AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The maximum extension of the spring
\( \boldsymbol{x}_{\boldsymbol{m}} \) is
\( A \cdot \frac{m g}{K} \)
в. \( \frac{2 m g}{K} \)
c. \( \frac{3 m g}{K} \)
D. \( \frac{4 m g}{K} \)
Subject: Maths
Two equat ions \( \vec{r} . \vec{n}_{1}=q_{1} \) and \( \vec{r} . \vec{n}_{2}=q_{2} \)
represent two perpendicular planes, where \( \vec{n}_{1} \) and \( \vec{n}_{2} \) are two unit vectors.
One of these plane is rotated through an angle 45 about line of intersection of
two given planes then equation of plane in new position can be This question has multiple correct options
A \( \cdot \vec{r} \cdot\left(\vec{n}_{1}+\vec{n}_{2}\right)=q_{1}-q_{2} \)
В \( \cdot \vec{r} \cdot(\overrightarrow{n_{1}}+\overrightarrow{n_{2}})=q_{1}+q_{2} \)
c. \( \vec{r} .\left(\vec{n}_{1}-\vec{n}_{2}\right)=q_{1}+q_{2} \)
D \( \cdot \vec{r} \cdot(\overrightarrow{n_{1}}-\overrightarrow{n_{2}})=q_{1}-q_{2} \)
Subject: Maths
If \( y=\frac{\sqrt{x}(2 x+3)^{2}}{\sqrt{x+1}}, \) then \( \frac{d y}{d x} \) is equal to
A \( \cdot y\left[\frac{1}{2 x}+\frac{4}{2 x+3}-\frac{1}{2(x+1)}\right] \)
в. \( y\left[\frac{1}{3 x}+\frac{4}{2 x+3}+\frac{1}{2(x+1)}\right] \)
c. \( y\left[\frac{1}{3 x}+\frac{4}{2 x+3}+\frac{1}{x+1}\right. \)
D. None of these
Subject: Physics
In Millinkan's oil drop experiment, a charged oil drop of mass \( 3.2 \times 10^{-14} k g \)
is held stationary between parallel plates \( 6 m m \) apart, by applying a
potential difference of \( 1200 V \) between them. How many electrons does the oil
drop carry? \( \left(\text { Given } g=10 m s^{-2}\right) \)
A. 7
B. 8
\( c \cdot 9 \)
D. 10
Subject: Biology
Vitamin K cannot be produced by humans. What is true about the
presence of vitamin \( \mathrm{K} \) in bloodstream even though a person's diet is lacking in vitamin K?
A. Vitamin K is synthesized in the liver using hormones absorbed from ingested plant cells
B. Vitamin K is a byproduct of protein degradation during digestion.
c. Vitamin K is synthesized by bacteria that inhabit the colon
D. Vitamin K can be produced by exposure to sunlight.
E. None of the above
Subject: Chemistry
\( 16.0 \mathrm{g} \) of NaOH is present in \( 100 \mathrm{ml} \) of an aqueous solution. Its density is 1.06 g/ml. Mole fraction of the solute is approximately:
\( \mathbf{A} \cdot 25 / 27 \)
B. 2 /27
c. \( 1 / 27 \)
D. \( 26 / 27 \)
Subject: Maths
The area of the region, bounded by the curves \( \boldsymbol{y}=\sin ^{-1} \boldsymbol{x}+\boldsymbol{x}(\mathbf{1}-\boldsymbol{x}) \) and \( \boldsymbol{y}= \)
\( \sin ^{-1} x-x(1-x) \) in the first quadrant
is
\( A \cdot 1 \)
в. \( \frac{1}{2} \)
\( c \cdot \frac{1}{3} \)
D.
Subject: Chemistry
Choose the correct answer among the alternatives given:
In the reaction products are?
\[
\langle\vec{J}\rangle-\mathrm{OCH}_{3} \stackrel{\mathrm{HBr}}{\longrightarrow}
\]
\( A \)
(a) \( \quad B r-\langle\overline{\quad}\rangle-O C H_{3} \) and \( H_{2} \)
\( B \)
(b) \( \langle\vec{J}\rangle-\mathrm{Br} \) and \( \mathrm{CH}_{3} \mathrm{Br} \)
\( c \)
(c) \( \quad\langle\bar{f}\rangle-\mathrm{Br} \) and \( \mathrm{CH}_{3} \mathrm{OH} \)
\( D \)
(d) \( \langle\vec{y}\rangle-\mathrm{OH} \) and \( \mathrm{CH}_{3} \mathrm{B}_{\mathrm{r}} \)
Subject: Physics
A magnet is suspended in such a way that it oscillate it horizontal plane.
