AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The saturated vapour pressure of water
at \( 100^{\circ} C \) is
A. \( 750 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. 760 mm of Hg
c. \( 76 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. 7.6 cm of Hg
Subject: Maths
\( \operatorname{Let} f(x)=7 \tan ^{8} x+7 \tan ^{6} x- \)
\( 3 \tan ^{4} x-3 \tan ^{2} x \) for all \( x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
then the correct expression(s) is (are) This question has multiple correct options
\( \int_{0}^{\frac{\pi}{4}} x f(x) d x=\frac{1}{12} \)
B. \( \int_{0}^{\frac{\pi}{4}} f(x) d x=0 \)
c. \( \int_{0}^{\frac{\pi}{4}} x f(x) d x=\frac{1}{6} \)
D \( \int_{0}^{\frac{\pi}{4}} x f(x) d x=1 \)
Subject: Maths
\( y=(x-8)^{4}(x-9)^{5}, 0 \leq x \leq 10, \) In
this interval \( y \) will attain max. and min.
value at \( \boldsymbol{x}= \)
\( A \cdot 8,9 \)
в. \( _{8, \frac{76}{9}} \)
\( \mathrm{c} .9,10 \)
D. \( _{9, \frac{76}{9}} \)
Subject: Maths
In the matrix, write:
\( A=\left[\begin{array}{ccc}2 & 5 & 19-7 \\ 35-2 & \frac{5}{2} & 12 \\ \sqrt{3} & 1 & -517\end{array}\right] \)
(i) The order of the matrix
(ii) The number of elements
(iii) Write the elements \( a_{13}, a_{21}, a_{33}, a_{24}, a_{23} \)
Subject: Maths
If \( ^{n} C_{r-1}=\left(k^{2}-8\right)\left(^{n+1} C_{r}\right), \) then \( k \)
belongs to This question has multiple correct options
A \( \cdot[-3,-2 \sqrt{2}] \)
(年 \( -[-3,-2 \sqrt{2},-\sqrt{2},-\sqrt{2}] \)
в. \( [-3,-2 \sqrt{2}) \)
c. \( 2 \sqrt{2} .3 \)
D. \( (2 \sqrt{2}, 3 \)
Subject: Maths
The domain of \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\log \left(\frac{\boldsymbol{7} \boldsymbol{x}-\boldsymbol{x}^{2}}{\mathbf{1 2}}\right.}) \)
is
в. \( (-\infty, 4] \)
c. \( [3, \infty) \)
()
D. [3,4]
Subject: Chemistry
Assertion
It is difficult to distinguish the strengths of the strong acids such as
\( \boldsymbol{H} \boldsymbol{C l}, \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \boldsymbol{H} \boldsymbol{B} \boldsymbol{r}, \boldsymbol{H} \boldsymbol{I} \) or
\( \boldsymbol{H} \boldsymbol{C l O}_{4} \) in dilute aqueous solutions.
Reason

In dilute aqueous solution all strong acids donate a proton to water and are
essentially \( 100 \% \) ionised to produce a
solution containing \( H_{3} O^{+} \) ions plus the anions of 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. Assertion is incorrect but Reason is correct
Subject: Maths
In the function \( f(x)=a x^{3}+b x^{2}+ \)
\( 11 x-6 \) satisfies condition of rolle's
therorem in [1,3] and \( f^{\prime}\left(2+\frac{1}{3}\right)=0 \) then value of \( a \) and \( b \) are respectively
A. 1,-6
B. -1,6
c. -2,1
D. \( -1, \frac{1}{2} \)
Subject: Maths
\( \lim _{x \rightarrow 0} \frac{x^{4}\left(\cot ^{4} x-\cot ^{2} x+1\right)}{\left(\tan ^{4} x-\tan ^{2} x+1\right)} \) is equal to
A . 1
B.
\( c \cdot 2 \)
D. None of these
Subject: Physics
A light ray passes from a material of low refractive index to one of high refractive index. Which of the pairs of quantities listed below describes the light ray as it
strikes and passes through the interface between the two materials?
