AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
In an election between two candidates,
one got \( 55 \% \) of the total valid votes, \( 20 \% \) of the votes were invalid. If the total
number of votes was 7500 , the number
of valid votes that the other candidates
got, was?
A. 2700
B. 2900
\( c .3000 \)
D. 3100
Subject: Maths
The value of
\( \lim x \rightarrow \infty x^{2} \sin (\operatorname{en} \sqrt{\cos \frac{\pi}{x}}) \) is
\( A \cdot-\frac{\pi^{2}}{2} \)
B. \( -\frac{\pi}{1} \)
c. \( \frac{\pi^{2}}{2} \)
D. \( \frac{\pi^{2}}{4} \)
Subject: Maths
The area of the plane region bounded by
the curve \( x+2 y^{2}=0 \) and \( x+3 y^{2}=1 \)
is equal to:
A \( \cdot-\frac{4}{3} \)
B. \( \frac{4}{3} \)
\( c \cdot \frac{2}{3} \)
D. None of these
Subject: Chemistry
(a) Given reasons for the following:
(i) \( M n^{3+} \) is a good oxidising agent
(ii) \( E_{M^{2+} / M}^{\circ} \) values are not regular for
fist row transition metals (3 \( \boldsymbol{d} \) series).
(iii) Although \( F \) is more electronegative than \( O \), the highest \( M n \) fluoride is
\( M n F_{4}, \) whereas the highest oxide is
\( \boldsymbol{M} \boldsymbol{n}_{2} \boldsymbol{O}_{7} \)
(b) Complete the following equations:
(i) \( 2 C r O_{4^{-}}^{2}+2 H^{+} \rightarrow \)
(ii) \( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \)
Subject: Physics
A transformer consists of 500 turn in
primary coil and 10 turns in secondary coil with the load of \( 10 \Omega \). Find out
current in the primary coil when the voltage across secondary coil is \( 50 \mathrm{V} \)
A . \( 0.3 \mathrm{A} \)
B. 0.1A
c. \( 0.5 \mathrm{A} \)
D. \( 0.7 \mathrm{A} \)
Subject: Chemistry
Some substances are acidic while
others are basic. A scale called the pH
scale is used to measure the extent of
acidity. What will happen to the pH of
the solution if a little acid is added to a
beaker of water (original \( \mathrm{pH}=7 \) )?
A. It will become a little less than 7
B. It will become a little more than 7
c. It will remain 7
D. It will become 0
Subject: Chemistry
Karthik performed the following
experiment by taking a few solutions and phenolphthalein indicator.
Identify \( p, q, r \) in his experiment :
\( \mathbf{A} \cdot \mathbf{p} \rightarrow \operatorname{Acid}, \mathbf{q} \rightarrow \operatorname{Acid}, \mathbf{r} \rightarrow \mathbf{B} \) ase
B. \( p \rightarrow \) Base \( q \rightarrow \) Acid, \( r \rightarrow \) Base
c. \( p \rightarrow \) Base, \( q \rightarrow \) Base, \( r \rightarrow \) Acid
D. \( p \rightarrow \) Base, \( q \rightarrow A c i d, r \rightarrow \) Acid
Subject: Maths
If \( \boldsymbol{R} \) divides the line segment joining \( P(2,3,4) \) and \( Q(4,5,6) \) in the ratio
\( -3: 2, \) then the parameter which
represent \( \boldsymbol{R} \) is
\( A \cdot 3 \)
B . 2
\( c . \)
D. -
Subject: Chemistry
Sulphuric acid is strong dehydrating agent. Give a chemical reaction in which the above property is exploited.
A \( \cdot C_{6} H_{12} O_{6} \rightarrow 6 C+6 H_{2} O \)
в. \( H_{2} S O_{4} \rightarrow S O_{3}+H_{2} O \)
c. \( H_{2} S O_{4}+P \rightarrow H_{3} P O_{4}+S O_{2}+H_{2} O \)
D. \( H_{2} S O_{4}+N a O H \rightarrow N a H S O_{4}+H_{2} O \)
Subject: Maths
If \( A \) is a \( 3- \) rowed square matrix and
\( |\mathbf{3} \boldsymbol{A}|=\boldsymbol{k}|\boldsymbol{A}| \) then \( \boldsymbol{k}=? \)
\( A \cdot 3 \)
B. 9
\( c \cdot 27 \)
D.
