AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If \( P \) represents radiation pressure,
represents speed of light and \( \mathrm{Q} \) represents radiation energy striking a
unit area per second, then non-zero
integers \( x, y \) and \( z, \) such that \( P^{x} Q^{y} c^{z} \) is dimensionless, may be
A. \( x=1, y=1, z=1 \)
B. \( x=1, y=-1, z=1 \)
c. \( x=-1, y=1, z=1 \)
D. \( x=0, y=0, z=0 \)
Subject: Chemistry
Which of the following is a suitable example for illustrating the law of conservation of mass?
(Atomic mass of \( \boldsymbol{O}=\mathbf{1 6}, \boldsymbol{H}=\mathbf{1} \)
g/mole)
A. 18 g of water is formed by the combination of \( 16 \mathrm{g} \) oxygen with 2 g of hydrogen
B. 18 g of water in liquid state is obtained by heating 18 g of ice
c. 18 g of water is completely converted into vapour state on heating
D. \( 18 \mathrm{g} \) of water freezes at \( 4^{\circ} \mathrm{C} \) to give same mass of ice
Subject: Maths
A line \( y=x \) is rotated through \( 60^{\circ} \)
Find the new angle made by line with \( x \)
axis.
A . \( 105^{\circ} \)
B. \( 135^{\circ} \)
\( \mathbf{c} \cdot 155^{\circ} \)
D. \( 120^{\circ} \)
Subject: Physics
Two thin lenses of focal lengths \( 20 \mathrm{cm} \)
and \( 25 c m \) are placed in contact. The effective power of the combination is
A \( \cdot(1 / 9) D \)
в. \( (1 / 45) D \)
\( c .45 D \)
D. \( 9 D \)
Subject: Physics
A uniform disc of mass M and radius R
is mounted on an axle supported in friction less bearings. A light cord is wrapped around the rim of the disc and a steady downward pull T is exerted on the cord. The angular acceleration of the disc is:
\( ^{A} \cdot \frac{M R}{2 T} \)
в. \( \frac{2 T}{M R} \)
c. \( \frac{T}{M R} \)
D. \( \frac{M R}{T} \)
Subject: Chemistry
If \( m \) is the mass of silver deposited at
the cathode by \( 2 A \) current flowing for
\( 25 m i n \) through a silver voltameter, then
the mass deposited by \( 1.5 A \) current flowing for \( 600 s \) is
A .
в. \( 3 m \)
\( \mathrm{c} .0 .3 \mathrm{m} \)
D. None
Subject: Chemistry
Heating a mixture of \( C u_{2} O \) and \( C u_{2} S \)
will give.
A. \( C u O+C u S \)
в. \( C u+S O_{3} \)
c. \( C u+S O_{2} \)
D. \( C u(O H)_{2}+C u S O_{4} \)
Subject: Chemistry
The hypothetical complex chloro
diaquatriamminecobalt(III) chloride can be represented as:
A \( \cdot\left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{2}\right] C l_{2} \)
в. \( \left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right) C l_{3}\right] \)
c. \( \left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{2} C l\right. \)
D \( \cdot\left[\operatorname{CoCl}\left(N H_{3}\right)_{3}\left(H_{2} O\right)_{3} C l_{3}\right] \)
Subject: Maths
Sum of 20 terms of \( 3+6+12+\ldots \) is
A \( \cdot 3\left(2^{20}-1\right) / 2 \)
B . \( 3\left(2^{19}-1\right) / 2 \)
c. \( 3\left(2^{20}-1\right) \)
D. \( 3\left(2^{19}-1\right) \)
Subject: Chemistry
Assertion
\( S O_{2} \) and \( S O_{3} \) obey 'law of multiple
proportions'.
Reason
Every sample of \( S O_{2} \) contains 1 part
sulphur and 1 part oxygen by mass. Read the above assertion and reason and choose the correct option regarding
it.
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: Maths
If \( O(0,0), A(4,13) \) and \( B(8,9) \) are vertices of a \( \Delta O A B \) and a line \( y=k x \)
bisects the area of the triangle. If the intercept of \( y=k x \) between the
triangle is taken as a diameter of the circle, then the centre of this circle is:
\( ^{\mathrm{A}} \cdot\left(5, \frac{11}{2}\right) \)
в. \( \left(4, \frac{22}{3}\right) \)
\( ^{c} \cdot\left(3, \frac{11}{2}\right) \)
D. \( \left(3, \frac{22}{3}\right) \)
Subject: Chemistry
Assertion
Azeotropic mixtures are formed only by non-ideal solutions and they may have boiling points either greater than both the components or lesser than both the
components.