It make 20 oscillation per minute at a
place were dip angle is 30 and 15 oscillation per minute t a place were dip angle is \( 60 . \) the ratio of total magnetic field at the two place is
A . 15 oscillations/minute
в. \( 1.7 \sqrt{3} \)
c. 18 oscillations/minute
D. zero
Subject: Physics
A particle executes SHM with a period
of \( T \) seconds. \( t \) seconds after it has
crossed the equilibrium position it is at
a point \( P . \) After how much time it will be
again at \( P ? \)
A \( \cdot \frac{T}{2}-t \)
в. \( \frac{T}{4}-t \)
c. \( \frac{T}{2}-2 t \)
D. \( \frac{T}{4}-2 t \)
Subject: Chemistry
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \rightleftharpoons \boldsymbol{H}^{\oplus}+\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}^{\ominus} ; \boldsymbol{K}_{a_{1}} \)
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}^{\ominus} \rightleftharpoons \boldsymbol{H}^{\oplus}+\boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-} ; \boldsymbol{K}_{a_{2}} \)
\( \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{4}^{2-} \rightleftharpoons \boldsymbol{H}^{\oplus}+\boldsymbol{P} \boldsymbol{O}_{4}^{3-} ; \boldsymbol{K}_{a_{3}} \)
Mark out the incorrect statements
This question has multiple correct options
\( \mathbf{A} \cdot K_{a_{1}}>K_{a_{2}}>K_{a_{3}} \)
B. \( _{p H\left(H_{2} P O_{4}^{\circ}\right)=\frac{p K_{a_{1}}+p K_{a_{2}}}{2}} \)
C. Both \( H_{3} P O_{4} \) and \( H_{2} P O_{4}^{\odot} \) are more acidic than \( H P O_{4}^{2} \)
D. only \( H P O_{4}^{2-} \) is amphiprotic anion in the solution
Subject: Maths
If \( \boldsymbol{A}=\{\mathbf{5}, \mathbf{7}\}, \boldsymbol{B}=\{\mathbf{7}, \mathbf{9}\} \) and \( \boldsymbol{C}= \)
\( \{7,9,11\}, \) find \( (A \times B) \cup(A \times C) \)
B . \{(5,7),(5,9),(5,11),(7,7),(7,9),(7,11)\}
c. \{(5,5),(5,9),(5,11),(7,7),(7,9),(7,11)\}
D. none of these
Subject: Maths
\( \mathrm{ff}=\left[\begin{array}{ccc}\boldsymbol{a} & \mathbf{0} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \boldsymbol{a} & \mathbf{0} \\ {[\mathbf{0 . 3 e m}] \mathbf{0}} & \mathbf{0} & \boldsymbol{a}\end{array}\right], \) then the value
of IAdj. Al is equal to
A \( \cdot a^{3} \)
в. \( a^{6} \)
\( c \cdot a^{9} \)
\( \mathbf{D} \cdot a^{2} \)
Subject: Physics
Microwaves from a transmitter are
directed normally toward a plane reflector. A detector moves along the normal to the reflector. Between
positions of 14 successive maxima the
detector travels a distance 0.14 m. The
frequency of the transmitter is \( (c= \) \( 3 \times 10^{8} m s^{-1} \)
A. \( 1.5 \times 10^{10} \mathrm{Hz} \)
в. \( 10^{10} \mathrm{Hz} \)
c. \( 3 \times 10^{10} H z \)
D. \( 6 \times 10^{10} \mathrm{Hz} \)
Subject: Maths
n figure the sides \( A B \) and \( A C \) of \( \Delta A B C \)
are produced to point \( \mathrm{E} \) and \( \mathrm{D} \) repectively. If bisector BO and CO of
\( \angle C B E \) and \( \angle B C D \) respectively meet a point \( 0, \) then \( \angle B O C=90^{\circ}-\frac{1}{2} \angle B A C \)
Subject: Physics
A block of mass \( 2.9 \mathrm{kg} \) slides over a frictional floor. If it slides \( 10 \mathrm{m} \) in \( 5 \mathrm{s} \)
before coming to rest. Calculate the force of friction on the ball.