Match the descriptions below with the
statement that best describes the
situation.
A part of the light ray remains inside
the low refractive index material:
A. the angle of refraction is larger than the angle of incidence
B. the angle of refraction is equal to the angle of incidence
C. the angle of reflection is larger than the angle of incidence
D. the angle of incidence equals the angle of reflection
E. the angle of reflection is smaller than the angle of incidence
Subject: Maths
Find the solution for the following
equations:
\( \frac{5}{2 x}+\frac{2}{3 y}=7 ; \frac{3}{x}+\frac{2}{y}= \)
\( \mathbf{1 2} \quad(\boldsymbol{x} \neq \mathbf{0}, \boldsymbol{y} \neq \mathbf{0}) \)
Subject: Maths
The position vectors of the points \( A, B, C \) and \( \mathrm{D} \) are \( 3 \hat{i}-2 \hat{j}-\hat{k}, 2 \hat{i}-3 \hat{j}+ \)
\( \mathbf{2} \hat{\boldsymbol{k}}, \mathbf{5} \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\mathbf{2} \hat{\boldsymbol{k}} \) and \( \mathbf{4} \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\boldsymbol{\lambda} \hat{\boldsymbol{k}} \)
respectively. If the points \( A, B, C \) and \( D \) lie on a plane, the value of \( \lambda \) is?
\( A \cdot 0 \)
B.
\( c \cdot 2 \)
D. -4
Subject: Chemistry
What is the reaction occuring at the
anode in Down's process for the extraction of sodium?
A \( \cdot 4 O H^{-} \rightarrow 2 H_{2} O+O_{2}+4 e^{-} \)
B. \( N a^{+}+l e^{-} \rightarrow N a \)
\( \mathbf{c} \cdot 2 C l^{-} \rightarrow C l_{2}+2 e^{-} \)
D. \( N a O H \rightarrow N a^{+}+O H^{-} \)
Subject: Maths
The semi-vertical angle of a cone is \( 45^{\circ} \)
If the height of the cone is 20.025 , then its approximate lateral surface area is
A . \( 401 \sqrt{2} \pi \)
В. \( 400 \sqrt{2} \pi \)
\( \mathrm{c} \cdot 399 \sqrt{2} \pi \)
D. none of these
Subject: Maths
Solve the following matrix equation for
\( x \)
\( [\boldsymbol{x}-\mathbf{5}-\mathbf{1}]\left[\begin{array}{lll}\mathbf{1} & \mathbf{0} & \mathbf{2} \\ \mathbf{0} & \mathbf{2} & \mathbf{1} \\ \mathbf{2} & \mathbf{0} & \mathbf{3}\end{array}\right]\left[\begin{array}{l}\boldsymbol{x} \\ \mathbf{4} \\ \mathbf{1}\end{array}\right]=\mathbf{0} \)
Subject: Biology
The characteristics and an example of a
synovial joint in humans is:
A. Characteristics - Fluid cartilage between two bones, limited movements, Examples - Knee joint
B. Characteristics - Fluid filled between two joints, provides cushion, Examples - Skull bones
C. Characteristics - Fluid filled synovial cavity between two bones, Examples - Joint between atlas and axis
D. Characteristics - Lymph filled between two bones, limited movement, Examples - Gliding joint between carpals
Subject: Chemistry
A solution at \( 20^{\circ} \mathrm{C} \) is composed of 1.5
mol of benzene and 3.5 mol of toluene. If
the vapour pressure of pure benzene of
pure benzene and pure toluene at this temperature are 74.7 torr and 22.3 torr. respectively, then the total vapour pressure of the solution and the benzene mole fraction in equilibrium with it will be, respectively.
A. 38.0 torr and 0.589
B. 30.5 torr and 0.389
c. 35.8 torr and 0.280
D. 35.0 torr and 0.480
Subject: Physics
The length of a potentiometer wire is \( l . \) A cell of emf \( \boldsymbol{E} \) is balanced at length \( \boldsymbol{l} / \mathbf{3} \)
from the positive end of the wire. If the length of the wire is increased by \( l / 2 \)
Then, at what distance will the same
cell give a balance point?
