AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
The electrical resistance in ohms of a
certain thermometer varies with
temperature according to the approximate law:
\( \boldsymbol{R}=\boldsymbol{R}_{\boldsymbol{o}}\left[\mathbf{1}+\boldsymbol{\alpha}\left(\boldsymbol{T}-\boldsymbol{T}_{\boldsymbol{o}}\right)\right] \)
The resistance is \( 101.6 \Omega \) at the triple-
point of water \( 273.16 \mathrm{K}, \) and \( 165.5 \Omega \) at the normal melting point of lead (600.5
K). What is the temperature when the resistance is \( 123.4 \Omega ? \)
Subject: Chemistry
If the concentration of water vapour in
the air is \( 1 \% \) and the total atmospheric pressure equals 1 atm, then the partial
pressure of water vapour is?
A. \( 0.1 \mathrm{atm} \)
В. \( 1 \mathrm{mm} \) нв
\( \mathbf{c} .7 .6 \mathrm{mm} \mathrm{Hg} \)
D. 100 atm
Subject: Physics
Consider the following two statements A and B and identify the correct choice:
A) The rotational kinetic energy of a rolling body is always greater than its translational kinetic energy.
B) The maximum value of radius of
gyration of a rolling body cannot be greater than the radius of that body.
A. A is true but B is false
B. A is false but B is true
c. Both A and B are true
D. Both A and B are false
Subject: Maths
\( \int x \sec x^{2} d x \) is equal to
A \( \cdot \frac{1}{2} \log \left(\sec x^{2}+\tan x^{2}\right)+k \)
в. \( \frac{x^{2}}{2} \log \left(\sec x^{2}+\tan x^{2}\right)+k \)
c. \( 2 \log \left(\sec x^{2}=\tan x^{2}\right)+k \)
D. None of these
Subject: Physics
It is proposed to use the nuclear fusion reaction \( _{1} H^{2}+_{1} H^{2} \longrightarrow H e^{4} \) in a
nuclear reactor with an electrical power
rating of \( 200 M W . \) If the energy form
the above reaction is used with 25
percent efficiency in the reactor, how many grams of deuterium fuel will be
needed per day? (The masses of \( _{1} \boldsymbol{H}^{2} \)
and \( _{2} H e^{4} \) are \( 2.0141 a m u \) and 4.0026 amu respectively.)
Subject: Maths
The tangents drawn from the origin to the circle \( x^{2}+y^{2}+2 g x+2 f y+f^{2}= \)
0 are perpendicular, if
A. \( g=f \)
в. \( g=2 f \)
c. \( 2 g=f \)
D. \( 3 g=f \)
Subject: Physics
A spherical balloon rises up and the
radius become twice that on the ground.
Assuming temperature to be constant
the pressure at that altitude is
A. \( 1 / 3 \) rd of that on the earth
B. \( 1 / \) 9th that on the earth's surface
C. \( 1 / 8 \) times of that on the earth's surface
D. 3 times of that on the surface of the earth
Subject: Chemistry
Which of the following statements
related to VA group hydrides are true?
I. Reducing property increases from \( \mathrm{NH}_{3} \)
to BiH \( _{3} \)
II. Tendency to donate lone pair
decreases from \( \mathrm{NH}_{3} \) to \( \mathrm{BiH}_{3} \)
III. Ease of replacing H with Cl decreases
from \( \mathrm{NH}_{3} \) to \( \mathrm{BiH}_{3} \)
IV. Ease of formation of hydrides
decreases from \( \mathrm{NH}_{3} \) to \( \mathrm{BiH}_{3} \)
A. I, \( , \) I, II and 1 V
B. I, III and IV
c. I, II and IV
D. I and IV
Subject: Maths
Find the value of: \( \left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \boldsymbol{x}^{2} & \boldsymbol{y}^{2} & \boldsymbol{z}^{2} \\ \boldsymbol{x}^{3} & \boldsymbol{y}^{3} & \boldsymbol{z}^{3}\end{array}\right| \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( (x-y)(y-z)(z-x)(x y+y z+z x) \)
C. \( (x+y x+z x)(x+y)(y+z)(z+x) \)
D. \( (x+y+z) \)
Subject: Chemistry
The plot of \( \log \left(\frac{x}{m}\right) \) vs \( \log P \) showing a straight line parallel to X-axis reveals that:
\( \mathbf{A} \cdot n=0 \)
B. \( \frac{1}{n}=0 \)
c. \( P=0 \)
D. \( \log P= \) constant
Subject: Maths
\( \frac{(1+i)^{3}}{2+i} \) is equal to
A \( \cdot \frac{2}{5}-\frac{6}{5} \)
B.
