AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Q Type your question
a convex lens.
Arrange the steps in the proper
sequence.
(a) Place the lens on a V-shaped stand.
(b) Place the object at \( 2 F_{1} \)
(c) Place the object between \( 2 F_{1} \) and \( F_{1} \)
(d) Determine the focal length of the lens by focusing the lens to a distant object like a tree.
(e) Adjust the position of the screen behind the lens to obtain a clear image and study the nature of the image.
(f) Mark the positions of \( F_{1}, 2 F_{1}, F_{2} \)
and \( 2 F_{2} \)
(g) Focus the lens to a distant object like a tree.
(h) Place the object just behind \( 2 F_{1} \)
(i) Place the object at \( \boldsymbol{F}_{1} \)
(j) Place the object between \( F_{1} \) and optic centre of the lens and observe that the image formed is virtual.
\( A \cdot \) a f \( d h \) e \( g \) e b e ce ej
B. b a fhe gec
c. a dfge he bece iej
D. a df ge he cebeje
Subject: Physics
The area of a coil is \( 500 c m^{2} \) and the
number of turns in it is \( 2000 . \) It is kept
perpendicular to a magnetic field of induction \( 4 \times 10^{-5} W b / m^{2} . \) The coil is
rotated through 180 in 0.1 second. If
the resistance of the total circuit is \( 20 \Omega \)
then the value of the induced charge
flowing in the circuit will be :
A \( \cdot 1 \times 10^{-4} C \)
В. \( 2 \times 10^{-4} \mathrm{C} \)
c. \( 3 \times 10^{-4} C \)
D. \( 4 \times 10^{-4} C \)
Subject: Maths
The variance of first \( n \) natural numbers,
is
\( ^{\text {A } \cdot \frac{n+1}{2}} \)
B. \( \frac{n^{2}+1}{12} \)
c. \( \frac{n^{2}-1}{6} \)
D. \( \frac{n^{2}-1}{12} \)
Subject: Physics
A metal rod of length \( L \) cross-sectional area A Young's modulus Y and coefficient of linear expansion \( \alpha \) is
heated to \( t^{o} C . \) The work that can be
performed by the rod when heated is:
A \( \cdot \frac{Y A \alpha L t^{2}}{2} \)
B. \( \frac{Y A \alpha^{2} L t^{2}}{2} \)
\( \frac{Y A \alpha^{2} L^{2} t^{2}}{2} \)
D. \( \frac{Y A \alpha L t}{2} \)
Subject: Chemistry
The solubility of \( N_{2} \) in water is \( 2.2 \times \) \( 10^{-4} g \) in \( 100 g \) of \( H_{2} O \) at \( 20^{\circ} C \) when
the pressure of \( N_{2} \) over the solution is
1.2 atm.

Calculate the solubility at \( 20^{\circ} \mathrm{C} \) when
the pressure of \( N_{2} \) over the solution is
\( \mathbf{1 0} \) at \( \boldsymbol{m} \)
A \( \cdot 1.25 \times 10^{-3} g / 100 g \mathrm{H}_{2} \mathrm{O} \)
B . \( 1.49 \times 10^{-3} g / 100 g H_{2} O \)
c. \( 2.56 \times 10^{-3} g / 100 g H_{2} O \)
D. \( 1.83 \times 10^{-3} g / 100 g H_{2} O \)
Subject: Physics
A solid sphere is projected up along an inclined plane from its bottom with a
velocity \( 2.8 m s^{-1} \) so that it rolls upward.
If the inclined plane makes an angle of
\( 30^{\circ} \) with the horizontal, the sphere can
roll to a maximum height of : (Take \( \boldsymbol{g}= \)
\( \left.10 m / s^{2}\right) \)
\( \mathbf{A} \cdot 0.35 m \)
B. \( 0.55 m \)
\( c .0 .7 m \)
D. \( 0.84 m \)
Subject: Maths
The direction cosines of the line joining the points (2,3,-1) and (3,-2,1) are
в. \( \frac{1}{\sqrt{30}},-\sqrt{\frac{5}{6}} \cdot \sqrt{\frac{2}{15}} \)
c. \( \frac{-1}{30}, \frac{1}{6},-\frac{1}{15} \)
D. none of these
Subject: Chemistry
Acidic solution of \( F e^{2+} \) ion gives a
brown ring when it comes in contact
with \( N O_{3}^{-} \) ion. Complete the following reactions of this process.
