AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The vertices of a triangle are \( \boldsymbol{A}(\mathbf{1}, \mathbf{1}), \boldsymbol{B}(\mathbf{4}, \mathbf{5}) \) and \( \boldsymbol{C}(\mathbf{6}, \mathbf{1 3}) . \) Find \( \cos \boldsymbol{A} \)
Subject: Chemistry
Which of the following electronic
configurations represents the violation of both Aufbau principle and Hund's rule?
\( A \)
\[
\frac{\sqrt{16}}{3 s} \frac{\sqrt{111111 k}}{3 p} \cdot \frac{\sqrt{1}|1| 1 \mid}{3 d} \frac{\sqrt{11}}{4 s}
\]
в.
\( c \)
\[
\frac{\sqrt{11}}{3 \mathrm{s}} \frac{\sqrt{111 L 11}}{3 p} \quad \frac{\sqrt{141} / 1}{3 \mathrm{d}}
\]
D.
Subject: Chemistry
Which one is correct for \( \boldsymbol{H}_{2} \boldsymbol{O} \) at \( \boldsymbol{2} \boldsymbol{5}^{\boldsymbol{o}} \boldsymbol{C} \)
This question has multiple correct options
\( \mathbf{A} \cdot \) Ionic product of water, \( K_{w}=10^{-14} \)
B. Equilibrium constant for dissociation of water \( K_{c}= \) \( 1.8 \times 10^{-16} \)
C. Aotoprotolysis constant of water, \( K_{A P}=3.2 \times 10^{-18} \)
D. On heating \( K_{w} \) increases with temperature
Subject: Physics
A metal rod of length \( 10 \mathrm{cm} \) and a rectangular cross section of \( 1 \mathrm{cm} \times \frac{1}{2} \) \( \mathrm{Cm} \) is connected to a battery across opposite faces. The resistance will be.
A. Maximum when the battery is connected cross \( 1 \mathrm{cm} \) \( \times \frac{1}{2} \mathrm{cm} \) faces
B. Maximum when the battery is connected across \( 10 \mathrm{cm} \) \( \times 1 \mathrm{cm} \) faces
c. Maximum when the battery is connected across \( 10 \mathrm{cm} \) \( \times \frac{1}{2} \mathrm{cm} \) faces
D. Same irrespective of the three faces
Subject: Maths
In \( \Delta A B C, \) D and \( E \) are two mid points of
sides \( A B \) and \( A C \) respectively. If
\( \angle B A C=40^{\circ} \) and \( \angle A B C=65^{\circ}, \) then
\( \angle C E D \) is
A . 75
B. 125
\( c \cdot 130 \)
D. 105
Subject: Physics
A parallel plate condenser with oil between the plates (dielectric constant
of oil \( K=2 \) ) has a capacitance \( C . \) If the oil is removed, then capacitance of the capacitor becomes:
A \( \cdot \sqrt{2} C \)
B. 2C
c. \( \frac{c}{\sqrt{2}} \)
D. \( \frac{c}{2} \)
Subject: Maths
The sum \( \mathbf{V}_{\mathbf{1}}+\mathbf{V}_{\mathbf{2}}+\ldots+\mathbf{V}_{\mathbf{n}} \) is
A \( \cdot \frac{1}{12} \mathrm{n}(\mathrm{n}+1)\left(3 \mathrm{n}^{2}-\mathrm{n}+1\right) \)
B. \( \frac{1}{12} \mathrm{n}(\mathrm{n}+1)\left(3 \mathrm{n}^{2}+\mathrm{n}+2\right) \)
C \( \cdot \frac{1}{2} \mathrm{n}\left(2 \mathrm{n}^{2}-\mathrm{n}+1\right) \)
D \( \cdot \frac{1}{3}\left(2 \mathrm{n}^{3}-2 \mathrm{n}+3\right) \)
Subject: Maths
\( A \) and \( B \) are two independent events such that \( \boldsymbol{P}\left(\boldsymbol{A}^{\prime} \cap \boldsymbol{B}^{\prime}\right)=\frac{1}{6} \) and
\( P\left(A^{\prime}\right)=\frac{5}{24} . \) Then \( P(B) \) is equal to
\( A \cdot \frac{4}{5} \)
B.