c. \( -\frac{1}{5}+\frac{6}{5} i \)
D. \( -\frac{2}{5}+\frac{6}{5} \)
Subject: Maths
\( \sin ^{-1} x+\sin ^{-1}\left(\frac{1}{x}\right)+\cos ^{-1} x+ \)
\( \cos ^{-1}\left(\frac{1}{x}\right)= \)
\( \mathbf{A} \cdot \pi \)
\( B \cdot \frac{\pi}{2} \)
\( c \cdot \frac{3 \pi}{2} \)
D. \( 2 \pi \)
Subject: Chemistry
Ozone reacts with \( \boldsymbol{K}_{\mathbf{4}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\mathbf{6}}\right] \) to
form:
A. \( F e_{2} O_{3} \)
B \( \cdot \operatorname{Fe}(O H)_{3} \)
\( \mathbf{c} \cdot F e(O H)_{2} \)
D. \( K_{3}\left[F e(C N)_{6}\right] \)
Subject: Chemistry
For the manufacture of cement various
steps are given below. Arrange the steps in a proper sequence.
(a) Clinker formation
Crushing
(c) Addition of gypsum Mixing of raw materials
(e) Grinding to fine powder Calcination in rotary kiln
\( A \cdot d b f a c e \)
B. \( b d f \) c e a
c. \( d c \) a fe \( b \)
D. a b c de f
Subject: Maths
\( \operatorname{Let} \boldsymbol{P}(\boldsymbol{n})=\mathbf{5}^{n}-\mathbf{2}^{n} . \boldsymbol{P}(\boldsymbol{n}) \) is divisible by
\( 3 \lambda \) where \( \lambda \) and \( n \) both are odd positive integers, then the least value of \( n \) and \( \lambda \)
will be
A . 13
B. 11
\( c \cdot 1 \)
D. 5
Subject: Maths
For any four points \( P, Q, R, S \) \( |\overrightarrow{P Q} \times \overrightarrow{\boldsymbol{R}} \boldsymbol{S}-\overrightarrow{\boldsymbol{Q} \boldsymbol{R}} \times \overrightarrow{\boldsymbol{P}} \boldsymbol{S}+\overrightarrow{\boldsymbol{R}} \boldsymbol{P} \times \overrightarrow{\boldsymbol{Q}} \boldsymbol{S}| \) is
equal to 4 times the area of the triangle.
