AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A certain network consists of two ideal
and indentical voltage sources in series
and a large number of ideal resistor. The power consumed in one of the resistor is \( 4 W \) when either of the two sources is
active and other is replaced by a short circuit. The power consumed by same resistor when both sources are
simultaneously active would be:
A. 0 or \( 16 W \)
B. \( 4 W \) or \( 8 W \)
\( \mathrm{c} .0 \) or \( 8 \mathrm{W} \)
D. \( 8 W \) or \( 16 W \)
Subject: Chemistry
If concentration of two weak acids are
different and degree of ionization \( (\alpha) \) is very less, then their relative strength can be compared by:
This question has multiple correct options
\( \mathbf{A} \cdot \frac{\left[H^{+}\right]_{1}}{\left[H^{+}\right]_{2}} \)
в. \( \frac{\alpha_{1}}{\alpha_{2}} \)
c. \( \frac{C_{1} \alpha_{1}}{C_{2} \alpha_{2}} \)
D. \( \frac{K_{a_{1}} C_{1}}{K_{a_{2}} C_{2}} \)
Subject: Physics
A double ionized lithium atom is
hydrogen-like with atomic number 3
(a) Find the wavelength of the radiation required to excite the electron in \( \boldsymbol{L} \boldsymbol{i}+ \)
+ from the first to the third Bohr orbit.
(lonization energy of the hydrogen atom
equals \( 13.6 e V \lambda \)
(b) How many spectral lines are
observed in the emission spectrum of the above excited system?
A . \( 114.7 A^{\circ} \), Three lines.
B. \( 113.7 A^{\circ} \), four lines.
c. \( 115.7 A^{\circ} \), two lines.
D. \( 116.7 A^{\circ} \), one lines.
Subject: Physics
Moment of inertia of a body about an
axis is \( 4 k g m^{2} . \) The body is initially at rest and a torque of 8 N \( m \) starts acting on it along the same axis. Work done by
the torque in \( 20 s, \) in joules, is :
A . 40
в. 640
c. 2560
D. 3200
Subject: Chemistry
Complete the following reaction:
\( \boldsymbol{S O}_{2}+\boldsymbol{N O}+\boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{?} \)
\( \mathbf{A} \cdot S O_{2}+2 N O+H_{2} O \longrightarrow N_{2} O+S O_{4}^{2-}+2 H^{+} \)
B. \( S O_{2}+4 N O+2 H_{2} O \longrightarrow 2 N_{2} O+S O_{4}^{2-}+4 H^{+} \)
\( \mathrm{c} \cdot S O_{2}+2 N O+4 H_{2} O \longrightarrow N_{2} O+S O_{4}^{2-}+4 H^{+} \)
D. None of these
Subject: Chemistry
Give the IUPAC name for \( \boldsymbol{H}_{3} \boldsymbol{C}-\boldsymbol{C} \boldsymbol{H}_{2}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{O H} \)
A. Propanal
B. Propanol
c. Propionic acid
D. Propane
Subject: Maths
The D.E whose solution \( y=A e^{5 x}+ \)
\( B e^{-2 x} \) is
A \( \cdot y_{2}-3 y_{1}-10 y=0 \)
в. \( y_{2}+3 y_{1}-10 y=0 \)
c. \( y_{2}+3 y_{1}+10 y=0 \)
D. \( y_{2}-3 y_{1}+10 y=0 \)
Subject: Chemistry
Which of the following pairs illustrates the law of multiple proportions?
