AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Consider air to be a diatomic gas with
average mole moasses \( 29 \mathrm{g} / \mathrm{mole} . \) A mass \( 1.45 \mathrm{kg} \) of air is contained in a
cylinder with a piston at \( 27^{0} C \) and
pressure \( 1.5 \times 10^{5} N / m^{2} . \) Energy is
given to the system as heat and the system is allowed to expand till the fina
pressure \( 3.5 \times 10^{5} N / m^{2} . \) As the gas
expands, pressure and volume follow
the relation
\( \boldsymbol{V}=\boldsymbol{K} \boldsymbol{P}^{2} \) where \( \mathrm{K} \) is constant \( (\mathrm{R} \)
\( =8.3 \mathrm{J} /(\mathrm{mole}-\mathrm{K}) \)
Which solutionn.will give a white ppt.
when either dil. \( H C l \) or dil. \( H_{2} S O_{4} \) is
added to it?
Subject: Chemistry
A sample of HI \( \left(9.30 \times 10^{-3}\right) \) mol was
placed in an empty \( 2.00 L \) container at 1000 \( K \).After equilibrium was reached,
the concentration of \( I_{2} \) was \( 6.29 \times \)
\( \mathbf{1 0}^{-4} \quad \boldsymbol{M} . \) Calculate the value of \( \boldsymbol{K}_{C} \) at
\( 1000 K \) for the reaction
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{M} \boldsymbol{g} \boldsymbol{B r}+\boldsymbol{C O}_{2} \stackrel{\text {Dryether}}{\longrightarrow} \boldsymbol{Y} \frac{\boldsymbol{H}_{3} \boldsymbol{O}^{\oplus}}{\longrightarrow} \)
\( Z \)
What is product \( z \) in the given reaction?
A. Ethyl acetate
B. Acetic acid
c. Propanoic acid
D. Methyl acetate
Subject: Physics
Certain force acting on a \( 20 \mathrm{kg} \) mass
changes its velocity from \( 5 m s^{-1} \) to
\( 2 m s^{-1} . \) Calculate the work done by the
force
A. \( -210 J \)
B. \( 210 J \)
c. -105 J.
D. \( 420 J \)
Subject: Physics
A proton moves in the positive \( z- \)
direction after being accelerated from
rest through a potential difference \( V \)
The proton then passes through a region with a uniform electric field \( E \) in
the positive x-direction and a uniform
magnetic field \( B \) in the positive \( y- \) direction, but the proton's trajectory is not affected. If the experiment were
repeated using a potential difference of
\( 2 V, \) the proton would then be
A. deflected in positive \( x \) -direction
B. deflected in negative \( x \) -direction
c. deflected in positive \( y \) -direction
D. deflected in negative \( y \) -direction
Subject: Chemistry
If number of electrons in an atom is 8
and number of protons is also 8 , then give the atomic number of atom and the
charge on the atom.
A. (i) Atomic number \( =8, \) (ii) Charge \( =0 \)
B. (i) Atomic number \( =4, \) (ii) Charge \( =0 \)
c. (i) Atomic number \( =8, \) (ii) Charge \( =+1 \)
D. (i) Atomic number \( =4, \) (ii) Charge \( =+1 \)
Subject: Physics
When a man is standing, rain drops
appear to him falling at \( 60^{\circ} \) from the horizontal from his front side. When he
is travelling at \( 5 k m / h \) on a horizontal
road, they appear to him falling at \( 30^{\circ} \)
from the horizontal from his front side.
The actual speed of the rain in \( k m / h \) is.