A \( \frac{2 l}{3} \)
B. \( \frac{l}{2} \)
\( c \cdot \frac{l}{6} \)
D. \( \frac{4 l}{3} \)
Subject: Physics
toppr
\( Q \)
Its specitication. Name the tnree independent quantities conventionally used to specify the earth's magnetic field.
(b) The angle of dip at a location in
southern India is about \( 18^{\circ} . \) Would you
expect a greater or smaller dip angle in Britain?
(c) If you made a map of magnetic field lines at Melbourne in Australia, would the lines seem to go into the ground or come out of the ground?
(d) In which direction would a compass free to move in the vertical plane point
to, if located right on the geomagnetic north or south pole?
(e) The earth's field, it is claimed, roughly approximates the field due to a dipole of magnetic moment \( 8 \times \) \( 10^{22} J T^{-1} \) located at its centre. Check
the order of magnitude of this number
in some way.
(f) Geologists claim that besides the main magnetic N-S poles, there are several local poles on the earth's surface oriented in different directions.
How is such a thing possible at all?
Subject: Chemistry
The sum of the coefficients in the
balanced equation of \( \boldsymbol{C o}+\boldsymbol{N} \boldsymbol{i}^{2+} \rightarrow \)
\( \boldsymbol{C o}^{\boldsymbol{3}+}+\boldsymbol{N} \boldsymbol{i}, \) is:
A . 5
B. 2
\( c \cdot 3 \)
D. 10
E . 13
Subject: Chemistry
Which of the following statements is
correct about \( \lambda_{a}^{\infty} \) or \( \lambda_{c}^{\infty} \) (i.e., ionic conductivities)?
A. Increases with temperature due to increase in viscosity of medium.
B. Increases with pressure due to decrease in viscosity of medium.
c. Decreases with pressure due to increase in viscosity of medium.
D. Decreases with pressure due to decrease in viscosity of medium
Subject: Physics
A 50 turn circular coil has a radius of 3
\( \mathrm{cm}, \) it is kept in a magnetic field acting normal to the area of the coil. The
magnetic field B is increased from \( 0.10 T \) to \( 0.35 T \) in 2 milli second, the
average induced emf will be
A. \( 177 V \)
B. \( 1.77 V \)
c. \( 0.177 V \)
D. \( 17.7 V \)
Subject: Chemistry
In the chemical reaction \( \boldsymbol{P}+\boldsymbol{Q} \rightarrow \boldsymbol{P} \boldsymbol{Q} \)
if the concentration of \( P \) and \( Q \) are
increased by two fold, the reaction rate:
A. decreases to half
B. increased by two fold
c. increased by eight fold
D. increased by four fold
Subject: Physics
A rectangular loop, carrying current \( i, \) is
lying near a long straight conductor PQ as shown in the figure in such way that
the wire is parallel to one of the sides of the loop and is in the plane of the loop. If
constant current \( I \) is passed in the wire
then the loop will
A. move towards the wire
B. move away from the wire
c. remain stationary
D. rotate about an axis parallel to the wircre
Subject: Biology
Which one of the following is the correct matching of the site of action on the given substrate, the enzyme acting upon it and the end product?
A. Small intestine: \( \rightarrow \) Proteins Pepsin Amino acids
B. Stomach : \rightarrow Fats Lipase Micelles
c. Duodemum: \( \rightarrow \) Triglycerides Trypsin Monoglycerides
D. small intestine : \( \rightarrow \) Starch Amylase Disaccharide (Maltose)
Subject: Physics
Assertion
When white light fall on the compact disc, multicolours are seen after
reflection.
Reason
CD disc behaves like a prism.
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
Which one of the following leads to third line of Balmer spectrum from red end (For hydrogen atom)?
