} \hat{\mathbf{i}}-\boldsymbol{p} \hat{\boldsymbol{j}} \) parallel to each other, the
magnitude of \( \bar{B} \) is:
A \( 5 \sqrt{5} \)
5
B. 10
c. 15
D. \( 2 \sqrt{5} \)
Subject: Maths
Express \( 2 \frac{1}{5} \) as a fraction of \( 7 \frac{2}{9} \)
A \( \cdot \frac{99}{325} \)
в. \( \frac{143}{9} \)
c. \( \frac{67}{200} \)
D. \( \frac{143}{18} \)
Subject: Physics
The equatorial magnetic field of earth is
0.4G. Then its dipole moment on equator is
A \( \cdot 1.05 \times 10^{23} \mathrm{Am}^{2} \)
В. \( 2.05 \times 10^{23} \mathrm{Am}^{2} \)
c. \( 1.05 \times 10^{21} A m^{2} \)
D. \( 2.05 \times 10^{21} \mathrm{Am}^{2} \)
Subject: Chemistry
The IUPAC name of the compound shown below is:
\[
\begin{array}{c}
\mathrm{CH}_{3} \\
\mathrm{CH}_{3}-\mathrm{C} \equiv \mathrm{C}-\mathrm{CH}-\mathrm{CH}=\mathrm{CH}_{2}
\end{array}
\]
A. 4 -methylhex-2-yn-5-ene
B. 3-methylhex-4-yn-1-ene
c. 3 -methylhex- 1 -en- 4 -yne
D. 4-vinyl-2-pentyne
Subject: Maths
\( \boldsymbol{A}(\boldsymbol{p}, \boldsymbol{0}), \boldsymbol{B}(\boldsymbol{4}, \boldsymbol{0}), \boldsymbol{C}(\boldsymbol{5}, \boldsymbol{6}) \) and \( \boldsymbol{D}(1, \boldsymbol{4}) \) are
the vertices of a quadrilateral \( A B C D . \) If
\( \angle A D C \) is obtuse, the maximum
integral value of \( p \) is :
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D.
Subject: Physics
A metre scale weighs 50 grams and carries 20 grams at one end, the scale balances when it is suspended at a
distance \( x \) from other endpoints. Then \( x \)
is equal to?
A . \( 35.7 \mathrm{cm} \)
в. 64.3 ст
c. \( 14.3 \mathrm{cm} \)
D. \( 50 \mathrm{cm} \)
Subject: Physics
A charge particle of charge \( q, \) mass \( m \) is projected with a velocity \( \vec{v}=v \hat{i} \). The electric field \( \overrightarrow{\boldsymbol{E}}=\boldsymbol{E} \hat{\boldsymbol{k}} \) and magnetic
field \( \vec{B}=B \hat{j} \) is applied. The
acceleration of the particle is then
A \( \frac{q v B}{m} \)
в. \( \frac{q E}{m} \)
c. \( \frac{q(E+v B) \hat{k}}{m} \)
\( D \)
Subject: Chemistry
The product as a result of reaction of
\( \boldsymbol{C H}_{3} \boldsymbol{M g I} \) with \( \boldsymbol{C O}_{2} \) on further
hydrolysis gives:
A \( \cdot C H_{3} C O O H \)
в. \( H C O O H \)
\( \mathbf{c} \cdot C H_{3} O H \)
D. \( C O O H-C O O H \)
Subject: Physics
A long solenoid has 1000 turns. When a
current of \( 4 A \) flows through it, the
magnetic flux linked with each turn of
the solenoid is \( 4 \times 10^{-3} \) Wh. The self-
inductance of the solenoid is:
A. 4 н
в. 3 н
\( c .2 H \)
D. 1
Subject: Physics
A long wire carries a steady current. IT
is bent into a circle of one turn and the
magnetic field at the centre of the coil
is \( B \). It is then bent into a circular loop
of \( n \) turns. The magnetic field at the centre of the coil will be:
\( \mathbf{A} \cdot n B \)
B . \( n^{2} B \)
\( c \cdot 2 n B \)
D. \( 2 n^{2} B \)
Subject: Chemistry
Gammexane is the name given to:
\( \mathbf{A} \cdot C_{6} H_{3} C l_{3} \)
в. \( C_{6} H_{4} C l_{2} \)
\( \mathbf{c} \cdot C_{6} H_{6} C l_{6} \)
D. Diphenyltrichloroethane
Subject: Chemistry
Which of the following is the correct product for the compound when treated
with \( \boldsymbol{B} \boldsymbol{r}_{2} / \boldsymbol{C C l}_{4} \)
A \( \cdot C H_{3}-C H=C H_{2} \rightarrow C H_{3}-C H_{2}-C H_{2} B r \)