A . 3
B. 4
\( c .5 \)
D. 6
Subject: Chemistry
The process of purification of metals is represented by the following scheme \( \$ \$ \) Ti \( 1,+|, 2|_{-} 2 \mid, \) loverset \( \left\{250^{\wedge}\{\text { lcirc }\} C\right\} \)
\{ᅵrightarrow \( \} \) ।. Til \( _{-} \) 4) , loverset \( \{1400 \text { \wedge }\{\text { lcirc }\} \)
3), Jbegin \{matrix Jill pure lend \( \{\text { matrix }\} \backslash_{,+} \backslash, 1_{-} 2 \$ \$ \)
A. cupellation
B. poling
c. electrolytic refiningg
D. van-Arkel method
Subject: Maths
The marks obtained by 60 students in a
test are given as follows:
\( \begin{array}{lllll}\text { Marks } & 5- & 15- & 25- & 35 \\ 15 & 25 & 35 & 45\end{array} \)
No. of its 8 12 studen
Calculate the mean and standard
deviation of the distribution. Also
interpret the results.
Subject: Chemistry
The weight of one molecule of \( C_{60} H_{122} \)
is:
A. \( 1.2 \times 10^{-20} g \)
B . \( 5.025 \times 10^{23} g \)
c. \( 1.4 \times 10^{-21} g \)
D. \( 6.023 \times 10^{23} g \)
Subject: Maths
If \( a \neq 6, b, c \) satisfy \( \left|\begin{array}{ccc}a & 2 b & 2 c \\ 3 & b & c \\ 4 & a & b\end{array}\right|=0 \)
then \( a b c= \)
\( \mathbf{A} \cdot a+b+c \)
B.
\( c \cdot b^{3} \)
\( \mathbf{D} \cdot a b+b-c \)
Subject: Maths
Derive partial fraction for \( \frac{5 x^{2}+1}{x^{3}-1}= \)
A \( \cdot \frac{3}{x-1}+\frac{2 x+1}{x^{2}+x+1} \)
в. \( \frac{4}{x-1}+\frac{5 x+1}{x^{2}+x+1} \)
c. \( \frac{2}{x-1}+\frac{3 x+1}{x^{2}+x+1} \)
D. \( \frac{1}{x-1}+\frac{4 x+1}{x^{2}+x+1} \)
Subject: Chemistry
\( 2 Z n S(s)+3 O_{2}(g) \stackrel{\text {heat}}{\rightarrow} 2 Z n O(s)+ \)
\( 2 S O_{2}(g) \) is an example of which type of
reaction?
A. Calcination
B. Roasting
c. Both A and B
D. None of the above
Subject: Physics
A charge \( Q \) is distributed over two concentric hollow spheres of radii \( r \) and
\( R(R>r) \) such that their surface
densities are equal. The charge on smaller and bigger shells are:
A. \( \frac{Q r^{2}}{r^{2}+R^{2}} \) and \( \frac{Q R^{2}}{r^{2}+R^{2}}, \) respectively
в. \( Q\left(1+\frac{r^{2}}{R^{2}}\right) \) and \( Q\left(1+\frac{R^{2}}{r^{2}}\right) \), respectivel
\( ^{\mathrm{c}} Q\left(1-\frac{r^{2}}{R^{2}}\right) \) and \( Q\left(1-\frac{R^{2}}{r^{2}}\right) \), respectivel
D. \( \frac{Q R^{2}}{r^{2}+R^{2}} \) and \( \frac{Q r^{2}}{r^{2}+R^{2}}, \) respectively
Subject: Physics
In the figure it is shown that the velocity
of lift is \( 2 \mathrm{ms}^{-1} \) while string ins winding
on the motor shaft with velocity \( 2 \mathrm{ms}^{-1} \)
and shaft \( A \) is moving downward with
