AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
When hydrogen burns in oxygen, water is formed and when water is
electrolysed then hydrogen and oxygen are produced. What type of a
reaction takes place
(i) in the first case,
(ii) in the second case?
A. In both the cases, i.e. (i) and (ii), a combination reaction takes place
B. In the first case, a combination reaction takes place and in the second case, a decomposition reaction takes place.
c. In the first case, a combination reaction rakes place and in the second case, a displacement reaction takes place.
D. In the first case, a displacement reaction takes place and in the second case, a decomposition reaction takes place.
Subject: Maths
A solid consisting of a right circular cone of height \( 120 \mathrm{cm} \) and radius
\( 60 \mathrm{cm} \) standing on a hemisphere of
radius \( 60 \mathrm{cm} \) is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the
volume of water left in the cylinder, (in
\( \left.m^{3}\right) \) if the radius of the cylinder is
\( 60 \mathrm{cm} \) and its height is \( 180 \mathrm{cm} ? \)
Subject: Physics
A body is projected upwards with a velocity \( u \). It passes through a certain
point above the ground after \( t_{1} \) second The time after which the body passes through the same point during the return journey is
A. \( \frac{u}{g}-t_{1}^{2} \)
В \( \cdot 2\left[\frac{u}{g}-t_{1}\right] \)
c. \( _{3} \frac{u^{2}}{g}-t_{1} \)
D. \( _{3} \frac{u^{2}}{g^{2}}-t_{1} \)
Subject: Chemistry
Which of the following sets of quantum numbers represents the 19th electron of \( \boldsymbol{C r}(\boldsymbol{Z}=\mathbf{2 4}) ? \)
\( ^{\mathbf{A}} \cdot\left(4,1,-1,+\frac{1}{2}\right) \)
в. \( \left(4,0,0,+\frac{1}{2}\right) \)
c. \( \left(3,2,0,-\frac{1}{2}\right) \)
D. \( \left(3,2,-2,+\frac{1}{2}\right) \)
Subject: Chemistry
The oxidation potential of hydrogen
half-cell will be negative if:
This question has multiple correct options
\( \mathbf{A} \cdot p\left(H_{2}\right)=1 \) atm and \( \left[H^{+}\right]=1 M \)
B \( \cdot p\left(H_{2}\right)=1 \) atm and \( \left[H^{+}\right]=12 M \)
\( \mathbf{c} \cdot p\left(H_{2}\right)=0.2 \) atm and \( \left[H^{+}\right]=1 M \)
D \( \cdot p\left(H_{2}\right)=0.2 \) atm and \( \left[H^{+}\right]=0.2 M \)
Subject: Physics
Assertion
The de-Broglie wavelength equation has significant for any microscopic and submicroscopic particles.
Reason
de-Broglie wavelength is inversely proportional tot he mass of the object, if its velocity is constant.
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
Balance the following equation taking place in basic solution.
\( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{2}(\boldsymbol{s})+\boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{F} \boldsymbol{e}(\boldsymbol{O} \boldsymbol{H})_{3}(\boldsymbol{s}) \)
A \( \cdot 4 \mathrm{Fe}(O H)_{2}(s)+2 H_{2} O(l)+O_{2}(g) \longrightarrow 4 \mathrm{Fe}(O H)_{3}(s) \)
B. \( 4 \mathrm{Fe}(\mathrm{OH})_{2}(s)+\mathrm{H}_{2} \mathrm{O}_{2}(l)+O_{2}(g) \longrightarrow 4 \mathrm{Fe}(\mathrm{OH})_{3}(s) \)
\( \mathbf{c} \cdot 4 F e(O H)_{3}(s)+2 H_{2} O(l)+O_{2}(g) \longrightarrow 4 F e(O H)_{3}(s) \)
D. None of these
Subject: Chemistry
For the strong electrolytes NaOH, NaCl
and \( B a C l_{2}, \) the molar ionic
conductances at infinite dilution are
\( 248 \times 10^{-4}, 126.5 \times 10^{-4} \) and \( 280.0 x \)
\( 10^{-4} \mathrm{s} m^{2} m o l^{-1}, \) respectively. Calculate \( \wedge_{m}^{0} \) for \( B a(O H)_{2} \)
Subject: Physics
An \( \alpha \) - particle travels in a circular path
of radius \( 0.45 \mathrm{m} \) in a magnitude field \( \mathrm{B} \) \( =1.2 \mathrm{Wb} / \mathrm{m}^{2} \) with a speed of \( 2.6 \times 10^{7} \)
\( \mathrm{m} / \mathrm{s} . \) The period of revolution of the \( \alpha \)
particle is:
B . (b) 1.1 \( \times 10^{-6} \) s
c. \( \left(\text { с ) } 1.1 \times 10^{-7} \) s \right.
