AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
Assertion: A capacitor blocks direct current in the steady state.

Reason : The capacitive reactance of the capacitor is inversely proportional to frequency f of the source of emf
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements
Subject: Chemistry
The mass of \( P_{4} O_{10} \) produced, if 440 g of \( P_{4} S_{3} \) is mixed with \( 384 g m \) of \( O_{2}, \) is:
\( \boldsymbol{P}_{4} \boldsymbol{S}_{3}+\boldsymbol{O}_{2} \rightarrow \boldsymbol{P}_{4} \boldsymbol{O}_{10}+\boldsymbol{S} \boldsymbol{O}_{2} \)
\( A .568 g m \)
в. \( 426 \mathrm{gm} \)
c. \( 284 g m \)
D. \( 396 g m \)
Subject: Physics
A ball (solid sphere) of mass \( m \) is
rolling on a smooth horizontal surface
as shown in figure. At an instant the
magnitude of the velocity of the centre
of mass is \( v_{0} \) and its angular velocity is \( \omega \frac{v_{0}}{2 R}, \) where \( R \) is the radius of the ball.
The total kinetic energy of the rolling
ball at this instant is:-
\( \mathbf{A} \cdot \frac{7}{5} m R^{2} \omega_{0}^{2} \)
B. \( \frac{11}{5} m R^{2} \omega_{0}^{2} \)
\( c \)
D.
Subject: Chemistry
On mixing \( 10 \mathrm{mL} \) of acetone with \( 40 \mathrm{mL} \) of chloroform, the total volume of the solution is:
\( A \cdot<50 m L \)
B. > 50 \( m \) L
\( c_{c}=50 \mathrm{mL} \)
D. Can not be predicted
Subject: Chemistry
In an adsorption experiment, a graph between \( \log \left(\frac{x}{m}\right) \) versus \( \log p \) is found
to be linear with slope of \( 45^{\circ} . \) The intercept on \( \log \left(\frac{\boldsymbol{x}}{\boldsymbol{m}}\right) \) axis was found to
\( 0.3010 . \) The amount of the gas adsorbed per gram of charcoal under the pressure of 0.5 atm will be:
A . 1.0
в. 2.0
c. 0.50
D. 0.25
Subject: Chemistry
A graph of volume of hydrogen released
vs time for the reaction between zinc
and dil. \( H C l \) is given in figure. On the
basis of this mark the correct option.
' Average rate upto 40 seconds is \( \frac{V_{3}-V_{2}}{40} \)
B. Average rate upto 40 seconds is \( \frac{V_{3}-V_{2}}{40-30} \)
c. average rate upto 40 seconds is \( \frac{V_{3}}{40} \)
'Average rate upto 40 seconds is \( \frac{V_{3}-V_{1}}{40-20} \)
Subject: Chemistry
H-atom is exposed to electromagnetic radiation of \( \lambda=1025.6 A \) and excited
atom gives out induced radiations. What is the minimum wavelength of these induced radiations?
A. \( 102.6 \mathrm{nm} \)
B. \( 12.09 \mathrm{nm} \)
c. \( 121.6 \mathrm{nm} \)
D. \( 810.8 \mathrm{nm} \)
Subject: Maths
Let the vectors \( \vec{a} \) and \( \vec{b} \) be such that
\( |\vec{a}|=3 \) and \( |\vec{b}|=\frac{\sqrt{2}}{3}, \) then \( \vec{a} \times \vec{b} \) is a
is
A \( \cdot \frac{\pi}{6} \)
в.
\( c \cdot \frac{\pi}{3} \)
D.