В. \( C H_{3}-C H=C H_{2} \rightarrow B r C H_{2}-C H=C H_{2} \)
c. \( C H_{3}-C H=C H_{2} \rightarrow C H_{3}-C H B r-C H_{3} \)
D. \( C H_{3}-C H=C H_{2} \rightarrow C H_{3}-C H B r-C H_{2} B r \)
Subject: Physics
A force \( \overrightarrow{\boldsymbol{F}}=\boldsymbol{\alpha} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+\boldsymbol{6} \hat{\boldsymbol{k}} \) is acting at \( \mathbf{a} \)
point \( \vec{r}=2 \hat{i}-6 \hat{j}-12 \hat{k} . \) The value of \( \alpha \) for which angular momentum about origine is conserved is
\( \mathbf{A} \cdot \mathbf{1} \)
B. -
\( c \cdot 2 \)
D. zero
Subject: Maths
The mean value of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{2}{e^{x}+1} \) on the interval [0,2] is
\( ^{A} \cdot_{2-\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
B. \( _{2+\log _{e}}\left(\frac{2}{e^{2}+1}\right) \)
\( ^{\mathrm{c}} 2+\log _{e}\left(\frac{2}{e^{2}-1}\right) \)
D. \( _{-2+\log _{e}}\left(\frac{2}{e^{2}-1}\right) \)
Subject: Physics
A plane electromagnetic wave travels in free space along X-direction. If the value of \( \vec{B} \) (in tesla) at a particular point in space and time is \( 1.2 \times 10^{-8} \hat{k}, \) the value of \( \vec{E}\left(\operatorname{in} \vee \boldsymbol{m}^{-1}\right) \) at that point is,
A. \( 1.2 \hat{j} \)
B. \( 3.6 \hat{k} \)
c. \( 1.2 \hat{k} \)
D. 3.6
Subject: Chemistry
Statement I: Metals are good
conductors of electricity
Statement II: In \( M_{2} \), they are held
together by ionic bonds
A. Both statement 1 and statement 2 are correct and statement 2 is the correct explanation for statement 1
B. Both statement 1 and statement 2 are correct but statement 2 is NOT the correct explanation for statement 1
c. Statement 1 is correct but statement 2 is incorrect
D. Statement 1 is incorrect but statement 2 is correct
E. Both statement 1 and statement 2 are incorrect
Subject: Physics
A radioactive element \( \boldsymbol{A} \) on
disintegration gives two elements \( B \) and \( C . \) If \( B \) is helium and \( C \) is the
element of atomic number 90 and
atomic mass 234 , the element \( A \) is:
\( A \cdot \frac{238}{92} U \)
B \( \cdot_{88}^{24} R a \)
\( \mathbf{c} \cdot_{90}^{24} T h \)
D・ \( 23372 a \)
Subject: Maths
Assertion
Statement 1 Range of \( \boldsymbol{f}(\boldsymbol{x})=\tan ^{-1} \boldsymbol{x}+ \)
\( \sin ^{-1} x+\cos ^{-1} x \) is \( (0, \pi) \)
Reason
Statement \( 2 f(x)=\tan ^{-1} x+ \)
\( \sin ^{-1} x+\cos ^{-1} x=\frac{\pi}{2}+\tan ^{-1} x \) for
\( \boldsymbol{x} \boldsymbol{\epsilon}(-\mathbf{1}, \mathbf{1}] \)
A. Both the statements are TRUE and STATEMENT 2 is the
correct explanation of STATEMENT 1
B. Both the statements are TRUE and STATEMENT 2 is NOT the correct explanation of STATEMENT
C. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE
D. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE
Subject: Chemistry
One litre of a sample of hard water
contains \( 55.5 \mathrm{mg} \) of \( \mathrm{CaCl}_{2} \) and \( 4.75 \mathrm{mg} \)
of \( M g C l_{2} . \) The total harness in terms of
ppm of \( C a C O_{3} \) is :
\( A \cdot 9 \) ppm
B. 10 ppm
c. 20 ppm
D. none of these
Subject: Maths
\( \operatorname{Let} \mathbf{f}(\mathbf{x})=\frac{\sin \mathbf{4} \boldsymbol{\pi}[\mathbf{x}]}{\mathbf{1}+[\mathbf{x}]^{2}}, \mathbf{w h e r e}[x] \) is the