\( c \cdot \frac{1}{5} \)
D.
Subject: Chemistry
Given reaction \( \boldsymbol{H} \boldsymbol{C} \boldsymbol{H} \boldsymbol{O} \rightarrow \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{O} \boldsymbol{H}+ \)
\( H C O O^{-} \) is an example of
A. intermolecular redox change
B. intramolecular redox change
c. disproportionation or auto redox
D. none of these
Subject: Maths
The area bounded by the curves \( y= \)
\( \cos x \) and \( y=\sin x \) between the ordinates \( \boldsymbol{x}=\mathbf{0} \) and \( \boldsymbol{x}=\frac{\mathbf{3} \boldsymbol{\pi}}{\mathbf{2}} \) is
A. \( (4 \sqrt{2}-2) \) sq units
B . \( (4 \sqrt{2}+2) \) sq units
c. \( (4 \sqrt{2}-1) \) sq units
D. \( (4 \sqrt{2}+1) \) sq units
Subject: Physics
A child weighing 25 kg slides down a
rope hanging from a branch of a tall free. If the force of friction acting
against him is \( 200 N \), the acceleration
of child is \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A \( \cdot 22.5 \mathrm{m} / \mathrm{s}^{2} \)
B . \( 8 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 5 m / s^{2} \)
D. \( 2 m / s^{2} \)
Subject: Physics
In YDSE distance between slits and
screen is \( 1.5 \mathrm{m} \). When light of wavelength 500nm is used then 2nd bright fringe is
obtained on screen at a distance of
10mm from the central bright fringe. What will be the shift in the 2nd bright fringe of the light of wavelength 550nm is used?
\( A \cdot 2 m m \)
B. \( 1 \mathrm{mm} \)
c. \( 1.5 \mathrm{mm} \)
D. \( 1.1 \mathrm{mm} \)
Subject: Physics
An equiconvex (biconvex) lens has
focus length \( f . \) It is cut into three parts
as shown in the figure. What is the focal length of the cut part I?
A . \( 3 f \)
B. \( \frac{f}{3} \)
\( c \cdot \frac{f}{2} \)
D. \( 2 f \)
Subject: Maths
If we throw a dice, then the sample
space, \( S=1,2,3,4,5,6 . \) Now the event
of 3 appearing on the dice is simple and given by
A. \( E=2,3 \)
В. \( E=1,2,3 \)
c. \( E=3 \)
D. \( E=1,3 \)
Subject: Maths
The equation of a straight line passing through the point (1,2) and inclined at
\( 45^{\circ} \) to the line \( y=2 x+1 \) is
A. \( 5 x+y=7 \)
в. \( 3 x+y=5 \)
c. \( x+y=3 \)
D. \( x-y+1=0 \)
Subject: Physics
A ball moving with a speed of \( 30 \mathrm{m} / \mathrm{s} \)
hits the wall and bounces back with
same speed. The contact time between the ball and the wall is 0.1 s. Calculate
the force exerted by the wall on the ball if mass of the ball is 0.25kg.