A . - 4N
B . - 1.6
c. - 0.8N
D. - 5N
E . - 2.32N
Subject: Physics
Assertion
Charge on all the condensers connected in series is the same.
Reason
Charge present on a capacitor is directly proportional to its capacitance
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: Maths
If \( a=\frac{1}{3-2 \sqrt{2}}, b=\frac{1}{3+2 \sqrt{2}} \) then the value
of \( \boldsymbol{a}^{\mathbf{3}}+\boldsymbol{b}^{\mathbf{3}} \) is:
A \( \cdot 194 \)
B. 200
c. 198
D. 196
Subject: Physics
A charged particle of mass \( 5 \times 10^{-6} \mathrm{kg} \)
is held stationary in space by placing it
in an electric field of strength \( 10^{6} N C^{-1} \) directed vertically downwards. The charge of the particle is \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-\mathbf{2}}\right): \)
A. \( -20 \times 10^{-4} \mu C \)
B. \( -5 \times 10^{-5} \mu C \)
c. \( 5 \times 10^{-11} \mu C \)
D. \( 20 \times 10^{-5} \mu C \)
Subject: Chemistry
An endothermic reaction \( A \rightarrow B \) have
an activation energy 15 kcal/mol and the heat of reaction is 5 kcal/mol. The
activation energy of the reaction \( \boldsymbol{B} \rightarrow \)
\( \boldsymbol{A} \) is:
A . 20 kcal/mol
B. 15 kcal/mol
c. 10 kcal/mol
D. zero
Subject: Maths
If \( \Delta A B C \) is an isosceles triangle and
midpoints \( D, E, \) and \( F \) of \( A B, B C, \) and
\( C A \) respectively are joined, then \( \Delta D E F \) is:
A. Equilateral
B. Isosceles
c. Scalene
D. Right-angled
Subject: Chemistry
Among the following, the surfactant that will form micelles in aqueous
solution at the lowest molar
concentration at ambient conditions is :
A \( \cdot \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{15} \mathrm{N}^{+}\left(\mathrm{CH}_{3}\right)_{3} \mathrm{Br} \)
B. \( \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{11} \mathrm{OSO}_{3}^{-} \mathrm{Na}^{+} \)
\( \mathrm{c} \cdot \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{6} \mathrm{COO}^{-} \mathrm{Na}^{+} \)
D. \( \mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{11} \mathrm{N}^{+}\left(\mathrm{CH}_{3}\right)_{3} \mathrm{Br} \)
Subject: Chemistry
Consider the following reaction, taking
place in a container fitted with a movable piston.
\( 2 S O_{2}(g)+O_{2}(g) \rightarrow 2 S O_{3}(g) \)
Suppose we place two moles each of
\( \boldsymbol{S O}_{2} \) and \( \boldsymbol{O}_{2} \) in the reaction vessel at
\( 25^{\circ} \mathrm{C}, \) and adjust the volume to give a
total pressure of 1.0 atm. The reaction
is ignited by a spark, and goes to completion. The temperature is
returned to \( 25^{\circ} \mathrm{C} \)
Which of the following best describes this system after reaction is complete?
\( A \cdot S O_{2} \) is limiting. The volume of the system remains the same
B. Neither reactant is limiting. The volume of the system decreases
C. \( S O_{2} \) is limiting. The volume of the system decreases.
D. \( O_{2} \) is limiting. The volume of the system remains the same
Subject: Physics
An unbanked curve has a radius of
\( 60 m . \) The maximum speed at which a
car can make a turn if the coefficient of
static friction is \( 0.75, \) is:
A . \( 2.1 \mathrm{m} / \mathrm{s} \)
в. \( 145 \mathrm{m} / \mathrm{s} \)
c. \( 21 \mathrm{m} / \mathrm{s} \)
D. \( 7 \mathrm{m} / \mathrm{s} \)
Subject: Physics
A force of \( 500 N \) acts on a square piece of plywood, each of whose sides is \( 5 m \)
long. Calculate the pressure acting on the piece of plywood.
