AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Assertion
In rate law, unlike in the expression for
equilibrium constants, the exponents for concentrations do not necessarily match the stoichiometric coefficients.
Reason
t is the mechanism and not the
balanced chemical equation for the overall change that governs the reaction
rate
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
The overall formation constant for the
reaction of 6 mole of \( C N^{-} \) with cobalt
(II) is \( 1 \times 10^{19} . \) Given that
\( \boldsymbol{C o}(\boldsymbol{C N})_{\boldsymbol{6}}^{\boldsymbol{3}-}+\boldsymbol{e} \rightarrow \boldsymbol{C o}(\boldsymbol{C N})_{\boldsymbol{6}}^{\boldsymbol{4}-} ; \boldsymbol{E}_{\boldsymbol{R} \boldsymbol{P}}^{\boldsymbol{o}}= \)
\( -0.83 V \)
\( \boldsymbol{C o}^{3+}+\boldsymbol{e} \rightarrow \boldsymbol{C o}^{2+} ; \boldsymbol{E}_{R P}^{o}=\mathbf{1 . 8 2} \boldsymbol{V} \)
If the formation constant for the
reaction of 6 mole of \( C N^{-} \) with cobalt
(III) is \( x \times 10^{63} \) then \( 100 x \)
is
Subject: Maths
Evaluate the integral \( \int_{1}^{\sqrt[7]{2}} \frac{1}{x\left(2 x^{7}+1\right)} d x \)
\( ^{\mathrm{A}} \cdot \log \frac{6}{5} \)
B. \( 6 \log \frac{6}{5} \)
c. \( \frac{1}{7} \log _{5}^{6} \)
D. \( \frac{1}{5} \log \frac{6}{5} \)
Subject: Maths
If \( \sin ^{-1} x+\sin ^{-1} y+\sin ^{-1} z=\frac{3 \pi}{2}, \) the
value of \( \quad x^{100}+y^{100}+z^{100}- \)
\( \frac{9}{x^{101}+y^{101}+z^{101}} \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B. 1
c. 2
D. 3
Subject: Physics
The area of the coil in a moving coil
galvanometer is \( 80 \mathrm{cm}^{2} \) and it has 200 turns. The magnetic induction of the radial field is \( 0.2 \mathrm{T} \) and the couple per unit twist of the suspension wire is \( 2 x \)
\( 10^{-6} N m \) per degree. If the deflection is
4, the current passing through it is
\( A \cdot 0.25 \mathrm{m} \mathrm{A} \)
в. 2.5 \( \mathrm{m} \) А
c. \( 0.025 \mathrm{mA} \)
D. 250 mA
Subject: Chemistry
When three parts of conc. HCl and one
part of conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) is mixed, a compound 'X' is formed. The correct option related to 'X' is:
A . 'X' 'is known as aqua-regia
B. 'X' is used for dissolving gold
C. 'X'is used for decomposition of salts of weaker acids
\( D . \) both (a) and (b)
Subject: Chemistry
carried out?
(i) Propene to propan-1-ol
(ii) Ethanol to but-1-yne
(iii) \( 1- \) Bromopropane to 2 -bromopropane
(iv) Toluene to benzyl alcohol
(v) Benzene to 4-bromonitrobenzene
(vi) Benzyl alcohol to 2phenylethanoic acid
(vii) Ethanol to propanenitrile (viii) Aniline to chlorobenzene
(ix) 2 -Chlorobutane to \( 3,4- \)
dimethylhexane
(x) 2-Methyl-1propene to 2-chloro-2-methylpropane
(xi) Ethyl chloride to propanoic acid
(xii) But-1-ene to n-butyliodide
(xiii) 2-Chloropropane to 1-propanol
(xiv) Isopropyl alcohol to iodoform
(xv) Chlorobenzene to p-nitrophenol
(xvi) 2-Bromopropane to 1bromopropane
(xvii) Chloroethane to butane
(xviii) Benzene to diphenyl
(xix) tert-Butyl bromide to isobuty| bromide \( (x x) \) Aniline to
phenylisocyanide
Subject: Physics
Assertion
A wire bent into an irregular shape with
the points \( P \) and \( Q \) fixed. If a current
passed through the wire, then the area
enclosed by the irregular portion of the wire increases.
