AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
In Lassaigne's test, if both \( N \) and \( S \) are
present in the organic compound, they
are converted to:
A. \( N a_{2} S \) and \( N a C N \)
B. \( N a S C N \)
c. \( N a_{2} S O_{3} \) and \( N a C N \)
D. \( N a_{2} S \) and \( N a C N O \)
Subject: Physics
The graph is drawn between \( \sqrt{\boldsymbol{K} \boldsymbol{E}} \)
\& momentum of a body taking on \( \times 8 \) y-axis respectively, having inclination
\( 60^{\circ} . \) Then the mass of the body is?
\( ^{\mathbf{A}} \cdot \frac{3}{2} k g \)
в. \( 6 k g \)
\( \mathrm{c} \cdot 3 \mathrm{kg} \)
D. \( 18 k g \)
Subject: Chemistry
The standard electrode potentials of \( Z n \)
and \( N i \) respectively are \( -0.76 \mathrm{V} \) and
\( -0.25 \mathrm{V} . \) Then the standard emf of the
spontaneous cell by coupling these under standard conditions is:
\( A \cdot+1.01 v \)
B. - 0.51 V
\( c \cdot+0.82 v \)
\( D \cdot+0.25 v \)
\( \mathrm{E} \cdot+0.51 \mathrm{v} \)
Subject: Chemistry
In which of the following complexes
more than one type of structural isomerism is possible? This question has multiple correct options
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5}\left(N O_{2}\right)\right] C l \)
B . \( \left[\operatorname{Co}\left(N H_{3}\right)_{5}\left(H_{2} O\right)\right]\left(N O_{2}\right)_{3} \)
\( \mathbf{c} \cdot\left[P t\left(N H_{3}\right)_{4}\right]\left[P t(S C N)_{4}\right] \)
\( \mathbf{D} \cdot\left[C r(D M G)_{3}\right] \)
Subject: Chemistry
toppr
Q Type your question.
them in a sequence.
(a) Thus, an electron pair is shared between \( C \) and \( C l . \) This is the Lewis
electron dot diagram for \( \boldsymbol{C C l}_{4} \)
(b) Write the symbol of chlorine and
represent its valence electrons with the help of crosses, that is,
(c) Write the symbol of carbon and represent its valence electrons with the
help of dots, that is,
(d) When carbon combines with four
chlorine atoms, the carbon atom contributes four electrons for sharing whereas each chlorine atom
contributes only one electron for
sharing. Thus, both the atoms in \( C C l_{4} \)
attain an octet.
(c)
\( A \cdot a \cot d \)
B. b a c d
\( c \cdot d c b a \)
\( D \cdot c b d a \)
Subject: Maths
\( \sum_{k=1}^{2 n+1}(-1)^{k-1} k^{2}= \)
\( \mathbf{A} \cdot(n+1)(2 n+1) \)
B. \( (n+1)(2 n-1) \)
\( \mathbf{c} \cdot(n-1)(2 n-1) \)
D. \( (n-1)(2 n+1) \)
Subject: Chemistry
In the following sequence of reaction, all stereoisomers of (X) have been taken. \( \boldsymbol{C H}_{3}-\boldsymbol{C H}-\boldsymbol{C H}=\boldsymbol{C H}-\boldsymbol{C}_{D} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{I} \)
\( (x) \)
\( (\boldsymbol{Y}) \stackrel{N \boldsymbol{H}_{2} \boldsymbol{O} \boldsymbol{H}}{\longrightarrow}(\boldsymbol{Z}) \)
Here,
\( \mathrm{Q}= \) Total number of stereoisomers of \( \mathrm{Y} \)
\( \mathrm{R}= \) Total number of stereoisomers of \( \mathrm{Z} \).