Reason
The composition of the vapour phase is same as that of the liquid phase of an azeotropic mixture.
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: Maths
From thee top of a building \( 60 \mathrm{m} \) high the angle of depression of the top and the bottom of a tower are observed to be
\( 30^{\circ} \) and \( 60^{\circ} . \) Find the height of the
tower
A. \( 60 \mathrm{m} \)
B. \( 40 \mathrm{m} \)
c. \( 80 \mathrm{m} \)
D. \( 70 \mathrm{m} \)
Subject: Chemistry
Henderson-Hasselbalch equation among the following is :
A \( \cdot p H=\frac{1}{2} p K_{a}-\log C \)
B \cdot \( p O H=\frac{1}{2} p K_{b}-\log C \)
c. \( _{p H}=p K_{a}+\frac{[\text {salt}]}{[\text {acid}]} \)
D. \( _{K_{h}}=\frac{K_{w}}{K_{a} \times K_{b}} \)
Subject: Chemistry
\( \boldsymbol{N} \boldsymbol{H}_{3}+\boldsymbol{O}_{2} \stackrel{P t}{\rightarrow} \boldsymbol{A}+\boldsymbol{H}_{2} \boldsymbol{O} \)
Identify the compound \( A \)
A . \( N O \)
в. \( N O_{2} \)
\( c \cdot N O_{3} \)
D. \( H N O_{3} \)
Subject: Maths
The distance of the point (1,3) from the
line \( 2 x+3 y=6, \) measured parallel to
the line \( 4 x+y=4, \) is
A \( \cdot \frac{5}{\sqrt{13}} \) units
B. \( \frac{3}{\sqrt{17}} \) units
c. \( \sqrt{17} \) units
D. \( \frac{\sqrt{17}}{2} \) units
Subject: Maths
\( \operatorname{Let} A=\{1,2,3,4\} \) and \( B=\{x, y, z\} \)
Consider the subset \( \boldsymbol{R}= \)
\( \{(1, x),(1, y),(2, z),(3, x)\} \) of \( A \times B . \) Is
R, a relation from A to B? If yes, find domain and range of R. Draw arrow
diagram of \( R \) and represent \( R \) in a tabular form.
Subject: Chemistry
Consider the following statements and arrange in the order of true/false as
given in the codes.
\( \mathrm{S}_{1}: \mathrm{Mn}^{2+} \) compounds more stable than
\( \mathrm{Fe}^{2+} \) towards oxidation to their +3
states.
\( \mathrm{S}_{2}: \) Titanium and copper both in the first series of transition metals exhibits
+1 oxidation state most frequently.
\( \mathbf{S}_{3}: \mathbf{C u}^{+} \) ion is stable in aqueous
Solution
A. TTF
B. T F F
\( \mathbf{c} . \) T \( F T \)
D. F FT
Subject: Chemistry
Assertion:
\( 3 d_{z^{2}} \) orbital is spherically symmetrical.
Reason:
\( 3 d_{z^{2}} \) orbital is the only d-orbital which is spherical in shape.
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
E. Both Assertion and Reason are incorrect
Subject: Maths
The trigonometric equation \( \sin ^{-1} x= \) \( 2 \sin ^{-1} 2 a \) has a real solution if
A \( \cdot|a|>\frac{1}{\sqrt{2}} \)
в. \( \frac{1}{2 \sqrt{2}}<|a|<\frac{1}{\sqrt{2}} \)
c. \( |a|>\frac{1}{2 \sqrt{2}} \)
D \( \cdot|a| \leq \frac{1}{2 \sqrt{2}} \)
Subject: Chemistry
When burned, sulfur forms a gaseous
product \( X \) which can be oxidised to produce a gas \( Y . \) Gas Y reacts with water to produce a product Z. Which row correctly shows the oxidation states of sulfur in \( X, Y \) and \( Z ? \)
\begin{tabular}{ccccc} 
& \( \mathbf{x} \) & \( \mathbf{Y} \) & \( \mathbf{z} \) \\
\( \mathbf{A} \) & -2 & +4 & +4 \\
& & & \\
\( \mathrm{B} \) & -2 & +4 & +6 \\
\( \mathrm{C} \) & +4 & +6 & +4 \\
& & & \\
\( \mathrm{D} \) & +4 & +6 & +6 \\
\hline
\end{tabular}
\( A \cdot A \)
B. B
\( c \cdot c \)
D.