Reason
Opposite currents carrying wires repel
each other.
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
An electron in hydrogen atom after absorbing an energy photon jumps from
energy state \( n_{1} \) to \( n_{2} \). Then it returns to
ground state after emitting six different wavelengths in emission spectrum. The energy of emitted photons is either
equal to less than the absorbed
photons. The \( n_{1} \) and \( n_{2} \) are
A \( . n_{2}=4, n_{1}=3 \)
в. \( n_{2}=5, n_{1}=3 \)
c. \( n_{2}=4, n_{1}=1 \)
D. \( n_{2}=5, n_{1}=1 \)
Subject: Chemistry
An element X occurs in short period
having configuration \( n s^{2} n p^{1} \). the
formula and nature of its oxide is :
A. \( X O_{3, \text { basic }} \)
в. \( X O_{3} \),bcidic
c. \( X_{2} O_{3, \text { amphoteric }} \)
D. \( X_{2} O_{3, \text { basic }} \)
Subject: Chemistry
If in the fermentation of sugar in an
enzymatic solution that is \( 0.12 M \), the
concentration of the sugar is reduced to \( 0.06 M \) in \( 10 h \) and \( 0.03 M \) in \( 20 h, \) what
is the order of the reaction:
\( A \)
B. 2
\( c \cdot 3 \)
D.
Subject: Chemistry
Dihydrogen gas used in Habers process is produced by reacting methane from natural gas with high temperature steam. The first stage of two stage reaction involves the formation of \( C O \)
and \( H_{2} . \) In second stage, \( C O \) formed in
first stage is reacted with more steam in water gas shift reaction,
\( \boldsymbol{C O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g})+ \)
\( \boldsymbol{H}_{2}(\boldsymbol{g}) \)
If a reaction vessel at \( 400^{\circ} \mathrm{C} \) is charged
with an equimolar mixture of \( C O \) and
steam such that \( \boldsymbol{P}_{C O}=\boldsymbol{P}_{\boldsymbol{H}_{2}} \boldsymbol{O}= \)
4.0bar, what will be the partial pressure
of
\( \boldsymbol{H}_{2} \) at equilibrium? \( \boldsymbol{K}_{\boldsymbol{P}}=\mathbf{0 . 1} \) at \( \mathbf{4 0 0}^{\circ} \boldsymbol{C} \)
Subject: Maths
Let \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{4} \\ \mathbf{3} & \mathbf{2}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{3} \\ -\mathbf{2} & \mathbf{5}\end{array}\right] \) and
\( \boldsymbol{C}=\left[\begin{array}{cc}\mathbf{- 2} & \mathbf{5} \\ \mathbf{3} & \mathbf{4}\end{array}\right] . \) Find:
\( \boldsymbol{A}-\mathbf{2} \boldsymbol{B}+\mathbf{3} \boldsymbol{C} \)
Subject: Physics
In the Bohr's model of hydrogenlike atom the force between the nucleus
and the electron is modified as
\[
\boldsymbol{F}=\frac{\boldsymbol{e}^{2}}{\boldsymbol{4} \boldsymbol{\pi} \varepsilon_{0}}\left(\frac{1}{\boldsymbol{r}^{2}}+\frac{\boldsymbol{\beta}}{\boldsymbol{r}^{3}}\right), \text { where } \boldsymbol{\beta} \text { is a }
\]
constant. For this atom, the radius of
the \( n \) th orbit in terms of the Bohr radius
\[
\left(a_{0}=\frac{\varepsilon_{0} h^{2}}{m \pi e^{2}}\right) i s
\]
A \( \cdot r_{n}=a_{0} n-\beta \)
\( \mathbf{B} \cdot r_{n}=a_{0} n^{2}+\beta \)
\( \mathbf{c} \cdot r_{n}=a_{0} n^{2}-\beta \)
\( \mathbf{D} \cdot r_{n}=a_{0} n+\beta \)
Subject: Chemistry
The solubility product of \( \boldsymbol{H} \boldsymbol{g}_{2} \mathbf{1}_{2} \) is equal
to
\( \mathbf{A} \cdot\left[H g_{2}^{2+}\right]\left[I^{-}\right] \)