Subject: Maths
\( A=x / x \) is a two digit number, which
divisible by \( 2(\text { or }) 3 \) and \( x \leq 50, B= \)
\( x / x \) is a two digit number, which
divisible by 6 and \( x \leq 50 \).Find \( n(A \cup B)=? \)
\( n(A \cap B)=? \)
Subject: Physics
A boats man finds that he can save 6
\( \sec \) in crossing a river by quicker path, then by shortest path if the velocity of boat and river be respectively \( 17 \mathrm{m} / \mathrm{s} \) and \( 8 \mathrm{m} / \mathrm{s} \), then river width is?
\( \mathbf{A} \cdot 675 \mathrm{m} \)
B. \( 765 \mathrm{m} \)
\( c .567 \mathrm{m} \)
D. 657 m
Subject: Chemistry
For the following concentration cell,to be
spontaneous \( \boldsymbol{P t}\left(\boldsymbol{H}_{2}\right) \boldsymbol{P}_{1} \boldsymbol{a} \boldsymbol{t m} \mid \boldsymbol{H} \boldsymbol{C l} \| \boldsymbol{P t}\left(\boldsymbol{H}_{2}\right), \boldsymbol{P}_{2} \boldsymbol{a} \boldsymbol{t m} \)
Which of the following is correct?
A \( \cdot P_{1}=P_{2} \)
в. \( P_{1}<P_{2} \)
c. \( P_{1}>P_{2} \)
D. Can't be predicted
Subject: Physics
Assertion (A) : Silver is a ductile
material, Reason (R): For a ductile material yield point and breaking point are separated by larger distance than for brittle
materials on the stress-strain curve.
A. Both assertion and reason are true and the reason is correct explanation of the assertion
B. Both assertion and reason are true, but reason is not correct explanation of the assertion
c. Assertion is true, but the reason is false
D. Assertion is false, but the reason is true
Subject: Chemistry
The rate law for a reaction between
substances \( A \) and \( B \) is given by Rate\( = \)
\( \boldsymbol{k}[\boldsymbol{A}]^{n}[\boldsymbol{B}]^{m} \) On doubling the
concentration of \( A \) and halving the concentration of \( \mathrm{B} \), the ratio of the new
rate to the earlier rate of reaction will
be:
\( A \cdot m+n \)
B. n-m
\( c \cdot 2^{n-m} \)
D. \( \frac{1}{2^{m+n}} \)
Subject: Physics
A ball is thrown vertically upwards. The
positive direction is taken to be in
upward direction.

Which of the following is the correct
sign of the quantities during its
ascent?
\( \begin{array}{llll} & \text { POSITION } & \text { VELOCITY } & \text { ACCELERATIO } \\ \text { (A) } & \text { Positive } & \text { Positive } & \text { Positive } \\ \text { (B) } & \text { Positive } & \text { Positive } & \text { Negative } \\ \text { (C) } & \text { Positive } & \text { Negative } & \text { Negative } \\ \text { (D) } & \text { Negative } & \text { Positive } & \text { Negative } \\ \text { (E) } & \text { Negative } & \text { Negative } & \text { Negative }\end{array} \)
\( A \cdot A \)
B. B
\( c \cdot c \)
\( D \cdot D \)
\( E \)
Subject: Chemistry
The eight species that follow all have covalent bonds. In which pair do the
species have different shapes from each other?
A. \( B e C l_{2} \) and \( C O_{2} \)
B. \( C H_{4} \) and \( N H_{4}^{+} \)
c. \( N H_{3} \) and \( B F_{3} \)
D. \( S C l_{2} \) and \( H_{2} O \)
Subject: Physics
A geyser heats water flowing at the rate of 4 litre per minutes from \( 30 \mathrm{C} \) to \( 85 \mathrm{C} \) If the geyser operates on gas burner then the amount of heat used per
minute is :
A \( \cdot 9.24 \times 10^{5} \) j
В. \( 6.24 \times 10^{7} \),
D. \( 6.24 \times 10^{5} \) j
Subject: Physics
The time taken by block to sliding downward from the smooth surface of
an angle \( 45^{\circ}, \) the time taken by block
kept on same type of rough surface is 'n times. Then what is the coefficient of
friction between block and surface?