Subject: Physics
A ring takes time \( t_{1} \) and \( t_{2} \) for sliding down and rolling down an inclined plane
of length \( L \) respectively for reaching the
bottom. The ratio of \( t_{1} \) and \( t_{2} \) is
A \( \cdot \sqrt{2}: 1 \)
B. \( 1: \sqrt{2} \)
c. 1: 2
D. 2: 1
Subject: Chemistry
A Si and a Ge diode has identical
physical dimensions. The band gap in \( \mathrm{Si} \)
is larger than that in Ge. An identical
reverse bias is applied across the
diodes
A. The reverse current in Ge is larger than that in Si
B. The reverse current in Si is larger than that in Ge
c. The reverse current is identical in the two diodes
D. The relative magnitude of the reverse currents cannot be determined from the given data only
Subject: Physics
The ratio of the values in SI units to
values in CGS units of density is
\( \mathbf{A} \cdot 10^{3}: 1 \)
B \( \cdot 10^{2}: 1 \)
\( \mathbf{c} \cdot 10^{-2}: 1 \)
D. \( 10^{-3}: 1 \)
Subject: Chemistry
The balanced chemical equation for the
reaction of iron \( (I I I) \) oxide and carbon
monoxide is :
A \( \cdot F e_{2} O_{3}+3 C O \rightarrow 2 F e O+2 C O_{2} \)
в. \( F e_{2} O_{3}+3 C O \rightarrow 2 F e+3 C O \)
c. \( F e_{2} O_{3}+3 C O \rightarrow 2 F e+3 C O_{2} \)
D. \( 2 F e_{2} O_{3}+3 C O \rightarrow 4 F e O+3 C O_{2} \)
Subject: Chemistry
The bond energies of \( F_{2}, C l_{2}, B r_{2}, \) and
\( I_{2} \) are \( 155 \mathrm{kJ} \) mol \( ^{-1}, 244 \mathrm{kJ} \mathrm{mol}^{-1}, 193 \)
kJ \( m o l^{-1} \) and 151 kJ \( m o l^{-1} \) respectively. The weakest bond will be in:
A. \( B r_{2} \)
в. \( C l_{2} \)
\( c \cdot F_{2} \)
D. \( I_{2} \)
Subject: Chemistry
Assertion: Dry cell is a primary cell and
lead storage cell is a secondary cell Reason: A primary cell can only be used once while secondary cells are rechargeable.
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
Specify the co-ordination geometry
around and hybridization of \( N \) and \( B \)
\( \operatorname{atom} \operatorname{in} \mathbf{a} 1: 1 \) complex of \( B F_{3} \) and
\( \boldsymbol{N} \boldsymbol{H}_{3}: \)
\( \mathbf{A} \cdot N: \) tetrahedral, \( s p^{3} ; B: \) tetrahedral, \( s p^{3} \)
B. \( N: \) pyramidal, \( s p^{3} ; B \) : pyramidal, \( s p^{3} \)
C \( . N: \) pyramidal, \( s p^{3} ; B: \) planar, \( s p^{3} \)
D. \( N: \) pyramidal, \( s p^{3} ; B: \) tetrahedral, \( s p^{3} \)
Subject: Chemistry
The \( K_{s p} \) value for some sulphides are
\( \boldsymbol{K}_{s p}\left(\boldsymbol{B} \boldsymbol{i}_{2} \boldsymbol{S}_{3}\right)=\mathbf{1} \cdot \boldsymbol{2} \times \mathbf{1 0}^{-98} \)
\( \boldsymbol{K}_{s p}\left(\boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}\right)=\boldsymbol{4} \times \mathbf{1 0}^{-48} ; \boldsymbol{K}_{s p}(\boldsymbol{N} \boldsymbol{i} \boldsymbol{S})= \)
\( 1.6 \times 10^{-25} . \) An unknown cation \( X^{+} \)