B \( \cdot\left[H g^{2+}\right]\left[I^{-}\right] \)
c. \( \left[H g_{2}^{2+}\right]\left[I^{-}\right]^{2} \)
D \( \cdot\left[H g^{2+}\right]\left[I^{-}\right]^{2} \)
Subject: Maths
If \( 0 \leq x \leq \frac{\pi}{2}, \) then which one of the
following is always correct? This question has multiple correct options
A \( \quad \sin ^{2} x<\frac{1}{2} \) and \( \cos ^{2} x>\frac{1}{2} \)
B. \( \quad \sin ^{2} x>\frac{1}{2} \) and \( \cos ^{2} x<\frac{1}{2} \)
c. \( \quad \sin ^{2} x<\frac{1}{2} \) and \( \cos ^{2} x<\frac{1}{2} \)
D. Atleast one of the sin \( ^{2} x, \cos ^{2} x \) is less than 1
Subject: Maths
Assertion
\( (\mathrm{A}): \) If \( \boldsymbol{a}_{\boldsymbol{n}}=\sqrt{\mathbf{7}+\sqrt{\mathbf{7}+\sqrt{\mathbf{7}+\ldots}}} \)
having \( n \) radical signs, then \( a_{n}< \)
\( 4, \forall n \geq 1 \)
Reason
\( (\mathrm{R}): \) If \( a_{n}<4, \) then \( a_{n+1}<4 \)
A. Both (A) \& (R) are individually true \&
(R) is correct explanation of (A)
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
\( \mathrm{c} . \) (A) is true but (R) is false
D. (A) is false but (R) is true
Subject: Physics
Two capillaries of same length and radii in the ratio 1: 2 are.connected in series.
A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination is \( 1 \mathrm{m} \) of water, the pressure difference across first
capillary is
\( A \cdot 9.4 \mathrm{m} \)
B. 4.9 \( m \)
c. \( 0.49 \mathrm{m} \)
D. 0.94 m
Subject: Chemistry
Which of the following is least basic?
\( \mathbf{A} \cdot L a(O H)_{3} \)
\( \mathbf{B} \cdot L u(O H)_{3} \)
\( \mathbf{c} \cdot \operatorname{Ce}(O H)_{3} \)
D. \( N d(O H)_{3} \)
Subject: Maths
The value of \( \boldsymbol{f}(\mathbf{0}) \) so that \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \frac{\sqrt{1+x}-\sqrt[3]{1+x}}{x} \) is continuous is
A \( \cdot \frac{1}{6} \)
B. \( \frac{1}{4} \)
c. \( \frac{1}{3} \)
D. -
Subject: Maths
The range of the function \( \boldsymbol{f}(\boldsymbol{x})=\sin \left(\boldsymbol{x} e^{[x]}+\boldsymbol{x}^{2}-\boldsymbol{x}\right), \forall \boldsymbol{x} \epsilon(-1, \infty) \)
where \( [x] \) denotes the greatest integer function is :
\( A \cdot \phi \)
B. [0,1]
c. [-1,1]
D. \( R \)
Subject: Chemistry
\( \boldsymbol{K}, \boldsymbol{C} \boldsymbol{a} \) and \( \boldsymbol{L} \boldsymbol{i} \) metals may be arranged
in the decreasing order of their standard electrode potentials
as
A. \( K, C a \) and \( L i \)
в. \( L i, K \) and \( C a \)
c. \( L i, \) Ca and \( K \)
D. \( C a, L i \) and \( K \)
Subject: Maths
In one year, the population of a village increased by \( 10 \% \) and on the next year, it decreased by \( 10 \% \). If the end of the 2 nd year, the population was \( 7920, \) what was it in the beginning?
\( A \cdot 8500 \)
B. 8000
\( c \cdot 8100 \)
D. 840
Subject: Physics
A narrow monochromatic beam of light intensity I is incident on a glass plate. another identical glass plate is kept close to the first one and parallel to it
Each glass plate reflects \( 25 \% \) of the light incident on it and transmit the
remaining. find the ratio of the
minimum and maximum intensity in the interference pattern formed by the two beams obtained after 1 reflection at
each plate.