greatest integer less than or equal to \( x \) then
A \( \cdot f(x) \) is not differentiable at some points
B. \( f(x) \) exists but is different from zero
\( c \cdot f(x)=0 \) for all \( x \)
D. \( f^{\prime}(x)=0 \) but \( f \) is not a constant function
Subject: Maths
Tangents \( P A \) and \( P B \) are drawn from
an external point \( P \) to two concentric
circle with centre \( O \) and radii \( 8 \mathrm{cm} \) and
5 \( \mathrm{cm} \) respectively, as shown in figure. If
\( A P=15 \mathrm{cm}, \) then find the length of
\( \boldsymbol{B P} \)
Subject: Chemistry
A beam of some kind of practical of velocity \( 2 \times 10^{7} m / s \) is scattered by a
gold \( (z=79) \) foil. Find specific charge of
this particle charge/mass if the distance of closest approach is \( \mathbf{7} . \mathbf{9 1 0}^{-\mathbf{1 4}} \mathbf{m} \)
Subject: Physics
A converging equiconvex lens forms
real image of a particle as shown in
case \( I . \) If now lens is cut as shown in
case \( I I \) then select the correct
alternative/alternatives:
A. Image in case \( I I \) will be at \( 240 \mathrm{cm} \) from lens
B. Image is react
C. Image in case \( I I \) will be at the same location of case \( I \)
D. There will be two distinguished images
Subject: Physics
An infinite long straight wire is bent into a semicircle of radius \( R \), as shown
in the figure. A current \( I \) is sent through the conductor. The magnetic field at the centre of the semicircle is :
A. \( \infty \)
в. 0
c. \( \frac{\mu_{0}}{4 R} I \)
D. \( \frac{\mu_{0} I}{4 \pi R}(\pi+1) \)
Subject: Maths
Find the zero of the polynomial given below:
\( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{9} \boldsymbol{x}-\boldsymbol{3} \)
A \( \cdot \frac{6}{7} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{3} \)
D. \( \frac{7}{3} \)
Subject: Physics
\( 4.0 \mathrm{kg} \) of a gas occupies 22.4 litres at NTP. The specific heat capacity of the
gas at constant volume is \( 5.0 J K^{-1} \)
mol \( ^{-1} \) If the speed of sound in this gas
at NTP is \( 952 \mathrm{ms}^{-1} \) then the heat
capacity at constant pressure is (Take gas constant \( \mathrm{R}=8.3 \mathrm{JK}^{-1} \) mol \( ^{-1} \)
A \( \cdot 8.5 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
в. \( 8.0 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
\( \mathbf{c} \cdot 7.5 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
D. \( 7.0 \mathrm{JK}^{-1} \mathrm{mol}^{-1} \)
Subject: Biology
Assertion
In dialyzer, the plasma proteins of the blood cannot be filtered, but molecules
like urea, uric acid, creatinine and ions
can be filtered.
Reason
The cellophane membrane, used in the dialyzer is permeable to micromolecules, but impermeable to macromolecules.
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
If \( \boldsymbol{v}=\boldsymbol{x}^{2}-\mathbf{5} \boldsymbol{x}+\mathbf{4}, \) Find the
acceleration of the particle when velocity of the particle is zero.
\( \mathbf{A} \cdot \mathbf{0} \)
B. 2
\( c \cdot 3 \)
D. none of these
Subject: Chemistry
At \( 373 \mathrm{k} \) the half-life period for the
thermal decomposition of \( N_{2} O_{5} \) is 4.6
sec and is independent of the initial
pressure of \( N_{2} O_{5} \). Calculate the specific rate constant of this
temperature.