D. (d) 1.1 \( \times 10^{8} \) s
Subject: Maths
A rectangular solid has a square base, with each side of the base measuring 4 meters. If the volume of the solid is 112
cubic meters, what is the surface area
of the solid?
A \( .144 \mathrm{m}^{2} \)
B . \( 250 m^{2} \)
c. \( 172 m^{2} \)
D . \( 228 \mathrm{m}^{2} \)
Subject: Physics
A man 'A' moves in the north direction
with a speed \( 10 \mathrm{m} / \mathrm{s} \) and man 'B' moves
in \( 30^{0} \) North of East with \( 10 \mathrm{m} / \mathrm{s} \). Find
the relative velocity of B w.r.t. A.
Subject: Chemistry
Using the table given below, determine
the heat of combustion of one mole of
\( C_{2} H_{4} \) at \( 298 \mathrm{K} \) and 1 atm?
\begin{tabular}{ll} 
Compound & \( \Delta \) of formation (kcal/mol) \\
\( H_{2} O(g) \) & -57.8 \\
\( C_{2} H_{6}(g) \) & \( -20 / 2 \) \\
\( C_{2} H_{4}(g) \) & 12.5 \\
\( C_{2} H_{2}(g) \) & 54.2 \\
\( C O(g) \) & -26.4 \\
\( C O_{2}(g) \) & -94.1 \\
\hline
\end{tabular}
A . 316.3 kcal
B. 12.5 kcal
c. -291.3 kcal
D. -316.3 kcal
kca
E . 57.8
Subject: Physics
According to Bohr's theory, the time averaged magnetic field at the centre (i.e nucleus) of a bydrogen atom due to the motion of electrons in the \( n^{t h} \) orbit
is propotional to : \( (n= \) principal quantum number)
\( \mathbf{A} \cdot n^{-3} \)
B . \( n^{-4} \)
\( c \cdot n^{-5} \)
D. \( n^{-2} \)
Subject: Maths
The solution of the D.E \( y y_{1}= \)
\( \left[\frac{\boldsymbol{y}^{2}}{\boldsymbol{x}^{2}}+\frac{\boldsymbol{f}\left(\boldsymbol{y}^{2} / \boldsymbol{x}^{2}\right)}{\boldsymbol{f}^{\prime}\left(\boldsymbol{y}^{2} / \boldsymbol{x}^{2}\right)}\right] \) is:
\( ^{A} \cdot f\left(\frac{y^{2}}{x^{2}}\right)=c x^{2} \)
B. \( x^{2} f\left(\frac{y^{2}}{x^{2}}\right)=c^{2} y^{2} \)
C \( \cdot x^{2} f\left(y^{2} / x^{2}\right)=c \)
D. \( f\left(\frac{y^{2}}{x^{2}}\right)=c y / x \)
Subject: Physics
A 20 Henry inductor coil is connected to
a 10 ohm resistance in series as shown
in figure. The time at which rate of
dissipation of energy (joule's heat)
\( \operatorname{across} \) resistance is equal to the rate at
which magnetic energy is stored in the
inductor is
A \( \cdot \frac{2}{\ln 2} \)
B. \( \ln 2 \)
\( \mathbf{c} \cdot 2 \ln 2 \)
D. \( \frac{1}{2} \ln 2 \)
Subject: Physics
\( \frac{228}{88} X-3 \alpha-\beta \longrightarrow Y . \) The element \( Y \)
is:
\( \mathbf{A} \cdot_{82}^{216} P b \)
в \( \cdot \) за้ใ \( P b \)
\( \mathbf{c} \cdot_{83}^{218} B i \)
D \( \cdot_{83}^{216} B i \)
Subject: Physics
A single slit Fraunhoffer diffraction pattern is formed with white light. For what wavelength of light the third secondary maximum in the diffraction pattern coincides with the second secondary maximum in the pattern for red light of wavelength \( 6500 \stackrel{o}{A} \)
A \( \cdot 4400 \stackrel{\circ}{A} \)
B. 4100 ,
c. \( 4642.8 \stackrel{\circ}{A} \)
D. \( 9100 \stackrel{\circ}{A} \)
Subject: Chemistry
Which of the following arrangements represent increasing oxidation number of the central atom?