was added to a solution of \( N a_{2} S \). The
precipitation of sulphide of the cation
was found to occur before \( N i S \) but after
\( A g_{2} S . \) The \( K_{s p} \) value for the sulphide of
cation \( X^{+} \) is closest to:
A \( \cdot 1 \times 10^{-26} \)
B. \( 1 \times 10^{-44} \)
C. \( 1 \times 10^{-65} \)
D. \( 1 \times 10^{-95} \)
Subject: Maths
Find the equation of the plane through
the intersection of the planes \( 3 x- \)
\( 4 y+5 z=10 \) and \( 2 x+2 y-3 z=4 \)
and parallel to the line \( \boldsymbol{x}=\mathbf{2} \boldsymbol{y}=\mathbf{3} \boldsymbol{z} \)
Subject: Maths
Let \( \mathbf{f}(\mathbf{x}) \) be differentiable on 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 each \( \mathbf{x}>0 . \) Then \( \mathbf{f}(\mathbf{x}) \) is
A \( \frac{1}{3 \mathrm{x}}+\frac{2 \mathrm{x}^{2}}{3} \)
B. \( -\frac{1}{3 x}+\frac{4 x^{2}}{3} \)
c. \( -\frac{1}{x}+\frac{2}{x^{2}} \)
\( D \cdot \underline{1} \)
Subject: Maths
Given, \( \xi=\{ \) Natural numbers between \( 25 \text { and } 45\} ; A=\{\text { even numbers }\} \) and \( B \)
\( \{\text { multiples of } 3\} \) then \( n(A)+n(B)= \)
\( \boldsymbol{n}(\boldsymbol{A} \cup \boldsymbol{B})+\boldsymbol{n}(\boldsymbol{A} \cap \boldsymbol{B}) . \) If true enter 1 else
0
Subject: Chemistry
An organic compound \( \boldsymbol{X} \) give following laboratory tests.
(i) It gives white precipitate with tollen's reagent
(ii) it gives +ve iodoform test
(iii) It gives lucas test within 5 min
\( X \) can be:
A. \( H-C \equiv C-\left(C H_{2}\right)_{n}-_{O H}^{C H}-C H_{2}-C H_{3} \)
в. \( C H_{3}-C \equiv C-\left(C H_{2}\right) n-C H-C H_{3} \)
c. \( H-C \equiv C-\left(C H_{2}\right) n-C H-C H_{3} \)
D. none of the above
Subject: Physics
If a body placed at the origin is acted upon by a force \( \overline{\boldsymbol{F}}=(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\sqrt{\mathbf{2}} \hat{\boldsymbol{k}}) \)
then which of the following statements are correct?
1.Magnitude of \( \overline{\boldsymbol{F}} \) is \( (2+\boldsymbol{s} \boldsymbol{q} \boldsymbol{r} \boldsymbol{t} \boldsymbol{2}) \)
2.Magnitude of \( \overline{\boldsymbol{F}} \) is 2
3. \( \bar{F} \) makes an angle of \( 45^{0} \) with the \( Z \) -
axis.
4. \( \bar{F} \) makes an angle of \( 30^{0} \) with the \( Z \)
axis.
Select the correct answer using the codes given below.
A . 1 and 3
B. 2 and 3
c. 1 and 4
D. 2 and 4
Subject: Chemistry
The correct statement(s) among the
following is/are:
This question has multiple correct options
A. All \( d \) -orbitals except \( d_{x^{2}} \) have two angular nodes
B. \( d_{x^{2}-y^{2}}, d_{z^{2}} \) lie on the axes
C. The degeneracy of \( p \) -orbitals remains unaffected in the presence of external magnetic field
D. \( d \) -orbitals have 3 -fold degeneracy
Subject: Biology
Match the following.