A. \( P H_{3}, H C l \)
в. \( P b O, P b O_{2} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{S}, \mathrm{SO}_{2} \)
D. \( C u C l_{2}, C u S O_{4} \)
Subject: Chemistry
In a plot of \( \log k \) vs \( 1 / T, \) the slope is
A \( \cdot \frac{-E_{a}}{2.303} \)
в. \( \frac{E_{a}}{2.303 R} \)
c. \( \frac{E_{a}}{2.303} \)
D. \( \frac{-E_{a}}{2.303 R} \)
Subject: Maths
For \( \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R}, \boldsymbol{x} \neq \boldsymbol{0}, \) if \( \boldsymbol{y}(\boldsymbol{x}) \) is a
differentiable function such that
\( \boldsymbol{x} \int_{1}^{x} \boldsymbol{y}(\boldsymbol{t}) \boldsymbol{d} \boldsymbol{t}=(\boldsymbol{x}+\mathbf{1}) \int_{1}^{\boldsymbol{x}} \boldsymbol{t} \boldsymbol{y}(\boldsymbol{t}) \boldsymbol{d} \boldsymbol{t}, \) then
\( \boldsymbol{y}(\boldsymbol{x}) \) equals:
(Where \( C \) is a constant)
\( ^{A} \cdot_{C x^{3} e^{\frac{1}{x}}} \)
в. \( \frac{c}{x^{2}} e^{-\frac{1}{x}} \)
c. \( \frac{c}{x} e^{-\frac{1}{x}} \)
D. \( \frac{c}{x^{3}} e^{-\frac{1}{x}} \)
Subject: Maths
On a scale of map, \( 0.6 \mathrm{cm} \) represents 6.6km. If the distance between the
points on the map is \( 80.5 \mathrm{cm}, \) the actualdistance between these points is
\( \mathbf{A} \cdot 9 \mathrm{km} \)
в. \( 72.5 \mathrm{km} \)
c. \( 190.75 \mathrm{km} \)
D. \( 885.5 \mathrm{km} \)
Subject: Physics
A particle performs SHM on a straight line with time period \( T \) and amplitude
A. The average speed of the particle between two successive instants, when
potential energy and kinetic energy become same is
A \( \cdot \frac{A}{T} \)
в. \( \frac{4 \sqrt{2} A}{T} \)
c. \( \frac{2 A}{T} \)
D. \( \frac{2 \sqrt{2} A}{T} \)
Subject: Maths
S and \( \mathrm{S}^{\prime} \) foci of an ellipse. \( \mathrm{B} \) is one end of
the minor axis. If \( \angle S B S^{\prime} \) is a right
angled isosceles triangle, then \( \mathrm{e}=? \)
\( ^{A} \cdot \frac{1}{\sqrt{2}} \)
B. \( \frac{1}{2} \)
c. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{3}{4} \)
Subject: Chemistry
\( r, s, t \) are respectively :
\( \mathbf{A} \cdot C O_{2}, H C l, A l C l_{3} \)
в. \( \operatorname{Me} O H / \stackrel{\oplus}{H}, H C N / H C l, H_{3} O^{\oplus} \)
\( \mathrm{c} \cdot \mathrm{CH}_{3} \mathrm{Cl} / \mathrm{AlCl}_{3}, \mathrm{CrO}_{2} \mathrm{Cl}_{2}, \mathrm{H} \)
\( \mathrm{D} \cdot \mathrm{NO}_{2}^{+}, \operatorname{Sn} / \mathrm{HCl}, \mathrm{CuCN} \)
Subject: Chemistry
\( 50 m L \) of \( 2 N \) acetic acid mixed with
\( 10 m L \) of \( 1 N \) sodium acetate solution
will have an approximate \( \boldsymbol{p} \boldsymbol{H} \) of \( \left(\boldsymbol{K}_{\boldsymbol{a}}=\right. \)
\( \left.10^{-5}\right) \)
A . 4
B. 5
\( c .6 \)
D.