Find out \( Q \) and \( R \)
A \( . \mathrm{Q}=1, \mathrm{R}=2 \)
B . Q=2, R=3
c. \( Q=2, R=4 \)
D. \( Q=3, R=1 \)
Subject: Physics
\( \Delta C_{p} \) for change \( N_{2}(g)+3 H_{2}(g)= \)
\( \mathbf{2} N \boldsymbol{H}_{3}(\boldsymbol{g}) \) is:
\( \mathbf{A} \cdot C_{p N H_{3}}-\left(C_{p N_{2}}\right) \)
B . \( 2 C_{p N H_{3}}-\left(C_{p N_{2}}+3 C_{p H_{2}}\right) \)
\( \mathbf{c} \cdot 2 C_{p N H_{3}}-\left(C_{p H_{2}}\right) \)
D \( \cdot 2 C_{p N H_{3}}+\left(C_{p N_{2}}+3 C_{p H_{2}}\right) \)
Subject: Physics
In an atom, there is \( 1 p^{+} \) and \( 1 e^{-} . \) If \( e^{-} \)
revolves around the \( p^{+} \) then angular velocity is proportional to:
\( \mathbf{A} \cdot r \)
в. \( r^{3} \)
c. \( \frac{1}{r^{3 / 2}} \)
D. \( \frac{1}{r^{2}} \)
Subject: Maths
If \( \theta_{1}, \theta_{2}, \theta_{3}, \ldots . \theta_{n} \) are in \( A . P ., \) then
\( \frac{\sin \theta_{1}+\sin _{2}+\ldots+\sin \theta_{n}}{\cos \theta_{1}+\cos \theta_{2}+.+\cos \theta_{n}}= \)
\( A \cdot 0 \)
B \( \cdot \tan \left(\theta_{1}+\theta_{n}\right) \)
c. \( \tan \left(\frac{\theta_{1}+\theta_{n}}{2}\right) \)
D. \( \tan \left(\frac{\theta_{n}-\theta_{1}}{2}\right) \)
Subject: Physics
f some charge is given to a solid metallic sphere, the field inside remains zero and by Gauss's law all the charge resides on the surface. Suppose now that Coulomb's force between two
charges varies as \( 1 / r^{3} . \) Then, for a charged solid metallic sphere
A . field inside will be zero and charge density inside will be zero
B. field inside will not be zero and charge density inside will not be zero
c. field inside will not be zero and charge density inside will be zero
D. field inside will be zero and charge density inside will not be zero
Subject: Physics
A gas is filled in a container at pressure
\( P_{0} . \) If the mass of molecules is halved
and their rms speed is doubled, then the resultant pressure would be.
\( \mathbf{A} \cdot 2 P_{0} \)
в. \( 4 P_{0} \)
c. \( \frac{P_{0}}{4} \)
D. \( \frac{P_{0}}{2} \)
Subject: Physics
Q Type your question
acceleration. As the object moves, the
group measures several quantities about the object's motion. As part of their data analysis, the group plots pairs of quantities in an attempts to understand relationships between their
measurements. In addition to plotting quantities that they directly measured, the group also plots manipulated versions of their measured quantities. The group is ultimately able to describe several linear relationship between
measured and manipulated quantities because several of the plots show
straight-line trends. Three of the pairs of quantities listed below yield a straight-
line graph for the group when plotted against each other. Which one of the following option does NOT yield a straight-line graph when plotted?
A. Time and Speed
B. Displacement and Speed \( ^{2} \)
c. \( \quad \) Time and Displacement
D. speed and Time \( ^{2} \)
Subject: Physics
Position-time graph is shown, which is
a semicircle from \( t=2 \) to \( t=8 \) sec.
Find time \( t \) at which the instantaneous
velocity, is equal to average velocity
over first \( t \) seconds
A . \( 4.8 \mathrm{sec} \)
B. 3.2 sec
\( c .2 .4 \mathrm{sec} \)
D. 5 sec
Subject: Chemistry
Assertion
\( M g \) get oxidized, when heated in \( C O_{2} \)
atmosphere.
Reason
\( M g \) has strong affinity to oxygen.