\( \left[\boldsymbol{F} e\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{2+}+_{-}-_{-}-\ldots \rightarrow \)
\( +\boldsymbol{H}_{2} \boldsymbol{O} \)
Subject: Maths
The D.E whose solution is \( y=c \sin x \) is:
This question has multiple correct options
A \( \cdot \frac{d y}{d x}=y \cot x \)
\( \mathbf{B} \cdot y_{2}+y=0 \)
C \( \cdot \frac{d y}{d x}=y \cos x \)
D. \( \frac{d y}{d x}=y \csc x \)
Subject: Physics
A magnifying glass has \( f=12 \mathrm{cm} . \) To produce maximum angular magnification the object should be placed at a distance of (Least distance
of clear vision \( =25 \mathrm{cm} \) ):
\( A \cdot 71 \mathrm{cm} \)
B. \( 68 \mathrm{cm} \)
c. \( 8.4 \mathrm{cm} \)
D. 8.1 \( \mathrm{cm} \)
Subject: Maths
The condition that the slope of one of
the lines represented by \( a x^{2}+2 h x y+ \)
\( b y^{2}=0 \) is twice that of the other is
A \( \cdot h^{2}=a b \)
B \( \cdot 2 h^{2}=3 a b \)
D. \( 4 h^{2}=9 a b \)
Subject: Maths
Differentiate the following w.r.t. \( x \)
\( \left(2 x^{2}+9\right)^{3} \)
A \( \cdot 4\left(2 x^{2}+9\right)^{2} x \)
B. \( 12\left(2 x^{2}+9\right)^{2} x \)
c. \( 12\left(2 x^{2}+9\right)^{3} x \)
D. \( 6\left(2 x^{2}+9\right)^{2} x \)
Subject: Chemistry
Give reason:
\( \left[\boldsymbol{T} \boldsymbol{i}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+} \) is coloured while
\( \left[S c\left(H_{2} O\right)_{6}\right]^{3+} \) is colourless
Subject: Maths
The following is the frequency
distribution of time (in minutes) a
worker takes to complete the work. Find mean time taken by a worker to
complete the work by using 'Assumed Mean Method'.
\begin{tabular}{ll} 
Time (in minutes) & No. of Workers \\
\( 20-24 \) & 2 \\
\( 25-29 \) & 10 \\
\( 30-34 \) & 20 \\
\( 35-39 \) & 28 \\
\( 40-44 \) & 25 \\
\( 45-49 \) & 15 \\
\hline
\end{tabular}
Subject: Chemistry
A chemist interested in the reactivity of iodine concentrates his study on the decomposition of gaseous hydrogen iodide (Reaction 1).
\( 2 H I(g) \leftrightharpoons H_{2}(g)+I_{2}(g) \)
What is the equilibrium expression for Reaction 1?
\( \mathbf{A} \cdot\left[H_{2}\right]^{2}\left[I_{2}\right] \)
B \cdot \( \left[\mathrm{H}_{2}\right] \)
\( \mathbf{c} \cdot\left[H_{2}\right]\left[I_{2}\right] /[H I]^{2} \)
D \( \cdot\left[H_{2}\right]\left[I_{2}\right]^{2} \)
Subject: Chemistry
\( N H_{3} \) gas is liquefied more easily than
\( N_{2} . \) Hence:
A. vander Waals' constants a and b of \( N H_{3} \) > that of \( N_{2} \)
B. vander Waals' constants a and b of \( N H_{3} \) < that of \( N_{2} \)
C \( \cdot a\left(N H_{3}\right)>a\left(N_{2}\right) \) but \( b\left(N H_{3}\right)<b\left(N_{2}\right) \)
D・ \( a\left(N H_{3}\right)<a\left(N_{2}\right) \) but \( b\left(N H_{3}\right)>b\left(N_{2}\right) \)
Subject: Chemistry
The compound \( 2- \) methy -2
butene on reaction with \( N a I O_{4} \) in the
presence of \( K M n O_{4} \) gives:
\( \mathbf{A} \cdot C H_{3} C O O H \)
B . \( C H_{3} C O C H_{3}+C H_{3} C O O H \)
\( \mathbf{c} \cdot C H_{3} C O C H_{3}+C H_{3} C H O \)
\( \mathrm{D} \cdot \mathrm{CH}_{3} \mathrm{CHO}+\mathrm{CO}_{2} \)
Subject: Physics
150 metre long train takes 10 seconds to pass a man who is going in the same
direction at the speed of \( 2 \mathrm{km} / \mathrm{hr} \). What is the speed of the train?