Subject: Maths
\( \operatorname{Let} \boldsymbol{A}(\mathbf{2} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+\mathbf{5} \hat{\boldsymbol{k}}) \boldsymbol{B}(-\hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+2 \hat{\boldsymbol{k}}) \)
and \( C(\lambda \hat{i}+5 \hat{j}+\mu \hat{k}) \) are vertices of \( a \) triangle and its median through \( A \) is equally inclined to the positive directions of the axes. The value of \( \lambda+ \)
\( \mu \) is equal to
A . -7
B . 2
c. 7
D. 17
Subject: Chemistry
A compound \( X \), of boron reacts with
\( N H_{3} \) on heating to give another
compound \( Y \) which is called inorganic
benzene. The compound \( X \) can be
prepared by treating \( B F_{3} \) with lithium
aluminum hydride. The compounds \( \boldsymbol{X} \)
and \( Y \) are represented by formula:
\( \mathbf{A} \cdot B_{2} H_{6}, B_{3} N_{3} H_{6} \)
в. \( B_{2} O_{3}, B_{3} N_{3} H_{6} \)
c. \( B F_{3}, B_{3} N_{3} H_{6} \)
D. \( B_{3} N_{3} H_{6}, B_{2} H_{6} \)
Subject: Chemistry
A polymeric sample in which \( 30 \% \) molecules have a molecular mass
\( 20,000,40 \% \) have 30,000 and the rest \( \mathbf{3 0 \%} \) have \( \mathbf{6 0}, \mathbf{0 0 0 .} \) The \( \left(\overline{\boldsymbol{M}}_{n}\right) \) and \( \left(\overline{\boldsymbol{M}}_{\boldsymbol{w}}\right) \)
of this sample are, respectively:
\( \mathbf{A} \cdot 36,000,43,333 \)
в. 43,000,36,000
c. 72,000,86,000
D. 86,000,72,000
Subject: Biology
Given below are four methods (A-D) and
their modes of action (i-iv) in
achieving contraception. Select their
correct matching from the four options
that follow.

Method \( \quad \) Mode of Action
A. Prevents sperms
Oral pill \( \quad \) (i) \( \quad \) reaching cervix
B. Condom
(ii) Prevents fertilisation
C. Vasectomy
(iii) Prevents ovulation
Semen contains no
D. CopperT \( \quad \) (iv) \( \quad \) sperms
\( A \)
A - (iii), B - (iv) \( C-(i), D-( \) ii)
B. \( A-(i i), B-(i i i), C-(i), D-(i v) \)
\( c \)
\( A-(\text { iii) }, B-(i), C-(i v), D-(i i) \)
D. A - (iv), B - (i), C - (ii), D- (iii)
Subject: Physics
Five equal point charges with \( Q= \)
\( 10 n C \) are located at \( x=2,4,5,10 \) and
\( 20 m . \) If \( \varepsilon_{0}=\frac{10^{-9}}{36 \pi} F / m, \) then the
potential at the origin \( (x=0) \) is?
A . \( 9.9 v \)
B. \( 11.1 \mathrm{v} \)
c. \( 90 v \)
D. \( 99 v \)
E. 111
Subject: Chemistry
The reaction \( \boldsymbol{C} \boldsymbol{H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{N} \boldsymbol{O}_{2}+ \)
\( \boldsymbol{O H}^{-} \longrightarrow \boldsymbol{C H}_{3}-\stackrel{\oplus}{\boldsymbol{C} \boldsymbol{H}}-\boldsymbol{N} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \)
obeys the rate law for pseudo first order
kinetics in the presence of a large excess of hydroxide ion. If \( 1 \% \) of nitro ethane undergoes reaction is half a minute when the reactant
concentration is \( 0.002 M . \) What is the
pseudo first order rate constant? \( (\log 99=1.996) \)
Subject: Chemistry
Assertion
Malonic acid \( \left(\boldsymbol{H} \boldsymbol{O} \boldsymbol{O} \boldsymbol{C}-\boldsymbol{C} \boldsymbol{H}_{2}-\right. \)
COOH ) does not form cyclic anhydride
on heating.
Reason
It is like \( \beta \) - keto acid, on heating it
prefer to decarboxylate.