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: Physics
A unıtorm magnetıc tıeld, tılls
cylindrical volume of radius \( 10 \mathrm{cm} \) as
shown is figure. If the magnitude of
magnetic field increases in the
direction of field at a constant rate of
10T/s then the emf induced in the rod
AB is:
A \( .24 \mathrm{mV} \)
3. \( 96 \mathrm{mV} \)
\( c .48 m v \)
\( D \)
Subject: Physics
Two blocks \( A \) and \( B \) of mass \( m \) and \( 2 m \)
respectively are moving towards a massive (mass \( >>2 m \) ) cliff with
velocities \( 2 v \) and \( v \) respectively. The cliff moves with a velocity \( v \). If the
coefficient of restitution of collision at the surface of the cliff is \( e=\frac{1}{2} . \) If the velocity of the block \( B \) just after colliding with the cliff is \( \frac{v}{x}, \) find the
value of \( \boldsymbol{x} \)
Subject: Maths
Find the area of a parallelogram with a base of \( 200 \mathrm{cm} \) and height of \( 2.5 \mathrm{cm} \)
в. \( 510 \mathrm{cm}^{2} \)
\( \mathrm{c} \cdot 520 \mathrm{cm}^{2} \)
D. \( 300 \mathrm{cm}^{2} \)
Subject: Chemistry
On adding 0.04 g solid \( N a O H \) to a 100 \( \mathrm{ml} \frac{M}{200} B a(O H)_{2} \) solution, determine change in \( p H \)
\( A \cdot O \)
\( B .+0.3 \)
\( c \cdot-0.3 \)
\( D \ldots+0.7 \)
Subject: Chemistry
This conversion can be achieved by :
A \( \cdot \operatorname{NaNH}_{2}, C H_{3} C H O \)
B. \( \operatorname{NaNH}_{2}, C H_{3}-C H_{2}-C H_{2}-B r \)
c. КОН\( , \)СН\( _{3}- \)СН\( _{2}- \)Вг
D.
Subject: Chemistry
Which of the following methods is/are correct for the synthesis of :
A. \( \mathrm{PhBr} \frac{(1) \mathrm{Li}(2) \mathrm{CuII}(3) \mathrm{Pr} \mathrm{COC}}{(4) 2 \mathrm{n}-\mathrm{Hg} / \mathrm{HCl}} \)
B. \( \mathrm{PhCOPr} \quad \) Zn-Hg/HCl
\( c \)
\( \mathrm{PhCOPr} \frac{\mathrm{NH}_{2} \mathrm{NH}_{2}}{_{\mathrm{OH}, \Delta}^{\circ}} \)
\( D \)
Subject: Physics
A Gardner waters the plants by a pipe of
diameter 1 mm. The water comes out at
the rate or \( 10 \mathrm{cm}^{3} / \) sec. The reaction force exerted on the hand of the Gardner
is:
A. 0 N
В. \( 1.27 \times 10^{-2} N \)
c. \( 1.27 \times 10^{-4} N \)
D. 0.127
Subject: Physics
The potential energy of a particle in a space is given by \( U=x^{2}+y^{2} \). Find the
force associated with this potential
energy:
A \( .-2 x \hat{i}-2 y \hat{j} \)
B . \( 2 x \hat{i}-2 y \hat{j} \)
c. \( -2 x \hat{i}+2 y \hat{j} \)
D. \( 2 x \hat{i}+2 y \hat{j} \)
Subject: Physics
Which of the following functions of time represent (a) periodic and (b) nonperiodic motion? Give the period for each case of periodic motion. \( [\omega \) is any positive constant].
A \( \cdot \frac{2 \pi}{\omega} \)
B. \( \sin \omega t+\cos 2 \omega t+\sin 4 \omega t \)
\( c \cdot e^{-\omega t} \)
\( \mathbf{D} \cdot \log (\omega t) \)
Subject: Maths
If \( f(x)=\cos (\log x), \) then \( f(x) f(y)- \)
\( \frac{1}{2}\left[f\left(\frac{x}{y}\right)+f(x y)\right] \) is equal to
\( A \)
B. \( \frac{1}{2} \)
\( c .-2 \)
\( D \)
Subject: Maths
f \( 2 s=a+b+c, \) prove that \( \left|\begin{array}{ccc}a^{2} & (s-a)^{2} & (s-a)^{2} \\ (s-b)^{2} & b^{2} & (s-b)^{2} \\ (s-c)^{2} & (s-c)^{2} & c^{2}\end{array}\right| \)
\( =2 s^{3}(s-a)(s-b)(s-c) \)
Subject: Chemistry
Assertion(A): The basicity of
orthophosphours acid is two
Reason (R): In orthophosphorous acids,
two re-placeable hydrogen atoms are
present.