A. on
B. - 100N
c. - 300N
D. - 150N
E. \( 100 N \)
Subject: Physics
On the opposite sides of a wide vertical vessel filled with water two identical
holes are opened, each having the cross-sectional area \( S=0.50 \mathrm{cm}^{2} . \) The
height difference between them is
equal to \( \Delta h=51 \mathrm{cm} . \) If the resultant
force of reaction of the water flowing out
of the vessel is \( x N, \) find the value of \( 4 x \)
Subject: Maths
The vector sum of (N) coplanar forces, each of magnitude \( F, \) when each force is making an angle of
\( \frac{2 \pi}{N} \) with that preceding one, is :
\( A \cdot F \)
B. \( \frac{N F}{2} \)
c. \( \mathrm{NF} \)
D. zero
Subject: Maths
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\boldsymbol{x}+\mathbf{1}: & \boldsymbol{x} \leq \mathbf{1} \\ \boldsymbol{3}-\boldsymbol{a} \boldsymbol{x}^{2}: & \boldsymbol{x}>1\end{array}\right. \)
Find the value of \( a \) if \( f \) is continuous at
\( \boldsymbol{x}=\mathbf{1} \)
Subject: Physics
In the radioactive transformation
\[
\underset{Z}{A} \boldsymbol{X} \rightarrow_{Z+1}^{A} \boldsymbol{X}_{1} \rightarrow_{Z-1}^{A-4} \boldsymbol{X}_{2} \rightarrow_{Z}^{A-4} \boldsymbol{X}_{3}
\]
Which are the successively emitted radiactive radiation?
\( \mathbf{A} \cdot \beta^{-}, \alpha, \beta^{-} \)
B. \( \beta^{-}, \beta^{-}, \alpha \)
c. \( \alpha, \beta^{-}, \beta^{-} \)
D. \( \alpha, \alpha, \beta^{-} \)
Subject: Maths
The value of determinant \( \left|\begin{array}{lll}\mathbf{1} & \boldsymbol{x} & \boldsymbol{y}+\boldsymbol{z} \\ \mathbf{1} & \boldsymbol{y} & \boldsymbol{z}+\boldsymbol{x} \\ \mathbf{1} & \boldsymbol{z} & \boldsymbol{x}+\boldsymbol{y}\end{array}\right| \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( x+y+z \)
c. \( 1+x+y+z \)
D. \( (x-y)(y-z)(z-x) \)
Subject: Maths
The no. of ways can a group of 5 letters
be formed out of \( 5 a^{\prime} s, 4 b^{\prime} s, 3 c^{\prime} s .2 d^{\prime} s \)
and \( 1 e^{\prime} s \) is
A \( \cdot^{5} C_{4} \times 5 \)
B . \( ^{5} C_{4} \times 4 \)
c. 71
D. 75
Subject: Physics
A long straight charged wire has the electric field measured as \( 5 N / C \) and
pointing down at a distance of \( 10 \mathrm{cm} \)
above it.

What would the electric field measure
at \( 10 \mathrm{cm} \) below it?
A. \( 10 N / C \) toward the bottom of the screen
B. \( 5 N / C \) toward the bottom of the screenn
c. \( 10 N / C \) toward the top of the screen.
D. \( 5 N / C \) toward the top of the screen
Subject: Maths
Consider the following statements:
1. The function \( f(x)=x^{2}+2 \cos x \) is
increasing in the interval \( (0, \pi) \)
2. The function \( f(x)=\ln (\sqrt{1+x^{2}}-x) \)
is decreasing in the interval \( (-\infty, \infty) \) Which of the above statements is lare
correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2
Subject: Maths
If functions \( f, g: R \rightarrow R \) are defined as
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\mathbf{1}, \boldsymbol{g}(\boldsymbol{x})=\mathbf{2} \boldsymbol{x}-\mathbf{3}, \) then find
\( f o g(x), g o f(x) \) and \( g o g(3) \)
Subject: Maths
\( \tan ^{-1}(-2) \) is equal to
A \( \cdot-\cos ^{-1}\left(\frac{-3}{5}\right) \)
в. \( _{\pi}+\cos ^{-1} \frac{3}{5} \)
c. \( -\frac{\pi}{2}+\tan ^{-1} x\left(-\frac{3}{5}\right) \)
D. none of these
Subject: Maths
In the pentagon \( A B C D E \) shown above,
the measures of angles \( A, E \) and \( C \) are
given. It is known that the measures of
angles \( B \) and \( D \) are equal.Then which of
the following is true?
