AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
Suppose \( f \) is differentiable on \( R \) and
\( \boldsymbol{a} \leq \boldsymbol{f}^{\prime}(\boldsymbol{x}) \leq \boldsymbol{b} \) where \( \boldsymbol{x} \in \boldsymbol{R} \) where
\( \boldsymbol{a}, \boldsymbol{b}>\mathbf{0} . \) If \( \boldsymbol{f}(\mathbf{0})=\mathbf{0}, \) then
A \( \cdot f(x) \leq \min (a x, b x) \)
B . \( f(x) \geq \min (a x, b x) \)
c. \( a \leq f(x) \leq b \)
D. \( a x \leq f(x) \leq b x \)
Subject: Maths
State the following statement is True or
False
f \( p, q, r \) are statements, with truth
values \( \mathrm{T} \), \( \mathrm{F} \), \( \mathrm{T} \) respectively, then the truth value of \( (\sim p \vee q) \wedge \sim r \Rightarrow p \) is \( T \)
A. True
B. False
Subject: Maths
Assertion
Statement-1: \( \int \frac{x^{2}-1}{\left(x^{2}+1\right) \sqrt{x^{4}+1}} d x= \)
\( \sec ^{-1}\left|\frac{x^{2}+1}{x \sqrt{2}}\right|+C \)
Reason
staement-2: \( \int \frac{\boldsymbol{d t}}{\boldsymbol{t} \sqrt{\boldsymbol{t}^{2}-\boldsymbol{a}}}= \)
\( \frac{1}{\sqrt{a}} \sec ^{-1}\left|\frac{t}{\sqrt{a}}\right|+C \)
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
\( \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}[\boldsymbol{f}(\boldsymbol{x}) \cdot \boldsymbol{g}(\boldsymbol{x})]=\boldsymbol{f}(\boldsymbol{x}) \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}} \boldsymbol{g}(\boldsymbol{x})+ \)
\( g(x) \frac{d}{d x} f(x) \) is known as \( _{--}---r u l e \)
A. Product
B. Sum
c. Multiplication
D. None of these
Subject: Biology
The standard size of herabrium sheet is
\( \mathbf{A} \cdot 29 \times 41.5 \mathrm{cm} \)
B. \( 15 \times 30 c m \)
c. \( 21 \times 36 \mathrm{cm} \)
\( \mathbf{D} \cdot 25 \times 38 c m \)
Subject: Physics
A sound source emits two sinusoidal
sound waves. both of wavelength \( \lambda \)
along paths \( A \) and \( B \) as shown in figure
The sound travelling along path \( B \) is
reflected from five surfaces as shown
and then merges at point \( Q \), producing
minimum intensity at that point. Find
the minimum value of \( d \) in terms of \( \lambda \)
Subject: Maths
In \( \Delta A B C, \angle A=100^{\circ}, \angle B=30^{\circ} \) and
\( \angle C=50^{\circ}, \) then
\( \mathbf{A} \cdot A B>A C \)
B. \( A B=A C \)
c. \( A B<A C \)
D. None of these
Subject: Chemistry
Which of the following factors will not favour backward reaction?
\( \boldsymbol{C l}_{2}(\boldsymbol{g})+\mathbf{3} \boldsymbol{F}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{C} \boldsymbol{I} \boldsymbol{F}_{3}(\boldsymbol{g}), \Delta \boldsymbol{H}= \)
\( -\boldsymbol{v} e \)
A. Addition of inert gas at constant pressure
B. Addition of \( C l_{2} \) gas
c. Increase in temperature of reaction
D. Increasing the volume of the container
Subject: Chemistry
Which of the following statement(s)
is/are correct?
A. Reversible isothermal compression of an ideal gas represents the limiting minimum value of workdone \( (|w|) \) by the surrounding on the system.
B. In an irreversible process, the cyclic integral of work is not zero
C. For thermodynamic changes in adiabatic process \( T \frac{C_{p . m}}{R} . P=\mathrm{constant} \)
D. Work done by 1 mole of a real (vander waals) gas \( W=-R T / n \frac{V_{2}-b}{V_{1}-b}-a\left[\frac{V_{1} \times V_{2}}{V_{2}-V_{1}}\right] \)
Subject: Chemistry
Which Lewis structure below has
been drawn incorrectly?