A \( .500 \mathrm{Nm}^{-2} \)
B. \( 100 N m^{-2} \)
c. \( 2500 N m^{-2} \)
D. \( 20 N m^{-2} \)
Subject: Maths
\( \int(\log x)^{2} d x= \)
A \( \cdot x\left[(\log x)^{2}-2 \log x+2\right]+c \)
B . \( x\left[(\log x)^{2}+2 \log x+2\right]+c \)
C \( \cdot\left[(\log x)^{2}-2 \log x+2\right]+c \)
D. \( \left[(\log x)^{2}+2 \log x+2\right]+c \)
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{4} & \mathbf{2} \\ \mathbf{- 1} & \mathbf{1}\end{array}\right], \) then \( (\boldsymbol{A}-\mathbf{2} \boldsymbol{I})(\boldsymbol{A}-\mathbf{3} \boldsymbol{I}) \)
equals-
\( \mathbf{A} \cdot \mathbf{0} \)
в.
c. \( I \)
D. \( 5 I \)
Subject: Biology
A person can hold his breath longer if he gradually exhales than if he keeps his lungs fully expanded. This phenomenon is due to the fact that
A. the concentration of \( \mathrm{CO}_{2} \), in the blood decreases lessening the excitatory input to the carotid bodies
B. he is then using less 0 , as his thoracic muscles are not working as hard
c. stretch receptors in his lungs are then not firing as much thus lessening the excitatory input to the expiratory centress
D. he is preventing the pressure in his lungs from increasing too much
Subject: Physics
A box of negligible mass containing 2
moles of an ideal gas of molar mass \( M \)
and adiabatic exponent \( \gamma \) moves with
constant speed \( \boldsymbol{v} \) on a smooth
horizontal surface. If the box suddenly
stops, then change in temperature of
gas will be
A \( \cdot \frac{(\gamma-1) M v^{2}}{4 R} \)
B. \( \frac{\gamma M v^{2}}{2 R} \)
c. \( \frac{M v^{2}}{2(\gamma-1) R} \)
D. \( \frac{(\gamma-1) M v^{2}}{2 R} \)
Subject: Chemistry
Complete the following:
\( \left(\boldsymbol{C H}_{3} \boldsymbol{C O O}\right)_{2} \boldsymbol{P b}+\boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{S} \stackrel{\boldsymbol{H}+}{\longrightarrow} \)
\( \mathbf{H} \)
Subject: Physics
Calculate the work done by electric field
when a point charge q is moved from
point \( \mathrm{B} \) to \( \mathrm{A} \) along the curved path. Given that electric field is created by the
stationary charge \( \mathrm{Q} \) and \( V_{A}= \)
\( 200 V, V_{B}=100 V, q=0.05 C, \) length of line
segment \( A B=10 \mathrm{cm}, \) length of curved
path \( =20 \mathrm{cm} \)
A . O
B. 5
c. 10
D. 15 J
E. 20
Subject: Maths
Which of the following is/are true regarding the following linear equation:
\( y=\frac{3}{2} x+\frac{2}{3} \)
A \( \cdot \) It passes through \( \left(0, \frac{2}{3}\right) \) and \( m=\frac{3}{2} \)
B. It passes through \( \left(0, \frac{3}{2}\right) \) and \( m=\frac{2}{3} \)
\( ^{\mathbf{c}} \cdot \) it passes through \( \left(0,-\frac{2}{3}\right) \) and \( m=-\frac{3}{2} \)
D. It passes through \( \left(0,-\frac{3}{2}\right) \) and \( m=-\frac{2}{3} \)
Subject: Physics
The potential energy of a proton is \( 3.2 \times 10^{-18} J \) at a particular point. The
electric potential at this point is:
(Given charge on a proton is \( 1.6 \times \)
\( \left.\mathbf{1 0}^{-\mathbf{1 9}} \boldsymbol{C}\right) \)
A . \( 5 V \)
B. \( 10 V \)
\( c .20 V \)
D. \( 15 V \)
Subject: Chemistry
When \( Z n S \) and \( P b S \) minerals are
present together, then \( N a C N \) is added
to separate them in the froth flotation
process as a depressant, because:
A \( \cdot P b(C N)_{2} \) precipitated while no effect on \( Z n S \)
B. \( Z n S \) forms soluble complex \( N a_{2} Z n(C N)_{4} \)
C. \( P b S \) forms soluble complex \( N a_{2} P b(C N) \)
D. both \( (a) \) and \( (b) \)
Subject: Chemistry
Ionization energy of \( \boldsymbol{H} \boldsymbol{e}^{+} \) is \( \mathbf{1 9 . 6} \times \) \( 10^{-18} \) Jatom\( ^{-1} . \) The energy of the first
stationary state \( (n=1) \) of \( L i^{2+} \) is
A \( .4 .41 \times 10^{-16} \) Jatom \( ^{-1} \)
B. \( -4.41 \times 10^{-17} \) Jatom\( ^{-1} \)
C . \( -2.2 \times 10^{-15} \) Jatom \( ^{-1} \)
D. \( -8.82 \times 10^{-17} \) Jatom\( ^{-1} \)
Subject: Physics
Assertion
A raindrop after falling through some height attains a constant velocity
Reason
At constant velocity, the viscous drag is
just equal to its weight.