\( \begin{array}{ll}\text { Column I } & \text { Column II } \\ \begin{array}{l}\text { I. Sandy } \\ \text { soil }\end{array} & \text { A. } 85 \% \text { sand }+15 \% \text { clay or silt } \\ \begin{array}{l}\text { II. Loam } \\ \text { soil }\end{array} & \text { B. } 70 \% \text { sand }+30 \% \text { clay or silt } \\ \text { III. Silt } & \begin{array}{l}\text { C. } 50 \% \text { sand }+50 \% \text { clay or silt or } \\ \text { both }\end{array}\end{array} \)
\( \mathbf{A} \)
I-A, II-D, |II-C
B. ।- \( A,\|-B,\| I-D \)
C . \( \mid-A, \) II- \( D, \| I-B \)
D. I- A, II-B, III- C
\( E \cdot|-A,| I-C,|I|-D \)
Subject: Maths
What are represented by the equation \( \boldsymbol{x}^{3}+\boldsymbol{y}^{3}+(\boldsymbol{x}+\boldsymbol{y})(\boldsymbol{x} \boldsymbol{y}-\boldsymbol{a} \boldsymbol{x}-\boldsymbol{a} \boldsymbol{y})=\mathbf{0} \)
Subject: Maths
If the area of the \( \triangle A B C \) is 68 sq.units
and the vertices are \( \boldsymbol{A}(\boldsymbol{6}, \boldsymbol{7}), \boldsymbol{B}(-\boldsymbol{4}, \boldsymbol{1}) \)
and \( C(a,-9) \) taken in order, then find
the value of \( a \).
Subject: Maths
Given that \( A \subset B, \) then identify the
correct statement
\( \mathbf{A} \cdot P(A / B)=P(A) \)
B \( . P(A / B) \leq P(A) \)
\( \mathbf{c} \cdot P(A / B) \geq P(A) \)
D \( \cdot P(A / B)=P(A)-P(B) \)
Subject: Physics
A uniform chain of length \( 2 m \) is kept on a table such that a length of \( 60 \mathrm{cm} \) hangs freely from the edge of the table. The total mass of the chain is \( 4 k g \)
What is the work done in pulling the
entire chain on the table?
A .125
\( J \)
B. 3.6 J
\( c .7 .25 \)
D. \( 1200 J \)
Subject: Maths
If the planes \( \boldsymbol{x}-\boldsymbol{b} \boldsymbol{z}=\mathbf{0}, \boldsymbol{c} \boldsymbol{x}-\boldsymbol{y}+=\mathbf{0} \)
and \( b x+a y-z=0, \) pass through a
line, then find the value of \( a^{2}+b^{2}+ \)
\( c^{2}+2 a b c \)
A.
B.
c. -1
D. \( \frac{1}{2} \)
Subject: Physics
A uniform circular sheet has a radius r.
A square sheet of diagonal length equal to the radius of the plate is removed from one end of it. The distance of the
centre of mass of the reminder plate
from the centre of the original sheet is
A \( \cdot \frac{r}{2(2 \pi-1)} \)
в. \( \frac{r}{(\pi-2)} \)
c. \( \frac{2 r}{(\pi-3)} \)
D. \( \frac{r}{2(\pi-1)} \)
Subject: Maths
\( f(x)=\left|\begin{array}{ccc}x & \cos x & e^{x^{2}} \\ \sin x & x^{2} & \sec x \\ \tan x & 1 & 2\end{array}\right| . \) Find
\( \boldsymbol{f}(\mathbf{0}) ? \)
\( \mathbf{A} \cdot \mathbf{0} \)
\( B \)
\( c .-r \)
D. \( 2 \pi \)
Subject: Physics
At what angular velocity of the rod the horizontal component of the force
acting on the lower end of the axis \( O O^{\prime} \)
is equal to zero?
A. \( 12.0 \mathrm{rad} / \mathrm{s} \)
B. \( 6.0 \mathrm{rad} / \mathrm{s} \)
c. \( 3.0 \mathrm{rad} / \mathrm{s} \)
D. \( 9.0 \mathrm{rad} / \mathrm{s} \)
Subject: Physics
A particle is moving with a constant speed in a circular path. The ratio of average velocity to its instantaneous velocity when the particle describe an angle \( \frac{\pi}{2} \) is?
A. \( 3 / 2 \pi \)
B. \( \frac{2 \sqrt{2}}{\pi} \)
\( c \cdot \frac{2}{\pi} \)
D.