\( \mathbf{A} \cdot \overline{A B} \| \overline{C D} \)
\( \mathbf{B} \cdot \overline{B C} \| \overline{A E} \)
\( \mathbf{c} \cdot \overline{A B} \| \overline{D E} \)
D. \( \overline{C D} \| \overline{A E} \)
Subject: Chemistry
Which of the following will have two stereoisomeric forms?
(I) \( \left[\boldsymbol{C r}\left(\boldsymbol{N O}_{3}\right)_{3}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{3}\right] \)
(II) \( \boldsymbol{K}_{\mathbf{3}}\left[\boldsymbol{F} \boldsymbol{e}\left(\boldsymbol{C}_{2} \boldsymbol{O}_{4}\right)_{3}\right] \)
(III) \( \left[\boldsymbol{C o C l}_{2}(\boldsymbol{e n})_{2}\right]^{+} \)
\( (\operatorname{lv})\left[\operatorname{CoBr} C l(O x)_{2}\right]^{3-} \)
A . I only
B. I and II
c. Ill and IV
D. All of these
Subject: Physics
In the magnetic meridian of a certain
place the horizontal component of earth's magnetic field is \( 0.25 \mathrm{G} \) and dip
angle is \( 60^{\circ} . \) The magnetic field of the earth at this location is?
A. 0.50 G
B. 0.52 G
c. 0.54 G
D. 0.56 G
Subject: Chemistry
A mixture of formic acid and oxalic acid
is heated with conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \). The gas
produced is collected and treated with OH solution whereby the volume decreases by \( \frac{1}{6} \) th. The molar ratio of the two acids (formic acid/oxalic acid) is
\( \boldsymbol{x}: \boldsymbol{y} . \) The value of \( (\boldsymbol{x}+\boldsymbol{y}) \) is :
Subject: Maths
Let \( f(x)=\frac{\sqrt{x-2 \sqrt{x-1}}}{\sqrt{x-1}-1} \cdot x, \) then
This question has multiple correct options
B . \( f^{\prime}(3 / 2)=-1 \)
c. domain of \( f(x) \) is \( x \geq 1 \)
D. none of these
Subject: Physics
An infinite sheet carrying a uniform surface charge density \( \sigma \) lies on the \( x y- \) plane. The work done to carry a charge \( q \) from the point \( \vec{A}=a(\hat{i}+2 j+3 \hat{k}) \) to point \( \vec{B}=a(\hat{i}-2 \hat{j}+6 \hat{k}) \) (where a is
constant with the dimension of length
and \( \varepsilon_{0} \) is the permittivity of free space)
is :
A. \( \frac{3 \sigma a q}{2 \varepsilon_{0}} \)
В \( \cdot \frac{2 \sigma a q}{\varepsilon_{0}} \)
c. \( \frac{5 \sigma a q}{2 \varepsilon_{0}} \)
D. \( \frac{3 \sigma a q}{\varepsilon_{0}} \)
Subject: Chemistry
\( \boldsymbol{P b}(s)\left|\boldsymbol{P b S O}_{4}(\boldsymbol{s})\right| \boldsymbol{N a H S O}_{4}(\mathbf{0 . 6 0 0} \boldsymbol{M}) \mid \)
The voltage of the cell in \( V \) is \( E= \)
\( +0.061 V . \) Calculates \( K_{2}= \)
\( \left[\boldsymbol{H}^{+}\right]\left[\boldsymbol{S O}_{4}^{2-}\right] /\left[\boldsymbol{H} \boldsymbol{S O}_{4}^{-}\right], \) the