\( \mathbf{A} \cdot 1: 49 \)
B. 49: 1
c. 1: 23
D. 23: 1
Subject: Physics
How many electrons should be removed
from a coin of mas \( 1.6 \mathrm{g} \), so that it may
float in an electric field of intensity \( 10^{9} \) N/C directed upward?
A \( .9 .8 \times 10^{7} \)
B . \( 9.8 \times 10^{5} \)
\( \mathbf{c} \cdot 9.8 \times 10^{3} \)
D. \( 9.8 \times 10^{1} \)
Subject: Chemistry
One litre of a samle of hard water
contains \( 1 \mathrm{mg} \) of \( \mathrm{CaCl}_{2} \) and \( 1 \mathrm{mg} \) of
\( M g C l_{2} \). Then the total hardness in
terms of parts of \( C a C O_{3} \) per \( 10^{8} \) parts
of water by mass is:
A. \( 1.954 \mathrm{ppm} \)
B. 1.260
c. 0.946
D. none of these
Subject: Chemistry
More number of oxidation states are
exhibited by the actinoids than by lanthanoids. The main reason for this is:
A. greater metallic character of the lanthanoids than that of the corresponding actinoids.
B. more active nature of the actinoids
c. more energy difference \( 5 f \) and \( 6 d \) -orbitals than that between \( 4 f \) and \( 5 d \) -orbitals
D. lesser energy difference between \( 5 f \) and \( 6 d \) -orbitals than that between \( 4 f \) and \( 5 d \) -orbitals
Subject: Physics
The potential at 0 is :
A. zero
В \( \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r}-\frac{1}{R_{1}}+\frac{1}{R_{2}}\right] \)
\( ^{\mathbf{C}} \cdot \frac{q}{4 \pi \epsilon_{0}}\left[\frac{1}{r}-\frac{1}{R_{1}}\right] \)
D. None of these
Subject: Chemistry
Assertion: \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is more powerful oxidant in alkali medium.
Reason: \( E_{o, p}^{o} H_{2} O_{2}=-1.77 \mathrm{V} \) (in acid)
and \( E_{o, p}^{o} H_{2} O_{2}=-0.87 \mathrm{V} \) (in alkali).
A. Both Assertion and Reason are correct and Reason is correct explanation of Assertion
B. Both Assertion and Reason are correct but Reason is not correct explanation of Assertion
C . Assertion is correct but Reason is wrong
D. Assertion is wrong but Reason is correct
Subject: Physics
Q Type your question-
each of different cross-sections and
each part having a piston which can move smoothly in respective tubes. The
two pistons are joined together by an in extensible wire. The combined mass of
the two pistons is 5 kg and area of the cross-section of the upper piston is 10
\( c m^{2} \) greater than that of the lower
piston. Amount of gas enclosed by the pistons is one mole. When the gas is heated slowly, pistons move by \( 50 \mathrm{cm} \). Find rise in temperature of the gas, in the form
\( \frac{15 x}{R} K, \) where \( R \) is universal gas
constant. Use \( g=10 m / s^{2} \) and outside
pressure \( \left.=10^{5} N / m^{2}\right) . \) Fill value of \( ^{\prime} x^{\prime} \)
Subject: Physics
A galvanometer (coil resistance \( 99 \Omega) \) is converted into a ammeter using a
shunt of \( 1 \Omega \) and connected as shown in
the figure ( \( i \) ). The ammeter reads \( 3 A \)
The same galvanometer is converted
into a voltmeter by connecting a resistance of \( 101 \Omega \) in series. This
voltmeter is connected as shown in
figure (ii). Its reading is found to be \( 4 / 5 \)
of the full scale reading. Find the range of the ammeter and voltmeter
Subject: Chemistry
\( \boldsymbol{C}+\boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{C} \boldsymbol{O}_{2}(\mathrm{i}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}=-\boldsymbol{3} \boldsymbol{9} \boldsymbol{3} \mathbf{k} \)
\( m o l^{-1} \)
\( \boldsymbol{H}_{2}+\mathbf{1} / \mathbf{2} \boldsymbol{O}_{2} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O},(\mathbf{i} \mathbf{i}) ; \quad \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -287.3 \mathrm{kJ} \) mole\( ^{-1} \)