velocity \( 2 \mathrm{ms}^{-1} \) with respect lift, then find
out the velocity of block \( \mathrm{B} \)
\( \mathbf{A} \cdot 2 \mathbf{m s}^{-1} \uparrow \)
B. \( 2 \mathrm{ms}^{-1} \downarrow \)
\( \mathbf{C} \cdot 4 \mathrm{ms}^{-1} \uparrow \)
D. None of these
Subject: Maths
\( \int|x+y| d x, \) where \( \frac{d y}{d x}=0 \) is given by
A . 0
в. \( \frac{(x+y)^{2}}{2}+c \)
c. \( -\frac{(x+y)^{2}}{2}+c \)
D. \( \frac{(x+y)|x+y|}{2}+c \)
Subject: Physics
A body projected vertically upwards with a velocity of \( 19.6 \mathrm{ms}^{-1} \) reaches a
height of \( 19.6 ~ m \) on earth. If it is
projected vertically up with the same velocity on moon, then the maximum
height reached by it is \( \left(g_{\text {earth}}=g m s^{-2}\right. \) \( \left.\boldsymbol{g}_{m o o n}=\frac{\boldsymbol{g}}{\boldsymbol{6}} \boldsymbol{m} \boldsymbol{s}^{-2}\right) \)
A . \( 19.18 \mathrm{m} \)
B. 3.3 \( m \)
c. \( 9.9 \mathrm{m} \)
D. 117.6 \( m \)
Subject: Physics
The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula \( \boldsymbol{E}=\boldsymbol{h v} \) (for
energy of a quantum of radiation photon) and obtain the photon energy in units of \( e V \) for different parts of the
electromagnetic spectrum. In what ways are the different scales of photon
energies that you obtain related to the sources of electromagnetic radiation.?
Subject: Physics
The length \( \ell, \) breadth b and thickness of a block of wood were measured with
the help of a measuring scale. The results with permissible errors are \( \ell= \) \( 15.12 \pm 0.01 \mathrm{cm}, \mathrm{t}=5.28 \pm 0.01 \mathrm{cm} . b= \)
\( 10.15 \pm 0.01 \mathrm{cm} . \) The percentage error in volume upto proper significant figures is :
A . 0.28\%
B . 0.36\%
c. \( 0.48 \% \)
D . 0.64\%
Subject: Physics
Copper contains \( 8.4 \times 10^{28} \) free
electrons/ \( m^{3} \). A copper wire of crosssectional area \( 7.4 \times 10^{-7} m^{2} \) carries a
current of 1 A. The electron drifts speed
is approximately:
\( \mathbf{A} \cdot 10^{-8} m / s \)
B. \( 10^{-3} \mathrm{m} / \mathrm{s} \)
c. \( 1 m / s \)
D. \( 10^{-4} \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
A monoprotic acid in \( 1.00 M \) solution is
\( 0.001 \% \) ionised. The dissociation
constant of acid is:
A. \( 1 \times 10^{-3} \)
В. \( 1 \times 10^{-6} \)
c. \( 1 \times 10^{-8} \)
D. \( 1 \times 10^{-10} \)
Subject: Maths
Given are three positive integers \( a, b \)
and \( c . \) Their greatest common divisor is
\( D ; \) their least common multiple is \( M \) Then, which two of the following statements are true?