A \( .2 \rightarrow 5 \)
В . \( 5 \rightarrow 2 \)
\( \mathrm{c} \cdot 3 \rightarrow 2 \)
D. \( 4 \longrightarrow 1 \)
Subject: Physics
A parallel plate capacitor of plate separation 2 mm is connected in an
electric circuit having source voltage
\( 400 V . \) If the plate area is \( 60 \mathrm{cm}^{3} \) then
the value of displacement current for time period of \( 10^{-6} \) sec will be
A. 1.062 amp
В. \( 1.062 \times 10^{-2} \) атр
c. \( 1.062 \times 10^{-1} \) amp
D. \( 1.602 \times 10^{-2} \) amp
Subject: Physics
A wire of length \( L \) and mass per unit
length \( 6.0 \times 10^{-3} k g m^{-1} \) is put under
tension of \( 540 \mathrm{N} \). Two consecutive
frequencies that it resonates at are:
\( 420 H z \) and \( 490 H z . \) Then \( L \) in meters
is:
\( \mathbf{A} \cdot 1.1 m \)
B. \( 5.1 \mathrm{m} \)
c. \( 2.1 m \)
D. \( 8.1 \mathrm{m} \)
Subject: Maths
In the given figure, \( \angle A O B=90^{\circ} \) and
\( C O D \) is a straight line. The values of \( x \)
and \( y \) are respectively.
A \( \cdot 25^{\circ} \) and \( 15^{\circ} \)
B \( \cdot 20^{\circ} \) and \( 30^{\circ} \)
\( \mathbf{c} \cdot 15^{\circ} \) and \( 45^{\circ} \)
D. \( 10^{\circ} \) and \( 60^{\circ} \)
Subject: Biology
How many ATP molecules could maximally be generated from one molecule of glucose if the complete
oxidation of one mole of glucose to \( C O_{2} \)
and \( H_{2} O \) yields 686 kcal and the useful chemical energy available in the high energy phosphate bonds of one mole of ATP is 12 kcal?
A. Fifty-seven
B. One
c. Two
D. Thirty
Subject: Maths
A unit radian is approximately equal to
A \( \cdot 57^{\circ} 17^{\prime} 43^{\prime} \)
,
B . \( 57^{\circ} 17^{\prime} 45 " \)
c. \( 57^{\circ} \) 17' \( 47 " \)
D. \( 57^{\circ} 17^{\prime} 49^{\prime} \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\frac{(\boldsymbol{x}-\boldsymbol{a})(\boldsymbol{x}-\boldsymbol{b})}{(\boldsymbol{x}-\boldsymbol{c})} \) Which of the
following are TRUE?
This question has multiple correct options
A. Range of \( f(x) \) is \( R, b \leq c \leq a \)
B. Range of \( f(x) \) is \( R, a \leq c \leq b \)
C. Range of \( f(x) \) is proper subset of \( R \),for \( a \leq b \leq c \)
D. Range of \( f(x) \) is proper subset of \( R \),for \( c \leq b \leq a \)
Subject: Maths
Evaluate the following definite integral:
\( \int_{-\pi / 4}^{\pi / 4} \log (\cos x+\sin x) d x \)
A . \( \pi \log 2 \)
B. - \pi log2
C \( \cdot-\frac{\pi}{4} \log 2 \)
D. \( \pi^{2} \log 2 \)
Subject: Chemistry
The highest energy in Balmer series, in the emission spectra of hydrogen is represented by:
\( \left(R_{H}=109737 \mathrm{cm}^{-1}\right) \)
\( \mathbf{A} \cdot 4389.48 \mathrm{cm}^{-1} \)
в. \( 2194.74 \mathrm{cm}^{-1} \)
c. \( 5486.85 \mathrm{cm}^{-1} \)
D. 27434.25cm"
Subject: Physics
The threshold wavelength for emission of photoelectrons from a metal surface is \( 6 \times 10^{-7} \mathrm{m} . \) The work function of the
material of the metal surface is :
A \( \cdot 3.33 \times 10^{-19} \mathrm{J} \)
J. \( 3.33 \times 10^{-19} \)
В \( \cdot 6.67 \times 10^{-19} \mathrm{J} \)
С. \( 1.23 \times 10^{-19} \mathrm{J} \)
J \( 5 \times 10^{-1.2} \)
D. \( 2.37 \times 10^{-19} \mathrm{J} \)
Subject: Maths
The mean deviation of \( a^{3}+b^{3} \) and \( a^{3}- \)
\( b^{3}(\text { when }(a \& b>0) \) is
A \( \cdot a^{3} \)
в. \( b^{3} \)
\( c \cdot 2 a^{3} \)
D. \( 2 b^{3} \)
Subject: Chemistry
Assertion
Reduction of a metal oxide is easier if
the metal formed is in liquid state at
the temperature of the reduction
Reason
The entropy is higher if the metal is in
liquid state.