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
Name the individual isomers of each of
the following:
(a) \( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{C l}_{2}\right] \)
(b) \( C r C l_{3} .6 H_{2} 0 \)
\( (c)\left[C o\left(N H_{3}\right)_{5} N O_{2}\right]\left(N O_{3}\right)_{2} \)
\( (\mathrm{d}) \mathrm{Co}\left(\mathrm{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{S} \boldsymbol{O}_{4}\right)(\boldsymbol{C l}) \)
\( (\mathrm{e})\left\{\begin{array}{cc}\boldsymbol{N} \boldsymbol{H}_{2} & \\ (\boldsymbol{e n})_{2} \boldsymbol{C} \boldsymbol{o} & \boldsymbol{C o}(\boldsymbol{e n})_{2} \\ \boldsymbol{N} \boldsymbol{O}_{2} & \boldsymbol{B r}_{4}\end{array}\right) \)
\( (f) C o(e n)_{2} N H_{3} B r S O_{4} \)
\( \left.(g)\left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)\left(\boldsymbol{H}_{2}\right)\right)\left(\boldsymbol{C}_{5} \boldsymbol{H}_{5} \boldsymbol{N}\right)\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right] \boldsymbol{C l} \)
Subject: Physics
toppr \( E \)
Q Type your question
that applies a force \( \boldsymbol{F}=-\boldsymbol{k v}, \) where \( ^{\prime} \boldsymbol{k}^{\prime} \)
is a constant, on the body? (Graphs are
schematic and not drawn to scale)
\( A \)
B.
\( c \)
\( D \)
Subject: Chemistry
A current of 1.5 ampere is passed through a solution of a salt of a bivalent
metal for 30 minutes. Increase in mass
of cathode is \( 0.8898 g . \) Find the atomic
mass of the metal.
\( A \cdot 63 g \)
B. 63.6 g
c. \( 73.6 g \)
D. 70g
Subject: Chemistry
Consider the following equilibrium
system; \( \boldsymbol{S O}_{2}(\boldsymbol{g})+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \)
set up in a cylinder fitted with a piston. Some inert gas is added and the piston is moved outwards to keep the total
gaseous pressure constant. Predict which of the following is true?
A. Addition of inert gas does not affect the equilibrium.
B. Less \( S O_{3}(g) \) is produced
c. More \( S O_{3}(g) \) is produced
D. The system moves to new equilibrium position which cannot be predicted theoretically.
Subject: Chemistry
For the reaction \( 2 A \rightarrow B+3 C \); if
\( -\frac{\boldsymbol{d}[\boldsymbol{A}]}{\boldsymbol{d} t}=\boldsymbol{k}_{1}[\boldsymbol{A}]^{2} ; \frac{\boldsymbol{d}[\boldsymbol{B}]}{\boldsymbol{d} t}= \)
\( \boldsymbol{k}_{2}[\boldsymbol{A}]^{2} ; \frac{\boldsymbol{d}[\boldsymbol{C}]}{\boldsymbol{d} \boldsymbol{t}}=\boldsymbol{k}_{3}[\boldsymbol{A}]^{2} \) the correct
relation between \( k_{1}, k_{2} \) and \( k_{2} \) is:
A \( \cdot k_{1}=k_{2}=k_{2} \)
B. \( 2 k_{1}=k_{2}=3 k_{2} \)
\( \mathbf{c} \cdot 4 k_{1}=k_{2}=3 k_{2} \)
D. \( \frac{k_{1}}{2}=k_{2}=\frac{k_{3}}{3} \)
Subject: Maths
The area of the parallelogram with
diagonals \( 5 c m, 6 c m \) respectivelu
\( \mathbf{A} \cdot 18 \mathrm{cm}^{2} \)
B. \( 27 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 15 c m^{2} \)
D. None of these
Subject: Maths
If \( a+b+c=3 \) and \( a>0, b>0, c>0 \)
the greatest value of \( a^{2} b^{3} c^{2} \)
\( ^{A} \cdot \frac{3^{10}, 2^{4}}{7^{7}} \)
в. \( \frac{3^{9}, 2^{4}}{7^{7}} \)
c. \( \frac{3^{9}, 2^{5}}{7^{7}} \)
D. \( \frac{3^{10}, 2^{5}}{7^{7}} \)
Subject: Maths
A line which passes through (5,6) and (-3. -4) has an equation of
A. \( 5 x+4 y+1=0 \)
в. \( 5 x-4 y-1=0 \)
c. \( 5 x-4 y+1=0 \)
D. \( 5 x+y-1=0 \)
E. none of these
Subject: Physics
Which of the following row is giving the
correct combination of all the three
column?