A \( \cdot\left(1-\frac{1}{n^{2}}\right)^{\frac{1}{2}} \)
B. \( \left(\frac{1}{1-n^{2}}\right)^{\frac{1}{2}} \)
c. \( \left(1-\frac{1}{n^{2}}\right) \)
\( D \cdot\left(\frac{1}{1-n^{2}}\right) \)
Subject: Maths
A bag contains 3 red and 3 green balls
and a person draws out 3 at random. He then drops 3 blue balls into the bag and again draws out 3 at random. The chance that the 3 later balls being all of different colors is
A . \( 15 \% \)
B . 20\%
c. \( 60 \% \)
D. 40\%
Subject: Chemistry
The order decreasing reactivity towards an electrophilic reagent for the
following compound is:
(a) Benzene
(b) Toluene
(c) Chlorobenzene and
(d) Phenol
A. \( d>b>a>c \)
в. \( a>b>c>d \)
c. \( b>d>a>c \)
D. \( d>c>b>a \)
Subject: Chemistry
If the shortest wavelength of the
spectral line of \( H e^{+} \) in Lyman series is
\( x, \) then longest wavelength of the line in Balmer series of \( L i^{2+} \) is:
A. \( \frac{5 x}{4} \)
в. \( \frac{4 x}{5} \)
c. \( \frac{16 x}{5} \)
D. \( 9 x \)
Subject: Physics
The angle between two vectors \( (2 \hat{i}+ \) \( 3 \hat{j}+\hat{k}) \) and \( (-3 \hat{i}+6 \hat{k}) \) is :-
A \( \cdot 0^{\circ} \)
B . 45
\( c \cdot 60 \)
D. 90
Subject: Chemistry
Given
\( \boldsymbol{S}_{(s)}+\boldsymbol{O}_{2(g)} \rightarrow \boldsymbol{S} \boldsymbol{O}_{2(g)} ; \quad \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -\mathbf{2 9 8 . 2 k J} \)
\( \boldsymbol{S} \boldsymbol{O}_{2(g)}+\frac{1}{2} \boldsymbol{O}_{2(g)} \rightarrow \boldsymbol{S} \boldsymbol{O}_{3(g)} ; \quad \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -98.7 k J \)
\( \boldsymbol{S O}_{\boldsymbol{3}(\boldsymbol{g})}+\boldsymbol{H}_{2} \boldsymbol{O}_{(l)} \rightarrow \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4(l)} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -130.2 k J \)
\( \boldsymbol{H}_{2(g)}+\frac{1}{2} \boldsymbol{O}_{2(g)} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -287.3 k J \)
The enthalpy of formation of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) will
be :
\( \mathbf{A} \cdot-814.4 k J \)
В. \( +320.5 k J \)
c. \( -650.3 k J \)
D . \( -933.7 k J \)
Subject: Physics
Three long, straight and parallel wires are arranged as shown in figure. The
force experienced by \( 10 \mathrm{cm} \) length of
wire \( \boldsymbol{Q} \) is
A \( .1 .4 \times 10^{-4} N \) toward the right
B. \( 1.4 \times 10^{-4} N \) toward the left
c. \( 2.6 \times 10^{-4} N \) toward the right
D. \( 2.6 \times 10^{-4} N \) toward the left
Subject: Chemistry
Peroxy acids of sulphur are:
This question has multiple correct options
\( \mathbf{A} \cdot H_{2} S_{2} O_{8} \)
\( \mathbf{B} \cdot H_{2} S O_{5} \)
\( \mathbf{c} \cdot H_{2} S_{2} O_{7} \)
D. \( H_{2} S_{2} O_{3} \)
Subject: Maths
If \( x^{p} \) occurs in the equation \( \left(x^{2}+\frac{1}{x}\right)^{2 n} \) prove that its coefficient is
\( \frac{\mid 2 n}{\mid \frac{1}{3}(4 n-p)} \mid \frac{1}{3}(2 n+p) \)
Subject: Physics
A ring is made of a wire having a
resistance \( R_{0}=12 \Omega \). Find the points \( A \)
and \( \mathrm{B} \) as shown in fgure at which a current carrying conductor should be
connected so that the resistance \( R \) of
the sub circuit between these points is
equal to \( \frac{8}{3} \Omega \)
A \( \cdot \frac{l_{1}}{l_{2}}=\frac{3}{8} \)
B \( \cdot \frac{l_{1}}{l_{2}}=\frac{1}{2} \)
\( \mathbf{c} \cdot \frac{l_{1}}{l_{2}}=\frac{5}{8} \)
D. \( \frac{l_{1}}{l_{2}}=\frac{1}{3} \)
Subject: Physics
Assertion
Two bodies at different temperatures, if brought in thermal contact do not necessarily settle to the mean temperature.