\( 2 C O_{2}+3 H_{2} O \rightarrow C_{2} H_{5} O H+3 O_{2} \)
(iii); \( \Delta \boldsymbol{H}=\mathbf{1 3 6 6 . 8} \) kJ \( \boldsymbol{m o l}^{-1} \)
Find the standard enthalpy of formation of \( C_{2} H_{5} O H(l) \)
A \( \cdot 281.1 \) kJ \( m o l^{-1} \)
в. \( -281.1 \mathrm{kJ} \) тог
\( \mathrm{c} \cdot_{562.2 \mathrm{kJ}} \mathrm{mol}^{-1} \)
D. \( -562.2 \mathrm{k} \) s \( \mathrm{mol}^{-1} \)
Subject: Chemistry
\( \Delta_{f} G^{o} \) at \( 500 K \) for substance \( S \) in liquid state and gaseous state are \( +100.7 k c a l m o l^{-1} \) and
\( +103 k c a l \) mol\( ^{-1} \) respectively. Vapour pressure of liquid \( S \) at \( 500 K \) is approximately equal to: \( (R= \)
\( \left.2 \operatorname{cal} K^{-1} m o l^{-1}\right) \)
A. 0.1 atm
B. 1 atm
c. 10 atm
D. 100 atm
Subject: Physics
In a Young's double slit experiment, the fringe pattern is observed on a screen placed at a distance \( D \). The slits are
separated by \( d \) and are illuminated by light of wavelength \( \lambda \). The distance from the central point, where the intensity falls to half the maximum is
A \( \frac{\lambda D}{3 d} \)
в. \( \frac{\lambda D}{2 d} \)
c. \( \frac{\lambda D}{d} \)
D. \( \frac{\lambda D}{4 d} \)
Subject: Physics
Match the following and choose the
correct answer.
\begin{tabular}{lll|l} 
& Table \( \mathbf{A} \) & & Table \( \mathbf{B} \) \\
a. & conductor & 1. & plastic \\
b. & charge at rest & 2. & current electricity \\
c. & moving charge & 3. & electrostatic \\
d. & insulator & 4. & copper
\end{tabular}
\( \mathbf{A} \)
\( c-1, d-2, b-3, a-4 \)
B . \( d-1, c-2, a-3, b-4 \)
c. \( c-4, d-2, b-3, a-1 \)
D. \( d-1, c-2, b-3, a-4 \)
Subject: Maths
Find \( k, \) if \( f \) is continuous at \( x=0 \) wher
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{l}\frac{16^{x}-2^{x}}{k^{x}-1} \text { when } x \neq 0 \\ 3 \text { when } x=0\end{array}\right. \)
Subject: Physics
A glass prism with a refracting angle
of \( 60^{0} \) has a refractive index 1.52 for red
and 1.6 for voilet light.A parallel beam of white light is incident on one face at an angle of incidence, which gives minimum deviation for red light. Find:
\( \left[\boldsymbol{U} \boldsymbol{s} \boldsymbol{e}: \sin \left(\mathbf{5 0}^{0}\right)=\mathbf{0 . 7 6 0} ; \sin \left(\mathbf{3 1 . 6}^{\mathbf{0}}\right)=\mathbf{0}\right. \)
2.The angular width of the spectrum is;
A \( .6^{\circ} \)
B . \( 4.8^{\circ} \)
c \( \cdot 9.6^{\circ} \)
D. \( 12^{\circ} \)
Subject: Physics
Sound of frequency 1000 Hz from a stationary source is reflected from an object approaching the source at 30 \( \mathrm{m} / \mathrm{s}, \) back to a stationary observer located at the source. The speed of sound in air is \( 330 \mathrm{m} / \mathrm{s} \). The frequency
of the sound heard by the observer is
A . \( 1200 \mathrm{Hz} \)
в. 1000нz
c. 1090 н \( z \)
D. 1100нz
Subject: Maths
If \( \sqrt{\boldsymbol{y}+\boldsymbol{x}}+\sqrt{\boldsymbol{y}-\boldsymbol{x}}=\boldsymbol{c}, \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) is
equal to
This question has multiple correct options
A \( \cdot \frac{2 x}{c^{2}} \)
B. \( \frac{x}{y+\sqrt{y^{2}-x^{2}}} \)
c. \( \frac{y-\sqrt{y^{2}-x^{2}}}{x} \)
D. \( \frac{c^{2}}{2 y} \)
Subject: Physics
In the Fresnel bi-prism experiment, the refractive index for the bi-prism is \( \mu= \)
\( 3 / 2 \) and fringe width obtained is
\( 0.4 m m . \) If the whole apparatus is immersed as such in water then the
fringe width will become(refractive
index of water is \( 4 / 3 \) ).