Subject: Physics
In a sinusoidal wave the time required
for a particular point to move from
maximum displacement is 0.17 sec then the frequency of wave is
A. \( 1.47 H z \)
в. \( 0.36 \mathrm{Hz} \)
\( \mathrm{c} .2 .94 \mathrm{Hz} \)
D. \( 2.48 H z \)
Subject: Chemistry
The ionisation enthalpy of \( H e^{+} \) ion is
\( 19.60 \times 10^{-18} J \) atom \( ^{-1} . \) The ionisation
enthalpy of \( L i^{2+} \) ion will be:
A. \( 84.2 \times 10^{-18} \) Jatom\( ^{-1} \)
B. \( 44.10 \times 10^{-18} \) Jatom \( ^{-1} \)
c. \( 63.20 \times 10^{-18} \) Jatom \( ^{-1} \)
D. \( 21.20 \times 10^{-18} \) Jatom \( ^{-1} \)
E \( .2 .17 \times 10^{-19} \mathrm{Jatom}^{-1} \)
Subject: Chemistry
In the polar aprotic solvent, the increasing order of nucleophilicity is:
\( \boldsymbol{C F}_{3} \boldsymbol{C H}_{2} \boldsymbol{O}^{-}, \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O}^{-}, \boldsymbol{C F}_{3} \boldsymbol{C H}_{2} \)
A \( \cdot C F_{3} C H_{2} O^{-}=C H_{3} C H_{2} O^{-}<C F_{3} C H_{2} S^{-}< \)
\( C H_{3} C H_{2} S^{-} \)
B. \( C F_{3} C H_{2} O^{-}<C H_{3} C H_{2} O^{-}<C F_{3} C H_{2} S^{-}< \)
\( C H_{3} C H_{2} S^{-} \)
c. \( C F_{3} C H_{2} O^{-}<C H_{3} C H_{2} O^{-}>C F_{3} C H_{2} S^{-}< \)
\( C H_{3} C H_{2} S^{-} \)
D. \( C F_{3} C H_{2} O^{-}>C H_{3} C H_{2} O^{-}>C F_{3} C H_{2} S^{-}> \)
\( C H_{3} C H_{2} S^{-} \)
Subject: Physics
Magnetic field strength at the centre of
regular pentagon made of a conducting wire of uniform cross section area as
shown in figure is : (i amount of current
enters at A and leaves at E)
\( \mathbf{A} \cdot \frac{5 \mu_{0} i}{4 \pi a}\left[2 \sin \frac{72^{0}}{2}\right] \)
\( B . \quad 0 \)
C \( \cdot \frac{3 \mu_{0} i}{4 \pi}\left[2 \sin \frac{72^{0}}{2}\right] \)
D. \( \frac{\mu_{0} i}{4 \pi a}\left[2 \sin \frac{72^{0}}{2}\right] \)
Subject: Maths
If \( f(x) \) is differentiable function in the interval \( (0, \infty) \) such that \( f(1)=1 \) and \( \lim _{t \rightarrow x} \frac{t^{2} f(x)-x^{2} f(t)}{t-x}=1 \) for
\( \operatorname{each} x>0 \) then
Subject: Chemistry
Assertion: In a galvanic cell, the half-cel with higher reduction potential provides a reducing agent Reason: Easily reducible substances are good oxidants.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
The IUPAC name of \( \boldsymbol{C}_{6} \boldsymbol{H}_{5}-\boldsymbol{C} \boldsymbol{H}= \)
\( \boldsymbol{C H}-\boldsymbol{C O O H} \) is:
A. cinnamic acid
B. 1-phenyl-2-carboxyethane
c. 3-phenyl prop-2-enoic acid
D. dihydroxy-3-phenyl propionic acid
Subject: Physics
The dimensions of ratio of magnetic
flux \( (\phi) \) and permeability \( (u) \) are:
\( \mathbf{A} \cdot\left[M^{0} L^{1} A^{1} T^{0}\right. \)
B . \( \left[M^{0} L^{-3} T^{0} A^{1}\right] \)
\( \mathbf{c} \cdot\left[M^{0} L^{-1} T^{1} A^{-1}\right] \)
D・ \( \left[M^{0} L^{2} T^{0} A^{1}\right] \)
Subject: Physics
The force \( F \) is given in terms of time \( t \) and