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
Benzonitrile is prepared by the reaction of chlorobenzene with potassium cyanide.
Reason
Cyanide \( (\stackrel{\ominus}{C} N) \) is a strong nuclophile
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
Calculate the enthalpy of formation of
\( \Delta H_{f} \) for \( C_{2} H_{5} O H \) from tabulated data and its heat of combustion as
represented by the following equations:
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\mathbf{1} / \mathbf{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}^{o}=-\boldsymbol{2} \mathbf{4} 1.8 \boldsymbol{k} \boldsymbol{J} \boldsymbol{m o l}^{-1} \ldots(\boldsymbol{i}) \)
\( \boldsymbol{C}(\boldsymbol{s})+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( -393.5 k J m o l^{-1} \ldots(i i) \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{l})+\boldsymbol{3} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}(\boldsymbol{g})+\mathbf{2} \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}^{o}= \)
\( -1234.7 k J \ldots(i i i) \)
A. \( -2747.1 k J \mathrm{mol}^{-1} \)
в. \( -277.7 k \) J \( m o l^{-1} \)
c. \( -277.7 . k J m o l^{-1} \)
D. \( 2747.1 k J \) mol \( ^{-1} \)
Subject: Chemistry
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{C} \boldsymbol{N} \rightarrow \boldsymbol{A} \)
\( \boldsymbol{A}+\boldsymbol{Z} \boldsymbol{n} \rightarrow \boldsymbol{B} \)
B is a metal. Hence \( A \) and \( B \) :
\( \mathbf{A} \cdot \operatorname{Na}_{2}\left[\operatorname{Zn}(C N)_{4}\right], Z n \)
в. \( \operatorname{Na}\left[\operatorname{Ag}(C N)_{2}\right] \) ], \( A g \)
c. \( \operatorname{Na}\left[\operatorname{Ag}(C N)_{4}\right] \) ], \( A g \)
D・ \( \left.\operatorname{Na}_{3}\left[\operatorname{Ag}(C N)_{4}\right)\right], A g \)
Subject: Physics
A tank is filled with water to a height of \( 12.5 \mathrm{cm} . \) The apparent depth of a needle lying at the bottom of the tank is
measured by a microscope to be \( 9.4 \mathrm{cm} \) What is the refractive index of water? If
water is replaced by a liquid of refractive index 1.63 up to the same
height, by what distance would the microscope have to be moved to focus on the needle again?