A. Both (A) and (R) are true and (R) is the correct
explanation of \( (A) \)
B. Both (A) and (R) are true and (R) is not the
correct explanation of \( (A) \)
C. (A) is true and (R) is false
D. (A) is false but (R) is true
3
Subject: Chemistry
\( \boldsymbol{P t}\left|\left(\boldsymbol{H}_{2}\right)\right| \boldsymbol{p} \boldsymbol{H}=\boldsymbol{2} \| \boldsymbol{p} \boldsymbol{H}=\boldsymbol{3} \mid\left(\boldsymbol{H}_{2}\right) \boldsymbol{P} \boldsymbol{t} . \) The
cell reaction for the given cell is :
A. spontaneous
B. non-spontaneous
c. equilibrium
D. None of the above
Subject: Chemistry
On mixing, heptane and octane form an
ideal solution. At \( 373 \mathrm{K} \), the vapour pressures of the two liquid components (heptane and octane) are 105 kPa and
45 kPa respectively. Vapour pressure of the solution obtained by mixing 25.0 gm of heptane and 35 gm of octane will be:(molar mass of heptane \( = \)
\( 100 \mathrm{gmo} 1^{-1} \) and of octane \( = \)
\( \left.114 \operatorname{gmol}^{-1}\right) \)
\( \mathbf{A} \cdot 72.0 \mathrm{kPa} \)
B . \( 36.1 \mathrm{kPa} \)
c. \( 96.2 \mathrm{kPa} \)
D. \( 144.5 \mathrm{kPa} \)
Subject: Chemistry
The most basic oxide among
\( M n O, M n_{2} O_{3}, M n O_{2} \) and \( M n_{2} O_{7} \) is :
\( \mathbf{A} \cdot M n O \)
в. \( M n O_{2} \)
\( \mathrm{c} \cdot M n_{2} O_{3} \)
D. \( M n_{2} O_{7} \)
Subject: Chemistry
Which of the following statements
regarding hydrogen peroxide is/are incorrect?
This question has multiple correct options
A. The two hydroxy groups in hydrogen peroxide lie in the same plane
B. Aqueous solution of \( H_{2} O_{2} \) turns blue litmus red
C. When \( H_{2} O_{2} \) behaves as a reducing agent, the \( O-O \)
bond in its molecules is not broken down
D. Aqueous solution of \( H_{2} O_{2} \) is stored in plastic bottles and some urea, phosphoric acid or glycerol is added to that solution
Subject: Physics
A conducting rod \( P Q \) of length \( 5 \mathrm{m} \)
oriented as shown in figure is moving with velocity (2 \( \mathrm{m} / \mathrm{s} \) ) in rotation in a uniform magnetic field \( (3 \hat{j}+4 \hat{k}) \) Tesla.
The emf induced in the rod is
A. 32 volts
B. 40 volts
c. 50 volts
D. none
Subject: Maths
The height of a parallelogram of area \( 350 c m^{2} \) and base \( 25 \mathrm{cm} \) is
\( A \cdot 12 \mathrm{cm} \)
B. \( 13 \mathrm{cm} \)
c. \( 14 \mathrm{cm} \)
D. \( 15 \mathrm{cm} \)
Subject: Physics
A cylinder is rolling without sliding over
two horizontal planks (surfaces) 1 and 2
If the velocities of the surfaces \( A \) and \( B \)
are \( -\boldsymbol{v} \hat{\boldsymbol{i}} \) and \( 2 \boldsymbol{v} \hat{\boldsymbol{i}} \) respectively. Then
This question has multiple correct options
A \( \cdot \) position of instantaneous axis of rotation is \( \frac{2 R}{3} \)
B. position of instantaneous axis of rotation is \( \frac{4 R}{3} \)
c. angular velocity of the cylinder is \( 5 v / 2 R \)
D. angular velocity of the cylinder is \( 3 v / 2 R \)
Subject: Maths
Jacob bought a scooter for a certain
sum of money. He spent \( 10 \% \) of the cost on repairs and sold the scooter for a
profit of Rs. 1100. How much did he spend on repairs if he made a profit of \( 20 \% \)
A . Rs. 400
B. Rs. 440
c. Rs. 500
D. Rs. 550
Subject: Maths
D.E whose solution is \( \boldsymbol{y}= \)
\( e^{x}\left(c_{1} \cos 2 x+c_{2} \sin 2 x\right): \)
\( \mathbf{A} \cdot y_{2}-2 y_{1}+5 y=0 \)
B . \( y_{2}-6 y_{1}+4 y=0 \)
c. \( y_{2}-5 y_{1}+2 y=0 \)
D. \( y_{2}-y_{1}+4 y=0 \)
Subject: Physics
A thin uniform disc of mass \( M \) and
radius \( R \) is rotating in a horizontal
plane about an axis passing through its centre and perpendicular to it with angular velocity \( \omega . \) Another disc of the same radius but of mass \( \frac{M}{4} \) is placed gently on the first disc coaxially. The angular velocity of the system will now finally change to:
A \( \cdot \frac{2 \omega}{\sqrt{5}} \)
в. \( \frac{2 \omega}{5} \)
c. \( \frac{3 \omega}{5} \)
D. \( \frac{4 \omega}{5} \)
Subject: Maths
Assertion \( (A): \) The eccentricity of an ellipse is \( \frac{\mathbf{3}}{\mathbf{5}} \)
Reason \( (\boldsymbol{R}): \) The equation of the ellipse is \( x=5 \cos \theta, y=4 \sin \theta \)