displacement \( x \) by the equation \( F=A \) \( \cos B x+C \sin D t . \) The dimensional
formula of D/B is
\( \mathbf{A} \cdot\left[M^{o} L^{o} T^{o}\right] \)
в. \( \left[M^{\circ} L^{\circ} T^{-1}\right] \)
\( \mathbf{c} \cdot\left[M^{o} L^{-1} T^{o}\right] \)
D・ \( \left[M^{\circ} L^{1} T^{-1}\right] \)
Subject: Maths
In the figure 7.31 , radius of the circle is
\( \mathbf{7} \boldsymbol{c m} \) and \( \boldsymbol{m}(\boldsymbol{a} \boldsymbol{r} \boldsymbol{c} \boldsymbol{M} \boldsymbol{B} \boldsymbol{N})=\boldsymbol{6} \boldsymbol{0}^{o} \)
find Area of the circle.
A . 45
B . 42.96
c. 43.96
D. 44
Subject: Maths
Let \( \boldsymbol{A}=\boldsymbol{R}_{0} \times \boldsymbol{R}, \) where \( \boldsymbol{R}_{0} \) denote the
set of all non-zero real numbers. A
binary operation ' \( O^{\prime} \) is defined on \( A \) as follows: \( (a, b) O(c, d)=(a c, b c+d) \) for
all \( (a, b)(c, d) \in R_{0} \times R \)
Find the identity element in \( \boldsymbol{A} \)
Subject: Physics
A coil of inductance \( 5 \mathrm{H} \) is joined to a
cell of emf \( 6 \mathrm{V} \) through a resistance \( 10 \Omega \) at time \( t=0 . \) The EMF across the coil at
time \( t=\ln \sqrt{2} s \) is:
\( A \cdot 3 v \)
B. 1.5
c. \( 0.75 v \)
D. 4.5
Subject: Chemistry
The number of moles of \( C O_{2} \) that can be
dissolved in a liter of water increases
when the
(1) pressure of the \( C O_{2} \) is increased
(2) temperature of the water is increased
(3) liquid is stirred
A. If 1,2 and 3 are correct
B. If only 1 and 2 are correct
c. If only 2 and 3 are correct
D. If only 1 is correct
E. If only 3 is correct
Subject: Chemistry
Metals are usually not found as nitrates
in their ores. Out of the following two \( (a \) and \( b \) ) reasons which is /are true for the
above observation?
(a) Metal nitrates are highly unstable
(b) Metal nitrates are highly soluble in
water
\( \mathbf{A} \cdot a \) is false but \( b \) is true
B. \( a \) is true but \( b \) is false
c. \( a \) and \( b \) are true
D. \( a \) and \( b \) are false
Subject: Chemistry
Liquid \( N H_{3} \) ionises to a slight extent
At a certain temperature, its ionization
constant \( \boldsymbol{K}_{\boldsymbol{S I C}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)}=\mathbf{1 0}^{-\mathbf{3 0}} . \) The
number of \( N H_{4}^{+} \) ions present per \( 100 \mathrm{cm}^{3} \) of pure liquid is:
\( \mathbf{A} \cdot 10^{-15} \)
B . \( 6.022 \times 10^{8} \)
c. \( 6.022 \times 10^{7} \)
D. \( 6.022 \times 10^{6} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3}-\underset{\boldsymbol{O} \boldsymbol{H}}{\boldsymbol{C}}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}- \)
\( B \)
\( \dot{C}-C H_{3} \)
\( I \)
\( B r \)
The IUPAC name of the above given
compound is:
A. 6,6 -Dibromoheptan- - -ol
B. 2,2-dibromoheptan-6-ol
c. 6,6 -dibromo- - hydroxyheptane
D. 2,2-dibromo-6-hydroxyheptane
Subject: Chemistry
Match the columns I, II and III and mark
the appropriate choice.