A . H: H
B. \( \mathrm{H}: \mathrm{C}::: \mathrm{N} \)
\( c \)
\( \mathbf{H}: \dot{\mathbf{O}} \)
D. : N ::: N:
\( \mathbf{F} \cdot \underset{\mathbf{F}}{\mathbf{B}}: \mathbf{F} \)
Subject: Physics
The capacity of a parallel plate condenser is \( 10 \mu F, \) when the distance
between its plates is \( 8 \mathrm{cm} \). If the
distance between the plates is reduced
to \( 4 \mathrm{cm}, \) then the capacity of this parallel plate condenser will be :
A \( .5 \mu F \)
B. \( 10 \mu F \)
c. \( 20 \mu F \)
D. \( 40 \mu F \)
Subject: Chemistry
\( \ln \) a \( 0.1 M \) solution of \( H_{3} P O_{4} \) the ionic
species present are (besides \( \boldsymbol{H}_{3} \boldsymbol{O}^{+} \) and
\( \left.\boldsymbol{O} \boldsymbol{H}^{-}\right) \)
\( \mathbf{A} \cdot H_{2} P O_{4}^{-}, H P O_{4}^{2-}, P O_{3}^{3-} \)
в. \( H_{2} P O_{2}^{3-}, H_{2} P O_{4}^{-}, P O_{4}^{3-} \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{PO}_{4}^{-}, \mathrm{HPO}_{3}^{2-}, \mathrm{PO}_{2}^{3-} \)
D. \( P O_{3}^{4-}, P O_{4}^{3-}, H P O_{4}^{2-}, H_{2} P O_{4} \)
Subject: Biology
Assertion
Sandy areas have a wide range of daily
temperature.
Reason
Sand soil particles are good conductors
of heat.
\( A . \) If \( A \) and \( R \) both are true and \( R \) is correct explanation of
\( A \)
B. If \( A \) and \( R \) both are true but \( R \) is not correct explanation of \( \mathrm{A} \)
C. If \( A \) is correct and \( R \) is wrong.
D. If A is wrong and R is true.
Subject: Maths
The shape of a garden is rectangular in the middle and semi-circular at the
ends as shown in the diagram. Find the
area and the perimeter of this garden. [Length of the rectangle is \( 20-(3.5+ \)
3.5 ) metres \( ] \)
A \( \cdot 129.5 \mathrm{m}^{2} ; 48 \mathrm{m} \)
B . \( 179.5 \mathrm{m}^{2} ; 48 \mathrm{m} \)
c. \( 129.5 \mathrm{cm}^{2} ; 48 \mathrm{m} \)
D. \( 129.5 \mathrm{m}^{2} ; 88 \mathrm{cm} \)
Subject: Chemistry
Consider the following alkane and answer the following questions:
\( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H} \boldsymbol{C H}_{2}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C I} \)
The molecular formula is:
\( \mathbf{A} \cdot C_{10} H_{24} \)
в. \( C_{10} H_{21} \)
c. \( C_{10} H_{22} \)
D. \( C_{9} H_{22} \)
Subject: Maths
For points \( \boldsymbol{A}(\mathbf{1},-\mathbf{1}, \mathbf{1}), \boldsymbol{B}(\mathbf{1}, \boldsymbol{3}, \mathbf{1}), \boldsymbol{C}(\mathbf{4}, \boldsymbol{3}, \mathbf{1}) \) and
\( D(4,-1,1) \) taken in order are the
vertices of
A. a parallelogram which is neither a square nor a rhombus
B. rhombus
c. as isosceles trapezium
D. a cyclic quadrilateral
Subject: Physics
A condenser is charged to a potential difference of \( 120 \mathrm{V} \). It's energy is \( 1 \times \)
\( 10^{-5} J . \) If battery is there and the space
between plates is filled up with a
dielectric medium \( \left(\varepsilon_{r}=5\right) . \) Its new energy
is
\( \mathbf{A} \cdot 10^{-5} J \)
В. \( 2 \times 10^{-5} J \)
c. \( 3 \times 10^{-5} J \)
D . \( 5 \times 10^{-5} J \)
Subject: Chemistry
One mole of a complex compound
\( \boldsymbol{C} \boldsymbol{o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{C l}_{3} \) gives three moles of
ions on dissolution in water. One mole
of the same complex reacts with two
moles of \( A g N O_{3} \) and yields two moles
of \( A g C l(s) . \) The complex is:
A \( \cdot\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}_{2}\right] \mathrm{Cl} . \mathrm{NH}_{3} \)
B . \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}\right] \mathrm{Cl}_{2} . \mathrm{NH}_{3} \)
\( \mathbf{c} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5} C l\right] C l_{2} \)
D \( \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{3} C l\right] C l_{3} .2 N H_{3} \)
Subject: Physics
Two identical fuses are rated at 10 A. If
they are joined
(A) in parallel, the combination acts as
a fuse of rating 20 A
(B) in parallel, the combination acts as a fuse of rating 5 A
(C) in series, the combination acts as a
fuse of rating 10 A
(D) in series, the combination acts as a