Reason
The two bodies may have different thermal capacities.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
What is the speed of the proton when it is \( 8 A \) away from the nucleus?
A \( \cdot 1.85 \times 10^{5} \mathrm{ms}^{-1} \)
В. \( 1.85 \times 10^{4} m s^{-1} \)
c. \( 1.85 \times 10^{3} m s^{-1} \)
D. \( 1.85 \times 10^{2} \mathrm{ms}^{-1} \)
Subject: Chemistry
In which of the following pairs of compounds xenon is involved in \( s p^{3} \) hybridisation:
A. \( X e F_{2}, X e F_{4} \)
в. \( X e F_{2}, X e F_{6} \)
c. \( X e F_{4}, X e F_{6} \)
D. \( X e O_{3}, X e O_{4} \)
Subject: Physics
In the adjacent, \( C P \) represents a
wavefront and \( A O \& B P, \) the
corresponding two rays. Find the
condition on \( \theta \) for constructive
interference at \( \boldsymbol{P} \) between the ray \( \boldsymbol{B P} \)
and reflected ray \( \boldsymbol{O P} \)
\( A \cdot \cos \theta=3 \lambda / 2 d \)
B. \( \cos \theta=\lambda / 4 d \)
\( \mathbf{c} \cdot \sec \theta-\cos \theta=\lambda d \)
\( \mathbf{D} \cdot \sec \theta-\cos \theta=4 \lambda d \)
Subject: Biology
Choose the correct answer among the alternatives given :
Identify the figures of the contraceptives given below and select
the correct option.
A. A - Condom for female, B Implant, C CuT, D- condom for male
B. A Implant, B CuT, C - Condom for female, D - condom for male
c. A - condom for male, B CuT, C Implant, D-condom for female
D. A - condom for male, B Implant, C CuT, D- condom for female
Subject: Physics
A smooth dielectric slab \( A \) of mass \( m \)
and dielectric constant \( k \) is placed
between the plates of a parallel plate capacitor and connected to another
block \( B \) of equal mass \( m \) through a
string and pulley arrangement as shown in the figure.
The capacitor plates with separation \( \delta \)
and width \( b \) are connected to a battery
of emf \( \boldsymbol{E} \) as shown in the figure. The
pulley and string are massless and \( \boldsymbol{E}=\sqrt{\frac{\boldsymbol{m} \boldsymbol{g} \boldsymbol{\delta}}{\boldsymbol{b}(\boldsymbol{k}-\mathbf{1}) \in_{0}}} \)
Subject: Physics
In Young's double slit experiment, the two equally bright slits are coherent, but of phase difference \( \frac{\pi}{3} . \) If maximum
intensity on the screen is \( I_{o} \), the
intensity at the point on the screen equidistant from the slits is:
A \( \cdot I_{o} \)
в. \( \frac{I_{o}}{2} \)
c. \( \frac{I_{o}}{4} \)
D. \( \frac{3 I_{o}}{4} \)
Subject: Physics
Assertion: In series LCR circuit
resonance can take place.
Reason: Resonance takes place if inductance and capacitive reactances are equal and opposite.