\begin{tabular}{lll} 
Column I & Column II & Column III \\
(A) Bromine & (i) Noble metal & (p) Amalgam \\
(B) Gold & (ii) Crystalline non-metal & (q) \( 4 s^{2} 4 p^{5} \) \\
(C) Mercury & (iii) Liquid non-metal & (r) Transition metal \\
(D) lodine & (iv) Liquid metal & (s) Violet \\
\hline
\end{tabular}
\( A \)
(A) \( \rightarrow(\text { iii }, q) ;(B) \rightarrow(i, r) ;(C) \rightarrow(i v, p) ;(D) \rightarrow(\text { ii, s }) \)
в. \( (A) \rightarrow(i i, p) ;(B) \rightarrow(i, s) ;(C) \rightarrow(i i i, q) ;(D) \rightarrow(i v, r) \)
\( c \)
(A) \( \rightarrow(\mathrm{i}, \mathrm{s}) ;(\mathrm{B}) \rightarrow(\mathrm{ii}, \mathrm{p}) ;(\mathrm{C}) \rightarrow(\mathrm{i} \vee, \mathrm{r}) ;(\mathrm{D}) \rightarrow(\text { iii }, \mathrm{q}) \)
\( D \cdot(A) \)
\( \rightarrow \) ii व)
\( (c) \)
\( \rightarrow \)
D) \( \rightarrow(i \) \( p \)
Subject: Chemistry
The coefficient of thermal expansion, \( \alpha \)
is nearly constant for a liquid \( \boldsymbol{\alpha}= \) \( \frac{1}{V}\left(\frac{d V}{d T}\right)_{P} \)
At \( 293 K \) and \( 1 a t m \) for water \( \alpha= \)
\( 2.1 K^{-1} \)
What is the approximate work done when 1 mole of liquid is heated from \( 288 K \) to \( 298 K \) at 1 at \( m \) (Molar volume
of liquid \( =18 m l \) )?
A. \( -78.25 k J \)
в. \( 78.15 J \)
c. \( -37.8 J \)
D. \( -83.14 J \)
Subject: Biology
Assertion
Origin of seed habit begins in Pteridophyta.
Reason
It is suggested by heterosporous Selaginella.
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
The IUPAC name for the complex
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right] \boldsymbol{C l}_{2} \) is:
A. Nitrito - N - pentaammine cobalt( (II) chloride
B. Nitrito - N - pentaammine cobalt(II) chloride
c. Pentaammine nitrito - N - cobalt( II) chloride
D. Pentaammine nitrito - N - cobalt (III) chloride
Subject: Physics
A machine gun of mass \( 12 \mathrm{kg} \) fires \( 25 \mathrm{g} \) bullets at the rate of 4 bullets per
second with a velocity of \( 500 \mathrm{m} s^{-1} \)
What force must be applied to the gun to hold it in position?
A. 20 N
B. 12.5 N
c. \( 50 \mathrm{N} \)
D. 75 N
Subject: Maths
Let \( \boldsymbol{A}=\{1, \mathbf{3}, \mathbf{5}, \mathbf{7}, \dots .\} \) and \( \boldsymbol{B}= \)
\{1,2,3,4,5\}
Then \( A \) and \( B \) are
A. Finite and infinite set respectively
B. Infinite and finite set respectively
c. Both Infinite sets
D. Both finite sets
Subject: Physics
Fix up one end of a slinky to a hook and hold it horizontally. Vibrate the other end to and fro along the length of the spring. If you look the spring carefully, you will see some parts of the spring are pushed closer, while some other
parts are pulled apart.