\( \mathbf{A} \cdot K=0.1507 s^{-1} \)
В. \( K=0.3014 s^{-1} \)
C . \( K=0.1507 s^{-2} \)
D. \( K=0.3014 s^{-2} \)
Subject: Physics
A force \( F_{1} \) on a body of \( 2 \mathrm{kg} \) produces an
acceleration of \( 2.5 m / m^{2} \) and other
force \( F_{2} \) acting on another body of mass
5 kg produces an acceleration of \( 2 m / s^{2} \)
The ratio of \( \boldsymbol{F}_{2} / \boldsymbol{F}_{1} \) is
\( A \cdot 2 \)
B. 4
\( c \cdot 6 \)
D.
Subject: Physics
A straight steel wire of length \( l \) has
magnetic moment \( m \). If the wire is bent
in the form of a semicircle, the new
value of the magnetic dipole moment is
A . \( m \)
в. \( \frac{m}{2} \)
\( c \cdot \frac{m}{\pi} \)
D. \( \frac{2 m}{\pi} \)
Subject: Maths
If \( \alpha \) and \( \beta \) are the roots of the equation
\( x^{2}-p x+q=0, \) then find the equation whose roots are \( \frac{\boldsymbol{q}}{\boldsymbol{p}-\boldsymbol{\alpha}} \) and \( \frac{\boldsymbol{q}}{\boldsymbol{p}-\boldsymbol{\beta}} \)
Subject: Maths
Verify Rolle's theorem for the following
function \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}-\mathbf{5} \boldsymbol{x}+\mathbf{9}, \boldsymbol{x} \varepsilon[\mathbf{1}, \boldsymbol{4}] \)
Subject: Physics
The potential energy of a two particle
system separated by a distance \( r \) is \( \operatorname{givenby} U(r)=\frac{A}{r}, \) where \( A \) is a
constant. Find the magnitude of radial
force \( F_{r}, \) that each particle exerts on the other.
A \( \cdot \frac{A}{r^{2}} \)
в. \( \frac{A}{r} \)
c. \( A r^{2} \)
D. \( A r \)
Subject: Chemistry
Assertion: The more negative is the standard reduction potential, greater is its ability to displace \( \mathrm{H}_{2} \) from acid. Reason: Strength of reducing agent increases with the increase in the
negative value of the standard reduction potential.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Physics
\( \ln \) an oscillating \( L C \) circuit the
maximum charge on the capacitor is \( Q \)
The charge on the capacitor when the energy is stored equally between the electric and magnetic field is
\( \mathbf{A} \cdot Q / 2 \)
в. \( Q / \sqrt{3} \)
c. \( Q / \sqrt{2} \)
D. \( Q \)
Subject: Maths
Consider the following statements:
1. \( 1^{\circ} \) in radian measure is less than
0.02 radians.
2. 1 radian in degree measure is
greater than \( 45^{\circ} \)

Which of the above statements
is/are correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
Subject: Maths
Solve: \( \boldsymbol{x} \boldsymbol{d} \boldsymbol{y}=\left(\boldsymbol{y}+\boldsymbol{x} \cos ^{2}\left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right)\right) \boldsymbol{d} \boldsymbol{x} \)
Subject: Physics
A \( 5 c m \) long solenoid having 10 ohm
resistance and \( 5 m H \) inductance is
joined to a \( 10 V \) battery. At steady state, the current through the solenoid (in ampere) will be
\( \mathbf{A} \cdot \mathbf{5} \)
B . 2
\( c . \)
D. zero
Subject: Physics
A substance cools from \( 75^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \)
in \( T_{1} \) minute, from \( 70^{\circ} C \) to \( 65^{\circ} C \) in \( T_{2} \)
minute and from \( 65^{\circ} \mathrm{C} \) to \( 60^{\circ} \mathrm{C} \) in \( T_{3} \)
minute, then
A \( \cdot T_{1}=T_{2}=T_{3} \)
в. \( T_{1}<T_{2}<T_{3} \)
c. \( T_{1}>T_{2}>T_{3} \)
D. \( T_{1}<T_{2}>T_{3} \)
Subject: Biology
Read the following \( (A-D) \) :-
A. RBCs are the most abundant of all the
cells in blood.
B. A healthy adult man has no an
average 5 Billions to 5.5 Billions of RBCs
\( m m^{-3} \) of blood
C.RBCs are formed in liver in the adults.