\( \begin{array}{lll}\text { Column I } & \text { Column II } & \begin{array}{l}\text { Column } \\ \text { II }\end{array} \\ \text { (1) Myopia } & \begin{array}{l}\text { Long } \\ \text { sightedness }\end{array} & \begin{array}{l}\text { Convex } \\ \text { lens }\end{array} \\ \begin{array}{l}\text { (2) } \\ \text { Hypermetropia }\end{array} & \begin{array}{l}\text { Near } \\ \text { sightedness }\end{array} & \begin{array}{l}\text { Concave } \\ \text { lens }\end{array} \\ \text { (3) Presbyopia } & \begin{array}{l}\text { Old age } \\ \text { problem }\end{array} & \begin{array}{l}\text { Bifocal } \\ \text { lens }\end{array}\end{array} \)
Subject: Physics
Two short magnets of equal dipole
moments \( M \) are fastened
perpendicularly at their centres as given in the figure. The magnitude of
the magnetic field at a distance \( d \) from
the centre on the bisector of the right angle is
A. \( \frac{\mu_{0} m}{4 \pi d^{3}} \)
в. \( \frac{\mu_{0} \sqrt{2} M}{4 \pi d^{3}} \)
c. \( \frac{\mu_{0} 2 \sqrt{2} M}{4 \pi d^{3}} \)
D. \( \frac{\mu_{0} 2 M}{4 \pi d^{3}} \)
Subject: Physics
The equation of an alternating voltage is \( V=100 \sqrt{2} \sin 100 \pi t \) volt. The RMS
value of voltage and frequency will be respectively
A. \( 100 V, 50 H z \)
в. \( 50 V, 100 H z \)
c. \( 150 V, 50 H z \)
D. \( 200 V, 50 H z \)
Subject: Chemistry
\( \boldsymbol{C}_{\boldsymbol{g} \text {raphite}}+\boldsymbol{O}_{\mathbf{2}(\boldsymbol{g})} \rightarrow \boldsymbol{C} \boldsymbol{O}_{2(\boldsymbol{g})} ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -393.5 k J, \Delta H \) of the reaction cannot
be:
A. Heat of formation of \( C O_{2} \)
B. Heat of combustion of \( C O_{2} \)
c. Heat of reaction
D. Heat of transition
Subject: Physics
A satellite of mass 'm', moving around
the earth in a circular orbit of radius \( \boldsymbol{R} \)
has angular momentum \( L \). The areal velocity of satellite is:
\( \mathbf{A} \cdot L / 2 m \)
в. \( L / m \)
\( \mathbf{c} \cdot 2 L / m \)
D. \( 2 L / m_{e} \)
Subject: Maths
Given that \( A, B \) and \( C \) are events such
\( \operatorname{that} \boldsymbol{P}(\boldsymbol{A})=\boldsymbol{P}(\boldsymbol{B})=\boldsymbol{P}(\boldsymbol{C})= \)
\( \mathbf{1} / \mathbf{5}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\boldsymbol{P}(\boldsymbol{B} \cap \boldsymbol{C})=\mathbf{0} \) and
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{C})=1 / 10 . \) The probability that
at least one of the events \( A, B \) or \( C \)
occurs is
A \( .1 / 2 \)
в. \( 2 / 3 \)
\( c \cdot 2 / 5 \)
D. 3/5
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=(\boldsymbol{x}+\mathbf{1})(\boldsymbol{x}+\mathbf{2})(\boldsymbol{x}+\mathbf{3}) \dots . .(\boldsymbol{x}+ \)