dissociation constant for \( \boldsymbol{H} \boldsymbol{S O}_{\mathbf{4}}^{-} \)
\( \operatorname{Given} \boldsymbol{P b}(\boldsymbol{s})+\boldsymbol{S O}_{4}^{2-} \rightarrow \boldsymbol{P b S O}_{4}+ \)
\( \mathbf{2} e^{-}\left(\boldsymbol{E}^{\circ}=\mathbf{0 . 3 5 6} \boldsymbol{V}\right), \boldsymbol{E}^{\circ}\left(\boldsymbol{P b}^{2+} / \boldsymbol{P b}\right)= \)
\( -0.126 V \)
Multiply the answer by 100 and fill in the blank. (write the value to the nearest
integer)
Subject: Physics
A carnot engine having an efficiency of \( \frac{1}{10} \) as heat engine, is used as a refrigerator. If the work done on the system is \( 10 J \), the amount of energy
absorbed from the reservoir at lower
temperature is :
\begin{tabular}{l} 
A. \( 100 J \) \\
\hline
\end{tabular}
в. \( 1 . \)
c. \( 90 J \)
D. \( 99 . J \)
Subject: Physics
One mole of an ideal monoatomic gas is
heated at a constant pressure of one
atmosphere from \( 0^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \). Then the change in the internal energy is :
A \( .20 .80 \times 10^{2} J \)
\( J \)
B . \( 12.48 \times 10^{2} J \)
c. \( 832 \times 10^{2} J \)
D. \( 6.25 \times 10^{2} J \)
Subject: Physics
1 calorie \( = \)
A. amount of heat energy required to transform \( 1 \mathrm{kg} \) of ice into water at \( 0^{\circ} \mathrm{C} \)
B. amount of heat energy required to raise the temperature of \( 1 k g \) of water through \( 1^{\circ} C \)
C. amount of heat required to raise the temperature of \( 1 g \) of water through \( 1^{\circ} \mathrm{C} \)
D. quantity of work done at atmospheric pressure
Subject: Maths
Integrate:
\( \int\left(a^{x}+x^{a}+a^{a}\right) d x \)
A. \( -\frac{a^{x}}{\ln a}-\frac{x^{a+1}}{a+1}+a^{a} x+c \)
B. \( a^{x}+\frac{x^{a+1}}{a+1}+a^{a} x+c \)
c. \( \frac{a^{x}}{\ln a}+x^{a+1}+a^{a} x+c \)
D. \( \frac{a^{x}}{\ln a}+\frac{x^{a+1}}{a+1}+a^{a} x+c \)
Subject: Chemistry
Assertion
Solids in finely divided state act as
good adsorbents.
Reason
Adsorption is a surface phenomenon.
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
De-Broglie wavelength of electron in \( n \) th orbit of \( \boldsymbol{H}- \) atom is \( (\mathbf{3 . 1 8} \boldsymbol{\pi}) \boldsymbol{A} . \) The value
of \( n \) is:
\( A \cdot 1 \)
B . 2
\( c \cdot 3 \)
D. 4
Subject: Chemistry
Balance the chemical reaction of
laboratory preparation method of dihydrogen:
A. \( Z n+2 H^{+} \rightarrow Z n^{2+}+H_{2} \)
B. \( Z n^{2+}+2 H^{-} \rightarrow Z n+H_{2} \)
c. \( Z n^{2+}+2 H^{+} \rightarrow Z n^{2+}+H_{2} \)
D. None of the above
Subject: Chemistry
Statement I : Deuterium and hydrogen
are different elements.