D.RBCs are devoid of nucleus in most of
the mammals and are biconcave in
shape. How many of the above statement are incorrect?
\( A \cdot 4 \)
в. 3
\( c \cdot 2 \)
D. 1
Subject: Physics
A closed vessel contains 8 g of oxygen and 7 g of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a suiColumn absorbent the pressure of the remaining gas (in atm) will be:
\( A \cdot 2 \)
B. 10
\( c \cdot 4 \)
\( D .5 \)
Subject: Physics
The number of turns in the primary and
the secondary coils of a transformer are
1000 and 3000 respectively. If the primary of the coil is connected to 80
volt ac, then what is the potential difference per turn of the secondary coil
\( ? \)
A . 240
B. 24
c. \( 0.24 v \)
D. 0.08 \( v \)
Subject: Physics
The period of oscillation of a simple pendulum is \( T=2 \pi \sqrt{L / g} . \) Measured
value of \( L \) is \( 20.0 \mathrm{cm} \) known to \( 1 \mathrm{mm} \)
accuracy and time for 100 oscillations of
the pendulum is found to be 90 s using a wrist watch of 1 sec resolution. What is
the accuracy in the determination of
Subject: Chemistry
In which of the following reactions product will be aldehyde? This question has multiple correct options
\( A \)
\[
\mathrm{CH}_{3}-\mathrm{C}=\mathrm{C}-\left.\mathrm{C}_{2} \mathrm{H}_{5} \frac{(\mathrm{i}) \mathrm{O}_{3}}{\mathrm{CH}_{3}}\right|_{\mathrm{CH}_{3}}
\]
в. \( C H_{3}-C H=C H_{2} \frac{C O / H_{2} / C O_{2}(C O)_{8}}{\Delta} \)
c. \( C H_{3}-C \equiv C H \frac{B_{2} H_{6}}{N a O H, H_{2} O_{2}} \)
D. \( C H_{3}-C \equiv C H \stackrel{H O H / H g S O_{4} / H_{2} S O_{4}}{\longrightarrow} \)
Subject: Maths
If \( f(x)=x \cdot\left(\frac{a^{1 / x}-a^{-1 / x}}{a^{1 / x}+a^{-1 / x}}\right), x \neq \)
\( \mathbf{0}(\boldsymbol{a}>\mathbf{0},) \boldsymbol{f}(\mathbf{0})=\mathbf{0} \) then
A . fis differentiable at \( x=0 \)
B. fis not differentiable at \( x=0 \)
c. \( f \) is not continuous at \( x=0 \)
D. None of these
Subject: Chemistry
Consider the following reaction:
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \rightarrow \boldsymbol{P} \boldsymbol{r} \) oduct
Among the following, which one cannot be formed as a product under my conditions?
A. Ethylene
B. Ethyl hydrogen sulphate
c. Acetylene
D. Diethyl ether
Subject: Biology
With reference to the Aichi Biodiversity Targets, consider the following statements.
1. It aims to bring pollution, including from excess nutrients to levels that are
not detrimental to ecosystem function and biodiversity.
2. It aims to control or eradicate
invasive alien species on priority basis. Which of the statement(s) given is/are
correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
Subject: Chemistry
Which of the following is incorrectly matched?

Complex compound and number of
unpaired electrons
\( \mathbf{A} \cdot\left[F e F_{6}\right]^{3-}, 5 \)
B \( \cdot\left[C r(e n)_{3}\right]^{2}+, 2 \)
c. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3+}, 4 \)
D \( \cdot\left[M n\left(H_{2} O\right)_{6}\right]^{2+}, 5 \)
Subject: Physics
A long string under tension of \( 100 N \)
has one end at \( x=0 . \) A sinusoidal
wave is generated at \( x=0 \) whose
equation is given by
\( \boldsymbol{y}= \)
\( (0.01 c m) \sin \left[\left(\frac{\pi x}{10} m\right)-50 \pi t(s e c)\right] \)
Draw velocity time graph of particle at
\( \boldsymbol{x}=\mathbf{5} \boldsymbol{m} \)
Subject: Chemistry
When potassium chloride and lead \( (I I) \) nitrate react in an aqueous solution, which of the following terms will be present in the balanced molecular
equation?