A. PQR
B. QRS
c. PRS
D. PQS
Subject: Chemistry
For the cell
\( \boldsymbol{P t}, \boldsymbol{H}_{2}(\boldsymbol{g}) \mid \boldsymbol{2} \boldsymbol{M} \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C O O N} \boldsymbol{H}_{4} \| \mathbf{2} M \boldsymbol{n} \)
20
\( \operatorname{atm} \quad 0.2 \operatorname{atm} \)
Given \( : \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{a}}\left(\boldsymbol{C H}_{3} \boldsymbol{C O O H}\right)=\mathbf{4 . 7 4} \) and
\( \boldsymbol{p} \boldsymbol{K}_{\boldsymbol{b}}\left(\boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H}\right)=\mathbf{4 . 7 4} \)
EMF of the cell in millivolt is: (Given
\( \left.\frac{2.303 R T}{F}=0.059\right) \)
Subject: Physics
A \( 15 g \) ball is shot from a spring gun
whose spring has a force constant
\( 600 N m^{-1} . \) The spring is compressed
by \( 5 \mathrm{cm} . \) The greatest possible
horizontal range of the ball for this
compression (Take \( \left.\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} \boldsymbol{s}^{-2}\right) \)
\( \mathbf{A} \cdot 6 m \)
B. \( 8 m \)
\( \mathrm{c} .10 \mathrm{m} \)
D. 12 \( m \)
Subject: Maths
Solve \( \int \frac{\sqrt{1-x^{2}}+\sqrt{1+x^{2}}}{\sqrt{1-x^{4}}} d x \)
\( \mathbf{A} \cdot I=\log |x-\sqrt{1+x^{2}}|+\sin ^{-1} x+c \)
B . \( I=\log |x+\sqrt{1+x^{2}}|+\sin ^{-1} x+c \)
\( \mathbf{C} \cdot I=\log |x+\sqrt{1+x^{2}}|-\sin ^{-1} x+c \)
D. None of these
Subject: Chemistry
IUPAC name of the compound \( \boldsymbol{C H}_{3}- \) \( \boldsymbol{C H}_{2}-\stackrel{0}{\boldsymbol{C}}-\boldsymbol{C H}_{2}-\stackrel{0}{\boldsymbol{C}}-\boldsymbol{C O O H} \)
A. hexanedione - 2, 4-ic-1-oic acid
B. 2, 4- dioxohexanoic acid
c. propionyl-dioxo-oic acid
D. none of these
Subject: Chemistry
Match the following
\( \begin{array}{lll}\text { S.No } & \text { Source } & \text { Acid present } \\ 1 . & \text { Apple } & \text { Oxalic acid } \\ 2 . & \text { Lemon } & \text { Tartaric acid } \\ 3 . & \text { Grape } & \text { Malic Acid } \\ 4 . & \text { Tomato } & \text { Citric Acid }\end{array} \)
Subject: Chemistry
A reaction is catalysed by \( \boldsymbol{H}^{+} \) ion. In presence of HA, rate constant is \( 2 \times \)
\( 10^{-3} \) min \( ^{-1} \) and in presence of HB rate
constant is \( 1 \times 10^{-3} \) min \( ^{-1} \), HA and HB
both being strong acids, we may conclude that:

This question has multiple correct options
A . equilibrium constant is 2
B. HA is stronger acid than HB.
c. relative acidic strength of HA and HB is 2.
D. HA is weaker acid than HB and relative strength is 0.5
Subject: Chemistry
Assertion
A greenish layer appears on copper vessels, if left uncleaned.
Reason
It is due to the formation of a layer of basic copper carbonate.