A. If both assertion and reason are true but the reason is the correct explanation of assertion.
B. If both assertion and reason are true but the reason is not the correct explanation of assertion
c. If assertion is true but reason is false
D. If both the assertion and reason are false
E. If reason is true but assertion is false
Subject: Maths
\( \sin ^{-1}\left(\sin \left(\frac{2 x^{2}+4}{1+x^{2}}\right)\right)<\pi-3 \) if
A . \( -1 \leq x \leq 0 \)
в. \( 0 \leq x \leq 1 \)
c. \( -1<x<1 \)
D. \( x>1 \)
Subject: Chemistry
\( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \)
For the reaction initially the mole was 1
3 of \( N_{2} \) and \( H_{2} . \) At equilibrium \( 50 \% \) of each has reacted. If the equilibrium pressure is \( p, \) the partial pressure of
\( N H_{3} \) at equilibrium is :
A \( \cdot \frac{p}{3} \)
в. \( \frac{p}{4} \)
c. \( \frac{p}{6} \)
D. \( \frac{p}{8} \)
Subject: Maths
Draw a \( \triangle A B C \) with side \( B C=7 \mathrm{cm} \)
\( \angle B=45^{\circ}, \angle A=105^{\circ} . \) Then, construct
a triangle whose sides are \( \frac{4}{3} \) times the
corresponding sides of \( \triangle \boldsymbol{A B C} \)
Subject: Chemistry
\( B r C H_{2}-C H_{2}-C H=O \) and
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\underset{\mid \boldsymbol{B} \boldsymbol{r}}{\boldsymbol{C}}=\boldsymbol{O} \) are :
A. Functional isomers
B. Position isomers
c. chain isomers
D. Metamers
Subject: Maths
Find the solution of \( \left(\frac{\boldsymbol{x}+\boldsymbol{y}-\boldsymbol{a}}{\boldsymbol{x}+\boldsymbol{y}-\boldsymbol{b}}\right) \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{a}}{\boldsymbol{x}+\boldsymbol{y}+\boldsymbol{b}} \)
\( ^{\mathbf{A}} \cdot(b-a) \log \left\{(x+y)^{2}-a b\right\}=2(x-y)+k \)
в. \( (b-a) \log \left\{(x-y)^{2}-a b\right\}=2(x+y)+k \)
c. \( (b-a) \log \left\{(x-2 y)^{2}-a b\right\}=2(x-y)+k \)
D. \( (b-a) \log \left\{(x+y)^{2}-a b\right\}=2(x+2 y)+k \)
Subject: Chemistry
The reaction between \( H_{2} O_{2} \) and
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \) is \( \boldsymbol{2} \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4}+\boldsymbol{3} \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}+ \)
\( \mathbf{5} \boldsymbol{H}_{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{K}_{2} \boldsymbol{S} \boldsymbol{O}_{4}+\boldsymbol{2} \boldsymbol{M} \boldsymbol{n} \boldsymbol{S} \boldsymbol{O}_{4}+ \)
\( 8 H_{2} O+5 O_{2} \)
In a reaction excess of \( H_{2} O_{2} \) is added to
0.1 mole of acidified \( K M n O_{4} \) solution.
Then the STP volume of \( O_{2} \) liberated is:
A . 5.6
B. 6.6
c. \( 11.2 L \)
D. 22.4 L
Subject: Maths
Evaluate :
\[
\boldsymbol{\Delta}=\left|\begin{array}{ccc}
\cos \alpha \cos \beta & \cos \alpha \sin \beta & -\sin \alpha \\
-\sin \beta & \cos \beta & 0 \\
\sin \alpha \cos \beta & \sin \alpha \sin \beta & \cos \alpha
\end{array}\right|
\]
Subject: Chemistry
\begin{tabular}{l|l|l} 
& \( \mathbf{X} \) & \( \mathbf{Y} \) \\
& & \\
Normal & 2,8,7 & \\
Electronic Configuration Nature of oxide & 2, 8, 2 Dissolves in water and turns blue litmus red & Very low solubility in water. Dissolves in hydrochloric acid \\
Tendency for oxidising and reducing reactions Electrical and Thermal conductivity & Tends to oxidise elements and compounds Very poor electrical conductor Poor thermal conductivity & Tends to act as a reducing agent Good Electrical conductor Good Thermal conductor \\
Tendency to form alloys and amalgums & to form alloys & Forms alloys \\
\hline
\end{tabular} Using the information above, complete
the following
Metals tend to electrons and
\( \operatorname{act} a s \)
agents in their
reactions with elements and
compounds.