A \( \cdot C r O_{2}^{-}, C l O_{3}^{-}, C r O_{4}^{2-}, M n O_{4}^{-} \)
B . \( C l O_{3}^{-}, C r O_{4}^{2-}, M n O_{4}^{-}, C r O_{2}^{-} \)
c. \( C r O_{2}^{-}, C l O_{3}^{-}, M n O_{4}^{-}, C r O_{4}^{2-} \)
D. \( C r O_{4}^{2-}, M n O_{4}^{-}, C r O_{2}^{-}, C l O_{3}^{-} \)
Subject: Physics
A particle is executing SHM with an amplitude \( 4 \mathrm{cm} . \) What time does it take to reach the distance equal to
amplitude, if the particle starts from rest at \( t=0 \) from the mean position
\( A \cdot T \)
в. \( T / 2 \)
\( c \cdot T / 4 \)
D. 3T/4
Subject: Chemistry
Phenol associates in \( C_{6} H_{6} \) to double
molecules. A solution of 2 g of phenol in 100 g \( C_{2} H_{6} \) has its f.pt. lowered by 0.72
K. \( \boldsymbol{K}_{f} \) for \( \boldsymbol{C}_{\boldsymbol{6}} \boldsymbol{H}_{\boldsymbol{6}} \) is \( \mathbf{5 . 1 2} \boldsymbol{K} \boldsymbol{m o l}^{-1} \boldsymbol{k} \boldsymbol{g} \)
Percentage degree of association of
phenol is (write the integer at tens place, e.g., if percentage degree of dissociation is \( x y \% \) then answer would
be \( x \) )
Subject: Chemistry
A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statement is corret regarding the behaviour of the solution?
A. The solution formed is an ideal solution
B. The solution is non-ideal, showing positive deviation from Raoults Law
C. The solution is non-ideal, showing negative deviation from Raoults Law.
D. n-heptane shows positive deviation while ethanol shows negative deviation from Raoults Law
Subject: Maths
The diameter of a copper sphere is \( 6 \mathrm{cm} \) It is beaten and drawn into a wire of
diameter \( 0.2 \mathrm{cm} . \) The length of wire is
\( \mathbf{A} \cdot 36 \mathrm{cm} \)
в. \( 360 \mathrm{cm} \)
c. \( 3600 \mathrm{cm} \)
D. None
Subject: Physics
A black body of mass 34.38 gm and surface area \( 19.2 \mathrm{cm}^{2} \) is at an initial
temperature of \( 400 \mathrm{K} \). It is allowed to cool inside an evacuated enclosure
kept at constant temperature \( 300 \mathrm{K} \)
The rate of cooling is \( 0.04^{\circ} \mathrm{C} \) per second. The specific heat of the body in \( J k g^{-1} K^{-1} \) is (Stefan's constant \( \sigma= \) \( \left.5.73 \times 10^{-8} W m^{-2} K^{-4}\right) \)
A. 2800
в. 2100
\( c \cdot 1400 \)
D. 1200
Subject: Physics
Which of the following is true in the case of an adiabatic process, where
\( \gamma=C_{p} / C_{v} ? \)
A \( \cdot p^{1-\gamma} T^{\gamma}= \) constant
B . \( p^{\gamma} T^{1-\gamma}= \) constant
C \( \cdot p T^{y}= \) constant
D. \( p^{\gamma} T= \) constant
Subject: Chemistry
Which of the following statements is
not correct?
A. Copper liberates hydrogen from acids
B. In its higher oxidation states, manganese forms stable compounds with oxygen and fluorine
C \( . M n^{3-} \) and \( C o^{3+} \) are oxidising agents in aqueous solution.
D. \( T i^{2+} \) and \( C r^{2+} \) are reducing agents in aqueous solution
Subject: Physics
A direct current of \( 5 A \) is superimposed
on an alternating current \( \boldsymbol{I}=\mathbf{1 0} \sin \boldsymbol{\omega} \boldsymbol{t} \)
flowing through a wire. The effective value of the resulting current will be
\( \mathbf{A} \cdot(15 / 2) A \)
B. \( 5 \sqrt{3} A \)
c. \( 5 \sqrt{5} \) A
D. 15 A
Subject: Physics
Assertion
The bar magnet falling vertically along
the axis of the horizontal coil will be
having acceleration less than \( g \)
Reason
Clockwise current induced in the coil.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
Subject: Physics
Assertion
In a common-emitter amplfier, the load
resistance of the output circuit is 1000 times the load resistance of the input
circuit. If \( \boldsymbol{\alpha}=\mathbf{0 . 9 8}, \) then voltage gain is
\( 49 \times 10^{3} \)
Reason
\( \boldsymbol{\alpha}=\frac{\beta}{1-\beta}( \) symbols have their usual
meaning).