\( \mathbf{A} \cdot 52 \mathrm{km} / \mathrm{hr} \)
B. \( 56 \mathrm{km} / \mathrm{hr} \)
\( \mathbf{c} .84 \mathrm{km} / \mathrm{hr} \)
D. Data inadequate
Subject: Chemistry
The total number of electrons present in \( 18 m L \text { water (density } 1 g / m L) \) is:
A. \( 6.023 \times 10^{23} \)
В. \( 6.023 \times 10^{24} \)
c. \( 6.023 \times 10^{25} \)
D. \( 6.023 \times 10^{21} \)
Subject: Physics
Two wires of resistance \( R_{1} \) and \( R_{2} \) at 0
C have temperature coefficient of
resistance \( \alpha_{1} \) and \( \alpha_{2} \) respectively.These are joined in series.The effective temperature coefficient of resistance
is:-
A. \( \frac{\alpha_{1}+\alpha_{2}}{2} \)
B. \( \sqrt{\alpha_{1} \alpha_{2}} \)
c. \( \frac{\alpha_{1} R_{1}+\alpha_{2} R_{2}}{R_{1}+R_{2}} \)
D. \( \frac{\sqrt{R_{1} R_{2} \alpha_{1} \alpha_{2}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}} \)
Subject: Physics
A potential difference of \( 600 \mathrm{V} \) is
applied across the plates of a parallel plate capacitor placed in a magnetic field. The separation between the plates is \( 3 \mathrm{mm} . \) An electron projected vertically upward, parallel to the plates, with a velocity of \( 2 \times 10^{6} m s^{-1} \) moves
undeflected between the plates. Find the magnitude and direction of the magnetic field in the region between the capacitor plates. Find the magnitude and direction of the magnetic field in the region between the capacitor plates. Given the Charge of the electron \( =-1.6 \times 10^{-19} C \)
Subject: Chemistry
How many grams of copper will be
deposited from a solution of \( C u S O_{4} \)
bypassing 0.5 faradays of electricity? [Atomic weight of \( \boldsymbol{C u}=\mathbf{6 3 . 5} \text { g/mole }] \)
A. \( 31.75 \mathrm{g} \)
B. 63.6 g
c. \( 15.875 \mathrm{g} \)
D. 127 g
Subject: Maths
Given the following six statements:
(1) All women are good drivers
(2) Some women are good drivers
(3) No men are good drivers
(4) All men are bad drivers
(5) At least one man is a bad driver
(6) All men are good drivers. The statement that negates statement
(6) is:
A . (1)
B. (2)
\( c \cdot(3) \)
\( D \cdot(4) \)
E. (5)
Subject: Chemistry
Assertion
CuFeS is concentrated by froth
flotation method.
Reason
CuFeS \( _{2} \) is main ore of copper.
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 and Reason is correct
Subject: Physics
Assertion
When two long parallel wires, hanging freely are connected in series to a battery, they come closer to each other.
Reason
Wires carrying current in opposite direction repel each other.
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
What is the percent profit earned by the
shopkeeper on selling the articles in his
shop?
I. Labeled price of the article sold was
\( 130 \% \) of the cost price.
II. cost price of each article was \( \boldsymbol{R} \boldsymbol{s} . \mathbf{5 5 0} \).
III. A discount of \( 10 \% \) on labeled price
was offered.
A. Only I
B. Only II
c. I and III
D. All the three are required
E. Question cannot be answer even with information in all the three statements
Subject: Maths
The 4 th term of a geometric progression is \( \frac{2}{3} \) and 7 th term is \( \frac{16}{81} . \) Find the
Geometric series.