Subject: Physics
Q Type your question
between its plates that covers \( 1 / 3 \) of the
area of its plates, as shown in the figure. The total capacitance of the capacitor is \( C \) while that of the portion
with dielectric in between is \( \mathrm{C}_{1} \). When
the capacitor is charged, the plate area
covered by the dielectric gets charge \( Q_{1} \)
and the rest of the area gets charge \( Q_{2} \)
The electric field in the dielectric is \( \mathrm{E}_{1} \)
and that in the other portion is \( \mathrm{E}_{2} \)
Choose the correct option/options, ignoring edge effects:
This question has multiple correct options
A \( \cdot \frac{E_{1}}{E_{2}}=1 \)
В. \( \frac{E_{1}}{E_{2}}=\frac{1}{K} \)
C. \( \frac{Q_{1}}{Q_{2}}=\frac{3}{K} \)
D. \( \frac{C}{C_{1}}=\frac{2+K}{K} \)
Subject: Maths
Let \( f(x) \) be a real-valued differentiable
function not identically zero such that \( \boldsymbol{f}\left(\boldsymbol{x}+\boldsymbol{y}^{2 n+1}\right)=\boldsymbol{f}(\boldsymbol{x})+ \)
\( \{f(y)\}^{2 n+1}, n \epsilon N \) and \( x, y \) are any real
numbers and \( f^{\prime}(0) \geq 0 . \) Find the value
of \( f(5) \)
A . 0
B. 1
c. 2
D. 5
Subject: Chemistry
\( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{2} \)
The above electronic configuration is represented for which atoms among the following?
A. An excited state \( C a \) atom
B. A ground state \( C a \) atom
c. An excited state \( S c \) atom
D. An excited state \( K \) atom
E. None of the above
Subject: Biology
Identify the correct pair of characters with reference to Pteris.
(I) Neck canal cell is uninucleated.
(II) Stem grows vertically in the soil.
(III) Apogamously produced sporophytes are haploids.
(IV) Open dichotomous venation in
leaflets.
The correct answer is
\( A \cdot(11),(1 \vee) \)
в. (III), (IV)
c. (।), (॥)
D. (I), (III)
Subject: Chemistry
Which of the following pairs constitute isotones?
A \( \cdot \frac{i 3}{6} \mathrm{C} \) and \( \frac{14}{6} \mathrm{C} \)
B . \( _{6}^{13} C \) and \( \frac{14}{7} N \)
C \( \cdot \frac{44}{7} N \) and \( _{9}^{19} F \)
D. \( \frac{14}{7} N \) and \( \frac{15}{7} N \)
Subject: Physics
A cell of emf \( 2 \mathrm{V} \) delivers current equal to
\( 20 \% \) of the maximum current, which it
can produce through a resistance \( 4 \Omega \) Its internal resistance is
A . \( 0.1 \Omega \)
B. 19
\( c \cdot 0.5 \Omega \)
D. 1.5.
Subject: Physics
If in the resultant wave the frequency and amplitude remains equals to
amplitude of superimposing waves. Then phase diff. between them is: -
Two waves having equation
\[
\begin{array}{l}
\mathbf{x}_{1}=\mathbf{a} \sin \left(\omega \mathbf{t}+\mathbf{\phi}_{1}\right) \\
\mathbf{x}_{2}=\mathbf{a} \sin \left(\omega \mathbf{t}+\phi_{2}\right)
\end{array}
\]
A \( \cdot \frac{\pi}{6} \)
в. \( \frac{2 \pi}{3} \)
c. \( \frac{\pi}{4} \)
D. \( \frac{\pi}{3} \)
Subject: Chemistry
Henry's law constant for molality of methane in benzene at \( 298 K \) is \( 4.27 \times \)
\( 10^{5} \) mm \( H g . \) The mole fraction of
methane in benzene at \( 298 K \) under
\( 760 m m H g \) is:
A. \( 1.78 \times 10^{-3} \)
B. 17.43
c. 0.114
D. 2.814
Subject: Maths
Range of values of the function \( y= \) \( \log _{3}\left[\frac{3 \sin x+4 \cos x+10}{3 \sin x+4 \cos x}\right] \) is equal to
\( A \cdot(-\infty, 1] \)
B . \( [1, \infty) \)
\( c \cdot[3, \infty) \)
D・ [0,1]
Subject: Physics
A sphere of radius \( R \) has a volume
density of charge \( \rho=k r, \) where \( r \) is the
distance from the centre of the sphere
and \( k \) is constant. The magnitude of the
electric field which exits at the surface
of the sphere is given by:
\( \left(\varepsilon_{0}=\text { permittivity of free space }\right) \)
A \( \cdot \frac{4 \pi k R^{2}}{3 \varepsilon_{0}} \)
B. \( \frac{k R}{3 \varepsilon_{0}} \)
c. \( \frac{4 \pi k R}{\varepsilon_{0}} \)
D. \( \frac{k R^{2}}{4 \varepsilon_{0}} \)
Subject: Chemistry
Given Reaction.