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 ball of mass \( \frac{1}{10} \mathrm{kg} \) is thrown against a wall. It strikes the wall normally with a velocity of \( 30 m s^{-1} \) and rebounds from
there with a velocity \( 20 m s^{-1} \). The
impulse of the force exerted by the ball on the wall is
A. 0.5Ns
B. 50Ns
\( c \cdot 5 N s \)
D. 1Ns
Subject: Chemistry
A \( 10 \% \) (mass/mass) solution of cane sugar undergoes partial conversion into glucose and fructose to show an inversion of cane sugar as:
Sucrose\( + \)Water\( \rightarrow \)Glucose\( + \)
Fructose
The solution boils at \( 100.27^{\circ} \mathrm{C} \) at this
state. What fraction of the sugar has
inverted? \( \left(\text { Given } \boldsymbol{K}_{\boldsymbol{b}} \text { for } \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O} \) is \right.
\( \left.0.512 K m o l^{-1} k g\right) \)
Multiply answer with 10 and write the nearest integer value.
Subject: Chemistry
Which of the following electronic configuration shows that the atom is in excited state?
B . \( 1 s^{2} 2 s^{2} 2 p^{4} \)
\( \mathrm{c} \cdot 1 s^{2} 2 s^{2} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} \)
E \( \cdot 1 s^{2} 2 s^{2} 3 s^{1} \)
Subject: Chemistry
Which of the following can be used for protection of carbonyl group:
This question has multiple correct options
A. \( C H_{2} O H-C H_{2} O H / H \)
в. \( C H_{2} O H-C H_{2}-C H_{2} O H / H \)
c. \( H S-\left(C H_{2}\right)_{3}-S H \)
D. \( C H_{2} O H-C H_{2}-C H O \)
Subject: Physics
Two balls initially moving in same
direction with speed \( 10 m s^{-1} \) and
\( 5 m s^{-1} \) make a head-on collision. After
collision, they move with speed \( 4 m s^{-1} \)
and \( 6 m s^{-1} \) in the same direction. Coefficient of restitution of collision is :
A . 0.2
B. 0.4
\( c \cdot 0.6 \)
D. 0.8
Subject: Physics
In the given figure, what is the magnetic field induction at point 0
A \( \cdot \frac{\mu_{0} l}{4 \pi r} \)
в. \( \frac{\mu_{0} l}{4 r}+\frac{\mu_{0} l}{2 \pi r} \)
c. \( \frac{\mu_{o} l}{4 r}+\frac{\mu_{0} l}{4 \pi r} \)
D. \( \frac{\mu_{0} l}{4 r}-\frac{\mu_{0} l}{4 \pi r} \)
Subject: Chemistry
The heat required (in \( c a l \) ) to change 10 g
ice at \( 0^{\circ} \mathrm{C} \) to steam at \( 100^{\circ} \mathrm{C} \) is:

I Heat of fusion and heat of vaporization
for \( \boldsymbol{H}_{2} \boldsymbol{O} \) are \( \boldsymbol{8} \boldsymbol{0} \boldsymbol{c} \boldsymbol{a} \boldsymbol{l} / \boldsymbol{g} \) and \( \boldsymbol{5} \boldsymbol{4} \boldsymbol{\theta} \boldsymbol{g} \)
respectively. Specific heat of water is \( \mathbf{1} \boldsymbol{c a l} / \boldsymbol{g}] \)
Subject: Physics
Two similar parallel plate capacitors
each of capacity \( C_{o} \) are connected in
series, The combination is connected
with a voltage source of \( V_{o} . \) Now
separation between the plates of one
capacitor is increased by a distance \( \boldsymbol{d} \)
and the separation between the plates of another capacitor is decreased by the
distance \( d / 2 \) The distance between the
plates of each capacitor was \( \boldsymbol{d} \) before the change in separation. Then, select the correct choice :
A. the new capacity of the system will increase
B. the new capacity of the system will decrease
c. the new capacity of the system will remain same
D. data insufficient
Subject: Chemistry
Assertion: Reactions happen faster at higher temperatures.