A \( \cdot \frac{9}{4},-\frac{3}{2}, 1,-\frac{2}{3}, \dots \dots \)
в. \( \frac{9}{4}, \frac{3}{2}, 1, \frac{2}{3}, \ldots . . . \)
c. \( -\frac{9}{4}, \frac{3}{2}, 1, \frac{2}{3}, \ldots \ldots \)
D. None of these
Subject: Chemistry
\( \mu=\sqrt{15} \) is true for the pair:
A \( \cdot C o^{2+}, C r^{3+} \)
B. \( F e^{+2}, C r^{+3} \)
\( \mathbf{c} \cdot F e^{+3}, F e^{+2} \)
D. \( M n^{+2}, F e^{+2} \)
Subject: Maths
Construct a quadrilateral \( P Q R S, \) with
\( \boldsymbol{P Q}=\mathbf{3} \mathrm{cm}, \boldsymbol{Q} \boldsymbol{R}=\mathbf{9} \mathrm{cm}, \boldsymbol{R} \boldsymbol{S}=\mathbf{5} \mathrm{cm} \)
\( \angle Q=45^{\circ}, \angle R=60^{\circ} \)
Subject: Chemistry
Which one is not correct for e.m.f. of a
galvanic cell?
This question has multiple correct options
\( \mathbf{A} \cdot E_{c e l l}=E_{O P_{a n o d e}}+E_{R P_{c a t h a d e}} \)
B. \( E_{\text {cell}}=E_{O P_{L H S}}+E_{R P_{\text {RHS}}} \)
C \( . E_{\text {cell}}= \) higher oxidation potential - lower oxidation potential
D. \( E_{\text {cell}}= \) lower oxidation potential - higher oxidation potential
Subject: Physics
There are some passengers inside a stationary railway compartment. The
centre of mass of the compartment
itself (without the passengers) is \( C_{1} \)
while the centre of mass of the
compartment plus passengers' system
is \( C_{2} \). If the passengers move about
inside the compartment then
A \( . \) both \( C_{1} \) and \( C_{2} \) will move with respect to the ground
B. neither \( C_{1} \) nor \( C_{2} \) will be stationary with respect to the ground
C. \( C_{1} \) will move but \( C_{2} \) will be stationary with respect to the ground
D. \( C_{2} \) will move but \( C_{1} \) will be stationary with respect to the ground
Subject: Chemistry
Suppose that we change \( U_{R M S} \) of gas in
a closed container from \( 5 \times 10^{2} \mathrm{cm} / \mathrm{sec} \)
to \( 10 \times 10^{2} \mathrm{cm} / \mathrm{sec}, \) which one of the
following might correctly explain how this change was accomplished?
A. By heating the gas w double the temperature
B. By removing 75\% of the gas at constant volume we decrease the pressure to one quarter of its origina value
c. By heating the gas we quadruple the pressure
D. By pumping in more gas at constant temperature we quadruple the pressure
Subject: Maths
The value of \( K \) in order that \( f(x)= \)
\( \sin x-\cos x-K x+5 \) decreases for all
positive real values of \( x \) is given by
A \( . K<1 \)
в. \( K \geq 1 \)
c. \( K>\sqrt{2} \)
D. \( K<\sqrt{2} \)
Subject: Maths
The negation of \( \sim s \vee(\sim r \wedge s) \) is
equivalent to
\( \mathbf{A} \cdot S \wedge r \)
В. \( S \wedge \sim(r \wedge \sim s) \)
c. \( S \vee \sim(r \wedge \sim s) \)
D. None of These
Subject: Maths
The point equidistant from the point \( \boldsymbol{O}(\mathbf{0}, \mathbf{0}, \mathbf{0}), \boldsymbol{A}(\boldsymbol{a}, \mathbf{0}, \mathbf{0}), \boldsymbol{B}(\mathbf{0}, \boldsymbol{b}, \mathbf{0}) \) and
\( C(0,0, c) \) has the coordinates
\( \mathbf{A} \cdot(a, b, c) \)
B. \( (a / 2, b / 2, c / 2) \)
c. \( (a / 3, b / 3, c / 3) \)
D. \( (a / 4, b / 4, c / 4) \)
Subject: Physics
The percentage errors in the measurement of the length (L) and breadth (B) of a rectangle are \( \ell \) and \( b \% \) respectively. Then the percentage error in the calculation of the area will be
\( A \cdot(\mid b) \% \)
B. (1+b)\%
\( c \cdot(L+1)(B+b) \)
D. Lb+BL
Subject: Chemistry
Lanthanoid contraction is applicable on which group of the following element
set?