fuse of rating \( 20 \mathrm{A} \) Select the correct options
\( A \cdot A, B \)
B. A, C
c. В, D
D. B, C, D
Subject: Chemistry
One mole of an ideal monoatomic gas
expends isothermally against constant
external pressure of 1 atm from initial
volume of \( 1 L \) to a state where its final
pressure become equal to external pressure. If initial temperature of gas is
\( 300 K \) then total entropy change of
system in the above process is:
\( \left[\boldsymbol{R}=\mathbf{0 . 0 8 2} \boldsymbol{L} \boldsymbol{a t m m o l}^{-1} \boldsymbol{K}^{-1}=\mathbf{8 . 3} \boldsymbol{J} \boldsymbol{m}\right. \)
A . 0
B . \( \operatorname{Rln}(24.6) \)
c. \( \operatorname{Ren}(2490) \)
D. \( \frac{3}{2} \operatorname{Ren}(24.6) \)
Subject: Chemistry
A golf ball has a mass of 40 g, and a speed of \( 45 \mathrm{m} / \mathrm{s}, \) if speed can be measured within accuracy of \( 2 \% \) calculate the uncertainty in the position.
A . \( 1.56 \times 10^{-30} \)
В. \( 1.46 \times 10^{-33} \mathrm{m} \)
c. \( 1.47 \times 10^{-23} \mathrm{m} \)
D. \( 1.47 \times 10^{-30} \mathrm{m} \)
Subject: Physics
Two coherent waves are represented by
\( \boldsymbol{Y}_{1}=\boldsymbol{A}_{1} \cos \omega t . \boldsymbol{Y}_{2}=\boldsymbol{A}_{2} \sin \omega \boldsymbol{t} \)
The resultant intensity due to
interference is proportional to
A \( \cdot\left(A_{1}+A_{2}\right) \)
В \( \cdot\left(A_{1}-A_{2}\right) \)
\( \mathbf{c} \cdot\left(A_{1}^{2}+A_{2}^{2}\right) \)
D \( \cdot\left(A_{1}^{2}-A_{2}^{2}\right) \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=[\boldsymbol{x}] \) and \( \boldsymbol{g}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cc}\mathbf{0}, & \boldsymbol{x} \in \boldsymbol{Z} \\ \boldsymbol{x}^{2}, & \boldsymbol{x} \in \boldsymbol{R}-\boldsymbol{Z}\end{array} . \) Then which of the \right.
following is not true ([.] represents the greatest integer function)? This question has multiple correct options
A \( \cdot \lim _{x \rightarrow 1} g(x) \) exists but \( g(x) \) is not continuous at \( x=1 \)
B. \( \lim _{x \rightarrow 1} f(x) \) does not exist and \( f(x) \) is not continuous at
\[
x=1
\]
c. \( g o f \) is a continuous function.
D. gof is a discontinuous function.
Subject: Maths
If \( \boldsymbol{A}=\left[\begin{array}{ccc}-1 & 1 & -1 \\ 3 & -3 & 3 \\ 5 & 5 & 5\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{ccc}0 & 4 & 3 \\ 1 & -3 & -3 \\ -1 & 4 & 4\end{array}\right], \) then find \( A^{2}-B^{2} \)
Subject: Maths
If the biquadratic \( x^{4}+a x^{3}+b x^{2}+ \)
\( c x+d=0(a, b, c, d \epsilon R) \) has 4 non real
roots, two with sum \( 3+4 i \) and the other
two with product \( 13+i . \) Find the sum of
the digits of value of ' \( b \)
Subject: Chemistry
An aqueous solution of sodium hydroxide reacts with white
phosphorous to form phosphine \( \left(\boldsymbol{P} \boldsymbol{H}_{3}\right) \)
and :
A. \( N a H_{2} P O_{2} \)
в. \( P_{2} O_{5} \)
c. \( \operatorname{Na}\left(P O_{3}\right)_{6} \)
D. \( P_{2} O_{3} \)
Subject: Physics
At room temperature, \( 27^{\circ} \mathrm{C} \), the resistance of a heating element is
100 \( \Omega \). What is the temperature(in \( ^{\circ} C \) )
of the element if the resistance is found
to be \( 117 \Omega \) ? Given that the temperature coefficient of the material of the
resistor is \( 1.70 \times 10^{-4} C^{-1} \)
Subject: Maths
Write minors and cofactors of the
elements of following determinants
(i) \( \left|\begin{array}{cc}2 & -4 \\ 0 & 3\end{array}\right| \)
(ii) \( \left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{d}\end{array}\right| \)
Subject: Chemistry
The maximum number of possible oxidation states of actinoides are
shown by:
A. Berkelium \( (B k) \) and califormium \( (C f) \)
B. Nobelium (No) and lawrencium (Lr)
c. Actinium \( (A c) \) and throium \( (T h) \)
D. Neptunium (Np) and plutonium (Pu)
Subject: Physics
Dimensional formula of \( \Delta Q, \) heat
supplied to the system is
\( \mathbf{A} \cdot\left[M L^{2} T^{-2}\right] \)
B. \( \left[M L T^{-2}\right] \)
\( \mathbf{c} \cdot\left[M L^{2} T^{-1}\right] \)
D . \( \left[M L T^{1}\right. \)