A. the portions which are pushed closer are called compressions
B. the portions which are pulled apart are called rarefactions
c. both a and \( b \)
D. none
Subject: Maths
The condition that the line \( \frac{x-\alpha^{\prime}}{l}= \) \( \frac{\boldsymbol{y}-\boldsymbol{\beta}^{\prime}}{\boldsymbol{m}}=\frac{\boldsymbol{z}-\boldsymbol{\gamma}^{\prime}}{\boldsymbol{n}} \) in the plane \( \boldsymbol{A} \boldsymbol{x}+ \)
\( \boldsymbol{B} \boldsymbol{y}+\boldsymbol{C} \boldsymbol{z}+\boldsymbol{D}=\mathbf{0} \) is
\( \mathbf{A} \cdot A \alpha^{\prime}+B \beta^{\prime}+C \gamma^{\prime}+D=0 \) and \( A l+B m+C n \neq 0 \)
B \( \cdot A \alpha^{\prime}+B \beta^{\prime}+C \gamma^{\prime}+D \neq 0 \) and \( A l+B m+C n=0 \)
C \( \cdot A \alpha^{\prime}+B \beta^{\prime}+C \gamma^{\prime}+D=0 \) and \( A l+B m+C n=0 \)
D \( \cdot A \alpha^{\prime}+B \beta^{\prime}+C \gamma^{\prime}=0 \) and \( A l+B m+C n=0 \)
Subject: Chemistry
\( 6 \mathrm{ml} \) of a standard soap solution \( (1 \mathrm{ml} \)
\( =0.001 \mathrm{g} \) ) of \( \mathrm{CaCO}_{3} \) were required in
titrating \( 50 \mathrm{ml} \) of water to produce a good lather. Its degree of hardness is:
A. 120 ppm
В. 100 ppm
c. 50 ppm
D. 60 ppm
Subject: Physics
The back wall of an aquarium is a
mirror that is \( 30 \mathrm{cm} \) away from the front
wall. The sides of the tank are negligibly thin. A fish is swimming midway between the front and back walls.
a. An image of the fish appears behind the mirror. How far does this image appear to be from the front wall of the
aquarium?
b. Would the refractive index of the
liquid have to be larger or smaller in order for the image of the fish to appear in front of the mirror, rather than behind it? Find the limiting value of this refractive index. Initially, water is there in aquarium having a refractive index
\( 4 / 3 \)
Subject: Chemistry
List- -
List-II
A) Haber's process
1) Nitric acid
B) Ostwald's process
2) \( N_{2}+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \leftrightharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{3} \)
C) Contact process
3) Ammonia
\( +C a C O_{3} \)
D) Cynamide process
4) Sulphuric
acid
Perdisulphuric acid
The correct match is :
A \( \cdot \) A- \( -1, \) B- \( -4, \) C-5, D-2
B. A-2, B-1, C-4, D-3
c. \( A-1, B-4, C-3, D-2 \)
D. A-5, B-3, C-1, D-4
Subject: Chemistry
If the equilibrium constant for \( N_{2}(g)+ \)
\( O_{2}(g) \rightleftharpoons 2 N O(g) \) is \( K, \) the equilibrium
constant for \( \frac{1}{2} N_{2}(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons \)
\( N O(g) \) will be:
A. \( K \)
B. \( K^{2} \)
c. \( K^{\frac{1}{2}} \)
D・\( \frac{1}{2} K \)
Subject: Maths
Evaluate the integral \( \int_{2}^{3} \frac{\sqrt{\boldsymbol{x}}}{\sqrt{\mathbf{5}-\boldsymbol{x}}+\sqrt{\boldsymbol{x}}} \boldsymbol{d} \boldsymbol{x} \)
A \( \cdot 1 / 2 \)
B . \( 3 / 2 \)
\( c \cdot 5 / 2 \)
D. 0
Subject: Physics
The resultant magnetic moment due to two currents carrying concentric coils of radius \( r, \) mutually perpendicular to
each other will be
A. \( \sqrt{2} i \)
B. \( \sqrt{2} i \pi r^{2} \)
\( \mathbf{c} \cdot 2 \pi r^{2} \)
D. \( \sqrt{2} i r^{2} \)
Subject: Chemistry
A saturated solution of silver benzoate
has a \( p H \) of \( 8.63 . K_{a} \) for benzoic acid is
\( 6.5 \times 10^{-5} . K_{s p} \) of silver benzoate will
be
A. \( 1.4 \times 10^{-2} \) mol \( ^{2} \) litre \( ^{-2} \)
B . \( 1.9 \times 10^{-2} \) mol \( ^{2} \) litre \( ^{-2} \)
c. \( 2.4 \times 10^{-2} \) mol \( ^{2} \) litre \( ^{-2} \)
D. none of these
Subject: Physics
A stream of water (density \( \rho \) ) flowing horizontally with a speed v emerges from a tube of cross-sectional area \( A \)
and hits on adjacent vertical wall. The
force of impact on the wall when the
water does not rebound is:
A \( \cdot \rho A v^{2} \)
B. \( \rho A v \)
c. \( \frac{\rho A}{v} \)
D. none of these
Subject: Physics
A hemisphere body of radius \( R \) is
placed in a uniform electric field \( \boldsymbol{E} \)
What is the flux linked with the curved surface if the field is perpendicular to
the base?