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
The value of D.I. \( \int_{-2010}^{2010} x^{2010} \cot ^{-1}(2010 x) d x \) is equal to
A \( \cdot \frac{\pi}{2011}(2011)^{2010} \)
B. \( \frac{\pi}{2010}(2010)^{2011} \)
C. \( \frac{\pi}{2011}(2010)^{2011} \)
D. \( \frac{\pi}{2010}(2011)^{2010} \)
Subject: Chemistry
Which of the following arrangements does not represent the correct order of
the property stated against it? This question has multiple correct options
A \( \cdot N i^{2+}<C o^{2+}<F e^{2+}<M n^{2+}: \) lonic size
B . \( C o^{3+}<F e^{3+}<C r^{3+}<S c^{3+}: \) Stability in aqueous solution
c. \( S c<T i<C r<M n \) : Number of oxidation states
D. \( V^{2+}<C r^{2+}<M n^{2+}<F e^{2+}: \) Paramagnetic
behaviour
Subject: Chemistry
A considerable part of the harmful \( \boldsymbol{U} \boldsymbol{V} \)
rays of the sum does not reach the
surface of the earth. This is because
high above the earth's atmosphere, there is a layer of
\( A \cdot O_{3} \)
в. \( C O_{2} \)
\( c \cdot S O_{2} \)
D. \( N O \)
Subject: Physics
Two sound speakers are driven in phase by an audio amplifier at frequency \( 600 H z . \) The speed of sound is \( 340 m / s \) The speakers are on the \( y \) -axis, one at
\( \boldsymbol{y}=+1.0 \boldsymbol{m} \) and the other at \( \boldsymbol{y}= \)
\( -1.0 m . \) A listener begins at \( y=0 \) and
walks along a line parallel to the \( y \) -axis at a very large distance \( x \) away. At \( \frac{\theta}{2} \) angle she will first hear a maximum
\( \left(\operatorname{after} 0^{\circ}\right) \) sound intensity. Find \( \theta: \)
Subject: Chemistry
Match the List-I with List-II and List-III:
List - I
(Ouantity) List - II
(Symbol) (Quantity)
(a) Conductivity
\( (p) \)
\( \wedge_{m} \)
\( (b) \)
Cell
constant
\( (q) \)
\( K \)
(c) Molar
conductance \( \quad(\mathrm{r}) \quad \wedge_{e} \)
(d) Equivalent
conductance \( \quad(\mathrm{s}) \)
\( \mathbf{A} \cdot(a-q, u),(b-s, v),(c-d, w),(d-r, x) \)
B . \( (a-q, u),(b-s, v),(c-p, w),(d-r, x) \)
C \( .(a-b, u),(b-s, v),(c-p, w),(d-r, x) \)
D . \( (a-p, u),(b-s, v),(c-p, w),(d-r, x) \)
Subject: Maths
Consider the functions, \( \boldsymbol{f}(\boldsymbol{x})=\mid \boldsymbol{x} \)
\( \mathbf{2}|+| \boldsymbol{x}-\mathbf{5} \mid, \boldsymbol{x} \in \boldsymbol{R} \)
Statement 1: \( \boldsymbol{f}^{\prime}(\mathbf{4})=\mathbf{0} \)
Statement \( 2: f \) is continuous in [2,5] differentiable in (2,5) and \( f(2)=f(5) \)
A. Statement 1 is false, Statement 2 is true
B. Statement 1 is true, Statement 2 is true; Statement 2 is correct explanation for Statement
c. statement 1 is true, statement 2 is true; Statement 2 is not a correct explanation for Statement 1
D. Statement 1 is true, Statement 2 is false
Subject: Chemistry
Which of the following statements is
correct?