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 rth term in the expansion of
\( \left(x^{2}+\frac{1}{x}\right)^{12} \) is independent of \( x, \) then
\( \boldsymbol{r}= \)
\( \mathbf{A} \cdot \mathbf{9} \)
B. 8
c. 10
D. none of these
Subject: Physics
Find the change in velocity of the tip of the minute hand (radius \( =10 \mathrm{cm} \) ) of a
clock in 45 minutes. \( (\text { in } \mathrm{cm} / \mathrm{min}) \)
A \( \cdot \frac{\sqrt{2}}{3} \)
B. \( \pi \frac{\sqrt{2}}{2} \)
c. \( \pi \frac{\sqrt{3}}{3} \)
D. \( \pi \frac{2}{3} \)
Subject: Physics
Assertion
Resistivity of material may change with
temperature.
Reason
Resistivity is a material property and
independent on temperature.
A. If both Assertion and Reason are correct and Reason is
the correct explanation of Assertion.
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C. If Assertion is correct but Reason is incorrect.
D. If Assertion is incorrect but Reason is correct
Subject: Maths
Solve the following differential equation \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\boldsymbol{x}^{2}+\boldsymbol{x}-\frac{\mathbf{1}}{\boldsymbol{x}}, \boldsymbol{x} \neq \mathbf{0} \)
Subject: Chemistry
Equilibrium constants for the following reaction at \( 1200 \mathrm{K} \) are given
\( 2 H_{2} O(g) \leftrightharpoons 2 H_{2}(g)+O_{2}(g) ; K_{1}= \)
\( 6.4 \times 10^{-8} \)
\( 2 C O_{2}(g) \leftrightharpoons 2 C O(g)+O_{2}(g) ; K_{2}= \)
\( \mathbf{1 . 6} \times \mathbf{1 0}^{-\mathbf{6}} \)
The equilibrium constant for the reaction
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{C} \boldsymbol{O}_{2}(\boldsymbol{g}) \leftrightharpoons \boldsymbol{C} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \)
at \( 1200 \mathrm{K} \) will be:
A. 0.05
в. 20
c. 0.2
D. 5.0
Subject: Maths
For what value of \( \boldsymbol{x} \) will \( l_{1} \) and \( l_{2} \) be
parallel lines
\( \mathbf{A} \cdot 32^{\circ} \)
B \( \cdot 12^{\circ} \)
\( c \cdot 42^{\circ} \)
D. None of these
Subject: Chemistry
Nitrolim is a mixture of:
A \( \cdot \mathrm{Ca} \mathrm{C}_{2}+\mathrm{N}_{2} \)
B. \( \mathrm{CaCN}_{2}+ \) graphite
c. \( \mathrm{Ca} \) NCN \( + \) diamond
D. \( \mathrm{Ca}(\mathrm{CN})_{2}+\mathrm{C} \)
Subject: Physics
The Kirchhoff's first law \( \left(\sum i=0 \) ) and \right. second law \( \left(\sum i R=\sum E\right), \) where the symbols have their usual meanings, are respectively based on:
A. Conservation of charge, conservation of \( m \)
B. Conservation of energy, conservation of charge
c. conservation of momentum, conservation of charge
D. conservation of charge, conservation of energy
Subject: Physics
Correct mirror formula is:
A \( \cdot \frac{1}{v}-\frac{1}{u}=\frac{1}{f} \)
в. \( \frac{1}{v}+\frac{1}{u}=\frac{1}{f} \)
c. \( \frac{1}{v}-\frac{1}{u}=\frac{1}{-f} \)
D. \( \frac{1}{v}+\frac{1}{u}=\frac{1}{-f} \)
Subject: Maths
The ratio between the sum of \( n \) terms of
two A.P.'s is \( 3 n+8: 7 n+15 . \) Find the
ratio between their 12 th terms.