A. Assertion and reason both are correct and reason is an explanation.
B. Assertion and reason both are correct and reason is not an explanation
c. Assertion is incorrect and reason is correct
D. Assertion is correct and reason is incorrect
Subject: Chemistry
Consider following complexes:
I: \( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{2+} \)
\( \|:\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\boldsymbol{6}}\right]^{4-} \)
\( \| I:\left[N i(C O)_{4}\right] \)
\( \mid V:\left[N i\left(H_{2} O\right)_{4}\right]^{2+} \)
\( \mathbf{V}:\left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{N})_{4}\right]^{2-} \)
Out of this, select the complexes with
octahedral geometry :
This question has multiple correct options
\( \mathbf{A} \cdot\left[F e\left(H_{2} O\right)_{6}\right]^{2+} \)
B . \( \left[F e(C N)_{6}\right]^{4} \)
\( \mathbf{c} \cdot\left[N i\left(H_{2} O\right)_{4}\right]^{2+} \)
D. \( \left[N i(C N)_{4}\right]^{2-} \)
Subject: Physics
A spherical surface of radius of curvature \( 10 \mathrm{cm} \) separates two media \( \mathrm{X} \) and Y of refractive indices \( 3 / 2 \) and \( 4 / 3 \)
respectively. Centre of the spherical surface lies in denser medium. An
object is placed in medium X. For image to be real, the object distance must be
A. greater than \( 90 \mathrm{cm} \)
B. less than \( 90 \mathrm{cm} \)
c. greater than \( 80 \mathrm{cm} \)
D. less than \( 80 \mathrm{cm} \)
Subject: Chemistry
Which of the following are the limitations of Bohr's model?
(i) It could not explain the intensities or
the fine spectrum of the spectral lines.
(ii) No justification was given for the
principle of quantisation of angular
momentum.
(iii) It could not explain why atoms should combine to form bond.
(iv)It could not successfully applied to single electron atoms.
\( A \cdot(i),(i i),(i v) \)
B . (ii), (iii)
c. (i), (iii), (iv)
D. (i),(ii),(iii)
Subject: Physics
The time period of a particle in simple harmonic motion is 8 s. At \( t=0 \), it is at
the mean position. The ratio of the distances travelled by it in the first and second seconds is:
A \( \cdot \frac{1}{2} \)
в. \( \frac{1}{\sqrt{2}} \)
c. \( \frac{1}{\sqrt{2}-1} \)
D. \( \frac{1}{\sqrt{3}} \)
Subject: Chemistry
\( 18.4 \mathrm{g} \) of \( N_{2} O_{4} \) is taken in a 1 L closed vessel and heated till the equilibrium is
reached.
\( N_{2} O_{4(g)} \rightleftharpoons 2 N O_{2(g)} \)
At equilibrium it is found that \( 50 \% \) of
\( N_{2} O_{4} \) is dissociated. What will be the
value of equilibrium constant?