Reason: As temperatures increase, there is also an increase in the number
of collisions with the required
activation energy for a reaction to occur
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
Which of the following statement(s)
regarding nitrogen sesquioxide is/are
not correct?
A. Dinitrogen sesquioxide is stable only in the liquid state. It dissociates in the vapour phase.
B. Dinitrogen sesquioxide is a neutral oxide
C. Dinitrogen sesquioxide contains a weak \( N-N \) bond.
D. Dinitrogen sesquioxide exists in two different crystalline forms.
Subject: Chemistry
Which of the following is diamagnetic in nature?
\( \mathbf{A} \cdot\left[F e(C N)_{6}\right]^{3-} \)
B. \( N i C l_{4}^{2} \)
\( \mathbf{c} \cdot\left[N i(C O)_{4}\right] \)
D. \( \left[M n C l_{4}\right]^{2-} \)
Subject: Physics
The primary and secondary coil of a transformer have 50 and 1500 turns
respectively. If the magnetic flux \( \phi \) linked with primary coil is given by
\( \phi=\phi_{0}+4 t, \) where is in webers, \( t \) is
time in seconds and \( \phi \) is a constant, the
output voltage across the secondary coil is:
\( A \cdot 150 V \)
B. 90
c. \( 120 v \)
D. \( 180 \mathrm{V} \)
Subject: Physics
Fill in the blanks:
(a) The planet which is farthest from the Sun is
(b) The planet which appears reddish in colour is
(c) A group of stars that appear to form a pattern in the sky is known as
(d) A celestial body that revolves around a planet is known as
(e) Shooting stars are actually not
(f) Asteroids are found between the
orbits of \( \quad \) and
Subject: Physics
Assertion
A spaceship while entering the earth's atmosphere is likely to catch fire.
Reason
The temperature of upper atmosphere is very high.
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: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & 2 & -3 \\ 5 & 0 & 2 \\ 1-1 & 1\end{array}\right], B=\left[\begin{array}{ccc}3 & -12 \\ 4 & 2 & 5 \\ 2 & 0 & 3\end{array}\right] \) and
\( \boldsymbol{C}=\left[\begin{array}{ccc}\mathbf{4} & \mathbf{1} & \mathbf{2} \\ \mathbf{0} & \mathbf{3} & \mathbf{2} \\ \mathbf{1}-\mathbf{2 3}\end{array}\right], \) then compute \( (\boldsymbol{A}+\boldsymbol{B}) \)
and \( (B-C) \)
Also, verify that \( \boldsymbol{A}+(\boldsymbol{B}-\boldsymbol{C})= \)
\( (\boldsymbol{A}+\boldsymbol{B})-\boldsymbol{C} \)
Subject: Physics
Two fixed point charges \( +4 e \) and \( +e \) are
separated by a distance a. Where should the third point charge be placed
from \( +4 e \) charge for it to be in equilibrium?
A \( \cdot \frac{2}{3} a \)
в. \( \frac{4}{3} a \)
\( c \cdot \frac{1}{3} a \)
D. None of these
Subject: Chemistry
What is the percentage dissociation of
\( 0.1 \mathrm{M} \) solution of acetic acid? \( \left(\boldsymbol{K}_{\boldsymbol{a}}=\right. \)
\( \left.10^{-5}\right) \)
A . \( 10 \% \)
B. \( 100 \% \)
\( c \cdot 1 \% \)
D. \( 0.01 \% \)
Subject: Maths
If \( f(x)=27 x^{3}+\frac{1}{x^{3}} \) and \( \alpha, \beta \) are the roots of \( \mathbf{3} \boldsymbol{x}+\frac{\mathbf{1}}{\boldsymbol{x}}=\mathbf{2} \) is
This question has multiple correct options
A \( . f(\alpha)=f(\beta) \)
В. \( f(\alpha)=10 \)
c. \( f(\beta)=-10 \)
D. none of these
Subject: Chemistry
For a first-order reaction, \( \boldsymbol{A} \rightarrow \) Product
the initial concentration of \( A \) is \( 0.1 \mathrm{M} \) and
after 40 minutes it becomes 0.025 M.