\( \boldsymbol{n}), \) then find \( \boldsymbol{f}^{\prime}(\mathbf{0}) \)
A \( \cdot(n) !\left\{1+\frac{1}{2}+\frac{1}{3}+\ldots .+\frac{1}{n}\right\} \)
B . \( (n) ! \)
\( \mathbf{c} \cdot(n) !^{2}\left\{1+\frac{1}{2}+\frac{1}{3}+\ldots .+\frac{1}{n}\right\} \)
D. \( n(n+1) / 2 \)
Subject: Chemistry
Chlorine gas is passed in a medium which has \( p H=12 . \) Two products \( A \)
and \( B \) are formed with water. Now \( p H \) of
medium is changed to 1 by acidifying it.Again a product \( C \) is formed with
water. It is found that \( A \) is strong
oxidising agent Answer the following questions carefully: Oxidation state of \( C l \) in compound \( A \) is:
A. -1
B. +1
\( c .+3 \)
D. +5
Subject: Chemistry
One mole of an ideal gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant
volume to raise the temperature by the same \( 10 \mathrm{K} \), the heat required is
A . \( 198.7 J \)
B. \( 29 J \)
c. \( 215.3 J \)
D. 124J
Subject: Chemistry
A radioactive atom \( _{Y}^{X} M \) emits two \( \alpha^{-} \) particles and one \( \beta \) -particle
respectively. The number of neutrons in
the product nucleus will be :
\( \mathbf{A} \cdot X-Y-4 \)
B. \( X-5-Y \)
c. \( X-3-Y \)
D. \( X-Y-6 \)
Subject: Physics
Four identical plates each of area \( a \) are
separated by a distance \( d \). The
connection is shown below. What is the
capacitance between \( P \) and \( Q ? \)
A \( \cdot \frac{2 a \varepsilon_{0}}{d} \)
B. \( \frac{a \varepsilon_{0}}{2 d} \)
c. \( \frac{\varepsilon_{0}}{d} \)
D. \( \frac{4 a \varepsilon_{0}}{d} \)
Subject: Maths
Solve the following inequalities:
\( \frac{2 x-3}{4}+8 \geq 2+\frac{4 x}{3} \)
A . \( x \leq 6.3 \)
в. \( x \leq 7 \)
c. \( x \leq 7.3 \)
D. \( x \leq 8.3 \)
Subject: Physics
Assertion
For an ideal gas in a cyclic process and in an isothermal process change in
internal energy is zero.
Reason
In both processes there is no change in temperature.
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
Assertion: In a cavity within a
conductor, the electric field is zero.
Reason: Charges in a conductor reside
only at its surface.
A. If both assertion and reason are true but the reason is
the correct explanation of assertion.
B. If both assertion and reason are true but the reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both the assertion and reason are false.
E. If reason is true but assertion is false.
Subject: Physics
Assertion
An electric bell is a mechanical bell that
functions by means of an electromagnet. When an electric current is applied, it produces a repetitive buzzing or clanging sound. Electric bells have been widely used at railroad crossings, in telephones, fire and burglar alarms, as school bells,
doorbells, and alarms in industrial
plants.
