AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A neutral water molecules \( \left(H_{2} O\right) \) in its
vapour state has an electric dipole moment of \( 6 \times 10^{-30} \mathrm{Cm} . \) If the
molecule is placed in an electric field of \( 1.5 \times 10^{4} N C^{-1}, \) the maximum torque
that the field can exert on it is nearly:
A \( .4 .5 \times 10^{-26} \mathrm{Nm} \)
B. \( 4 \times 10^{-34} \mathrm{Nm} \)
c. \( 9 \times 10^{-26} \mathrm{Nm} \)
D. \( 6 \times 10^{-26} \mathrm{Nm} \)
Subject: Physics
For a transistor, \( \alpha_{d c} \) and \( \beta_{d c} \) are the
current ratios, then the value of \( \frac{\beta_{d c}-\alpha_{d c}}{\alpha_{d c} \cdot \beta_{d c}} \) is
A . 1
в. 1.5
\( c \cdot 2 \)
D. 2.5
Subject: Physics
A long cylindrical vessel of volume
and linear coefficient of expansion \( \alpha \)
contains a liquid. The level of liquid has not changed on heating.The volume coefficient of real expansion of liquid is
A. \( \frac{V-a}{V} \)
B. \( \frac{V+a}{V} \)
c. \( \frac{v}{V-a} \)
D. 3a
Subject: Biology
Which one is (a) Diploblastic (b)
Triploblastic?
Hydra, Centipede (Scolopendra), Liver fluke (Fasciola), Earthworm (Pheretima
posthuma)
A. Diploblastic - Hydra, Centipede (Scolopendra) Triploblastic - Liver fluke (Fasciola), Earthworm (Pheretima posthuma)
B. Diploblastic - Liver fluke (Fasciola), Centipede (Scolopendra), Earthworm (Pheretima posthuma) Triploblastic - Hydra
C. Diploblastic - Hydra; Triploblastic - Liver fluke (Fasciola), Centipede (Scolopendra), Earthworm (Pheretima posthuma)
D. Diploblastic - Hydra, Earthworm (Pheretima posthuma) Triploblastic - Liver fluke (Fasciola), Centipede (Scolopendra)
Subject: Chemistry
If \( n=6, \) the correct sequence for filling of electrons will be:
A \( \cdot n s \rightarrow n p \rightarrow(n-1) d \rightarrow(n-2) f \)
B . \( n s \rightarrow(n-2) f \rightarrow(n-1) d \rightarrow n p \)
C \( \cdot n s \rightarrow(n-1) d \rightarrow(n-2) f \rightarrow n p \)
D. \( n s \rightarrow(n-2) f \rightarrow n p \rightarrow(n-1) d \)
Subject: Physics
A beam of light of wavelength 600 nm from a distant source falls on a single
slit \( 1.0 \mathrm{mm} \) wide and the resulting diffraction pattern is observed on
a screen \( 2 \mathrm{m} \) away. The distance between the first dark fringes on either
side of the central bright fringe is:
A . \( 1.2 \mathrm{cm} \)
B. 1.2 \( \mathrm{mm} \)
c. \( 2.4 \mathrm{cm} \)
D. 2.4 mm
Subject: Physics
Match the Column I with Column II.