A \( \cdot \frac{7}{10} \)
B. \( \frac{7}{18} \)
c. \( \frac{7}{12} \)
D. \( \frac{7}{16} \)
Subject: Physics
Assertion
Assertion : The elastic spring force arises due to the net attraction or
repulsion between the neighbouring atoms of the spring when it is elongated or compressed.
Reason
Reason: The laws of derived forces such
as spring force, friction force are
independent of the laws of fundamental
forces in nature.
A. both assertion and reason are true and reason is the correct explanation of assertion.
B. both assertion and reason are true and reason is not the correct explanation of assertion.
c. assertion is true but reason is false
D. both assertion and reason are false.
Subject: Maths
A rectangle and a parallelogram have equal areas. If the sides of the rectangle
are \( 10 m \) and \( 12 m \) and the base of the
parallelogram is \( 20 m, \) then the altitude of the parallelogram is:
A . \( 7 m \)
B. \( 6 m \)
\( c .5 m \)
D. \( 3 m \)
Subject: Physics
A ball starts rolling on a horizontal surface with an initial velocity of \( 1 \mathrm{m} / \mathrm{s} \) Due to friction, its velocity decreases at the rate of \( 0.1 m / s^{2}, \) How much time will it take for the ball to stop?
A . \( 1 \mathrm{s} \)
B. 100 s
\( c \cdot 10 s \)
D. 0.1 s
Subject: Chemistry
Which one of the following reaction conditions are used for preparing diethyl ether from ethyl alcohol?
A \( \cdot H I / 200^{\circ} C \)
в. Сопс.Н\( _{2} \) S \( O_{4} / 140^{\circ} \mathrm{C} \)
c. \( N a O H / 70^{\circ} \mathrm{C} \)
D. \( \operatorname{NaOC}_{2} \mathrm{H}_{5} / 27^{\circ} \mathrm{C} \)
Subject: Physics
A bird is flying towards north with a
velocity \( 40 \mathrm{kmh}^{-1} \) and a train is
moving with velocity \( 40 \mathrm{kmh}^{-1} \) towards east. What is the velocity of the bird noted by a man in the train?
A \( \cdot 40 \sqrt{2} k m h^{-1} N-E \)
в. \( 40 \sqrt{2} k m h^{-1} S-E \)
c. \( 40 \sqrt{2} k m h^{-1} N-W \)
D. \( 40 \sqrt{2} k m h^{-1} S-W \)
Subject: Maths
Let \( \vec{p} \) and \( \vec{q} \) be the position vectors of \( \boldsymbol{P} \)
and \( Q \) respectively with respect to \( O \) and \( |\vec{p}|=p,|\vec{q}|=q . R, S \) divide \( P, Q \)
Internally and externally in the ratio 2:
3 respectively. If \( O R \) and \( O S \) are
perpendicular, then
\( \mathbf{A} \cdot 9 p^{2}=4 q^{2} \)
B. \( 4 p^{2}=9 q^{2} \)
c. \( 9 p=4 q \)
D. \( 4 p=9 q \)
Subject: Maths
\( y=\sin ^{2} x+4 \sin x+5 . \) Then which of
the following statements is correct? \( (D: \text { Domain, } R: \text { Range }) \)
A \( D=R \)
\( R \)
B . \( D:[2,10] \)
c. \( D:[2,10]-\{0\} \)
D. \( R:[2,10] \)
Subject: Maths
n \( \triangle P Q R, \) seg \( P M \) is the median
Bisectors of \( \angle \boldsymbol{P} M Q \) and \( \angle \boldsymbol{P} M \boldsymbol{R} \)
intersect side \( P Q \) and side \( P R \) in
points \( X \) and \( Y \) respectively, then prove
that \( \boldsymbol{X} \boldsymbol{Y} \| \boldsymbol{Q} \boldsymbol{R} \)
Subject: Maths
ff \( f(x)=e^{x} g(x) \)
\( \boldsymbol{g}(\mathbf{0})=\mathbf{1}, \boldsymbol{g}^{\prime}(\mathbf{0})=\mathbf{3}, \) then \( \boldsymbol{f}^{\prime}(\mathbf{0}) \) is
\( \mathbf{A} \cdot \mathbf{0} \)
B. 4
\( c \cdot 3 \)
D.