A. The maximum number of unpaired electrons in a subshell is equal to \( 2 l+1 \)
B. The maximum value of magnetic moment for an atom with \( l=2 \) subshell is 3.9
C. The total spin of \( 3 d^{6} \) configuration is 3.
D. Both A and B
Subject: Chemistry
Ethyl mercaptan is prepared by the reaction of the following, followed by hydrolysis:
A \( \cdot C_{2} H_{5} M g B r+S O_{2} \)
B. \( C_{2} H_{5} M g B r+S \)
c. \( C_{2} H_{5} M g B r+C S_{2} \)
D. \( C_{2} H_{5} M g B r+H_{2} S \)
Subject: Chemistry
The van der Waals forces in halogens increase in the order:
A \( \cdot \mathrm{F}_{2}<\mathrm{Cl}_{2}<\mathrm{Br}_{2}<\mathrm{I}_{2} \)
В \( \cdot I_{2}>\mathrm{Cl}_{2}>\mathrm{Br}_{2}>\mathrm{F}_{2} \)
c. \( \mathrm{F}_{2}<\mathrm{Br}_{2}<\mathrm{I}_{2}<\mathrm{Cl} \)
D. \( \operatorname{Br}_{2}<\mathrm{F}_{2}<\mathrm{Cl}_{2}<\mathrm{I}_{2} \)
Subject: Chemistry
\( \left[\boldsymbol{F} e(\boldsymbol{O H})_{3}\right], \boldsymbol{F} e^{3+} \) can be coagulated
easily by
A \( \cdot C l^{-} \)
B \( . S O_{4}^{2-} \)
\( \mathbf{c} \cdot P O_{4}^{3-} \)
D. \( \left[F e(C N)_{6}\right]^{4} \)
Subject: Physics
A boy pulls a \( 5 k g \) block along a \( 20 m \) long horizontal surface at a constant
velocity by applying a horizontal force \( \boldsymbol{F} \)
If the coefficient of kinetic friction is 0.2
how much work does the boy do on
the block? \( \left(g=10 m s^{-2}\right) \)
\( \mathbf{A} \cdot 100 J \)
B. \( 300 J \)
c. \( 200 J \)
D. \( 400 J \)
Subject: Physics
toppr
Q Type your question_
have variable acceleration. The
acceleration can vary in magnitude, or
in direction or both. In such cases we
find acceleration at any instant, called
the instantaneous acceleration. It is
\( \operatorname{defined} \operatorname{as} \vec{a}=\lim _{\Delta t=0} \frac{\Delta \vec{v}}{\Delta t}=\frac{d \vec{v}}{d t} \)
That is acceleration of a particle at time
\( t \) is the limiting value of \( \frac{\Delta v}{\Delta t} \) at time \( t \) as \( \Delta t \) approaches zero. The direction of the
instantaneous acceleration \( \vec{a} \) is the
limiting direction of the vector in
velocity \( \Delta v \)

A particle travels according to the equation such that it's acceleration \( a=-k v \) where \( k \) is constant of
proportionality. Find the distance
covered when it's velocity falls from \( \boldsymbol{v}_{\mathbf{0}} \)
to \( \boldsymbol{v} \)
\( ^{\mathbf{A}} \cdot_{x}=\frac{-1}{k}\left[\frac{1}{v_{0}}-\frac{1}{v}\right] \)
в. \( _{x}=\frac{v_{0}-v}{k} \)
c. \( _{x}=k \log _{e} \frac{v_{0}}{v} \)
D. \( x=\frac{1}{k} \log _{e} \frac{v_{0}}{v} \)
Subject: Physics
Find the angular velocity of the rod after the collision.
A \( \cdot \omega=\frac{3 v}{(4+\eta) l} \)
B. \( \omega=\frac{12 v}{(4+\eta) l} \)
c. \( \omega=\frac{3 v}{(4-\eta) l} \)
D. \( _{\omega}=\frac{12 v}{(4-\eta) l} \)
Subject: Maths
In the given figure \( A B C D E, E Y= \)
\( \boldsymbol{C Y}=\boldsymbol{4} \boldsymbol{c m}, \boldsymbol{A} \boldsymbol{X}=\boldsymbol{B} \boldsymbol{X}= \)
\( 6 c m, D E=D C=5 c m, D X=9 \mathrm{cm} \)
\( D X \) is perpendicular to \( E C \) and \( A B \)
Find the area of \( A B C D E \)
Subject: Physics
What was the initial speed of the alpha
particle?