Column I
(Physical
quantity) Column II
(Dimensional
formula) (Dimensio
formula)
(A) Premittivity
of free
space
\( (p) \)
\( \left[M^{0} L^{0} T^{-1}\right] \)
(В) \( \left[M L^{3} T^{-3} A^{-2}\right] \)
(C) \( \begin{array}{ll}\text { Radiant flux } & \text { (q) } \\ \text { Resistivity } & \text { (r) } \\ \text { Hubble } & \text { (s) } \\ \text { constant } & \text { (s) }\end{array} \) \( \left[\mathrm{M} \mathrm{L}^{2} \mathrm{T}^{-3}\right] \) A
(D) (s) \( \quad\left[M^{-1} L^{-3} T^{4} A^{2}\right] \)
\( A \cdot A-p, B-q, C-r, D-s \)
B. \( A-q, B-p, C-s, D-r \)
C. \( A-s, B-r, C-q, D-p \)
\( D \cdot A-r, B-s, C-q, D-p \)
Subject: Physics
In an atom bomb, the energy is released because of the:
A. chain reaction of neutrons and \( _{92} U^{23} \)
B. chain reaction of neutrons and \( _{\text {g2 }} U^{23} \)
C. chain reaction of neutrons and \( _{\text {y } 2} U^{236} \)
D. chain reaction of neutrons and \( _{92} U^{24} \)
Subject: Physics
Consider a system of three charges \( \frac{\mathbf{q}}{\mathbf{3}} \)
\( \frac{\mathbf{q}}{\mathbf{3}} \) and \( -\frac{\mathbf{2 q}}{\mathbf{3}} \) placed at points \( \mathbf{A}, \mathbf{B} \) and
C, respectively, as shown in the figure.
Take 0 to be the centre of the circle of
radius \( \mathbf{R} \) and angle \( \mathbf{C A B}=\mathbf{6 0}^{\mathbf{0}} \)
A \( \cdot \) The electric field at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{8 \pi \epsilon_{0} \mathrm{R}^{2}} \) directed along the negative x-axis
B. The potential energy of the system is zero
C. The magnitude of the force between the charges at \( C \) and \( \mathrm{B} \) is \( \frac{\mathrm{q}^{2}}{54 \pi \epsilon_{0} \mathrm{R}^{2}} \)
D. The potential at point \( \mathrm{O} \) is \( \frac{\mathrm{q}}{12 \pi \epsilon_{0} \mathrm{R}} \)
Subject: Chemistry
Which of the following will have lowest
value of \( \boldsymbol{K}_{s p} \) at room temperature?
A. \( B e(O H)_{2} \)
B. \( M g(O H)_{2} \)
\( \mathbf{c} \cdot \operatorname{Ca}(O H)_{2} \)
D. \( B a(O H)_{2} \)
Subject: Chemistry
In the following reaction, which compound/s corresponds to \( (\boldsymbol{X}) \) ?
\( \boldsymbol{C a} \boldsymbol{C}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C}_{2} \boldsymbol{H}_{2}+(\boldsymbol{X}) \)
A \( . \) CaOH
В \( \cdot C a(O H)_{2} \)
\( \mathbf{c} \cdot C a O+H_{2} \)
D. none of the above
Subject: Maths
In the figure above, point \( A \) and \( B \) lie on
the circle with center \( O . \) If \( x=80, \) what
is the value of \( z ? \)
A . \( 80^{\circ} \)
B. \( 60^{\circ} \)
\( c \cdot 50^{\circ} \)
D. \( 40^{\circ} \)
E .10
Subject: Maths
Prove by mathematical induction,
\( \mathbf{1}^{2}+\mathbf{2}^{2}+\mathbf{3}^{2}+\ldots+\boldsymbol{n}^{2}= \)
\( \frac{\boldsymbol{n}(\boldsymbol{n}+\mathbf{1})(\boldsymbol{2} \boldsymbol{n}+\mathbf{1})}{\boldsymbol{6}} \)
Subject: Chemistry
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{S}_{2} \boldsymbol{C l}_{2} \rightarrow \boldsymbol{X} \)
Then, which are the correct statements
about X?
This question has multiple correct options
A. \( x \) is mustard gas
B. \( x \) is used as war gas
c. \( x \) has two \( s \) atoms
D. \( x \) has only one \( S \) atom
Subject: Maths
\( \lim _{h \rightarrow 0}\left\{\frac{1}{h^{3} \sqrt{8+h}}-\frac{1}{2 h}\right\}= \)
A \( \cdot \frac{-1}{12} \)
B. \( \frac{-4}{3} \)
\( c \cdot \frac{-16}{3} \)
D. \( \frac{-1}{48} \)
Subject: Physics
An electromagnetic wave passing through the space is given by equations \( \boldsymbol{E}=\boldsymbol{E}_{o} \sin (\boldsymbol{w} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x}), \boldsymbol{B}=\boldsymbol{B}_{0} \sin (\boldsymbol{w} \boldsymbol{t}- \)
\( k x) \) which of the following is true?