Subject: Chemistry
0.5 mol of \( H_{2} \) and 0.5 mole of \( I_{2} \) react
in 10 litre flask \( a t 448^{\circ} C \). the
equilibrium constant \( \boldsymbol{K}_{c} \) is \( \mathbf{5 0} \) for
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{H} \boldsymbol{I}(\boldsymbol{g}) \)
What is the value of \( \boldsymbol{K}_{\boldsymbol{p}} \) ?
Subject: Physics
A clinical thermometer reads
temperature from
A \( \cdot 35^{\circ} \) Cto \( 42^{\circ} \) C
B . \( 0^{\circ} \) Cto \( 100^{\circ} \) C
\( \mathbf{c} \cdot 25^{\circ} \mathrm{Cto} 42^{\circ} \mathrm{C} \)
D. \( 35^{\circ} \) Cto \( 62^{\circ} \) C
Subject: Physics
A rod of mass \( M \) and length \( L \) is placed
on a horizontal plane with one end hinged about the vertical axis. horizontal force of \( \boldsymbol{F}=\frac{\boldsymbol{m} \boldsymbol{g}}{\mathbf{3}} \) is applied
\( \boldsymbol{L} \)
at a distance \( \frac{-}{3} \) from the hinged end.
The angular acceleration of the rod will
be:-
Subject: Maths
Find the position vectors of a point \( \boldsymbol{R} \) which divides the line joining two points \( P \) and \( Q \) whose position vectors \( \operatorname{are} 2 \vec{a}+3 \vec{b} \) and \( \vec{a}-3 \vec{b} \) respectively
externally in the ratio \( 1: 2 . \) Also, show
that \( P \) is the midpoint of the line
segment \( \boldsymbol{R} \)
Subject: Physics
A short dipole is placed along the \( x \) -mds at \( x=x \text { (Fig. } 3.120) \)
a. Find the force acting on the dipole due to a point charge q placed at the origin.
b. Find the force on the dipole if the dipole
is rotated by \( 180^{\circ} \) about the z-axis.
c. Find the force on dipole if the dipole is
rotated by \( 90^{\circ} \) anticlockwise about z-axis,
i.e., it becomes parallel to the \( y \) -axis.
Subject: Physics
Two trains \( A \) and \( B \) of length \( 400 m \)
each are moving on two parallel tracks with a uniform speed of \( 72 \mathrm{km} / \mathrm{h} \)
the same direction, with \( A \) ahead of \( B \)
The driver of \( B \) decides to overtake \( A \)
and accelerates by \( 1 \boldsymbol{m} / \boldsymbol{s}^{1} . \) If after \( \mathbf{5 0} \boldsymbol{s} \)
the guard of \( B \) just brushes past the
driver of \( A, \) what was the original
distance between the guard of \( B \& \)
driver of \( A \) ?
Subject: Chemistry
Make a proper pair:
a) Fullerene
b) SWNT
c) MWNT
d) Carbon nano buds
A. \( a-2, b-4, c-1, d-3 \)
B . \( a-3, b-1, c-2, d-4 \)
c. \( a-4, b-2, c-1, d-3 \)
D . \( a-1, b-3, c-4, d-2 \)
Subject: Chemistry
\( \boldsymbol{d}_{z^{2}} \) -orbital has:
\( \mathbf{A} \cdot \) a lobe along \( z \) -axis and a ring along \( x y \) -plane.
B. a lobe along \( z \) -axis and a lobe along \( x y \) -plane.
C. a lobe along \( z \) -axis and a ring along \( y z \) -plane.
D. a lobe and a ring along \( z \) -axis.
Subject: Physics
Nisha swims in a \( 90 \mathrm{m} \) long pool. She covers \( 180 \mathrm{m} \) in one minute by swimming from one end to the other and back along the same straight path. Find the average velocity of Nisha.
\( A \cdot O m / s \)
B. 3 \( \mathrm{m} / \mathrm{s} \)
\( c \cdot 6 m / s \)
D. None of these
Subject: Chemistry
Identify the correct statement regarding
enzymes.