(1) The product \( M D \) cannot be less
than abc
(2) The product \( M D \) cannot be greater
than abc
(3) \( M D \) equals \( a b c \) if and only if \( a, b, c \) are each prime
(4) \( M D \) equals \( a b c \) if and only if \( a, b, c \) are relatively prime in pairs (This means: no two have a common
factor greater than \( 1 . \)
\( \mathbf{A} \cdot 1,2 \)
в. 1,3
c. 1,4
D. 2,3
E .2,4
Subject: Chemistry
The compound \( B \) formed in the
following sequences of reactions is:
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O H} \stackrel{P C l_{3}}{\rightarrow} \boldsymbol{A}^{A l c . \boldsymbol{K O H}} \boldsymbol{B} \)
A. propyne
B. propene
c. propanol
D. propane
Subject: Physics
A planet was suddenly stooped in its orbit supposed to be circular. The time it will fall on to the sun is, if time period
of planet's revolution is \( T \)
A \( \cdot \frac{T}{2} \)
в. \( \frac{\sqrt{2} T}{4} \)
c. \( \frac{\sqrt{2} T}{8} \)
D. \( \sqrt{2} T \)
Subject: Chemistry
The reaction is of first order in each
diagram, with an equilibrium constant of \( 10^{4} . \) For the conversion of chair form
to boat form \( e^{-E a / R T}=4.35 \times 10^{-8} \mathrm{at} \)
\( 298 K \) with pre-exponential factor of
\( 10^{12} s^{-1} . \) Apparent rate constant \( \left(=k_{A}\right) \)
at \( 298 K \) is:
A. \( 4.35 \times 10^{4} s^{-1} \)
в. \( 4.35 \times 10^{8} s^{-1} \)
c. \( 4.35 \times 10^{-8} s^{-1} \)
D. \( 4.35 \times 10^{12} s^{-1} \)
Subject: Maths
A dishonest milkman professes to sell
his milk at cost price but he mixes it
with water and thereby gains \( 20 \% . \) The percentage of water in the mixture is
A . \( 4 \% \)
B . \( 16.66 \% \)
c. \( 20 \% \)
D. \( 25 \% \)
Subject: Chemistry
Among
\( (a) N a_{2} O \)
\( (b) M g O,(c) A l_{2} O_{3} \)
\( (d) P_{2} O_{5} \)
the most basic, most acidic and amphoteric oxide can be respectively:
\( A \cdot a, b, c \)
B. b, e, c
\( c \cdot a, e, c \)
\( D \cdot e, c, a \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \mid \begin{array}{ccc}\sin x+\sin 2 x+\sin 3 x & \sin 2 x & \sin 3 x \\ 3+4 \sin x & 3 & 4 \sin x \\ 1+\sin x & \sin x & 1\end{array} \)
then the value of \( \int_{0}^{\frac{\pi}{2}} f(x) d x, \) is
A . 3
B. \( \frac{2}{3} \)
\( c \cdot \frac{1}{3} \)
D.
Subject: Maths
ff \( A=\left[\begin{array}{ccc}1 & 3 & 1 \\ 2 & 1 & -1 \\ 3 & 0 & 1\end{array}\right], \) then \( \operatorname{rank}(A) \) is
equal to
\( \mathbf{A} \cdot \mathbf{4} \)
B.
\( c \cdot 2 \)
D. 3
Subject: Chemistry
The reaction \( \boldsymbol{C H}_{\mathbf{3}}-\boldsymbol{C H}_{\mathbf{2}}-\boldsymbol{N O}_{\mathbf{2}}+ \)
\( \boldsymbol{O H}^{-} \rightarrow \boldsymbol{C H}_{3}-\boldsymbol{C H}-\boldsymbol{N O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
obeys the rate law for pseudo first order
kinetics in the presence of a large
excess of hydroxide ion. If 1 percent of
nitro ethane undergoes reaction in half a minute when the reactant
concentration is \( 0.002 M, \) the pseudo
first order rate constant is :
A \( \cdot 2 \times 10^{-2} \min ^{-1} \)
B . \( 3 \times 10^{-2} \) min \( ^{-1} \)
c. \( 5 \times 10^{-2} \) min \( ^{-1} \)
D. \( 7 \times 10^{-2} \) min \( ^{-1} \)
Subject: Physics
A hemisphere of radius \( R \), made of
glass of refractive index \( (3 / 2) \) is placed on the table. A point source of light is placed at a distance \( 2 R \) from the centre of hemisphere. If source is viewed diametrically opposite side of hemisphere. Find the position of image of source.