A \( \cdot 132 . \times 10^{2} m s^{-1} \)
В. \( 1.32 . \times 10^{7} \mathrm{ms}^{-1} \)
c. \( 13.2 . \times 10^{2} m s^{-1} \)
D. \( 0.13 . \times 10^{7} \mathrm{ms}^{-1} \)
Subject: Maths
Evaluate the determinant: \( \left|\begin{array}{ccc}\mathbf{8} & \mathbf{2} & \mathbf{7} \\ \mathbf{1 2} & \mathbf{3} & \mathbf{5} \\ \mathbf{1 6} & \mathbf{4} & \mathbf{3}\end{array}\right| \)
Subject: Chemistry
A reaction takes place in three steps;
the rate constants are \( K_{1}, K_{2} \) and \( K_{3} \)
respectively. The overall rate constant \( \boldsymbol{K}=\frac{\boldsymbol{K}_{\mathbf{1}}^{\mathbf{3} / \mathbf{2}} \boldsymbol{K}_{\mathbf{3}}^{\mathbf{2} / \mathbf{3}}}{\boldsymbol{K}_{\mathbf{2}}^{\mathbf{1} / \mathbf{4}}} . \) If activation energy of
each steps are 50,500 and \( 90 k J \) respectively, then overall activation energy of the reaction is:
A . 10
в. 270
\( c \cdot 300 \)
D. 620
Subject: Physics
Two ball \( A \) and \( B \) of same mass \( (M) \)
and charges \( Q,-Q \) are suspended by
two strings of same length from two
different suspension points \( S_{1} \) and \( S_{2} \) if
\( S_{1} S_{2}=3 x \) and \( A B=x \) then show that
tension in the string is \( T=\frac{Q^{2} L}{4 \pi \in_{0} x^{3}} \) \( \tan \theta=\frac{Q^{2}}{4 \pi \in_{0} x^{2} M g} \)
Subject: Maths
Triangle \( A B C \) is inscribed in the
parabola described by the equation \( y^{2}-6 x-4 y+10=0 \) so that \( A \) is the
vertex of the parabola and \( B \) and \( C \) are
the end points of the latus rectum of the
parabola. The area of triangle \( A B C \) is
A . 18
B. 9
\( c .4 .5 \)
D. 2.25
Subject: Maths
A tank contains 100 liters of fresh water.
A solution containing 1 gm/litre of soluble lawn fertilizer runs into the tank at the rate of 1 lit/min., and the mixture
is pumped out of the tank at the rate of
3 litres/min. Find the time when the
amount of fertilizer in the tank is
maximum.

Enter \( 9 t \) i.e, \( (t \) is time in minutes)
Subject: Maths
Suppose a girl throws a die. If she gets a
5 or \( 6, \) she tosses a coin 3 times and
notes the number of heads. If she gets
1,2,3 or 4 she tosses a coin once and notes whether a head or tail is obtained.
If she obtained exactly one head, what
is the probability that she threw 1,2,3
or 4 with the die?
\( \mathbf{A} \cdot \frac{1}{9} \)
в. \( \frac{5}{16} \)
c. \( \frac{2}{13} \)
D. \( \frac{8}{11} \)
Subject: Physics
A ceiling fan is rotating about its own
axis with uniform angular velocity \( \omega \) The electric current is switched off then
due to constant opposing torque its angular velocity is reduced to \( \frac{2 \omega}{3} \) as
it completes 30 rotations. The number of rotations further it makes before
coming to rest is :
A . 18
B. 12
\( c .9 \)
D. 24
Subject: Chemistry
Which among of the following pairs has
the bond angle \( 109^{\circ} 28^{\prime} ? \)
\( \mathbf{A} \cdot\left[N H_{4}^{+}\right],\left[B F_{4}^{-}\right] \)
B \( \cdot\left[N H_{4}^{+}\right],\left[B F_{3}\right] \)
C. \( N H_{3},\left[B F_{4}^{-}\right] \)
D. \( \left[N H_{3}\right],\left[B F_{3}\right] \)
Subject: Maths
Draw the graph for the linear equation given below:
\( \mathbf{2} \boldsymbol{x}-\mathbf{7}=\mathbf{0} \)
Which of the following points lie on this line?
This question has multiple correct options
A. (3.5,0)
в. (3,0)
c. (-2,2)
D. (3.5,2)
Subject: Physics
When two capacitors of capacities \( 3 \mu F \)
and \( 6 \mu F \) are connected in series and
connected to \( 120 V, \) the potential
difference across \( 3 \mu F \) is:
A . \( 40 V \)
B. \( 60 V \)
c. \( 80 V \)
D. \( 180 V \)
Subject: Physics
Assertion
When two charged metal spheres are connected by a long wire, then, the
surface charge density on each sphere is inversely proportional to the radius.