A. Enzymes are specific biological catalysts and their action is independent of \( p H \)
B. Enzymes are normally heterogeneous catalyst that are very specific in their action
C. Enzymes are specific biological catalyst that cannot be poisoned
D. Enzymes are specific biological catalysts that can normally function at very high temperature \( (T=1000 \) \( K) \)
Subject: Chemistry
For a spontaneous reaction the \( \Delta G \) equilibrium constant \( \left(K_{e q}\right) \) and \( E_{c l l}^{0} \) will be respectively
A . -ve, >1, -ve
B. -ve, <1, -ve
c. \( + \) ve \( ,>1, \), -ve
D. -ve, >1, +ve
Subject: Biology
Bonding between deoxyribose and base in pyrimidine nucleoside molecule is :-
A \( \cdot 1^{\prime}-1^{\prime} \) glycosidic linkage
B . \( 1^{\prime}-6^{\prime} \) glycosidic linkage
C \( \cdot 1^{\prime}-9^{\prime} \) glycosidic linkage
D. \( 1^{\prime}-4^{\prime} \) glycosidic linkage
Subject: Maths
If \( f(x)=\int \frac{1}{x-\sqrt{x^{2}+1}} \) and \( f(0)= \)
\( \frac{1+\sqrt{2}}{2}, \) then \( f(1) \) is equal to
\( ^{A} \cdot \log (\sqrt{\sqrt{2}-1}) \)
B. \( \frac{-1}{\sqrt{2}} \)
c. \( 1+\sqrt{2} \)
D. \( \frac{1}{2} \log (1+\sqrt{2}) \)
Subject: Physics
Four point charges \( \boldsymbol{q}_{\boldsymbol{A}}=\boldsymbol{2 \mu C}, \boldsymbol{q}_{\boldsymbol{B}}= \)
\( -5 \mu C, q_{C}=2 \mu C, \) and \( q_{D}=-5 \mu C \)
are located at the corners of a square
\( A B C D \) of side \( 10 \mathrm{cm} . \) What is the force
on a charge of \( 1 \mu C \) placed at the centre
of the square?
Subject: Chemistry
\( 2 \mathrm{Mg}(s)+\mathrm{O}_{2}(g) \rightarrow 2 \mathrm{MgO}(s) \)
If 48.6 grams of magnesium are placed in a container with 64 grams of oxygen gas and the reaction above proceeds to completion, what is the mass of MgO(s) produced?
A. 15.4 grams
B. 32.0 grams
c. 80.6 grams
D. 96.3 grams
E . 112 grams
Subject: Chemistry
The cell, \( \boldsymbol{P b} \mid \boldsymbol{H}_{2}(\mathbf{1} \boldsymbol{a t m}) \| \boldsymbol{H}^{+}(\boldsymbol{p} \boldsymbol{H}=\boldsymbol{x}) \)
normal calomel electrode, has an emf of
0.67 volt as \( 25^{\circ} \mathrm{C} \). Calculate the \( p H \) of
the solution. The oxidation potential of calomel electrode on the hydrogen scale is :-0.28 volt.
A. \( p H=7.61 \)
в. \( p H=8.61 \)
c. \( p H=6.61 \)
D. none of these
Subject: Maths
If \( 2 p+3 q+4 r=15 \) then the
maximum value of \( p^{3} q^{5} r^{7} \) is?
A . 2180
в. \( \frac{5^{4} \cdot 3^{5}}{2^{15}} \)
c. \( \frac{5^{5} \cdot 7^{7}}{2^{17} \cdot 9} \)
D. 2285
Subject: Physics
A point moves in a straight line so that its displacement \( x \) metre at a time \( t \) second is such that \( t=\left(x^{2}-1\right)^{1 / 2} \). Its
acceleration in \( m / s^{2} \) at time \( t \) second
is:
A \( \cdot \frac{1}{x-1} \)
в. \( \frac{1}{x^{3}} \)
c. \( \frac{-t}{x^{2}-1} \)
D. \( \frac{t}{x^{2}-1} \)
Subject: Physics
Q Type your question \( \sqrt{07} \)
What is and
\( \mathbf{A} \cdot(A) \)
\( -b-t-3 \)
\( (B) \)
\( -c-s-4 \)
\( (C) \)
\( -a-q-1 \)
\( (D) \)
\( -e-r-5 \)
\( (E) \)
\( -d-p-2 \)
\( \mathbf{B} \cdot(A) \)
\( -c-s-3 \)
\( (B) \)
\( -b-s-4 \)
\( (C) \)
\( -a-t-1 \)
\( (D) \)
\( -e-r-5 \)
\( (E) \)
\( -d-p-2 \)
\( \mathbf{C} \cdot(A) \)
\( -d-p-3 \)
\( (B) \)
\( -e-r-4 \)
\( (C) \)
\( -a-q-1 \)
\( (D)-c-s-5 \)
\( (E)-b-t-2 \)
D. None of these