\( A \cdot 5 R \)
в. 6 R
c. 7ह
D. 8R
Subject: Chemistry
What happens when \( H_{2} S \) gas is passed
into aqueous \( S O_{2} ? \)
A. \( H_{2} S \) is converted into a yellow precipitate of sulphur.
B. \( S O_{2} \) Is converted into yellow precipitate of sulphur.
C. A clear solution of \( H_{2} S O_{4} \) is formed
D. \( S O_{2} \) and \( H_{2} S \) are converted into yellow precipitate
Subject: Chemistry
Diethyl ether \( C_{4} H_{10} O \), used medically as
an anesthetic, is prepared from ethyl alcohol \( C_{2} H_{5} O H \) in presence of an acid. \( 2 C_{2} H_{5} O H \frac{a c i d}{140^{0}} C_{2} H_{5} O C_{2} H_{5}+H_{2} O \)
Calculate the \( \% \) yield if \( 46 g \) of ethyl alcohol gives \( 30 g \) of ether.
Subject: Chemistry
If the enthalpy of formation o \( f \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \)
and \( C l^{-}(a q) \) are \( -92 k J / \) mole and
\( -167.44 k J / m o l, \) find the enthalpy of solution of hydrogen chloride gas.
\( \mathbf{A} \cdot-75.14 k J / m o l \)
B. \( +75.14 k J / \) mol
c. \( -260.7 k J / \) mol
D. None of these
Subject: Maths
Calculate the values of the
determinants:
\( \left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{h} & \boldsymbol{g} \\ \boldsymbol{h} & \boldsymbol{b} & \boldsymbol{f} \\ \boldsymbol{g} & \boldsymbol{f} & \boldsymbol{c}\end{array}\right| \)
Subject: Maths
A line passes through a point (2,5) and has a slope of \( -3 . \) What is the equation of a line perpendicular to this line through (2,5)\( ? \)
A \( \cdot y=\frac{1}{3} x+\frac{13}{3} \)
B. \( y=-3 x+17 \)
c. \( y=-3 x+11 \)
D. \( _{y}=\frac{1}{3} x-\frac{2}{3} \)
Subject: Physics
The wavelength of the gamma ray is
\( \mathbf{A} \cdot 0.02 \stackrel{\circ}{A} \)
B \( \cdot 0.03 \stackrel{\circ}{A} \)
c. \( 0.04^{\circ} \)
D. \( 0.05 \stackrel{\circ}{A} \)
Subject: Maths
For any two events \( A \) and \( B \)
\( \mathbf{A} \cdot P(A)+P(B)>P(A \cap B) \)
B \( \cdot P(A)+P(B)<P(A \cap B) \)
\( \mathbf{c} \cdot P(A)+P(B) \geq P(A \cap B) \)
D \( . P(A) \times P(B) \leq P(A \cap B) \)
Subject: Physics
A stone tied at the end of string \( 80 \mathrm{cm} \) long is whirled in a horizontal circle
with a constant speed. If the stone makes 25 revolutions in 14 s, what is
the magnitude of acceleration of the
stone?
A \( .90 m s^{-2} \)
B. \( 100 \mathrm{ms}^{-2} \)
\( \mathbf{c} \cdot 110 m s^{-2} \)
D. \( 120 \mathrm{ms}^{-2} \)
Subject: Chemistry
How many of following are electrophile? \( \boldsymbol{C H}_{3}, \stackrel{\oplus}{\boldsymbol{N}} \boldsymbol{H}_{4}, \boldsymbol{H}_{3} \boldsymbol{O}^{\oplus}, \boldsymbol{C} \boldsymbol{O}_{2}, \boldsymbol{S} \boldsymbol{O}_{3}, \boldsymbol{C} \stackrel{\ominus}{\boldsymbol{H}}_{3} \)
Subject: Physics
A Cylindrical vessel of cross-sectional
area \( 1000 \mathrm{cm}^{2} \), is fitted with a
frictionless piston of mass \( 10 \mathrm{kg} \), and
filled with water completely. A small hole of cross-sectional area \( 10 m m^{2} \) is
opened at a point \( 50 \mathrm{cm} \) deep from the lower surface of the piston. The velocity of effluent from the hole will be
A. \( 10.5 \mathrm{m} / \mathrm{s} \)
B. 3.4 m/s
c. \( 0.8 \mathrm{m} / \mathrm{s} \)
D. \( 0.2 \mathrm{m} / \mathrm{s} \)
Subject: Maths
Below is given distribution of profit (in
Rs.) per day of a shop in a certain town. Calculate median profit of shops.