Subject: Chemistry
\( 40 \mathrm{ml} \) of \( \frac{M}{4} \) solution of a weak monobasic acid \( \left(\mathrm{K}_{a}=2 \times 10^{-12} \mathrm{at} 25^{0} \mathrm{C}\right) \)
is treated with M/12 sodium hydroxide
solution. The concentration of \( \mathrm{H}^{+} \) ions
at the equivalence point is :
A \( \cdot 1.41 \times 10^{-12} \) М
B. \( \sqrt{5} \times 10^{-13} \) М
c. \( 4 \sqrt{2} \times 10^{-13} \) М
D. \( 2 \sqrt{5} \times 10^{-13} \) М
Subject: Chemistry
toppr
Q Type your question
\( \boldsymbol{H}_{2} \boldsymbol{O}_{2(l)} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}_{(l)}+\frac{1}{2} \boldsymbol{O}_{2(g)}: \boldsymbol{\Delta}_{r} \boldsymbol{G}^{o}= \)
\( -122.6 k J / m o l \)
As the reaction from left to right is accompanied by a decrease in free energy, it is a spontaneous process. However, its decomposition at \( 25^{\circ} \mathrm{C} \) in
the absence of catalysts is slow. The catalysts which accelerate decomposition are \( \mathrm{Pt}, \mathrm{Ag}, \) cobalt, iron, copper, manganese dioxide and light.
Concentrated \( H_{2} O_{2} \) solution can result
into uncontrolled decompositions
leading to explosion. \( H_{2} O_{2} \) thus stored in colored wax-lined bottles (as rough glass surfaces) also causes its decomposition. A few stabilizers such as acids acetanilide, pyrophosphates, and stannates are added to slow down
the decomposition of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
Here \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is a:
A. diamagnetic
c. non-polar
D. all are incorrect
Subject: Physics
A coil having 100 turns is kept in a uniform magnetic field of induction 0.5
T. If its area changes from \( 0.3 m^{2} \) to 0.1
\( m^{2} \) in 10 s, then the emf induced is
\( \mathbf{V} \)
\( A \cdot 2 \)
B. 1
\( c \cdot 4 \)
D.
Subject: Maths
The value of
\( \left|\begin{array}{ccc}a_{1} x+b_{1} y & a_{2} x+b_{2} y & a_{3} x+b_{3} y \\ b_{1} x+a_{1} y & b_{2} x+a_{2} y & b_{3} x+a_{3} y \\ b_{1} x+a_{1} & b_{2} x+a_{2} & b_{3} x+a_{3}\end{array}\right| \) is
equal to
A \( \cdot x^{2}+y^{2} \)
B.
\( \mathbf{c} \cdot a_{1} a_{2} a_{3} x^{2}+b_{1} b_{2} b_{3} y^{2} \)
D. none of these
Subject: Physics
The three flat blocks as shown in the
figure are positioned on the \( 37^{\circ} \) incline
and a force \( P \) parallel to the inclined
plane is applied to the middle block. The
upper block is prevented from moving by a wire which attaches it to the fixed
support. The masses of three blocks in
kg and coefficient of static function for
each of the three pairs of contact surfaces are shown in the figure.
Determine the maximum value which
force \( P \) may have before slipping take place anywhere. \( \left(\boldsymbol{g}=\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
Subject: Chemistry
Statement 1: \( M g O \) has a high melting
point. Statement 2: Highly charged ions result in strong ionic forces and high lattice energies.
A. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement1
B. Both the Statement 1 and Statement 2 are correct, but Statement 2 is NOT the correct explanation of Statement 1.
c. Statement 1 is correct, but statement 2 is not correct
D. Statement 1 is not correct, but Statement 2 is correct
Subject: Maths
Suppose values taken by a variable \( \boldsymbol{X} \)
are such that \( a \leq x_{i} \leq b \) where \( x_{i} \)
denotes the value of \( X \) in the \( i^{i h} \) case
for \( \boldsymbol{i}=\mathbf{1}, \mathbf{2}, \dots . \boldsymbol{n} . \) Then
\( ^{\text {A } \cdot} \frac{a^{2}}{4} \leq \operatorname{Var}(X) \)
В . \( (b-a)^{2} \geq \operatorname{Var}(X) \)
c. \( a \leq \operatorname{Var}(X) \leq b \)
D \( \cdot a^{2} \leq \operatorname{Var}(X) b^{2} \)
Subject: Chemistry
Industrial preparations of \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) by Ostwald's process involves:
A . reduction of \( N H_{3} \)
B. oxidation of \( N H_{3} \)
C. hydrogenation of \( N H_{3} \)
D. hydrolysis of \( N H_{3} \)
Subject: Physics
A cyclist is riding with a speed of 27 \( \mathrm{km} / \mathrm{h} \). As he approaches a circular turn on the road of radius \( 80 \mathrm{m}, \) he applies brakes and reduces his speed at the constant rate of \( 0.50 \mathrm{m} / \mathrm{s} \) every second.