Subject: Biology
Fertilisation is defined as the process
by which
A. a diploid spermatozoan unites with a haploid ovum to form a triploid zygote
B. a haploid spermatozoan unites with a haploid ovum to form a diploid zygote
C . a diploid spermatozoan unites with a diploid ovum to form a diploid zygote
D. a diploid spermatozoan unites with a haploid ovum to form a diploid zygote.
Subject: Maths
Which of the following is not a quadratic equation?
A \( \cdot x^{2}+6 y+2 \)
B. \( (x-2)+(x+2)^{2}+3 \)
c. \( (3 x-2)^{3}+\frac{1}{2} x-4 \)
D. \( 3 x^{2}-6 x+\frac{1}{2} \)
Subject: Chemistry
Which of the following pairs of nitrates gives the same gaseous products on thermal decomposition? This question has multiple correct options
A. \( K N O_{3} \) and \( P b\left(N O_{3}\right)_{2} \)
B. \( K N O_{3} \) and \( N a N O_{3} \)
c. \( P b\left(N O_{3}\right)_{2} \) and \( C u\left(N O_{3}\right)_{2} \)
D. \( \operatorname{NaNO}_{3} \) and \( C u\left(N O_{3}\right)_{2} \)
Subject: Physics
A body is projected vertically upwards with a velocity u. After 1 and 7 s, it
crosses a reference point at a height \( h \) What is the value of u?
A \( .40 \mathrm{m} / \mathrm{s} \)
B. \( 50 \mathrm{m} / \mathrm{s} \)
c. \( 30 \mathrm{m} / \mathrm{s} \)
D. \( 20 \mathrm{m} / \mathrm{s} \)
Subject: Chemistry
Dissociation of \( \boldsymbol{F e}(\boldsymbol{O H})_{3} \) will be least
in:
A. \( 0.1 M \) NaOH
в. \( 0.1 M \) НС\( l \)
\( \mathbf{c} \cdot 0.1 M B a(O H)_{2} \)
D. \( H_{2} O \)
Subject: Maths
The ends of major axis of an ellipse are (5,0)(-5,0) and one of the foci lies on \( 3 x-5 y-9=0, \) then the eccentricity
of the ellipse is
A \( \cdot \frac{2}{3} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{4}{5} \)
D.
Subject: Chemistry
The maximum of electrons in \( \mathrm{H} \) atom
that will emit maximum energy is :
\( A \cdot n_{3} \rightarrow n_{1} \)
в. \( n_{4} \rightarrow n_{3} \)
\( \mathrm{c} \cdot \mathrm{n}_{5} \rightarrow \mathrm{n}_{4} \)
\( \mathrm{D} \cdot \mathrm{n}_{6} \rightarrow \mathrm{n}_{5} \)
Subject: Maths
A photography dealer ordered 60 Mode
\( X \) cameras to be sold for \( \$ 250 \) each,
which represents a 20 percent mark up over the dealer's initial cost for each
camera. Of the cameras ordered, 6 were
never sold and were returned to the
manufacturer for a refund of 50 percent of the dealer's initial cost. What was
the dealer's approximate profit or loss
as a percent of the dealer's initial cost
for the 60 cameras?