A \( \cdot E_{o} B_{0}=w k \)
в. \( E_{o} w=B_{o} k \)
c. \( E_{o} k=B_{o} w \)
D. \( E_{o} w k=B_{o} \)
Subject: Physics
In the circuits shown below the
ammeter \( A \) reads \( 4 a m p \) and the
voltmeter \( V \) reads 20 volts. The value of
the resistance \( \boldsymbol{R} \) is
A. Slightly more than 5 ohms
B. Slightly less than 5 ohms
c. Exactly 5 ohms
D. None of the above
Subject: Physics
For two particles \( A \) and \( B \), given that \( \overline{\boldsymbol{r}}_{\boldsymbol{A}}=\mathbf{2} \overline{\boldsymbol{i}}+\boldsymbol{3} \overline{\boldsymbol{j}}, \overline{\boldsymbol{r}}_{\boldsymbol{B}}=\boldsymbol{6} \overline{\boldsymbol{i}}+\boldsymbol{7} \overline{\boldsymbol{j}}, \overline{\boldsymbol{V}}_{\boldsymbol{A}}= \)
\( \mathbf{3} \overline{\mathbf{i}}+\overline{\boldsymbol{j}} \) and \( \overline{\boldsymbol{V}}_{B}=\boldsymbol{x} \overline{\mathbf{i}}+\mathbf{5} \bar{j} . \) What is the
value of \( x \) if they collide.
\( A \cdot 1 \)
B. 7
\( c \cdot 2 \)
\( D \ldots-2 \)
Subject: Chemistry
The molar conductance of a \( 0.01 M \)
solution of acetic acid was found to be
\( 16.30 \times 10^{-4} S m^{2} m o l^{-1} \) at \( 25^{\circ} C . \) The
molar ionic conductance of \( \boldsymbol{H}^{+} \) and
\( C H_{3} C O O^{-} \) ions at infinite dilution are
\( 349.8 \times 10^{-4} \) and \( 40.9 \times \)
\( 10^{-4} S m^{2} m o l^{-1}, \) respectively, at the
same temperature. What percentage of acetic acid is dissociated at this
concentration?
Subject: Physics
A ray of light travelling inside a rectangular glass block of refractive index \( \sqrt{2} \) is incident on the glass-air
surface at an angle o incidence of \( 45^{\circ} \)
The refractive index of air is one. Under
these conditions the ray will
A. emerge into the air without any deviation
B. be reflectived back into the glass
c. be absorbed
D. emerge into the air with an angle of refraction equal to \( 90_{o} \)
Subject: Maths
The probability that a person will get an electric contract is \( \frac{2}{5} \) and the
probability that he will not get plumbing contract is \( \frac{4}{7} . \) If the probability of getting at least one contract is \( \frac{2}{3}, \) then the probability that he will get both is \( \frac{17}{105} \)
A. True
B. False
Subject: Maths
Suppose values taken by a variable are such that \( a \leq x, \leq b \) where \( x, \) denote
the value of \( x \) in the \( i^{t h} \) class for \( i= \)
\( l, 2, \cdots n, \) then
A \( \cdot a^{2} \leq \operatorname{Var}(x) \leq b \)
B \cdot \( a^{2} \leq a^{2}(x) \leq b^{2} \)
\( ^{\mathrm{c}} \cdot \frac{a^{2}}{4} \leq \operatorname{Var}(x) \)
D. \( \operatorname{Var} x \leq(b-a)^{2} \)
Subject: Maths
\( \frac{x^{2}}{\left(x^{2}+a^{2}\right)\left(x^{2}+b^{2}\right)}= \)
\( k\left[\frac{a^{2}}{x^{2}+a^{2}}-\frac{b^{2}}{x^{2}+b^{2}}\right] \Rightarrow k= \)
\( A \)
в. \( \frac{1}{a^{2}+b^{2}} \)
c. \( \frac{1}{a^{2}-b^{2}} \)
D. \( \frac{1}{b^{2}-a^{2}} \)
Subject: Maths
A room is \( 12.5 \mathrm{m} \) long and \( 8 \mathrm{m} \) wide.