A \( \cdot P b C l_{s} \)
B \( \cdot P b_{2} C l_{(s)} \)
\( \mathbf{c} \cdot K N O_{3(a q)} \)
D. \( 2 K N O_{3(a q)} \)
E \( \cdot 2 K C l_{2(s)} \)
Subject: Biology
Nicotiana sylvestris flowers only during long days and \( N \). tabacum flowers only
during short days.If raised in the laboratory under different
photoperiods,they can be induced to
flower at the same time and can be
cross-fertilized to produce self-fertile offspring.What is the best reason for considering N.sylvestris and N.tabacum to
be separate species?
A. They cannot interbreed in nature
B. They are reproductively distinct
C. They are physiologically distinct
D. They are morphologically distinct.
Subject: Maths
Find the mean deviation about the
mean as well as the coefficient of Mean
Deviation about mean of the following \( \operatorname{set} \) data: 4,7,14,11,9
A . 2.8 and 0.311
B. 2.1 and 0.211
c. 24.8 and 0.411
D. 21.3 and0.566
Subject: Physics
A magnet of moment \( 4 \mathrm{Am}^{2} \) is kept
suspended in a magnetic field of induction \( 5 \times 10^{-5} T . \) The workdone in
rotating it through \( 180^{0} \) is
\( \mathbf{A} \cdot 4 \times 10^{-4} J \)
В. \( 5 \times 10^{-4} J \)
c. \( 2 \times 10^{-4} J \)
D. \( 10^{-4} J \)
Subject: Chemistry
A red litmus paper when dipped in an aqueous solution of potassium acetate turned blue. Arrange the following steps
in proper sequence to explain the above observation.
(a) Identification of spectator ions.
(b) Identification of free ions which
caused the colour change of the litmus
paper.
(c) Identification of positive and
negative radicals.
(d) Writing the net reaction taking
place
(e) Writing ionic equation for the reaction of positive and negative radicals with water.
\( A \cdot c \) e a d \( b \)
B. \( c \) a e d b
\( c \cdot e a d c b \)
D. e ca d b
Subject: Physics
If \( N^{A} \) is number density of acceptor
atoms added and \( N^{D} \) is number
density of donor atoms added to a
semiconductor, \( n^{e} \) and \( n^{n} \) are the
number density of electrons and holes in it,then
A \( \cdot n^{e}=N^{D}, n^{n}=N^{A} \)
B . \( n^{e}=N^{A}, n^{h}=N^{D} \)
c. \( N^{A}+n^{n}=N^{D}+n^{\text {ศ }} \)
D. \( n^{e}+N^{A}=n^{n}+N^{D} \)
Subject: Maths
The measure of an angle in degrees, grades and radians be \( \mathrm{D}, \mathrm{G} \) and \( \mathrm{C} \) respectively, then relation between them \( \frac{D}{90}=\frac{G}{100}=\frac{2 C}{\pi} \) but \( 1^{\circ}= \)
\( \left(\frac{180}{\pi}\right)^{\circ} \simeq 57^{\circ}, 17^{\prime}, 44.8^{\prime \prime} \) and sum of
interior angles of a \( n \) -sided regular polygon is \( (2 n-4) \frac{\pi}{2} . \) On the basis of above information, answer the following questions :Which of the following are correct
This question has multiple correct options
\( A \cdot \sin 1^{\circ}<\sin 1^{\circ} \)
\( \mathbf{B} \cdot \cos 1^{\circ}>\cos 1^{\circ} \)
\( \mathbf{c} \cdot \cos 1^{\circ}<\cos 1^{c} \)
D. \( 1^{c}=57^{\circ} \Rightarrow \sin 1^{c}<\sin 57^{\circ} \Rightarrow \cos 1^{c}>\cos 57 \)
Subject: Physics
How does the force of gravitation between two objects change when the distance between them is reduced to
half?
\( \mathbf{A} \cdot F^{\prime}=4 F \)
В . \( F^{\prime}=8 F \)
\( \mathbf{c} \cdot F^{\prime}=2 F \)
D. \( F^{\prime}=F \)
Subject: Physics
Find electric field
A \( \cdot \frac{2 m a V^{2}}{e d^{2}} \)
B. \( \frac{m a V^{2}}{e d^{2}} \)
c. \( \frac{2 m a V^{2}}{2 e d^{2}} \)
D. \( \frac{2 m a V^{3}}{e d^{3}} \)