\( \mathbf{A} \cdot 0.3 m m \)
B. \( 0.225 \mathrm{mm} \)
\( c .0 .4 m m \)
D. \( 1.2 m m \)
Subject: Chemistry
Consider an aqueous solution, \( 0.1 \mathrm{M} \)
each in \( H O C N, H C O O H,(C O O H)_{2} \)
and \( H_{3} P O_{4}, \) for \( H O C N, \) we can write \( \boldsymbol{K}_{\boldsymbol{a}}(\boldsymbol{H} \boldsymbol{O C N})=\frac{\left[\boldsymbol{H}^{+}\right]\left[\boldsymbol{O C N}^{-}\right]}{[\boldsymbol{H O C N}]} \cdot\left[\boldsymbol{H}^{+}\right] \)
in this expression refers to:
A \( . H^{+} \) ions released by \( H O C N \)
B. sum of \( H^{+} \) ions released by all monoprotic acids
C. sum of \( H^{+} \) ions released only the first dissociation of all the acids
D. overall \( H^{+} \) ion concentration in the solution
Subject: Chemistry
When molecules of type A react with molecules of type B in one-step process
to give \( A B_{2} \), then the rate law is?
A \( \cdot \) rate \( =K[A]^{1}[B]^{2} \)
B . rate \( =K[A]^{2}[B]^{1} \)
c. rate \( =K[2 A][B] \)
D. rate=K [A][B]
Subject: Physics
A thin spherical conducting shell has
radius \( R \) and charge \( q \). Another charge
\( Q \) is placed at the centre of the shell. The electric potential at a point \( \boldsymbol{P} \) at \( \mathbf{a} \)
distance \( 0.5 d \) from the centre of the
shell is :
A \( \cdot \frac{2(q+Q)}{4 \pi \epsilon_{0} R} \)
в. \( \frac{2(Q-q)}{4 \pi \epsilon_{0} R} \)
c. \( \frac{2 Q+q}{4 \pi \epsilon_{0} R} \)
D. \( \frac{2 Q}{4 \pi \epsilon_{0} R} \)
Subject: Biology
Find out the correct statement.
A. In lichens, the algal component is called phycobiont and fungal component is known as mycobiont, which are heterotrophic and autotrophic respectively.
B. Viroid contains RNA of low molecular weight and protein coat
C. A virus contains both RNA and DNA.
D. Viruses are obligatory parasites.
E. Viruses that infect plants have double stranded RNA.
Subject: Physics
If an electron is moving with velocity \( \bar{v} \) produces a magnetic field \( \bar{B} \), then
A. the direction of field \( \bar{B} \) will be same as the direction of
velocity \( \bar{v} \)
B. the direction of field \( \bar{B} \) will be opposite as the direction of velocity \( \bar{v} \)
C. the direction of field \( \bar{B} \) will be perpendicular as the direction of velocity \( \bar{v} \)
D. the direction of field \( \bar{B} \) does not depend upon the direction of velocity \( \bar{v} \)
Subject: Chemistry
Assertion
Angular momentum of \( 1 s, 2 s, 3 s, \) etc., all have spherical shape.
Reason
1s, \( 2 s, 3 s, \) etc. all have spherical shape.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is
not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Chemistry
Calculate the enthalpy changes \( (\delta H) \) of
the following reaction. \( \mathbf{2} C_{2} \boldsymbol{H}_{2(g)}+\mathbf{5} \boldsymbol{O}_{2(g)} \rightarrow \mathbf{4} \boldsymbol{C} \boldsymbol{O}_{2(g)}+ \)
\( 2 H_{2} O_{(g)} \) given average bond enthalpies of various bonds, i.e \( \boldsymbol{C}-\boldsymbol{H}, \boldsymbol{C} \equiv \)
\( \boldsymbol{C}, \boldsymbol{O}=\boldsymbol{O}, \boldsymbol{C}=\boldsymbol{O}, \boldsymbol{O}-\boldsymbol{H} \) as
414,814,499,724 and \( 640 k J m o l^{-1} \)
respectively.