Reason
Electromagnetic force is the force of
attraction between the north and south
poles of magnets
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
Fill in the blank:
In the carbon cycle, from which stars, hotter than the Sun, obtain their energy,
the \( _{6} C^{12} \) isotope
A. splits up into three alpha particles
B. fuses with another \( _{6} C^{12} \) nucleus to form \( _{12} M g^{2} \)
c. is completely converted into energy
D. is regenerated at the end of the cycle
Subject: Physics
The position vector of three particles of
masses \( \boldsymbol{m}_{1}=\mathbf{1} \boldsymbol{k} \boldsymbol{g}, \boldsymbol{m}_{2}=\boldsymbol{2} \boldsymbol{k} \boldsymbol{g} \) and
\( \boldsymbol{m}_{3}=\mathbf{3} \boldsymbol{k} \boldsymbol{g} \operatorname{are} \overrightarrow{\boldsymbol{r}}_{1}=(\hat{\boldsymbol{i}}+\boldsymbol{4} \hat{\boldsymbol{j}}+ \)
\( \hat{\boldsymbol{k}}) \boldsymbol{m}, \overrightarrow{\boldsymbol{r}}_{2}=(\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}) \boldsymbol{m} \) and \( \overrightarrow{\boldsymbol{r}}_{3}= \)
\( (2 \hat{i}-\hat{j}-2 \hat{k}) \mathrm{m} \) respectively. Find the position vector of their center of mass.
A \( \cdot \frac{1}{2}(\hat{i}+\hat{j}-\hat{k}) m \)
B \( \cdot \frac{1}{2}(\hat{i}+3 \hat{j}-\hat{k}) m \)
c \( \cdot \frac{1}{2}(\hat{i}+\hat{j}-3 \hat{k}) m \)
D \( \cdot \frac{1}{2}(3 \hat{i}+\hat{j}-\hat{k}) m \)
Subject: Physics
In the circuit shown in the figure, the
heat produced in the \( 5 \Omega \) resistor due to
the current flowing through it is
\( \mathbf{1 0} \) cal \( s^{-1} \)
The heat generated in the \( 4 \Omega \) resistor is
A \( \cdot 1 \) cal \( s^{-1} \)
B. 2 cal \( s^{-1} \)
c. 3 cal \( s^{-1} \)
D. 4 cal \( s^{-} \)
Subject: Chemistry
The solubility product of ferric
hydroxide in aqueous solution is \( 6 \times \)
\( 10^{-38} \) at \( 298 K . \) The solubility of \( F e^{3+} \)
ion will increase when the:
\( \mathbf{A} \cdot p H \) is increased
B. \( p H \) is 7.0
c. \( p H \) is decreased
D. saturated solution is exposed to the atmosphere
Subject: Maths
In \( \Delta A B C, A B=A C \) and \( A D \) is
perpendicular bisector of \( \boldsymbol{B C} \). The
property by which \( \Delta A D B \) is not
congruent to \( \Delta A D C \) is
A. SAS property
B. SSS property
c. RHS property
D. AAA property
Subject: Chemistry
Rate law for the reaction, \( \boldsymbol{A}+\boldsymbol{B} \longrightarrow \)
product is rate \( =\boldsymbol{k}[\boldsymbol{A}]^{2}[\boldsymbol{B}] . \) What is the
rate constant; if rate of reaction at a
given temperature is \( 0.22 M s^{-1}, \) when
\( [\boldsymbol{A}]=\mathbf{1} \boldsymbol{M} \) and \( [\boldsymbol{B}]=\mathbf{0 . 2 5} \boldsymbol{M} ? \)
\( \mathbf{A} \cdot 3.52 M^{-2} s^{-1} \)
B . \( 0.88 M^{-2} s^{-1} \)
c. \( 1.136 M^{-2} s^{-1} \)
D. \( 0.05 M^{-2} s^{-1} \)
Subject: Chemistry
Number of coulombs required to deposit \( 90 g \) of \( A l \) when the electrode
reaction \( A l^{3+}+3 e \rightarrow A l \) is
A \( \cdot 9.65 \times 10^{6} \)
B. \( 8.685 \times 10^{4} \)
c. \( 9.65 \times 10^{4} \)
D. 6.955
Subject: Maths
A given unit vector is orthogonal to \( \mathbf{5} \hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}}+\mathbf{6} \hat{\boldsymbol{k}} \) and coplanar with \( \hat{\mathbf{i}}-\hat{\boldsymbol{j}}+ \)
\( \hat{k} \) and \( 2 \hat{i}+\hat{j}+\hat{k} \) then the vector is?