Reason

When two charged metal spheres are
connected, charge will flow from one to the other until their potentials are
equal.
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 the angle \( x \) and \( y \) are equal, then find
the value of \( x \) and \( y \)
\( \mathbf{A} \cdot x=y=55^{\circ} \)
\( \mathbf{B} \cdot x=y=45^{\circ} \)
\( \mathbf{C} \cdot x=y=60^{\circ} \)
D \( . x=y=90^{\circ} \)
Subject: Maths
\( \boldsymbol{n} / \boldsymbol{m} \) means that \( \boldsymbol{n} \) is factor of \( \boldsymbol{m}, \) then
the relation ' \( \boldsymbol{f}^{\prime} \) is.
B. Transitive and symmetricc
C. reflexive, transitive and symmetric
D. Reflexive,transitive and not symmetric
Subject: Maths
The parabola \( (\boldsymbol{y}+\mathbf{1})^{2}=\boldsymbol{a}(\boldsymbol{x}-\boldsymbol{2}) \)
passes through the point (1,-2) then the equation of its directrix is
A \( .4 x+1=0 \)
B. \( 4 x-1=0 \)
\( \mathbf{c} \cdot 4 x+9=0 \)
D. \( 4 x-9=0 \)
Subject: Maths
Which of the following statements best
describes the data in the given table?
\( \begin{array}{cc}\boldsymbol{x} & \boldsymbol{y} \\ \frac{1}{2} & 4 \\ 1 & 5 \\ 3 & 9 \\ 4 & 11\end{array} \)
A \( \cdot \) The value of \( y \) is \( 3 \frac{1}{2} \) more than the value of \( x \)
B. The value \( y \) is 3 more than twice the value \( x \).
C. The value of \( y \) is 3 times the value of \( x \) increased by 1
D. The value of \( y \) is 3 less than twice the value of \( x \).
Subject: Biology
Match the following list of animals with their level of organization.
Division of Labour Animal What is and
organ level A. Organ level Pheritima
B. Cellular aggregate level
ii. Fasciola
c. Tissue level
D. organ system level
¡v. Obelia
Choose the correct match showing division of labour with animal example.
A. i-B, ii-C, iii-D, iv-A
B. i-B, ii-D, iii-C, iv-A
c. i-D, ii-A, iii-B, iv-C
D. i-A, ii-D, iii-C, iv-B
Subject: Maths
If \( \boldsymbol{A}_{\boldsymbol{k}}=\left[\begin{array}{cc}\boldsymbol{k} & \boldsymbol{k}-\mathbf{1} \\ \boldsymbol{k}-\mathbf{1} & \boldsymbol{k}\end{array}\right] \) then \( \left|\boldsymbol{A}_{\mathbf{1}}\right|+ \)
\( \left|\boldsymbol{A}_{2}\right|+\ldots+\left|\boldsymbol{A}_{2015}\right|=? \)
\( A \cdot 0 \)
в. 2015
c. \( (2015)^{2} \)
D. \( (2015)^{3} \)
Subject: Chemistry
Which of the following is not the reason
for the higher \( \boldsymbol{E} \boldsymbol{A}_{1} \) of halogens?
I) High nuclear charge
Il) Larger atomic size
III) Easy to get octet configuration, i.e. \( \boldsymbol{n} \boldsymbol{s}^{2} \boldsymbol{n} \boldsymbol{p}^{6} \)
IV) Half filled p-orbitals
A. I and IV
B. I, II and III
c. Il and IV
D. II and III
Subject: Chemistry
Which of the following complex ions can exhibit linkage isomerism?