Statement II: They have the different numbers of protons in each
A. Statement I is True, Statement II is True and statement I is correct explanation of statements
B. Statement I is True, Statement II is True and statement II is NOT correct explanation of statements
c. Statement I is True, Statement II is False
D. Statement I is False, Statement II is True
E. Statement I is False, Statement II is False
Subject: Physics
In the figure the position time graph of a particle of mass \( 0.1 \mathrm{kg} \) is shown. Find
the impulse at \( t=4 \sec : \)
A. \( 0.2 \mathrm{kgcms}^{-1} \)
в. \( -0.2 \mathrm{kgcms}^{-1} \)
c. \( 0.1 \mathrm{kg} \mathrm{cms}^{-} \)
D. - \( 0.4 \mathrm{kgcms}^{-} \)
Subject: Maths
Solve the differential equation: \( \frac{\boldsymbol{d} z}{\boldsymbol{d} \boldsymbol{x}}+ \) \( \frac{z}{x} \log z=\frac{z}{x^{2}}(\log z)^{2} \)
A \( \cdot \frac{1}{-x \log z}=\frac{1}{2 x^{2}}-c \)
в. \( \frac{1}{x \log z}=\frac{1}{2 x^{-2}}-c \)
c. \( \frac{1}{x \log z}=\frac{-1}{2 x^{2}}-c \)
D. \( \frac{1}{x \log z}=\frac{1}{2 x^{2}}-c \)
Subject: Chemistry
For the reaction \( 5 B r^{-1}(a q)+ \)
\( 6 H^{+}(a q)+B r O_{3}^{-}(a q) \rightarrow 3 B r_{2}(a q)+ \)
\( \mathbf{3} \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
\( \mathrm{f},-\frac{\Delta\left[B r O_{3}^{-}\right]}{\Delta t}= \)
\( 0.01 m o l L^{-1} m i n^{-1}, \frac{\Delta\left[B r_{2}\right]}{\Delta t} \) in
\( \operatorname{mol} L^{-1} \min ^{-1} \) is :
A. 0.0
B. 0.3
c. 0.03
D. 0.005
Subject: Physics
The angular momentum of an electron
in the first orbit of \( L i^{++} \) ion is
A \( \cdot \frac{3 h}{2 \pi} \)
в. \( \frac{9 h}{2 \pi} \)
c. \( \frac{h}{2 \pi} \)
D. \( \frac{3 h}{6 \pi} \)
Subject: Physics
Assertion
Bending a wire does not effect electrical
resistance
Reason
Resistance of wire is proportional to
resistivity of material
A. Both Assertion and Reason are correct and Reason is
the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Physics
A body of mass \( 1 k g \) is moving with
velocity \( 30 m s^{-1} \) due north. It is acted on by a force of \( 10 \mathrm{N} \) due west for 4
seconds. Find the velocity of the body after the forces cases to act.
A \( \cdot 50 \mathrm{m} / \mathrm{s} ; \tan ^{-1}\left(\frac{3}{4}\right) \)
в. \( _{100} m / s ; \tan ^{-1}\left(\frac{4}{3}\right) \)
c. \( 50 \mathrm{m} / \mathrm{s} ; \tan ^{-1}\left(\frac{3}{5}\right) \)
D. \( 100 \mathrm{m} / \mathrm{s} ; \tan ^{-1}\left(\frac{4}{5}\right) \)
Subject: Chemistry
Assertion: Electrode potential for the
electrode \( M^{n+} \mid M \) with concentration
is given by the expression under STP conditions; \( \boldsymbol{E}=\boldsymbol{E}^{\ominus}+\frac{\mathbf{0 . 0 5 9}}{\boldsymbol{n}} \log \left[\boldsymbol{M}^{\boldsymbol{n}+}\right] \)
Reason: STP conditions require the
temperature to be \( 273 \mathrm{K} \)
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: Maths
Differentiate the following functions
with respect to \( x \) :
If \( y=\tan ^{-1}\left(\frac{2 x}{1-x^{2}}\right), x>0, \) prove
that \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{4}}{\boldsymbol{1}+\boldsymbol{x}^{2}} \)