Profit 500 \( \quad 1000 \quad 1500 \quad 2000 \)
in
Rs.) \( \quad 1000 \quad \) 1500 \( \quad 2000 \)
\[
\begin{array}{l}
\text { No. of } \\
\text { shops }
\end{array}
\]
18
A. Rs. 1867
B. Rs. 196
c. Rs. 2167
D. Rs.2567
Subject: Physics
The angle made by the vector \( \overrightarrow{\boldsymbol{A}}=\mathbf{2} \hat{\mathbf{i}}+ \)
\( 3 \hat{j} \) with \( y \) -axis is:
A \( \cdot \tan ^{-1}\left(\frac{3}{2}\right) \)
B. \( \tan ^{-1}\left(\frac{2}{3}\right) \)
c. \( \sin ^{-1}\left(\frac{2}{3}\right) \)
D. \( \cos ^{-1}\left(\frac{3}{2}\right) \)
Subject: Maths
The area of the region bounded by the
curve \( \boldsymbol{x}=\boldsymbol{y}^{2}-\boldsymbol{2} \) and \( \boldsymbol{x}=\boldsymbol{y} \) is
A \( \cdot \frac{9}{4} \)
B. 9
c. \( \frac{9}{2} \)
D.
Subject: Chemistry
Among the following quantities:
(i) mass number
(ii) average mass of a Carbon atom in
amu
(iii) the charge of nucleus in amu and
(iv) mass of a Carbon -12 atom in grams
A. only (i) is whole number
B. only (i) and (iii) are whole number
c. only (i) and (iv) are whole numbers
D. only (iii) and (iv) are whole numbers
Subject: Biology
Assertion
Carbon dioxide produced as a result of cellular respiration combines with water to form carbonic acid that
decreases the blood pH.
Reason
\( \mathrm{CO}_{2} \) must be eliminated from the body
to maintain homeostasis.
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
\( \mathbf{2} N_{2} O_{5}(g) \rightarrow 4 N O_{2}(g)+O_{2}(g) \)
What is the ratio of the rate of
decomposition of \( N_{2} O_{5} \) to rate of
formation of \( N O_{2} ? \)
\( A \cdot 1: 2 \)
B. 2:
\( c \cdot 1: 4 \)
\( D \cdot 4: \)
Subject: Chemistry
Some of the following properties are important in determining whether an element has metallic properties
I atomic number
II : atomic weight
III : number of valence electrons
IV : number of vacant atomic orbitals
V: total number of electronic shells in
the atom
Select correct properties from the codes given below
A. ।, I, I, III, IV
B. ।, ॥I, IV, v
c. ॥॥, IV
D. \( \| \) II \( , \) IV, \( v \)
Subject: Maths
The value of determinant \( \left|\begin{array}{ccc}\mathbf{1 9} & \mathbf{6} & \mathbf{7} \\ \mathbf{2 1} & \mathbf{3} & \mathbf{1 5} \\ \mathbf{2 8} & \mathbf{1 1} & \mathbf{6}\end{array}\right| \)
is :
A. 150
B. -110
\( c \cdot 0 \)
D. None of these
Subject: Maths
State True or False:
On subtracting \( -3 x^{3}+4 x^{2}-5 x+6 \)
from \( 3 x^{3}-4 x^{2}+5 x-6, \) the answer is
\( 6 x^{3}-8 x^{2}+10 x-12 \)
A. True
B. False
Subject: Physics
Water is falling from 160m height. Assuming that half the K.E. of falling water gets converted into heat, the rise
in temperature of water is approximately
\( \mathbf{A} \cdot 0.1^{0} C \)
B. \( 0.2^{0} C \)
\( \mathbf{c} \cdot 0.3^{0} C \)
D. \( 0.4^{\circ} \mathrm{C} \)
Subject: Maths
Find the \( 7^{t h} \) term of \( \left(3 x^{2}-\frac{1}{3}\right)^{10} \)