square carpet of side \( 8 \mathrm{m} \) is laid on its floor. Find the area of the floor which is
not covered by carpet
\( A \cdot 6 m \)
в. 36 sq.m
\( \mathbf{c} .63 \mathrm{m} \)
D. 63 sq.m
Subject: Chemistry
For a first order gas phase reaction:
\( \boldsymbol{A}_{(\boldsymbol{g})} \rightarrow \boldsymbol{2} \boldsymbol{B}_{(\boldsymbol{g})}+\boldsymbol{C}_{(\boldsymbol{g})} \)
\( P_{0} \) be initial pressure of \( A \) and \( P, \) the
total pressure at time ' \( t^{\prime} . \) Integrated rate
equation is:
A \( \cdot \frac{2.303}{t} \log \left(\frac{P_{0}}{P_{0}-P_{t}}\right) \)
B. \( \frac{2.303}{t} \log \left(\frac{2 P_{0}}{3 P_{0}-P_{t}}\right) \)
c. \( \frac{2.303}{t} \log \left(\frac{P_{0}}{2 P_{0}-P_{t}}\right) \)
D \( \cdot \frac{2.303}{t} \log \left(\frac{2 P_{0}}{2 P_{0}-P_{t}}\right) \)
Subject: Maths
If \( A \) and \( B \) be the points (3,4,5) and (-1,3,-7) respectively. Find the equation of the set of points \( \boldsymbol{P} \) such
that \( \boldsymbol{P} \boldsymbol{A}^{2}+\boldsymbol{P} \boldsymbol{B}^{2}=\boldsymbol{K}^{2}, \) where \( \boldsymbol{K} \) is a
constant
Subject: Maths
In \( \triangle \boldsymbol{A B C} \) and \( \triangle \boldsymbol{D E F}, \angle \boldsymbol{B}=\angle \boldsymbol{E}= \)
\( 90^{\circ} ; A C=D F a n d B C=E F \)
Then
triangles are congruent.
A. True
B. False
Subject: Chemistry
A certain mass of gas is taken from an
initial thermodynamic state \( A \) to
another state B by process I and II. In
process I the gas does 5 joules of work
and absorbs 4 joules of heat energy. In process II, the gas absorbs 5 joules of
heat. The work done by the gas in
process II (see figure) is
A. +6 joules
B. - -6 joules
c. +4 joules
D. - 4 joules
Subject: Chemistry
Analysis by mass of a certain compound shows that it contains \( 14 \% \) hydrogen and \( 86 \% \) carbon. On the basis of the
given data which of the following options can properly be made about the compound? This question has multiple correct options
A. It is a hydrocarbon
B. Its empirical formula is \( C H_{2} \)
c. Its molecular formula is \( C_{2} H_{4} \)
D. Its molar mass is \( 28 \mathrm{g} / \mathrm{mol} \)
E. It contains a triple bond
Subject: Maths
The values of \( k, \) so that the equations
\( 2 x^{2}+k x-5=0 \) and \( x^{2}-3 x-4=0 \)
have one root in common, are
A \( \cdot_{3, \frac{27}{2}} \)
в. \( 9, \frac{27}{4} \)
c. \( _{-3, \frac{-27}{4}} \)
D. \( -3, \frac{4}{27} \)
Subject: Maths
\( f(x)=x^{3}-6 x^{2}+12 x-16 \) is strictly
decreasing for
\( \mathbf{A} \cdot x \in R \)
в. \( x \in R-\{1\} \)
c. \( x \in R^{+} \)
D. \( x \in \phi \)
Subject: Maths
The point to which the axes are to be translated to eliminate \( x \) and \( y \) terms in
the equation \( 3 x^{2}-4 x y-2 y^{2}-3 x- \)
\( 2 y-1=0 \) is
\( ^{\mathrm{A}} \cdot\left(\frac{5}{2}, 3\right) \)
в. \( \left(-4, \frac{3}{2}\right) \)
c. (-2,3)
D. (2,3)
Subject: Physics
A toy car of mass \( 500 g \) travels with a uniform velocity of \( 25 \mathrm{cm} s^{-1} \) for \( 5 s . \) The
brakes are then applied and the car is uniformly retarded and comes to rest in
further \( 10 s . \) Calculate the distance
which the car travels after the brakes
are applied.