Subject: Maths
The line joining the points \( \left(x_{1}, y_{1}\right) \) and
\( \left(x_{2}, y_{2}\right) \) subtends a right angle
This question has multiple correct options
\( \mathbf{A} \cdot \) at the point (1,-1) if \( x_{1} x_{2}+y_{1} y_{2}+2=x_{1}-y_{1}+x_{2}- \)
\( y_{2} \)
B. at the point (-1,1) if \( x_{1} x_{2}+y_{1} y_{2}+2=y_{1}-x_{1}+y_{2}- \)
\( x_{2} \)
C \( . \) at the point (1,1) if \( x_{1} x_{2}+y_{1} y_{2}+2=x_{1}+y_{1}+x_{2}+ \)
\( y_{2} \)
D. at the point (-1,-1) if \( x_{1} x_{2}+y_{1} y_{2}+2=x_{1}+y_{1}+ \)
\( x_{2}+y_{2} \)
Subject: Physics
A solenoid \( 60 \mathrm{cm} \) long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A \( 2.0 \mathrm{cm} \) long wire of mass \( 2.5 \mathrm{g} \) lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the
horizontal plane. The wire is connected through two leads parallel to
the axis of the solenoid to an
external battery which supplies a current of \( 6.0 \mathrm{A} \) in the wire. What value
of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? \( g=9.8 m s^{-2} \)
Subject: Maths
The ages of ten students of a group are
given below. The ages have been recorded in years and months:
\( 8-6,9-0,8-4,9-3,7-8,8- \)
\( \mathbf{1 1}, \mathbf{8}-\mathbf{7}, \mathbf{9}-\mathbf{2}, \mathbf{7}-\mathbf{1 0}, \mathbf{8}-\mathbf{8} \)
What is the lowest age?
What is the highest age? Determine the range?
Subject: Maths
Find the area of the region enclosed by the curves;
\( \boldsymbol{y}=\cos \boldsymbol{x}, \boldsymbol{y}=1-\frac{2 x}{\pi} \)
A \( \cdot 2-\frac{\pi}{2} \)
в. \( \pi \)
c. \( \frac{\pi}{2} \)
D.
Subject: Biology
Following are four statements. Find out the correct combination.
. Glucose has high threshold value.
2. Urine is concentrated in Henles loop.
3. Haemodialyser removes urea, uric acid, glucose and proteins.
4. In glomerulus, urea, uric acid, water, glucose and plasma proteins are filtered out
\( \mathbf{A} \cdot 1,3,4 \)
в. 2,3,4
\( c .1,2 \)
D. 1,3
Subject: Maths
If \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x} \boldsymbol{y}}{\boldsymbol{x}^{2}+\boldsymbol{y}^{2}} ; \boldsymbol{y}(1)=1 ; \) then a value
of \( \boldsymbol{x} \) satisfying \( \boldsymbol{y}(\boldsymbol{x})=\boldsymbol{e} \) is
A \( \cdot \sqrt{3} e \)
B. \( \frac{e}{\sqrt{2}} \)
\( c \cdot \sqrt{2} e \)
D. \( \frac{1}{2} \sqrt{3} \epsilon \)
Subject: Chemistry
Which of the following is not correctly matched?
\( A \)
\[
\text { Neoprene }\left[\begin{array}{c}
-\mathrm{CH}_{2}-\mathrm{C}=\mathrm{CH}-\mathrm{CH}_{2}- \\
\mathrm{Cl}
\end{array}\right]
\]
B.
Nylon \( -6,6-[\ln ] \)
\( r \)
Terylene \( \left.\left[-\mathrm{OCH}_{2}-\mathrm{CH}_{2}-\mathrm{C}-\langle\bigcirc\rangle^{\mathrm{I}}\right]_{\mathrm{n}}^{\mathrm{II}}\right] \)
\( D \)
\[
\left.\operatorname{PMMA}\left[-\mathrm{CH}_{2} \frac{\mathrm{CH}_{3}}{\mathrm{C}}\right]_{\mathrm{COOH}_{3}}\right|_{\mathrm{n}_{\mathrm{n}}}
\]
Subject: Maths
The first term of an AP is 5, last term is
45 and the sum is \( 400 . \) Find the number of terms and the common difference.
A. \( n=16 \) and \( d=8 / 3 \)
B. \( n=16 \) and \( d=16 / 3 \)
c. \( n=8 \) and \( d=16 / 3 \)
D. \( n=8 \) and \( d=8 / 3 \)
Subject: Chemistry
Assertion
\( \pi_{b} \) and \( \pi^{*} \) orbitals obtained from \( 2 p \)
orbital are lying in the same plane.
Reason
Bonding M.O's are formed by constructive interference while
antibonding M.O's are formed by destructive interference.