A \( \cdot \frac{66}{3} x^{7} \)
в. \( \frac{70}{3} x^{7} \)
c. \( \frac{66}{3} x^{8} \)
D. \( \frac{70}{3} x^{8} \)
Subject: Chemistry
At \( 80^{\circ} \mathrm{C}, \) the vapour pressure of pure
liquid \( \mathbf{A}^{\prime} \) is \( \mathbf{5} \mathbf{2 0} \mathbf{m m} \mathbf{H} \boldsymbol{g} \) and that of
pure liquid B' is 1000 mm \( H g \). If a
mixture solution of \( \mathbf{A}^{\prime} \) and \( \mathbf{B}^{\prime} \) boils at
\( 80^{\circ} \mathrm{C} \) and 1 atm pressure, the amount of A' in the mixture is:
\( [1 a t m=760 m m H g] \)
A. 48 mol\%
B . 50 mol\%
c. 52 mol\%
D. 34 mol\%
Subject: Chemistry
The reaction for hydrated copper [II] sulphate is:
\( \boldsymbol{C u} \boldsymbol{S O}_{4} \cdot \boldsymbol{x} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{b} \boldsymbol{l} \boldsymbol{u} e \boldsymbol{h y} \boldsymbol{d} \boldsymbol{r} \boldsymbol{o u s}) \frac{\boldsymbol{H}_{2} \boldsymbol{S O}_{4}}{\longrightarrow} \)
\( \boldsymbol{y} \boldsymbol{C u} \boldsymbol{S O}_{4}(\boldsymbol{w} \boldsymbol{h i t e} \text { anhyd.})+\mathbf{5} \boldsymbol{H}_{2} \boldsymbol{O} \)
Find \( x \) and \( y \)
A. \( x=5, y=1 \)
В. \( x=5, y=2 \)
c. \( x=2, y=1 \)
D. \( x=2, y=2 \)
Subject: Physics
A body is projected up with velocity \( u \). It
reaches the same point in its path at \( t_{1} \)
and \( t_{2} \) from the time of projection. Then
\( \boldsymbol{t}_{1}+\boldsymbol{t}_{2} \) is:
A \( \cdot \frac{2 u}{g} \)
в. \( \frac{u}{g} \)
c. \( \sqrt{\frac{2 u}{g}} \)
D. \( \sqrt{\frac{u}{g}} \)
Subject: Physics
A sound signal is simultaneously sent in air and water from a boat on a river.
The echo of sound striked by river bed is heard in \( 4 s, \) while echo striked by aeroplane is heard in \( 8 s \). Find the distance between aeroplane and river
bed.
[velocity of sound in air \( =350 m / s \)
velocity of sound in water \( =1500 m / s] \)
A. \( 4.4 k m \)
B. \( 6.4 k m \)
c. \( 8.8 k m \)
D. \( 13.4 k m \)
Subject: Physics
A wave is represented by the equation \( \boldsymbol{y}=\boldsymbol{A} \sin \left(\mathbf{1 0} \boldsymbol{\pi} \boldsymbol{x}+\mathbf{1 5} \boldsymbol{\pi} \boldsymbol{t}+\frac{\boldsymbol{\pi}}{\mathbf{3}}\right), \) where \( \boldsymbol{x} \)
is in meters and \( t \) is in seconds. The
expression represents This question has multiple correct options
A. a wave travelling in the positive x-direction with a velocity \( 1.5 \mathrm{m} / \mathrm{s} \)
B. a wave travelling in the negative x-direction with a velocity \( 1.5 \mathrm{m} / \mathrm{s} \)
c. a wave travelling in the negative x-direction with a wavelength \( 0.2 m \)
D. a wave travelling in the positive x-direction with a wavelength \( 0.2 m \)
Subject: Chemistry
If relative decrease in \( \mathrm{V} . \mathrm{P} \) is 0.4 for \( \mathrm{a} \)
solution containing 1 mol \( N a C l \) in 3
mol of \( \mathrm{H}_{2} \mathrm{O} \). Calculate \( \% \) ionization of
NaCl.