A \( \cdot \frac{3 \hat{j}-\hat{k}}{\sqrt{10}} \)
\( ^{\text {В } \cdot \frac{6 \hat{i}-5 \hat{k}}{\sqrt{61}}} \)
c. \( \frac{2 \hat{i}-5 \hat{k}}{\sqrt{29}} \)
\( \frac{2 \hat{i}+\hat{j}-2 \hat{k}}{3} \)
Subject: Chemistry
Among the following the species having same geometry for central atom are
(i) \( \boldsymbol{X} \boldsymbol{e} \boldsymbol{F}_{\mathbf{4}} \)
(ii) \( \boldsymbol{S} \boldsymbol{F}_{\mathbf{4}} \)
(iii) \( \left[N i C l_{4}\right]^{2-} \)
(iv) \( \left[\boldsymbol{P d C l}_{4}\right]^{2-} \)
A. (i) and (iv)
B. (i), (iii) and (iv)
c. (ii) and (iii)
D. (iii) and (iv)
Subject: Physics
a) For concave mirror focal length is taken as
b) For convex mirror, radius of curvature
is taken as
A \( . a= \)positive, \( b= \) negative
B. \( a= \) negative, \( b= \) positive
c. \( a= \) positive \( , b= \) positive
D. \( a= \) negative, \( b= \) negative
Subject: Physics
Calculate the charge on the capacitor in coulombs if a 20 -F capacitor has a \( 30-v \) potential difference across it.
A. \( 6.7 \times 10^{-7} \mathrm{c} \)
В. \( 6.0 \times 10^{-4} \mathrm{C} \)
\( c \cdot 1.5 c \)
D. \( 6.0 \times 10^{2} \mathrm{C} \)
E . \( 1.5 \times 10^{6} \mathrm{C} \)
Subject: Maths
\( \int \sqrt{\boldsymbol{x}} \cdot \log \boldsymbol{x} \boldsymbol{d} \boldsymbol{x}= \)
A. \( \frac{2}{3} x^{3 / 2} \cdot \log x-\frac{4}{9} x^{3 / 2}+c \)
B \( \cdot \frac{2}{3} x^{3 / 2} \cdot \log x+x^{3 / 2}+c \)
c. \( \quad x^{3 / 2} \cdot\left(\log x-\frac{2}{3}\right)+c \)
D \( \cdot \frac{2}{5} x^{3 / 2}(\log x+1)+c \)
Subject: Chemistry
\( E_{C l O_{4}^{-} / C l O_{3}^{-}}^{o} \) and \( E_{C l O_{3}^{-} / C l O_{2}^{-}}^{o} \operatorname{are}+0.36 V \)
and \( +0.33 V \) respectively. The
equilibrium concentration of per chlorate ion for the given reaction would be:
\[
\begin{array}{rcc} 
& \mathbf{2 C l O}_{\mathbf{3}}^{-} \rightleftharpoons \mathbf{C l O}_{\mathbf{2}}^{-}+\mathbf{C l O}_{\mathbf{4}}^{-} \\
\boldsymbol{t}=\mathbf{0} & \mathbf{0 . 1} \mathbf{M} & \mathbf{0}
\end{array}
\]
A \( .0 .19 M \)
B. 0.024
c. 0.24
D. 0.019
Subject: Chemistry
Ultraviolet light of \( 6.2 \mathrm{eV} \) falls on aluminium surface (work function =
4.2eV). The kinetic energy in joules of the fastest electron emitted is
approximately:
A \( \cdot 3 \times 10^{-21} \)
B . \( 3 \times 10^{-19} \)
c. \( 3 \times 10^{-17} \)
D. \( 3 \times 10^{-15} \)