A . \( 1.25 \mathrm{cm} \)
B. \( 125 \mathrm{m} \)
c. \( 1.25 m \)
D. \( 25 m \)
Subject: Physics
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum angular displacement of the pendulum of the string with respect to the downward vertical.
A \( .30^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
Subject: Maths
Prove the following by using the principle of mathematical induction for
all \( \boldsymbol{n} \in \boldsymbol{N}: \mathbf{1} . \mathbf{2}+\mathbf{2} . \mathbf{3}+\mathbf{3} . \mathbf{4}+\ldots . .+ \)
\( \boldsymbol{n}(\boldsymbol{n}+1)=\left[\frac{\boldsymbol{n}(\boldsymbol{n}+1)(\boldsymbol{n}+\boldsymbol{2})}{\boldsymbol{3}}\right] \)
Subject: Physics
A charge is distributed over two
concentric hollow spheres of radii \( \boldsymbol{R} \) and \( r, \) where \( R>r, \) such that the
surface densities of charges are equal
( \( \sigma \) ). What is the potential at their
common centre?
A \( \cdot \frac{\sigma}{\varepsilon_{0}}(R+r) \)
В \( \cdot \frac{\varepsilon_{0}}{\sigma}(R+r) \)
c. \( \frac{\sigma}{\varepsilon_{0}} R \)
D. \( \frac{\sigma}{\varepsilon_{0}} r \)
Subject: Maths
The diagonal of a rectangle whose length is \( 20 \mathrm{cm} \) and breadth in \( 15 \mathrm{cm} \) is
\( \mathbf{A} \cdot 35 \mathrm{cm} \)
B. \( 30 \mathrm{cm} \)
c. \( 25 \mathrm{cm} \)
D. \( 40 \mathrm{cm} \)
Subject: Physics
A chlorine atom whose nucleus
contains 17 protons and 20 neutrons. Find out the composition of the nucleus of an isotope of chlorine?
A. 20 protons, 17 neutrons
B. 19 protons, 18 neutrons
c. 18 protons, 18 neutrons
D. 17 protons, 19 neutrons
E. 16 protons, 20 neutrons
Subject: Physics
A solid of density \( D \) is floating in a
liquid of density \( d . \) If \( v \) is the volume of
solid submerged in the liquid and \( V \) is the total volume of the solid, then \( v / V \)
equals to
A \( \cdot \frac{d}{V} \)
в. \( \frac{D}{d} \)
c. \( \frac{D}{(D+d)} \)
D. \( \frac{D+d}{D} \)
Subject: Maths
Life expectancy is defined by the formula \( \frac{2 S B}{G}, \) where \( S= \) shoe size \( \boldsymbol{B}= \) average monthly electric bill in dollars, and \( G=\mathrm{GMAT} \) score. If Melvin's
GMAT score is twice his monthly electric bill, an his life expectancy is 50 what is his shoe size?
A . 40
B. 50
c. 60
D. 80
Subject: Maths
The centre of a circle is (2,-3) and the circumference is \( 10 \pi . \) Then, the equation of the circle is
A. \( x^{2}+y^{2}+4 x+6 y+12=0 \)
B . \( x^{2}+y^{2}-4 x+6 y+12=0 \)
c. \( x^{2}+y^{2}-4 x+6 y-12=0 \)
D. \( x^{2}+y^{2}-4 x-6 y-12=0 \)
Subject: Physics
The gravitational force between two masses kept in air at a certain distance
is \( x \) N. The same two masses are now
kept in water and the distance between
them are same. The gravitational force
between these masses in water is \( y \) N.
Then
A. \( x>y \)
в. \( x<y \)
c. \( x=y \)
D. can't say
Subject: Biology
What do \( A, B, C \) and D represent in the
following figure?