A . 100
B. 95
c. 90
D. 85
Subject: Maths
The following table draws the income of finance of a grape season find the mean of their income.
ıncome \( \begin{array}{lll}\mathbf{2 0}- & \mathbf{3 0}- & \mathbf{4 0}- \\ \mathbf{3 0} & \mathbf{4 0} & \mathbf{5 0}\end{array} \) \( - \) (thousand
Rs)
Farmer 10
Subject: Maths
in the given figure if DEllAC and DCIIAP
then which of the
following is ture
A \( \cdot \operatorname{BE}(\mathrm{AD}+\mathrm{CP})=\mathrm{BE}^{2} \)
B. \( \mathrm{BE} \times \mathrm{CP}=\mathrm{EC} \times \mathrm{BC} \)
c. \( \mathrm{BC} \times \mathrm{CP}=\mathrm{EC} \times \mathrm{BC} \)
D. \( B D \times D E \times=B E^{2} \)
Subject: Chemistry
The IUPAC name for
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}(\boldsymbol{O H}) \boldsymbol{C H}=\boldsymbol{C H}_{2} \)
A. 2-methyl butyl alcohol
B. 2-methyl butanol - 1
c. Pent-1-ene-3-ol
D. 2- methyl butanol and - 2- ol
Subject: Physics
A person standing between a pair of tall and wide cliffs claps his hands. He hears the first two echoes at 2 sec and 3
sec respectively. If the speed of sound is \( 330 \mathrm{m} / \mathrm{sec}, \) then
A. Separation between the cliffs is \( 825 \mathrm{m} \)
B. The time of third echo is 5 second
C. every third echo is the loudest
D. after the second echo,none is formed
Subject: Chemistry
How many atoms are present in the given reaction?
\( \boldsymbol{P b}\left(\boldsymbol{N O}_{3}\right)_{2}+2 \boldsymbol{K} \boldsymbol{I} \rightarrow \boldsymbol{P b I}_{2}+2 \boldsymbol{K} \boldsymbol{N O}_{3} \)
A . 5
B. 12
c. 13
D. 18
E . 26
Subject: Chemistry
Oxidation state of +1 for phosphorous is found in :
A. \( H_{3} P O_{3} \)
в. \( H_{3} P O_{4} \)
\( \mathrm{c} \cdot \mathrm{H}_{3} \mathrm{PO}_{2} \)
D. \( H_{2} P_{2} O_{7} \)
Subject: Maths
\( \frac{1}{a^{2}-x^{2}}= \)
A \( \cdot \frac{1}{a(a-x)}+\frac{1}{2 a(a+x)} \)
s. \( \frac{1}{3 a(a-x)}+\frac{1}{2 a(a+x)} \)
c. \( \frac{1}{2 a(a-x)}+\frac{1}{2 a(a+x)} \)
D. \( \frac{1}{2 a(a-x)}+\frac{1}{a(a+x)} \)
Subject: Chemistry
Assertion
To a solution of potassium chromate, if
a strong acid is added, it changes its color from yellow to orange.
Reason
The color change is due to the change in
oxidation state of potassium chromate.
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 are correct.
Subject: Chemistry
Assertion
In chemisorption, adsorption first increases with temperature and then decreases.
Reason
Heat keeps on providing more and more
activation energy.
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