A . 0.2
B. 2
\( c .0 .4 \)
D. 0.8
Subject: Maths
\( \operatorname{Let} \boldsymbol{f}(\boldsymbol{x}):\left\{\begin{array}{llll}\boldsymbol{x}, & \boldsymbol{x} & \boldsymbol{i} \boldsymbol{s} & \boldsymbol{r} \boldsymbol{a} \boldsymbol{t} \boldsymbol{i} \boldsymbol{o} \boldsymbol{n} \boldsymbol{a} \boldsymbol{l} \\ \boldsymbol{0}, & \boldsymbol{x} & \boldsymbol{i} \boldsymbol{s} & \boldsymbol{i} \boldsymbol{r} \boldsymbol{r} \boldsymbol{a} \boldsymbol{t} \boldsymbol{i} \boldsymbol{o} \boldsymbol{n} \boldsymbol{a} \boldsymbol{l}\end{array}\right. \)
and
\( \boldsymbol{g}(\boldsymbol{x}):\left\{\begin{array}{llll}\mathbf{0}, & \boldsymbol{x} & \boldsymbol{i} \boldsymbol{s} & \boldsymbol{r} \boldsymbol{a} \boldsymbol{t} \boldsymbol{i} \boldsymbol{o} \boldsymbol{n} \boldsymbol{a} \boldsymbol{l} \\ \boldsymbol{x}, & \boldsymbol{x} & \boldsymbol{i} \boldsymbol{s} & \boldsymbol{i} \boldsymbol{r} \boldsymbol{r} \boldsymbol{a} \boldsymbol{t} \boldsymbol{i} \boldsymbol{o} \boldsymbol{n} \boldsymbol{a} \boldsymbol{l} \boldsymbol{l}\end{array}\right. \)
ff \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) and \( \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R}, \) then \( (\boldsymbol{f}- \)
\( \boldsymbol{g}) \) is
A. one-one and into
B. neither one-one nor onto
c. many-one and onto
D. one-one and onto
Subject: Chemistry
Which of the following reactions is possible?
\( A \)
\[
\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{ONa}+\mathrm{PhBr} \rightarrow \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{O}-\mathrm{Ph}
\]
в.
\[
^{\left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{ONa}+\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{Br} \rightarrow}_{\left(\mathrm{CH}_{3}\right)_{3}} \overrightarrow{\mathrm{C}-\mathrm{O}-\mathrm{CH}_{2}-\mathrm{CH}_{3}}
\]
c.
\[
\begin{aligned}
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CH}-\mathrm{ONa}+\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CH}-\mathrm{Br} \rightarrow \\
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{CH}-\mathrm{O}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_{3}
\end{aligned}
\]
D.
\[
\begin{array}{l}
\left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{CH}_{2}-\mathrm{ONa}+\left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{CH}_{2} \mathrm{Br} \\
\quad \rightarrow\left(\mathrm{CH}_{3}\right)_{3} \mathrm{C}-\mathrm{CH}_{2}-\mathrm{O}-\mathrm{CH}_{2}-\mathrm{C}\left(\mathrm{CH}_{3}\right)_{3}
\end{array}
\]
Subject: Chemistry
How would you account for the following:
(i) Among lanthanoids, \( \ln (\| I) \) compounds are predominant. However, occasionally in solution or in solid compounds, +2 and +4 ions are also obtained.
(ii) The \( E_{M^{2+} / M}^{o} \) for copper is positive \( (0.34 \mathrm{V}) . \) Copper is the only metal in the first series of transition elements
showing this behavior.
(iii) The metallic radii of the third (5d)
series of transition metal are nearly the same as those of the corresponding members of the second series.
Subject: Physics
A wheel with 10 metallic spokes each \( 0.5 \mathrm{m} \) long rotated with a speed of 120 rpm in a plane normal to the horizontal
component of earth's magnetic field \( B_{h} \)
at a place. If \( B_{h}=0.4 \mathrm{G} \) at the place. What is the induced emf between the
axle and the rim of the wheel? \( \left(1 \mathrm{G}=10^{4}\right. \)
\( T \)
A. o v
B. 0.628 mV
c. \( 0.628 \mu v \)
D. 62.8 \( \mu \) V
Subject: Physics
What is the angular momentum of an electron in Bohr's hydrogen atom whose energy is \( -3.4 e V ? \)
\( ^{\mathbf{A}} \cdot_{L}=\frac{h}{\pi} \)
B. \( L=\frac{4 h}{\pi} \)
\( c \cdot_{L}=\frac{3 h}{\pi} \)
D. \( L=\frac{5 h}{\pi} \)
Subject: Maths
Let [.] denote the greatest integer
function and \( f(x)=\left[\tan ^{2} x\right] . \) Then
\( \mathbf{A} \cdot \lim _{x \rightarrow 0} f(x) \) does not exis
B. \( f(x) \) is continuous at \( x=0 \)
c. \( f(x) \) is not differentiable at \( x=0 \)
Subject: Chemistry
4 mole of \( S_{2} C l_{4}(g) \) is introduced into a
10 L vessel. The following equilibrium was establised \( S_{2} C l_{4}(g) \rightleftharpoons 2 S C l_{2}(g) \)
At equilibrium 0.2 mol of \( S_{2} C l_{4}(g) \) was present in the vessel. The value of
equilibrium constant is:
Subject: Chemistry
If \( V \) ml of the vapours of substance at NTP weighs \( W \) g. Then, molecular weight of substance is :
A \( \cdot \frac{W}{V} \times 22400 \)
в. \( \frac{V}{W} \times 22.4 \)
C \( \cdot(W-V) \times 22400 \)
D. \( \frac{W \times 1}{V \times 22400} \)
Subject: Physics
A coil has resistance \( 30 \Omega \) and inductive
reactance \( 20 \Omega \) at \( 50 H z \) frequency.If an
ac source of \( 200 V, 100 H z \) is connected
across the coil, the current in the coil in
the coil will be
A \( \cdot \frac{20}{\sqrt{13}} A \)
в. \( 2.0 A \)
c. \( 4.0 A \)
D. \( 8.0 A \)
Subject: Chemistry
Which of the following chemical
reaction correctly shows Aqua-regia dissolving in gold?