\( \mathbf{A} \cdot\left[A g\left(N H_{3}\right)_{2}\right]^{+} \)
B . \( \left[\operatorname{Co}\left(N H_{3}\right)_{5} N O_{2}\right]^{2+} \)
\( \mathbf{c} \cdot\left[P t(e n) C l_{2}\right) \)
D \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5} C l\right]^{2+} \)
Subject: Physics
A block is moving down a smooth inclined plane staring from rest at time
\( t=0 \) let \( S_{n} \) be the distance travel by the
block in the interval \( t=n-1 \) to \( t=n \). The ratio \( \frac{\boldsymbol{S}_{\boldsymbol{n}}}{\boldsymbol{S}_{\boldsymbol{n}+1}} \boldsymbol{i} \boldsymbol{s} \)
Subject: Physics
A soap bubble has a thickness of
\( 100 n m \) and a refractive Index of 1.35
Given that the wavelength of red light is about \( 700 n m \) and that of blue light is
\( 400 n m, \) what colour does the bubble appear to be at the point on its surface closest to an observer when it is
illuminated by white light?
A. White
B. Black
c. Red
D. Green
Subject: Maths
A function \( f \) such that \( f^{\prime}(2)=f^{\prime \prime}(2)= \)
0 and \( f \) has a local maximum of -17 at \( x \)
\( =2 \) is :
A \( \cdot(x-2)^{4} \)
B . \( 3-(x-2)^{4} \)
c. \( -17-(x-2)^{4} \)
D. None of these
Subject: Physics
The dielectric strength of air is \( 3 \times 10^{6} v \)
\( / \mathrm{m} . \) A parallel plate air capacitor has
\( \operatorname{area} 20 c m^{2} \) and plate separation \( 1 \mathrm{mm} \)
Then maximum r.m.s. voltage of an A.C. source which can be safely connected to this capacitor is
A . 212.2
B. 21.22
c. \( 2.122 \mathrm{v} \)
D. 2122 V
Subject: Chemistry
The following reaction happens in which
test?
\( \boldsymbol{N} \boldsymbol{a}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a}_{2}\left[\boldsymbol{F} e(\boldsymbol{C} \boldsymbol{N})_{5} \boldsymbol{N} \boldsymbol{O}\right] \longrightarrow \)
\( N a_{4}\left[F e(C N)_{5} N O S\right] \)
A. Sodium sulphide test
B. Sodium nitroprusside test
c. Both \( A \) and \( B \)
D. None of the above
Subject: Chemistry
For the reaction:
\( \boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{A} \boldsymbol{g}^{+}(\boldsymbol{a} \boldsymbol{q}) \longrightarrow \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+ \)
\( \boldsymbol{F} \boldsymbol{e}^{+\boldsymbol{3}}(\boldsymbol{a} \boldsymbol{q}) \)
Predict which change will decrease the cell voltage?
A. Increase the amount of Agg
B. Decrease the concentration of \( A g^{+} \)
C. Increase the concentration of \( F e^{+3} \)
D. Both \( B \) and \( C \)
Subject: Maths
If \( h(x)>[2 x-f n(f(x))] f(x) \) and
\( f(x)>0 \) satisfy for \( \forall x>0, \) if \( h(x)= \) \( \int_{0}^{x}(f(t)-t) d t, \) then
A. \( h(x) \) is increasing function
B. \( h(x) \) is decreasing function
\( c \cdot h(1)>1 \)
D. \( h(1)>e-1 \)
Subject: Physics
A body of mass 5 kg has momentum of
\( 10 \mathrm{kg} \mathrm{m} / \mathrm{sec} . \) When a force of \( 0.2 \mathrm{N} \) is
applied on it for 10 sec, the change in its kinetic energy is:
A . 4.4
в. 3.3
c. 5.5
D . 1.1 J
Subject: Chemistry
A metal M of atomic weight 54.94 g has a density of 7.42 g/cc. The apparent volume occupied by one atom of the
metal will be:
A. \( 8.13 \times 10^{-23} c c \)
B . \( 1.83 \times 10^{23} c c \)
c. \( 1.23 \times 10^{-23} c c \)
D. \( 7.404 c c \)