This question has multiple correct options
A \( . Z n, \) Cd, \( H g \)
в. \( T i, Z r, H f \)
c. \( S c, Y, L a \)
D. \( C u, A g, Z n \)
E. \( V, N b, T a \)
Subject: Physics
The distance between two rails of
railway track is \( 1.6 \mathrm{m} \) along a curve of radius \( 800 \mathrm{m} . \) The outer rail is raised
above the inner rail by \( 10 \mathrm{cm} . \) With what maximum speed can a train be safely driven along the curve
A . 22.2 \( \mathrm{m} / \mathrm{sec} \)
B. 12.2 \( \mathrm{m} / \mathrm{sec} \)
c. \( 42.2 \mathrm{m} / \mathrm{sec} \)
D. \( 90.9 \mathrm{m} / \mathrm{sec} \)
Subject: Maths
STATEMENT - 1: The volume of largest
sphere that can be carved out from cube of side a cm is \( \frac{1}{6} \pi a^{3} \)

STATEMENT - 2: Volume of sphere is \( \frac{4}{3} \pi r^{3} \) and for largest sphere to carved from cube radius of sphere \( = \) side of
cube
A. Statement - 1 is True, Statement - 2 is True, Statement 2 is a correct explanation for Statement - 1
B. Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
c. statement - 1 is True, Statement - 2 is False
D. Statement - 1 is False, Statement - 2 is True
Subject: Biology
Which one of the following statements
is true regarding digestion and absorption of food in humans?
A. Fructose and amino acids are absorbed through intestinal mucosa with the help of carrier ions like \( N a^{+} \)
B. Chylomicrons are small lipoprotein particles that are transported from intestine into blood capillaries
C. About \( 60 \% \) of starch is hydrolysed by salivary amylase in our mouth
D. Oxyntic cells in our stomach secrete the proenzyme pepsinogen
Subject: Maths
In the given figure points \( A, D, P, C \) and \( B \) lie on a circle with centre
\( \boldsymbol{O}, \angle \boldsymbol{B O D}=\mathbf{1 5 0}^{\circ} \) Find the measures
of \( \angle B P D, \angle B C D \) and \( \angle B A D \)
Subject: Maths
Resolve \( \frac{6 x^{4}+11 x^{3}+18 x^{2}+14 x+6}{(x+1)\left(x^{2}+x+1\right)^{2}} \)
into partial fractions.
A \( \frac{5}{x+1}+\frac{(x-1)}{\left(x^{2}+x+1\right)}+\frac{(3 x+2)}{\left(x^{2}+x+1\right)^{2}} \)
в. \( \frac{5}{x+1}-\frac{(x-1)}{\left(x^{2}+x+1\right)}+\frac{(3 x+2)}{\left(x^{2}+x+1\right)^{2}} \)
c. \( \frac{5}{x+1}+\frac{(x-1)}{\left(x^{2}+x+1\right)}-\frac{(3 x+2)}{\left(x^{2}+x+1\right)^{2}} \)
D. \( \frac{5}{x+1}+\frac{(x+1)}{\left(x^{2}+x+1\right)}+\frac{(3 x+2)}{\left(x^{2}+x+1\right)^{2}} \)
Subject: Chemistry
A copper rod and \( A l \) rod are placed in
conc. \( H N O_{3} \) in separate containers.
Which of the following observations are found after some time?
A. Copper rod and Aluminium rod continue to deteriorate at the same rate
B. Copper rod continues to deteriorate while aluminium rod deteriorates initially then stops
c. There is no deterioration in either copper rod or aluminium rod
D. Aluminium rod continues to deteriorate while copper rod deteriorates initially and then stops
Subject: Chemistry
A molecule \( \boldsymbol{H}-\boldsymbol{X} \) will be \( 50 \% \) ionic if
electronegativity difference of \( \boldsymbol{H} \) and \( \boldsymbol{X} \)
is:
A . 1.2 ev
B. \( 1.4 \mathrm{eV} \)
c. \( 1.5 \mathrm{ev} \)
D. 1.7 ev
Subject: Chemistry
How much amount of \( C u S O_{4} \cdot 5 H_{2} O \) is
required for liberation of \( 2.54 g \) of \( I_{2} \) when titrated with \( K \) I?