\( \mathbf{A} \cdot A u+2[C l] \longrightarrow A u C l_{2} \stackrel{H C l}{\longrightarrow} H_{2}\left[A u C l_{4}\right] \)
B \( \cdot A g+3[C l] \longrightarrow A g C l_{3} \stackrel{H C l}{\longrightarrow} H\left[A g C l_{4}\right] \)
c. \( A u+3[C l] \longrightarrow A u C l_{3} \stackrel{H C l}{\longrightarrow} H\left[A u C l_{4}\right] \)
D \( \cdot A g+2[C l] \longrightarrow A g C l_{2} \stackrel{H C l}{\longrightarrow} H_{2}\left[A g C l_{4}\right] \)
Subject: Physics
A bucket tied to a string is lowered at a constant acceleration of \( g / 4 \). If the mass of the bucket is \( m \) and is lowered
by a distance \( d \), the work done by the string on bucket will be:(assume the string to be massless, acceleration due
to gravity \( =g) \)
A \( \cdot \frac{1}{4} m g d \)
в. \( -\frac{3}{4} m g d \)
c. \( -\frac{4}{3} m g d \)
D. \( \frac{4}{3} m g d \)
Subject: Maths
Lt is known that the decay rate of radium is directly proportional to its quantity at each given instant Find the law of variation of a mass of radium
as a function of time if at \( t=0, \) the
mass of the radius was \( m_{0} \) and
during time \( t_{0} \alpha \% \) of the original mass of radium decay, if \( m=m_{0} e^{-k t}, \) then
\( k=? \)
A \( \cdot k=\frac{1}{t_{0}} \ln \left(1-\frac{\alpha}{100}\right) \)
В \( \cdot k=\frac{-1}{t_{0}} \ln \left(1-\frac{\alpha}{100}\right) \)
C \( \cdot k=\frac{1}{t_{0}} \ln (1-\alpha) \)
D・ \( k=\frac{-1}{t_{0}} \ln (1-\alpha) \)
Subject: Maths
The points with co-ordinates \( (2 a, 3 a) \) (3b, 2b) and (c,c) are collonear?
A. For no value of \( a, b, c \)
B. For all values of \( a, b, c \)
c. If a \( , c / 5 \) b are in \( \mathrm{H.P} \)
D. \( 5 a=c \)
Subject: Physics
Q Type your question
school 0 to their homes \( P \) and \( Q \)
respectively are shown in Fig. above.
Choose the correct entries in the
brackets below :
(a) (A/B) lives closer to the school than
\( (\mathrm{B} / \mathrm{A}) \)
(b) (A/B) starts from the school earlier
\( \operatorname{than}(\mathrm{B} / \mathrm{A}) \)
(c) \( (\mathrm{A} / \mathrm{B}) \) walks faster than \( (\mathrm{B} / \mathrm{A}) \)
(d) \( A \) and \( B \) reach home at the
(same/different) time
(e) \( (\mathrm{A} / \mathrm{B}) \) overtakes \( (\mathrm{B} / \mathrm{A}) \) on the road
(once/twice).
Subject: Physics
Two hail stones iron the form of a sphere
with radii in the ratio \( 1: 2, \) fall from a great height through the atmosphere. What will be the ratio of their momenta when they
attain their respective terminal
velocities?
A . 1: 16
B . \( 1 ; 32 \)
\( c \cdot 1: \)
D. \( 1 ; 4 \)