A. A : Carrier protein, B : symport, C : uniport, D : antiport
B. A : Carrier protein, B : uniport C : antiport, D : symport
C. A : Carrier protein, B : antiport, C : symport, D : uniport
D. A : Carrier protein, B : uniport, C : symport, D : antiport
Subject: Maths
If \( g(x) \) is the inverse of \( f(x) \) and \( f^{\prime}(x)=\frac{1}{1+x^{3}}, \) then \( g^{\prime}(x) \) is equal to
A \( . g(x) \)
в. \( 1+g(x) \)
c. \( _{1+\{g(x)\}^{3}} \)
D. \( \frac{1}{1+\{g(x)\}^{3}} \)
\( E \)
Subject: Maths
f \( a, b, c \) are non-zero and different from
1, then the value of
\( \left|\begin{array}{ccc}\log _{a} 1 & \log _{a} b & \log _{a} c \\ \log _{a}\left(\frac{1}{b}\right) & \log _{b} 1 & \log _{a}\left(\frac{1}{c}\right) \\ \log _{a}\left(\frac{1}{c}\right) & \log _{a} c & \log _{c} 1\end{array}\right| \)
A . 0
B. \( 1+\log _{a}(a+b+c) \)
\( \mathbf{c} \cdot \log _{a}(a b+b c+c a) \)
D. 1
\( E \cdot \log _{a}(a+b+c) \)
Subject: Chemistry
The maximum work that can be
obtained from the cell
\( \boldsymbol{A l}\left|\boldsymbol{A l}^{3+}(\mathbf{0 . 1} \boldsymbol{M}) \| \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{2}+}(\boldsymbol{0 . 2} \boldsymbol{M})\right| \boldsymbol{F e} \) is:
\( \left[\text { Given }: \boldsymbol{E}_{A l^{3+} / A l}^{o}=-\mathbf{1 . 6 6} \mathbf{V} \) and \right.
\( \left.\boldsymbol{E}_{\boldsymbol{F} e^{2+} / \boldsymbol{F} e}^{\boldsymbol{o}}=-\mathbf{0 . 4 4} \boldsymbol{V}\right] \)
A. \( 605.8 \mathrm{kJ} \)
B. 505.8 kJ
c. 705.8 kJ
D. 905.8 kJ
Subject: Chemistry
Arrange \( N H_{3}, P H_{3}, A s H_{3}, S b H_{3} \) in
increasing covalent nature :
A. \( N H_{3}>S b H_{3}>A s H_{3}>P H_{3} \)
В. \( P H_{3}>N H_{3}>A s H_{3}>S b H_{3} \)
c. \( N H_{3}<P H_{3}<A s H_{3}<S b H_{3} \)
D. \( N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \)
Subject: Maths
The area of a field is in the shape of a
trapezium measures \( 1440 m^{2} \). The
perpendicular distance between its parallel sides is \( 24 m . \) If the ratio of the
parallel sides is \( 5: 3 . \) What is the length
of the longer parallel side?
A . \( 75 \mathrm{m} \)
B. \( 70 m \)
c. \( 80 m \)
D. \( 85 m \)
Subject: Physics
A uniform solid ball of density \( d \) and of
radius \( r \) is moving vertically downward inside a viscous liquid (density \( =\frac{d}{6} \& \)
coefficient of viscosity \( =\eta \) ) with an
acceleration of \( g / 2 \) at an instant. Speed
of the ball at this instant is
A \( \cdot \frac{1}{6} \frac{r^{2} g d}{\eta} \)
В. \( \frac{5}{27} \frac{r^{2} g d}{\eta} \)
C \( \frac{2}{27} \frac{r^{2} g d}{\eta} \)
D. \( \frac{2}{9} \frac{r^{2} g d}{\eta} \)
Subject: Maths
Construct a quadrilateral \( P Q R S \) in
which \( P Q=3.8 \mathrm{cm}, Q R=3.4 \mathrm{cm} \)
\( \boldsymbol{R} \boldsymbol{S}=\mathbf{4 . 5} \mathrm{cm}, \boldsymbol{S} \boldsymbol{P}=\mathbf{5} \mathrm{cm} \) and \( \angle \boldsymbol{Q}= \)
\( 80^{\circ} . \) State which of these is the first
step.