Y in reaction is:
\( \left\langle\mathrm{Br} \frac{\text { ether }}{\mathrm{Mg}}>\mathrm{x} \frac{(\mathrm{i}) \mathrm{H}_{2} \mathrm{O}}{(\mathrm{ii}) \mathrm{HCl}}>\mathrm{Y}(\text { main product })\right. \)
\( A . \) Hexane
B. Cyclohexane
C . Cyclohexylcyclohexane
D. Cyclohexylether
Subject: Chemistry
\( (\boldsymbol{A}+\boldsymbol{A} \boldsymbol{g})+\boldsymbol{Z} \boldsymbol{n} \longrightarrow(\boldsymbol{A}+\boldsymbol{A} \boldsymbol{g}+ \)
\( Z n) \frac{\operatorname{cooling}}{y-\operatorname{layer}} \frac{x-\operatorname{layer}}{y-\ln } \)
x layer - solid alloy y layer - molten metal
Molten metal is purified by:
A. Hall-Heroult process
B. Hoop method
c. Baeyer's process
D. Parkes process
Subject: Maths
Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.
\( \begin{array}{llll}\operatorname{Time} & \mathbf{6 0}- & \mathbf{8 0 -} & \mathbf{1 0 0}- \\ (\text { minutes }) & \mathbf{8 0} & \mathbf{1 0 0} & \mathbf{1 2 0}\end{array} \)
No. of 14 20 24
Subject: Physics
An object is displaced from point \( \mathrm{A}(2 \mathrm{m} \) \( 3 m, 4 m) \) to a point \( B(1 m, 2 m, 3 m) \) under a constant force \( \overrightarrow{\boldsymbol{F}}= \) \( (2 \hat{i}+3 \hat{j}+4 \hat{k}) N . \) Find the work done by this force in this process.
A. \( -9 J \)
\( J \)
B. \( 9 J \)
c. \( -18 J \)
D. \( 18 J \)
Subject: Maths
Let tangent at a point \( \mathrm{P} \) on the curve \( x^{2 m} y^{\frac{n}{2}}=a^{\frac{4 m+n}{2}} \) meets the x-axis
and y-axis at A and B respectively if AP:
\( \mathrm{PB} \) is \( \frac{n}{\lambda m} \) where \( \mathrm{P} \) lies between \( \mathrm{A} \) and \( \mathrm{B} \)
then find the value of \( \lambda \)
Subject: Physics
If a conductor carrying current is kept in the magnetic field, the magnitude of force on the electric conductor will be
maximum when :
A. The conductor makes an angle of \( 30^{\circ} \) with the magnetic field
B. The conductor makes an angle of \( 60^{\circ} \) with the magnetic field
c. The conductor makes an angle of \( 90^{\circ} \) with the magnetic field
D. The conductor makes an angle of \( 45^{\circ} \) with the magnetic field
Subject: Chemistry
The major product obtained in the
following reaction is:
A \( \cdot C_{6} H_{5} C H=C H C_{6} H_{5} \)
\( \mathbf{B} \cdot(+) C_{6} H_{5} C H\left(O^{t} B u\right) C H_{2} C_{6} H_{5} \)
\( \mathbf{c} \cdot(-) C_{6} H_{5} C H\left(O^{t} B u\right) C H_{2} C_{6} H_{5} \)
\( \mathbf{D} \cdot(\pm) C_{6} H_{5} C H\left(O^{t} B u\right) C H_{2} C_{6} H_{5} \)
Subject: Chemistry
Correct order of boiling points among following is:
\( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{3} \boldsymbol{C H}_{3}, \quad \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O C}_{2} \boldsymbol{H}_{5} \)
\( (\boldsymbol{X}) \)
\( (Y) \)
\( A \cdot x>Y>z \)
B. \( Y>X>Z \)
\( c \cdot z>x>r \)
D. \( z>Y>x \)
Subject: Chemistry
The vapour pressure of a solvent
decreased by \( 10 \mathrm{mm} \) of mercury when a
non-volatile solute was added to the
solvent. The mole fraction of the solute
in the solution is \( 0.2 . \) What should be the mole fraction of the solvent, if the
decrease in the vapour pressure is to be
20 mm of mercury?