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
(i) \( \boldsymbol{C H} \equiv \boldsymbol{C H} \stackrel{(\boldsymbol{A})}{\longrightarrow}(\boldsymbol{B}) \stackrel{(\boldsymbol{O})}{\longrightarrow} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C O O H} \stackrel{(\boldsymbol{C})}{\longrightarrow} \boldsymbol{C H}_{2} \boldsymbol{C l C O O H} \)
Complete the given reactions:
Subject: Maths
There are three stations \( A, B \) and \( C \)
five routes for going from station \( \boldsymbol{A} \) to station \( B \) and four routes for going from \( \operatorname{station} B \) to station \( C \)
Find the number of different ways through which a person can go from station \( A \) to \( C \) via \( B \)
A . 10
B. 15
c. 20
D. 25
Subject: Physics
Two point masses, m each carrying charges - \( q \) and \( +q \) are attached to the ends of a massless rigid non-
conducting wire of length 'L'. When this
arrangement is placed in a uniform electric field, then it deflects through an
angle \( \theta . \) The minimum time needed by
rod to align itself along the field is:
A \( \cdot 2 \pi \sqrt{\frac{m L}{q E}} \)
В. \( \frac{\pi}{2} \sqrt{\frac{m L}{2 q E}} \)
\( ^{\mathbf{C}} \cdot \pi \sqrt{\frac{2 m L}{q E}} \)
D \( \cdot 2 \pi \sqrt{\frac{3 m L}{q E}} \)
Subject: Chemistry
Which is not a method of preparing
carbon monoxide on a commercial
scale?
\( \left.\text { A }\left.\cdot C_{(} S\right)+H_{2} O_{(g)} \frac{473-1273 K}{\longrightarrow} C O_{(} g\right)+H_{2(g)} \)
B . \( \left.2 C(s)+O_{2(g)}+4 N_{2(g)} \stackrel{1273 K}{\longrightarrow} 2 C O_{(} g\right)+4 N_{2(g)} \)
\( \mathbf{c} \cdot 2 C_{(s)}+O_{2(g)} \stackrel{\Delta}{\longrightarrow} 2 C O_{(g)} \)
D. \( H C O O H \frac{373 K}{\operatorname{coc} H F s O_{1}} \rightarrow H_{2} O+C O \)
Subject: Chemistry
The dissociation constant of a
substituted benzoic acid at \( 25 \mathrm{C} \) is
\( 1.05 \times 10^{-4} . \) The pH of \( 0.01 \mathrm{M} \) solution
of its sodium salt is.
\( A \cdot 8 \)
B. 6
\( c \cdot 5 \)
D. 4
Subject: Chemistry
(i) Draw the geometrical isomer of
\( \operatorname{complex}\left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{C l}_{2}\right] \)
(ii) On the basis of crystal field theory,
write the electronic configuration for \( \boldsymbol{d}^{4} \)
ion if \( \Delta_{0}<P \)
(iii) Write the hybridization and magnetic behaviour of the complex
\( \left[N i(C O)_{4}\right] \)
(At. no. of Ni=28).
Subject: Maths
Assertion
Consider \( \boldsymbol{E}_{\boldsymbol{i}}, \boldsymbol{i}=\mathbf{1}, \boldsymbol{2}, \ldots \ldots, \boldsymbol{n} \) as \( \boldsymbol{n} \)
mutually exclusive events of an
experiment.
\( \boldsymbol{P}\left(\boldsymbol{E}_{1}\right)+\boldsymbol{P}\left(\boldsymbol{E}_{2}\right)+\ldots+\boldsymbol{P}\left(\boldsymbol{E}_{n}\right) \leq 1 \)
Reason
\( \boldsymbol{P}\left(\boldsymbol{E}_{1} \cup \boldsymbol{E}_{2} \cup \ldots . . \cup \boldsymbol{E}_{n}\right)=\boldsymbol{P}\left(\boldsymbol{E}_{1}\right)+ \)
\( \boldsymbol{P}\left(\boldsymbol{E}_{2}\right)+\ldots \ldots+\boldsymbol{P}\left(\boldsymbol{E}_{n}\right) \)
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