Calculate the rate of reaction at
reactant concentration of \( 0.01 \mathrm{M} \)
A \( \cdot 3.47 \times 10^{-4} \mathrm{M} \cdot \min ^{-1} \)
В. \( 3.47 \times 10^{-5} \mathrm{M} \cdot \min ^{-1} \)
c. \( 1.735 \times 10^{-6} \) M. \( \min ^{-1} \)
D. \( 1.735 \times 10^{-4} \mathrm{M} . \min ^{-1} \)
Subject: Chemistry
In the galvanic cell :
\( Z n / Z n^{2+}\left(C_{1}\right) \| C u^{2+}\left(C_{2}\right) / C u \)
\( \boldsymbol{E}_{c e l l}-\boldsymbol{E}_{c e l l}^{o}=+\mathbf{0 . 0 5 9 1} \boldsymbol{V} . \) The value of
\( \frac{C_{1}}{C_{2}} \) at \( 298 K \) is:
A \( \cdot 10^{-1} \)
B. \( 10^{2} \)
\( c \cdot 10^{-2} \)
D. 10
Subject: Chemistry
An ore contains \( 1.34 \% \) of the mineral
argentite, \( A g_{2} S \) by mass. How many gram of this ore would have to be
processed in order to obtain \( 1.00 g \) of pure solid silver, \( \boldsymbol{A} \boldsymbol{g} \) ?
A. \( 74.6 g \)
в. \( 85.7 g \)
c. \( 107.9 g \)
D. \( 134.0 g \)
Subject: Maths
Number of children in six different
classes are given below. Represent the data on a bar graph.
Class: \( \quad \) v \( \quad \) v। \( \quad \) vll \( \quad \) vı
Number of \( \begin{array}{llll}135 & 120 & 95 & 100\end{array} \)
children
Which class has the maximum number
of children?
Subject: Maths
In a certain population \( 10 \% \) of the people are rich, \( 5 \% \) are famous and \( 3 \% \) are rich and famous. The probability that a person picked at random from the population is either famous or rich but not both, is equal to
A . 0.07
B. 0.08
c. 0.09
D. 0.12
Subject: Physics
If \( L \) and \( R \) denote inductance and
resistance then dimension of \( L / R \) is
\( \mathbf{A} \cdot\left[M^{0} L^{0} T^{0}\right] \)
в. \( \left[M^{0} L^{0} T\right] \)
\( \mathbf{c} \cdot\left[M^{2} L^{0} T^{2}\right] \)
D \cdot \( \left[M L T^{2}\right]^{2} \)
Subject: Maths
If \( A \) is a square of order 3 , then
\( \left|\boldsymbol{A} \boldsymbol{d} \boldsymbol{j}\left(\boldsymbol{A} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}^{2}\right)\right|= \)
\( \mathbf{A} \cdot|A|^{2} \)
B . \( |A|^{4} \)
c. \( |A|^{8} \)
D・ \( |A|^{1} \)
Subject: Maths
Show that each of the relation \( R \) in the
\( \operatorname{set} A=\{x \in Z: 0 \leq x \leq 12\}, \) given by
(i) \( \boldsymbol{R}= \)
\( \{(a, b):|a-b| \text { is a multiple of } 4\} \)
(ii) \( \boldsymbol{R}=\{(\boldsymbol{a}, \boldsymbol{b}): \boldsymbol{a}=\boldsymbol{b}\} \)
is an equivalence relation. Find the set of all elements related to 1 in each case.
Subject: Maths
A vector of length \( l \) is turned through
the angle \( \theta \) about its tail. What is the
change in the position vector of its head-
A. \( l \cos (\theta / 2) \)
B. \( 2 l \sin (\theta / 2) \)
c. \( 2 l \cos (\theta / 2) \)
D. \( l \sin (\theta / 2) \)