Subject: Chemistry
Two elements \( X \) and \( Y \) contain only one
electron in the outer level. Element \( X \) is
reactive and loses electron easily while element \( Y \) is relatively unreactive and
non-corrosive. The elements \( \boldsymbol{X} \) and \( \boldsymbol{Y} \)
respectively are:
\( \mathbf{A} \cdot C s \) and \( L i \)
B. \( R b \) and \( N a \)
c. \( L i \) and \( C u \)
D. \( A g \) and \( A u \)
Subject: Chemistry
The standard emf for the cell reaction,
\( Z n+C u^{2+} \rightarrow Z n^{2+}+C u \)
is 1.10 volt at \( 25^{\circ} \mathrm{C} \). The emf for the cell
reaction when \( 0.1 M C u^{2+} \) and
\( 0.1 M Z n^{2+} \) solutions are used at \( 25^{\circ} \mathrm{C} \)
is:
A. 1.10 volt
B. 0.110 volt
c. -1.10 volt
D. -0.110 volt
Subject: Chemistry
The complex ion in the compound
\( \boldsymbol{C s}\left[\boldsymbol{M n F}_{4}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{2}\right] \) is octahedral and
high spin. The name of the compound is
A \cdot cesiumdiaquatetrafluoridomanganese \( (I I I) \)
B . cesiumdiaquatetrafluoridomanganate \( (I I I) \)
C . cesiumdiaquatetrafluoridomanganese (IV)
D. cesiumdiaquatetrafluoridomanganate (IV)
Subject: Physics
Two coherent sources of wavelength \( 6.2 \times 10^{-7} \mathrm{m} \) produce interference. The
path difference corresponding to \( 10^{t h} \) order maximum will be?
A \( .6 .2 \times 10^{-6} \mathrm{m} \)
В. \( 3.1 \times 10^{-6} \mathrm{m} \)
c. \( 1.5 \times 10^{-6} \mathrm{m} \)
D. \( 12.4 \times 10^{-6} \mathrm{m} \)
Subject: Chemistry
The solubility of silver bromide in hypo
solution is due to the formation of:
A. \( A g_{2} S O_{3} \)
B. \( A g_{2} S_{2} O_{3} \)
\( \mathbf{c} \cdot\left[A g\left(S_{2} O_{3}\right)\right] \)
D. \( \left[A g\left(S_{2} O_{3}\right)_{2}\right]^{3} \)
Subject: Physics
A radio transmitter operates at a frequency of \( 880 \mathrm{kHz} \) and power of 10 kW. The number of photons emitted per second is :
\( \mathbf{A} \cdot 13.27 \times 10^{4} \)
B. \( 13.27 \times 10^{3} \)
c. \( 1327 \times 10^{34} \)
D. \( 1.71 \times 10^{31} \)
Subject: Chemistry
Kinetic energy of 1 mole of an ideal gas is:
\( ^{\mathbf{A}} \cdot \frac{3}{2}^{R T} \)
в. \( \frac{3}{2}^{K T} \)
c. \( \frac{R T}{2} \)
D. \( \frac{2 R}{3} \)
Subject: Maths
Suppose that the reliability of a HIV test is specified as follows:Of people having HIV, \( 90 \% \) of the test detect the disease
but \( 10 \% \) go undetected. Of people free of \( \mathrm{HIV}, 99 \% \) of the test are judged HIV-ive but \( 1 \% \) are diagnosed as showing HIV+ive. From a large population of which only \( 0.1 \% \) have \( \mathrm{HIV} \), one person is selected at random, given the HIV test, and the pathologist reports him/her as HIV+ive. What is the probability that the
person actually has HIV?
Subject: Maths
Albert buys 4 horses and 9 cows for Rs.
\( 13400 . \) If he sells the horses at \( 10 \% \)
profit and the cows at \( 20 \% \) profit, then
he earns a total profit of Rs. 1880. The \( \operatorname{cost} \) of a horse is
A. Rs. 1000
B. Rs. 2000
c. Rs. 2500
D. Rs. 3000
Subject: Chemistry
Select the correct statements.