A . 0.8
B. 0.6
\( c .0 .4 \)
D. 0.2
Subject: Chemistry
Molar conductance of a \( 0.2 \mathrm{M} \) solution
of a weak acid, \( \boldsymbol{H} \boldsymbol{A} \) is \( 2.8 \times 10^{-2} \boldsymbol{S m}^{2} \)
mol \( ^{-1} \). If the limiting molar conductance of \( \boldsymbol{H} \boldsymbol{A} \) is \( \mathbf{5 6 0} \mathbf{~} \mathbf{S} \boldsymbol{m}^{2} \boldsymbol{m o l}^{-1} \)
the dissociation constant of the acid is:
\( \mathbf{A} \cdot 5 \times 10^{-10} \)
B . \( 10^{-10} \)
C \( .5 \times 10^{-5} \)
D. \( 2 \times 10^{-15} \)
Subject: Physics
A body is thrown horizontally from the top of a tower of height 5 m. It touches the ground at a distance of \( 10 \mathrm{m} \) from
the foot of the tower. The initial velocity
of the body is \( \left(g=10 m s^{-2}\right) \)
A \( .2 .5 \mathrm{ms}^{-1} \)
B. \( 5 \mathrm{ms}^{-1} \)
\( \mathrm{c} \cdot 10 \mathrm{ms}^{-1} \)
D. \( 20 m s^{-1} \)
Subject: Biology
Study the following lists.
ListList-II
(A) A. G
(I) Classified plant communities tansley
(II) Structure and function of
(B) Wanning
(C) Odum
(III) Term 'Biosphere'
(D) Reiter
(IV) Term' Ecology'
(V) Term'Ecosystem'
Identify the sequence of list II with
respect to list I
A. A- (II), B- (V), C- (I), D- (III)
B. A-(IV),B-(III), C-(V),D- (II)
\( c \cdot A-(1 V), B-(111), C-(V), D-(1) \)
D. \( A-(V), B-(1), C-(11), D-(1 V) \)
Subject: Maths
\( \boldsymbol{I} \boldsymbol{f}\left(\boldsymbol{x}_{1}-\boldsymbol{x}_{2}\right)^{2}+\left(\boldsymbol{y}_{1}-\boldsymbol{y}_{2}\right)^{2}=\boldsymbol{a}^{2}\left(\boldsymbol{x}_{2}-\right. \)
\( \left.x_{3}\right)^{2}+\left(y_{2}-y_{3}\right)^{2}=b^{2} \) and \( \left(x_{3}-x_{1}\right)^{2}+ \)
\( \left(y_{3}-y_{1}\right)^{2}=c^{2} \operatorname{then} 4\left|\begin{array}{ccc}x_{1} & y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1\end{array}\right| \) is
equal to
\( \mathbf{A} \cdot \sqrt{a b c(\mathrm{a}+\mathrm{b}+\mathrm{c})} \)
B. \( \sqrt{(a+b+c)^{4}} \)
c. \( 2 \sqrt{(a+b+c)(a+b-c)(b+c-a)(c+a-b)} \)
D. \( (a+b+c)\left(a^{2}+b^{2}+c^{2}\right) \)
Subject: Chemistry
The equilibrium of the reaction
\( \boldsymbol{S O}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \) is \( \boldsymbol{4} \times \)
\( 10^{-3} a t m^{-1 / 3} . \) The equilibrium constant
of the reaction \( 2 S O_{3}(g) \rightleftharpoons 2 S O_{2}(g)+ \)
\( O_{2}(g) \) would be:
A. \( 250 a t m \)
B . \( 4 \times 10^{3} a t m \)
\( \mathbf{c} \cdot 0.25 \times 10^{4} a t m \)