Subject: Physics
A sphere has to purely roll upwards. At an instant when the velocity of sphere is
\( v, \) frictional force acting on it is
A. downwards and \( \mu \) mg cos \( \theta \)
B. downwards and \( \frac{2 m g \sin \theta}{7} \)
c. upwards and \( \mu m g \cos \theta \)
D. upwards and \( \frac{2 m g \sin \theta}{7} \)
Subject: Physics
A 100 feet long classroom maintains
seating row after every 10 feet and has doors on both front and back sides. A
laughing gas \( \left(N_{2} O\right) \) cylinder and a tear gas (methane) cylinder were opened simultaneously at the front and the back door respectively. Assuming both the gases were present at the same temperature and pressure and the cylinder has similar valve dimensions. If the student of \( n^{t h} \) row, from the front,
simultaneously weeps and laughs, the value of \( n \) is
A. 5
B. 4
\( c \cdot 6 \)
D.
Subject: Physics
In the figure shown, the lower pulley is free to move in a vertical direction only.
Block \( \boldsymbol{A} \) is given a uniform velocity \( \boldsymbol{u} \) as
shown, what is the velocity of block \( \boldsymbol{B} \)
as a function of angle \( \boldsymbol{\theta} \) ?
\( \mathbf{A} \cdot u \cos \theta \)
B. \( \frac{u}{\cos \theta} \)
c. \( \frac{u[1+\sin \theta]}{\cos \theta} \)
D. \( \frac{u[1+\cos \theta]}{\sin \theta} \)
Subject: Physics
For a string clamped at both its ends, which of the following wave equation is/are valid for a stationary wave set up in it? (Origin is at one end of string) This question has multiple correct options
A. \( y=A \sin k x . \sin \omega t \)
B. \( y=A \cos k x \sin \omega t \)
c. \( y=A \sin k x . \cos \omega t \)
D. \( y=A \cos k x \cos \omega t \)
Subject: Physics
Which of the following is not true about
the formation of winds due to uneven
heating of land at Equator and Polar
regions?
A. The winds blow from the \( 0-30^{\circ} \) latitudes, taking
place of the warm air at the equator that has risen up, towards the equator and constitute the Polar winds.
B. The cool air at the poles rushes in to take place of the
warmer winds in the \( 60^{\circ} \) belt and constitute the Polar
winds.
C. The winds of the wind is not exactly in the North-South direction because of the rotation of the Earth.
D. The pressure difference between the equatorial and polar regions leads to the formation of winds in the North-South direction
Subject: Physics
The length, breadth and height of a
glass slab are respectively \( 50 \mathrm{cm}, 20 \mathrm{cm} \)
and \( 25 c m . \) Find the order of
magnitude of volume of slab in Sl unit
A \( \cdot 10^{-2} m^{3} \)
В \( \cdot 10^{-4} m^{3} \)
\( \mathbf{c} \cdot 10^{-3} m^{3} \)
D. \( 10^{-3} \mathrm{cm}^{3} \)
Subject: Chemistry
Which of the following statements best explains the law of conservation of
mass?
A. \( 100 \mathrm{g} \) of water is heated to give steam
B. A sample of \( N_{2} \) gas is heated at constant pressure without any change in mass
c. \( 36 g \) of carbon combines with 32 g of oxygen to form \( 68 \mathrm{g} \) of \( \mathrm{CO}_{2} \)
D. 10 g of carbon is heated in vacuum without any change in mass
Subject: Maths
For the infinite series \( 1-\frac{1}{2}-\frac{1}{4}+\frac{1}{8}- \)
\( \frac{1}{16}-\frac{1}{32}+\frac{1}{54}-\frac{1}{128}-\ldots . \quad \) let \( S \) be
the (limiting) sum. Then \( S \) equals
A. 0
в. \( \frac{2}{7} \)
\( c \cdot \frac{6}{7} \)
D. \( \frac{9}{32} \)
E \( \frac{27}{32} \)