What is the magnitude and direction of the net acceleration of the cyclist on the
circular turn?
Subject: Physics
The position \( x \) of a particle varies with
time \( t \) as \( a t^{2}-b t^{2} . \) The acceleration of
the particle be 0 at time \( t \) equals to
\( A \cdot \frac{a}{b} \)
B・彎
\( c \cdot \frac{a}{3} \)
D. zero
Subject: Maths
If the length of the largest chord of a circle is \( 17 \mathrm{cm}, \) find the radius of a circle.
\( A \cdot 34 \mathrm{cm} \)
B. \( 8.5 \mathrm{cm} \)
c. \( \sqrt{17} \mathrm{cm} \)
D. \( \sqrt{34} \mathrm{cm} \)
Subject: Physics
A rain drop of mass \( 0.1 g \) is falling with
uniform speed of \( 10 \mathrm{cm} / \mathrm{s} \). What is the net force the drop?
A \( \cdot 10^{-2} N \)
В. \( 10^{-3} N \)
c. \( 2 \times 10^{-3} N \)
D. zero
Subject: Maths
\( \mathrm{IF} \sin \Theta=\frac{8}{17} \) where \( 0^{\circ}<\Theta<90^{\circ} \)
then \( \tan \Theta+\sec \Theta \) is
\( A \cdot \frac{1}{3} \)
B. \( \frac{2}{3} \)
\( c \cdot \frac{4}{3} \)
D.
Subject: Chemistry
Prepare hydrogen from dil. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
A \( \cdot 2 Z n+H_{2} S O_{4}(d i l) \rightarrow 2 Z n S O_{4}+H_{2} \)
B. \( Z n+H_{2} S O_{4}(d i l) \rightarrow Z n S O_{4}+H_{2} \)
c. \( Z n+2 H_{2} S O_{4}(d i l) \rightarrow 2 Z n S O_{4}+H_{2} \)
D. \( 2 Z n+2 H_{2} S O_{4}(d i l) \rightarrow 2 Z n S O_{4}+2 H_{2} \)
Subject: Physics
The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook. In a simple pendulum experiment, the length of the string, as measured by a meter scale, is \( 92.0 \mathrm{cm} . \) The radius of
the bob combined with the length of the hook, as measured by a vernier
callipers, is \( 2.15 \mathrm{cm} . \) The effective length of the pendulum is
\( \mathbf{A} \cdot 94.1 \mathrm{cm} \)
B. \( 94.2 \mathrm{cm} \)
c. \( 94.15 \mathrm{cm} \)
D. \( 94 \mathrm{cm} \)
Subject: Chemistry
Which of the following complex will show geometrical as well as optical isomerism?
\( A \)
\( \left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \)
в. \( \left[P t\left(N H_{3}\right)_{2} C l_{4}\right] \)
c. \( \left[P t(e n)_{3}\right]^{4} \)
D \( \cdot\left[P t(e n)_{2} C l_{2}\right] \)
Subject: Maths
Consider the table given below
Marks \( \begin{array}{llll}0- & 10- & 20- & 30- \\ 10 & 20 & 30 & 40\end{array} \)
Number
of
Students
\[
\begin{array}{lll}
18 & 27 & 20
\end{array}
\]
12
The arithmetic mean of the marks given above is
A . 18
B. 28
\( c \cdot 27 \)
D. 6
Subject: Physics
Breaking stress of a material is \( 2 \times \) \( 10^{8} N / m^{2} . \) What maximum length of
the wire of this material can be so that the wire does not break my own weight? [Density of material \( =\mathbf{5} \times \mathbf{1 0}^{\mathbf{3}} \mathbf{k g} / \mathbf{m}^{\mathbf{3}} \mathbf{]} \)
A. \( 1 k m \)
B. \( 2 \mathrm{km} \)
\( c .3 k m \)
D. \( 4 k m \)