This question has multiple correct options
A. Oxides of boron \( \left(B_{2} O 3\right) \) and silicon \( \left(S i O_{2}\right) \) are acidic in nature.
B. Oxides of aluminium \( \left(A l_{2} O_{3}\right) \) and gallium \( \left(G a_{2} O_{3}\right) \) are amphoteric in nature.
C. Oxides of indium \( \left(I n_{2} O_{3}\right) \) and thallium \( \left(T l_{2} O_{3}\right) \) are basic in nature.
D. Oxides of germanium \( \left(G e O_{2}\right) \) and tin \( \left(S n O_{2}\right) \) are acidic in nature.
Subject: Maths
Find the value of
\( \frac{\sqrt{1+\sin 2 A}+\sqrt{1-\sin 2 A}}{\sqrt{1+\sin 2 A}-\sqrt{1-\sin 2 A}} \) when
\( |\tan A|<1 \) and \( |A| \) is acute
\( \mathbf{A} \cdot \tan A \)
B. \( -\tan A \)
\( c \cdot \cot A \)
D. - cot \( A \)
Subject: Biology
Find the correct combination
(A) DCMU- \( \ldots \). Herbicide... non-cyclic electron transport
(B) PMAtranspiration
(C) Colchicine.
male sterility
(D) Solnite-Sodium
alginate..........Encapsulation of somatic embryos.
A \( \cdot a, b \)
в. \( a, c \)
\( c \cdot b, c \)
D. b.d
Subject: Physics
Luke Autbeloe drops a pile of roof shingles from the top of a roof located
8.52 meters above the ground. Determine the time required for the shingles to reach the ground.
\( \mathbf{A} \cdot 1 s \)
в. 1.32
c. \( 1.3 s \)
D. \( 1.2 s \)
Subject: Chemistry
Due to hectic and busy schedule, Mr. Angad made his life full of tensions and
anxiety. He started taking sleeping pills to overcome the depression without consulting the doctor. Mr. Deepak, a close friend of Mr. Angad, advised him to stop taking sleeping pills and suggested to change his lifestyle by doing Yoga, meditation and some physical exercise. Mr. Angad followed his friend's advice and after few days he
started feeling better. After reading the above passage, answer the following:
(i) What are the values (at least two)
displayed by Mr. Deepak?
(ii) Why is it not advisable to take
sleeping pills without consulting
doctor?
(iii) What are tanquilizers? Give two examples.
Subject: Maths
A wall 5 m long, \( 30 \mathrm{cm} \) wide and \( 4 \mathrm{cm} \)
height is made of bricks, each measuring \( (22 c m \times 12.5 c m \times \)
12.5cm \( ) . \) If \( \frac{1}{12} \) of the total volume of the
wall consists of motor, how many bricks
are there in the wall?
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}}{\sqrt{\boldsymbol{x}+1}-\sqrt{\boldsymbol{x}}} \) be a real
values function
then
\( A \cdot f(x) \) is continuous, but \( f^{\prime}(0) \) does not exist
B. \( f(x) \) is differentiable at \( x=0 \)
\( \mathrm{c} \cdot \mathrm{f}(\mathrm{x}) \) is not continuous at \( x=0 \)
D. \( f(x) \) is not differentiable at \( x=0 \)
Subject: Physics
There is an equiconvex lens of focal length of \( 20 \mathrm{cm} \). If the lens is cut into tow equal parts perpendicular to the optical axis, the focal length of each part will be
A. \( 20 \mathrm{cm} \)
B. 10 \( \mathrm{cm} \)
c. \( 40 \mathrm{cm} \)
D. \( 15 \mathrm{cm} \)
Subject: Physics
1g of ice at \( 0^{0} \mathrm{C} \) is mixed \( 1 \mathrm{g} \) of steam at
\( 100^{0} \mathrm{C} . \) The mass of water formed is
A. \( 0.33 \mathrm{g} \)
в. 18
c. 0.1338
D. \( 13.3 \mathrm{g} \)