A . \( 2.5 g \)
в. \( 4.99 g \)
\( c .2 .4 g \)
D. \( 1.2 g \)
Subject: Chemistry
At \( 90^{\circ} C \), pure water has \( \left[H_{3} O^{+}\right]= \)
\( 10^{-6} \mathrm{m} \) on the value of \( k_{w} \) at this
temperature is :
A \( \cdot 10^{-6} \)
- \( ^{-6}-10 \)
B. \( 10^{-12} \)
\( \mathbf{c} \cdot 10^{-13} \)
D. \( 10^{-14} \)
Subject: Physics
Q Type your question-
along \( x \) -axis. The equilibrium of a positive test charge placed at the point 0 midway
between them is stable for
displacements along the \( x \) -axis.
Reason: Force on test charge is zero.
A. If both Assertion arid Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion,
C. If Assertion is correct but Reason is incorrect.
D. If Assertion is incorrect but Reason is correct
Subject: Physics
White light is split into a spectrum by a prism and it is seen on a screen. If we
put another identical inverted prism behind it in contact. What will be seen
on the screen?
A. Violet will appear where red was
B. The spectrum will remain the same
c. There will be no spectrum, but only the original light with no deviation.
D. There will be no spectrum, but the original light will be laterally displaced
Subject: Chemistry
Arrange the following esters in increasing order of their ease of hydrolysis with suitable explanation.
(a) Phenyl acetate
(b) p-nitrophenyl acetate
(c) p-methoxyphenyl
(d) Tolyl acetate
A \( . c<d<a<b \)
B. \( b<a<d<c \)
c. \( c<d<b<a \)
D. None f these
Subject: Maths
Suppose Mr. Ramesh have rupee 2,3
and 5 notes. In howmany ways he can
get a sum of rupees 83 such that atleast one note of each type is present and the number of 2 rupee note(s) is less than number of 3 rupee note(s) which is again less than the number of
5 rupees note \( (s) \)
A . 8
B. 9
c. 10
D. 12
Subject: Maths
The \( 9^{t h} \) term of an A.P. is 449 and \( 449^{t h} \)
term is 9 The term which is equal to
zero is
A \( \cdot 501^{t h} \)
B . \( 502^{\text {th }} \)
\( \mathbf{c} \cdot 508^{t h} \)
D. None of these
Subject: Chemistry
In the chemical reaction \( N_{2}+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3} \) at equilibruim:
A. equal volumes of \( N_{2} \& H_{2} \) are reacting
B. equal masses of \( N_{2} \& H_{2} \) are reacting
c. the reaction has stopped
D. the same amount of ammonia is formed as is decomposed into \( N_{2} \) and \( H_{2} \)
Subject: Maths
If the \( p^{t h}, q^{t h}, r^{r h} \) terms of a G.P. be \( a, b, c \)
respectively, then
\( \mathbf{A} \cdot a^{q-r} b^{r-p} c^{p-q}=1 \)
B . \( a^{q-r} b^{r-p} c^{p-q}=-1 \)
\( \mathbf{c} \cdot a^{q-r} b^{r-p} c^{p-q}=0 \)
D. none of these
Subject: Biology
a Q Type your question 3
\( A \)
C- \( 4, B-1, A-2 \) \( \mathrm{H}-7, \mathrm{G}-8, \mathrm{F}-6, \mathrm{E}-5, \mathrm{D}-3 \)
B. \( \mathrm{H}-6, \mathrm{G}-8, \mathrm{F}-7, \mathrm{E}-5, \mathrm{D}-3, \mathrm{C}-4, \mathrm{B}-1, \mathrm{A}-2 \)
\( c \)
\( \mathrm{H}-6 \) , \( \mathrm{G}-8, \mathrm{F}-7, \mathrm{E}-4, \mathrm{D}-3, \mathrm{C}-2, \mathrm{B}-1, \mathrm{A}-5 \)
D. \( \mathrm{G}-8, \mathrm{F}-7, \mathrm{E}-4, \mathrm{D}-2, \mathrm{C}-2, \mathrm{B}-1, \mathrm{A}-5 \) \( \mathrm{H}-6 \)
Subject: Chemistry
Which of the following is least reactive in a nucleophilic substitution reaction?