A. From \( Q \), set \( Q R=3.4 \mathrm{cm} \)
B. With \( P \) as center and radius equal to \( 5 \mathrm{cm} \), draw an arc
c. Join \( P S \) and \( R S \)
D. Make \( \angle P Q X=80^{\circ} \)
Subject: Chemistry
A standard solution of potassium dichromate contains \( 5.442 g L^{-1} . \) The
amount is in terms of \( F e_{3} O_{4} \) per \( \mathrm{mL} \)
\( K_{2} C r_{2} O_{7}, \) expressed as \( x \times 10^{-4} . \) Here
\( x \) is :
Subject: Chemistry
Which of the following reaction is most exothermic?
A. Propane \( +C l_{2} / h v \rightarrow 2- \) chloropropane \( +H C l \)
B. Propane \( +B r_{2} / h v \rightarrow 2- \) bromopropane \( +H B r \)
C. Isobutane \( +C l_{2} / h v \rightarrow t- \) butyl chloride \( +H C l \)
D. Isobutane \( +B r_{2} / h v \rightarrow t- \) butyl chloride \( +H B r \)
Subject: Physics
Value of universal gravitational
constant \( G \) in \( \mathrm{CGS} \) unit is-
A \( \cdot 6.67 \times 10^{8} \mathrm{cm}^{3} g^{1} s \)
B . \( 6.67 \times 10^{8} \mathrm{cm}^{3} g^{-1} s^{-2} \)
c. \( 6.67 \times 10^{9} \mathrm{cm}^{3} g^{1} s^{2} \)
D. \( 6.67 \times 10^{7} \mathrm{cm}^{3} g^{-1} s^{2} \)
Subject: Chemistry
The solubility product expression for silver (I) sulfide, using x to represent the molar concentration of silver (I) and y to represent the molar concentration of sulfide, is formulated as
A \( . x y \)
B . \( x^{2} y \)
c. \( x y^{2} \)
D. \( x^{2} y^{2} \)
E \( \cdot x y^{3} \)
Subject: Chemistry
Calculate the degree of ionization and \( \left[\boldsymbol{H}_{3} \boldsymbol{O}^{+}\right] \) of \( \mathbf{0 . 0 1} \boldsymbol{M} \boldsymbol{C H}_{3} \boldsymbol{C O O H} \)
solution. The equilibrium constant of acetic acid is \( 1.8 \times 10^{-5} \)
Subject: Physics
Light travels in two media \( A \) and \( B \) with
speeds \( 1.8 \times 10^{8} m s^{-1} \) and \( 2.4 \times \)
\( 10^{8} m s^{-1} \) respectively. Then the critical
angle between them is
A \( \cdot \sin ^{-1}\left(\frac{2}{3}\right) \)
в. \( \tan ^{-1}\left(\frac{3}{4}\right) \)
\( ^{\mathbf{c}} \cdot \tan ^{-1}\left(\frac{2}{3}\right) \)
D. \( \sin ^{-1}\left(\frac{3}{4}\right) \)
Subject: Physics
A car moves with a speed of \( 40 \mathrm{km} / \mathrm{h} \) for
15 minutes and then with a speed of 60 \( \mathrm{km} / \mathrm{h} \) for the next 15 minutes. The total
distance covered by the car is :
A . 35
B. 25
\( c \cdot 45 \)
D. 66
Subject: Physics
Two coils have a mutual inductance
\( 0.005 H . \) The current changes in the first coil according to the equation \( i= \)
\( i_{m} \sin \omega t \) where \( i_{m}=10 A \) and \( \omega= \)
\( 100 \pi \) rad \( s^{-1} . \) The maximum value of
the emf induced in the second coil is
A \( .2 \pi \)
в. \( 5 \pi \)
c. \( \pi \)
D. \( 4 \pi \)
Subject: Maths
What is the following parabola's axis of
symmetry?