\( A \cdot 2 \pi R^{2} E \)
\( \mathbf{B} \cdot \pi R^{2} E \)
c. \( \pi R^{2} E / 2 \)
D.
Subject: Physics
The phases of the light wave at \( c, d, e \)
and \( f \) are \( \phi_{c}, \phi_{d}, \phi_{e} \) and \( \phi_{f} \) respectively.
It is given that \( \phi_{c} \neq \phi_{r} \)
\( \mathbf{A} \cdot \phi_{c} \) cannot be equal to \( \phi_{d} \)
B. \( \phi_{d} \) cannot equal to \( \phi_{\mathrm{e}} \)
\( \mathbf{c} \cdot\left(\phi_{d}-\phi_{f}\right) \) is equal to \( \left(\phi_{c}-\phi_{e}\right) \)
\( \mathbf{D} \cdot\left(\phi_{d}-\phi_{c}\right) \) is not equal to \( \left(\phi_{f}-\phi_{e}\right) \)
Subject: Biology
Which one of the following correctly describes the manner of determining
the sex in the given examples?
A. Homozygous sex chromosomes (XX) produce male in Drosophila.
B. Homozygous sex chromosomes (ZZ) determine female sex in birds
c. xo type of sex chromosomes determine male sex in grasshopper.
D. xo condition in humans as found in Turner's syndrome, determines female sex
Subject: Physics
A particle is dropped from a height ' \( \boldsymbol{H} \) '.
The de Broglie wavelength of the particle depends on height as
A. \( H \)
B. \( H^{-1 / 2} \)
\( \mathrm{c} \cdot H^{0} \)
D. \( H^{1 / 2} \)
Subject: Chemistry
Equal weights of methane and oxygen are mixed in an empty container at
\( 25^{\circ} \mathrm{C} . \) The fraction of the total pressure
exerted by oxygen is:
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{2}{3} \)
D.
Subject: Chemistry
An organic compound (Mol. wt. \( =60 \) ) is found to contain \( \boldsymbol{C}=\mathbf{2 0 \%}, \boldsymbol{H}= \)
\( \mathbf{6 . 6 7} \%, N=\mathbf{4 6 . 6 7} \% \) and remaining
is oxygen. On heating, it gives \( \boldsymbol{N} \boldsymbol{H}_{3} \)
along with a solid residue. The solid residue gives violet colour with alkaline
\( C u S O_{4} . \) The compound is:
A. \( C H_{3} N C O \)
в. \( C H_{3} C O N H_{2} \)
c. \( N H_{2} C O N H_{2} \)
D. \( C H_{3} C H_{2} C O N H_{2} \)
Subject: Maths
The set of all \( x \) in \( (-\pi, \pi) \) satisfying \( |4 \sin x-1|<\sqrt{5} \) is
\( \boldsymbol{x} \boldsymbol{\epsilon}\left(-\boldsymbol{\pi},-\frac{\boldsymbol{k} \boldsymbol{\pi}}{\mathbf{1 0}}\right) \cup\left(-\frac{\boldsymbol{\pi}}{\mathbf{1 0}}, \frac{\boldsymbol{\pi}}{\mathbf{1 0}}\right) \cup \)
\( \left(\frac{k \pi}{10}, \pi\right) . \) Find the value of \( k \)
Subject: Physics
A student writes the equation of an angular \( \mathrm{SHM} \) as \( \boldsymbol{\pi} / \mathbf{3}=\boldsymbol{\pi} / \mathbf{6} \sin (\boldsymbol{\omega} \boldsymbol{t}) . \) Is
this correct?
A. This equation is correct as it is of the form \( \theta= \) \( \phi \sin (\omega t) \)
B. This equation is incorrect as instantaneous angular displacement is more than the angular amplitude
C. This equation is incorrect as the equation lacks a phase factor
D. This equation is correct since the SHM has a sin factor in it