D. \( 6.25 \times 10^{4} \) atm
Subject: Maths
If the equation \( x^{2}+4+3 \cos (a x+ \)
\( b)=2 x \) has at least one solution where
\( \boldsymbol{a}, \boldsymbol{b} \in[\mathbf{0}, \mathbf{5}], \) then the value of \( (\boldsymbol{a}+\boldsymbol{b}) \)
equal to
This question has multiple correct options
A \( .5 \pi \)
в. \( 3 \pi \)
c. \( 2 \pi \)
D.
Subject: Physics
A ball thrown vertically upwards with a velocity of \( 25 \mathrm{m} / \mathrm{s} \) reaches its highest point of at \( 35 \mathrm{m} \) in 1.5 sec. Find the total
distance travelled by the ball and its position after 2 sec respectively.
A. Total distance \( =50 \mathrm{m}, \) After \( 2 \mathrm{sec}=25.4 \mathrm{m} \)
B. Total distance \( =35 \mathrm{m} \), After \( 2 \mathrm{sec}=28 \mathrm{m} \)
c. Total distance \( =37.5 \mathrm{m}, \) After \( 2 \mathrm{sec}=50 \mathrm{m} \)
D. Total distance = 70 \( \mathrm{m} \), After 2 \( \mathrm{sec}=30.4 \mathrm{m} \)
Subject: Maths
\( \ln \Delta A B C \) and \( \Delta D E F, A B=D F \) and
\( \angle A=\angle D . \) The two triangles will be
congruent by SAS axiom if :
A \( . \) BC \( = \) EF
B. AC = DE
\( c \cdot B C=D E \)
D. AC = EF
Subject: Physics
Ine magnetıc tıeld \( \boldsymbol{B} \) at the centre of a
circular coil of radius \( r \) is \( \pi \) times that
due to a long straight wire at a distance
\( r \) from it, for equal currents. The
following diagram shows three cases. In
all cases the circular part has radius \( r \)
and straight ones are infinitely long. For
the same current the field \( B \) at centre \( P \)
in cases 1,2,3 has the ratio:
\( ^{\mathbf{A}} \cdot\left(-\frac{\pi}{2}\right):\left(\frac{\pi}{2}\right):\left(\frac{3 \pi}{4}-\frac{1}{2}\right) \)
B \( \cdot\left(-\frac{\pi}{2}+1\right):\left(\frac{\pi}{2}+1\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right) \)
\( \left(-\frac{\pi}{2}\right):\left(\frac{\pi}{2}\right):\left(\frac{3 \pi}{4}\right) \)
D \( \cdot\left(-\frac{\pi}{2}-1\right):\left(\frac{\pi}{2}-\frac{1}{4}\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right) \)
Subject: Physics
The thermo-emf of a copper-constant
couple is \( 40 \mu V \) per degree. The smallest temperature difference that can be detected with this couple and
galvanometer of \( 100 \Omega \) resistance capable of measuring the minimum
current of \( 1 \mu A \) is
A \( \cdot 2.5^{\circ} \mathrm{C} \)
B. \( 2^{\circ} C \)
\( \mathbf{c} \cdot 1.5^{\circ} \mathrm{C} \)
D. \( 1^{\circ} \mathrm{C} \)