\( \boldsymbol{y}=\boldsymbol{x}^{2}-\boldsymbol{4} \boldsymbol{x}+\mathbf{5} \)
A. \( x=-2 \)
B. \( x=2 \)
c. \( y=-2 \)
D. None of these
Subject: Physics
puric ouurce ungill I is placeu ac
distance \( L \) in front of the center of a
mirror of width \( d \) hung vertically on a
wall. A man walks in front of the mirror
along a line parallel to the mirror at a
distance \( 2 L \) from it as shown in Fig. the
greatest distance over which he can see
the image of the light source in the
mirror is
A \( \cdot \frac{d}{2} \)
B. \( d \)
c. \( 2 d \)
D. \( 3 d \)
Subject: Physics
1 \( g \) of hydrogen is converted into \( 0.993 g \) of helium in a thermonuclear reaction.
Then energy released is
\( \mathbf{A} \cdot 63 \times 10^{7} J \)
В. \( 63 \times 10^{10} \mathrm{J} \)
\( \mathbf{D} \cdot 63 \times 10^{20} J \)
Subject: Maths
If direction ratios of the normal of the
plane which contains the lines \( \frac{x-2}{3}= \) \( \frac{\boldsymbol{y}-\boldsymbol{4}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\boldsymbol{1}}{\boldsymbol{1}} \& \frac{\boldsymbol{x}-\boldsymbol{6}}{\boldsymbol{3}}=\frac{\boldsymbol{y}+\boldsymbol{2}}{\boldsymbol{2}}= \)
\( \frac{z-2}{1} \) are \( (a, 1,-26), \) then \( a \) is equal
to
A . 5
B. 6
\( c \cdot 7 \)
D.
Subject: Maths
An open can of oil is accidentally dropped into a lake; assume the oil
spreads over the surface as a circular disc of uniform thickness whose radius
increases steadily at the rate of \( 10 \mathrm{cm} / \) sec. At the moment when the radius is 1
meter, the thickness of the oil slick is
decreasing at the rate of \( 4 \mathrm{mm} / \mathrm{sec}, \) how fast it is decreasing when the radius is
2 meters.
Subject: Physics
A person runs \( 40 m \) to the north in \( 6.0 s \)
and then \( 30 m \) to the east in 4.0 s. Find
out the average velocity of the person?
A \( .5 .0 m / s \)
в. \( 6.0 m / s \)
c. \( 6.7 m / s \)
D. \( 7.0 m / s \)
E \( .7 .5 \mathrm{m} / \mathrm{s} \)
Subject: Physics
In thermodynamics process pressure of a fixed mass of gas is changed in such
a manner that the gas releases \( 30 J \) of heat and \( 18 J \) of work was done on the
gas. If the initial energy of the gas was
\( 60 J \) then, the final internal energy will
be:
в. 48 Л
\( c .72 J \)
D. 965
Subject: Chemistry
The correct order of bond
angle(smallest first) in \( \boldsymbol{H}_{2} \boldsymbol{S}, \boldsymbol{N} \boldsymbol{H}_{3}, \boldsymbol{B} \boldsymbol{F}_{3} \)
and \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{H}_{4} \) is:
A. \( H_{2} S<N H_{3}<B F_{3}<S i H_{4} \)
B. \( N H_{3}<H_{2} S<S i H_{4}<B F_{3} \)
c. \( H_{2} S<N H_{3}<S i H_{4}<B F_{3} \)
D. \( H_{2} S<S i H_{4}<N H_{3}<B F_{3} \)
Subject: Chemistry
The following one is example to physical equilibrium:
A. solid \rightleftharpoons liquid
В. \( N_{2}+3 H_{2} \rightleftharpoons N H_{3} \)
\( \mathrm{c} \cdot \mathrm{CaCO}_{3} \rightleftharpoons \mathrm{CaO}+\mathrm{CO}_{2} \)
\( \mathrm{D} \cdot 2 \mathrm{SO}_{2}+\mathrm{O}_{2} \rightleftharpoons 2 \mathrm{SO}_{3} \)