A. \( C H_{2}=C H C l \)
в. \( C H_{3} C H_{2} C l \)
c. \( C H_{2}=C H C H_{2} C l \)
D. \( \left(C H_{3}\right)_{3} C-C l \)
Subject: Chemistry
The vapour pressure of three liquids
\( P, Q \) and \( R, \) of nearly equal molecular
masses is shown as a function of
temperature
The correct statement is:
A. The normal boiling points follow the order \( P>Q>R \)
B. The variation of pressure with respect to temperature for each liquid is given by \( \frac{d P}{d T}=\frac{K}{T^{2}}, \) where \( K \) is a
constant
c. The strength of intermolecular interactions follows the order \( P>Q>R \)
D. The normal boiling point of \( Q \) is close to \( 65^{\circ} \mathrm{C} \)
Subject: Chemistry
The solubility of \( A g_{2} S \) is:
\( \left[\boldsymbol{K}_{s p}=\mathbf{2 5 6} \times \mathbf{1 0}^{-\mathbf{6}}\right] \)
A \( \cdot 4 \times 10^{-2} \)
В. \( 4 \times 10^{-3} \)
c. \( 0.4 \times 10^{-2} \)
D. \( 0.4 \times 10^{-3} \)
Subject: Physics
A convex lens \( (\boldsymbol{f}=\mathbf{2 0} \boldsymbol{c m}) \) is placed at
\( 80 \mathrm{cm} \) from a concave mirror. An object
is placed at \( 30 \mathrm{cm} \) in front the lens such
that position of its final image is same
or without the mirror. The maximum
distance of object and mirror for virtual image to be formed if only mirror is
present is:
A \( .10 \mathrm{cm} \)
B. \( 20 \mathrm{cm} \)
\( c .30 \mathrm{cm} \)
D. \( 50 \mathrm{cm} \)
Subject: Chemistry
A partition divides a container having insulated walls into two compartments and II. The same gas is filled in the two
compartments whose initial parameters are given in figure. The partition is a conducting wall which can move freely without friction. Which of
the following statements is/are correct with reference to teh final equilibrium position?
\begin{tabular}{|c|c|}
\hline\( P, V, T \) & \( 2 P, 2 V, T \) \\
\( I \) & \( I I \) \\
\hline
\end{tabular}
This question has multiple correct options
A. The pressure in the two compartments are equal
B. Volume of the compartment I is \( \frac{3 V}{5} \)
C. volume of the compartment II is \( \frac{12 V}{5} \)
D. Final pressure I in compartment I is \( \frac{5 P}{3} \)
Subject: Maths
Shweta is competing in a group stairclimbing relay challenge with two of her friends. They will take turns climbing the stairs of two of the tallest buildings
of the city. The three of them each plan to climb an equal number of stairs, and
Shweta will go first. The first building
has \( s \) stairs, and the second building
has 3639 stairs. During the race, Shweta faces anaemia and is only able
to complete \( 75 \% \) of her goal. What is the total number of stairs that she climbs?
A \( \cdot 0.75\left(\frac{1}{3} s+1213\right) \)
В. \( 0.75\left(\frac{1}{3} s+3639\right) \)
c. \( 75\left(\frac{1}{3} s+1213\right) \)
D \( \cdot 75\left(\frac{1}{3} s+3639\right) \)
Subject: Chemistry
Many factors are responsible for the reactivity and chemical behavior of an
atom. Which one is the most important
factor?
A. The number of protons in the atom's nucleus
B. The number of neutrons in the atom's nucleus
c. The number of protons and neutrons in the atom's nucleus
D. The ratio of protons to neutrons in the atom's nucleus
E. The number of electrons in the atom's valence shell
Subject: Chemistry
Which of the following oxo-acids of sulphur has more than one oxidation state of sulphur?
A \( \cdot H_{2} S_{2} O_{3} \)
в. \( H_{2} S_{2} O_{4} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}_{2} \mathrm{O}_{6} \)
D. \( H_{2} S_{2} O_{8} \)
Subject: Maths
The set of points \( (x, y) \) whose distance from the line \( y=2 x+2 \) is the same as
the distance from (2,0) is a parabola. This parabola is congruent to the
parabola in standard form \( y=K x^{2} \) for
some \( K \) which is equal to
A \( \frac{\sqrt{5}}{12} \)
в. \( \frac{\sqrt{5}}{4} \)
c. \( \frac{4}{\sqrt{5}} \)
D. \( \frac{12}{\sqrt{5}} \)