A. \( 7 \% \) loss
B. \( 13 \% \) loss
c. \( 7 \% \) profit
D. \( 13 \% \) profit
E . \( 15 \% \) profit
Subject: Physics
An alpha nucleus of energy \( \overline{2} \) mv
bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be
proportional to
\( ^{\mathrm{A}} \cdot \frac{1}{\mathrm{Z}} \)
B \( \cdot \mathrm{v}^{2} \)
c. \( \frac{1}{\mathrm{m}} \)
D. \( \frac{1}{v^{4}} \)
Subject: Maths
The vertices of the triangle \( A B C \) are
\( (2,1,1),(3,1,2),(-4,0,1) . \) The area of
triangle is
A \( \cdot \frac{3 \sqrt{38}}{2} \)
B. \( \sqrt{38} \)
c. \( \frac{\sqrt{38}}{2} \)
D. 4
Subject: Maths
\( \boldsymbol{i} \boldsymbol{f} \boldsymbol{x} \sqrt{\boldsymbol{1}+\boldsymbol{y}}+\boldsymbol{y} \sqrt{\boldsymbol{1}+\boldsymbol{x}}= \)
\( 0, \) then \( \frac{d y}{d x} \) is equal to
A \( \cdot \frac{1}{(1+x)^{2}} \)
B. \( -\frac{1}{(1+x)^{2}} \)
c. \( \frac{1}{\left(1+x^{2}\right)} \)
D. \( \frac{1}{(1+x)} \)
Subject: Chemistry
Which is in the decreasing order of boiling points of Vth group hydrides?
A. \( N H_{3}>P H_{3}>A s H_{3}>S b H_{3} \)
B. \( S b H_{3}>A s H_{3}>P H_{3}>N H_{3} \)
c. \( P H_{3}>N H_{3}>A s H_{3}>S b H_{3} \)
D. \( S b H_{3}>N H_{3}>A s H_{3}>P H_{3} \)
Subject: Chemistry
The change in free energy accompanied by the isothermal reversible expansion of 1 mole of an ideal gas when it doubles
its volume is \( \Delta G_{1} \). The change in free energy accompanied by sudden isothermal irreversible doubling volume
of 1 mole of the same gas is \( \Delta G_{2} \). Ratio
of \( \Delta G_{1} \) and \( \Delta G_{2} \) is:
\( A \)
B.
\( c \cdot-1 \)
D. \( \frac{-1}{2} \)
Subject: Chemistry
Which of the following species combine
to form ferrocene?
A \( \cdot F e^{3+} \) and two molecules of cyclopentadiene
B. Fe and two \( C_{5} H_{6} \) molecules
C \( \cdot F e^{2+} \) ion and two cyclopentadienyl ions
D. \( F e^{2+} \) and two \( C_{5} H_{6} \) molecules.
Subject: Chemistry
Assertion
The acidic strength of oxyacids of
chlorine are \( \boldsymbol{H} \boldsymbol{C l O}<\boldsymbol{H} \boldsymbol{C l} \boldsymbol{O}_{2}< \)
\( \boldsymbol{H} \boldsymbol{C l O}_{3}<\boldsymbol{H} \boldsymbol{C l O}_{4} \)
Reason
The order of increasing number of resonating structure of their conjugate
base are \( H C l O<H C l O_{2}< \)
\( \boldsymbol{H} \boldsymbol{C l O}_{3}<\boldsymbol{H} \boldsymbol{C l O}_{4} \)
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 for Assertion
C. The Assertion is true, Reason is false
D. The Assertion is false, Reason is true
Subject: Physics
In the given figure atmospheric
pressure is \( P_{0} \) then Pressure at \( A \) will
be
\( A \cdot P_{0} \)
B. \( P_{0}-\frac{2 T}{R} \)
\( ^{\mathbf{C}} P_{0}+\frac{2 T}{R} \)
D \( P_{0}-\frac{4 T}{R} \)
Subject: Physics
If a SHM is given by \( y=(\sin \omega t+\cos \omega t \)
\( \mathrm{m}, \) which of the following statement is
true?
A. The amplitude is \( 1 \mathrm{m} \)
B. The amplitude is \( \sqrt{2} \mathrm{m} \).
c. Time period is \( 2 \pi / \omega \)
D. Time is considered from \( y=0 \) m.
Subject: Maths
PQR is a right-angled triangle with \( \mathrm{QS} \) as the perpendicular to the hypotenuse. The ratio PS : SR is equal to
A. \( \mathrm{QP}: \mathrm{QR} \)
B \( \cdot Q P^{2}: Q R^{2} \)
\( c \cdot 2: 3 \)
D. None of the above
Subject: Physics
Assertion
Four point charges \( \boldsymbol{q}_{1}, \boldsymbol{q}_{2}, \boldsymbol{q}_{3} \) and \( \boldsymbol{q}_{4} \) are
as shown in figure. The flux over the shown Gaussian surface depends only
on charges \( \boldsymbol{q}_{1} \) and \( \boldsymbol{q}_{2} \)
Reason
Electric field at all points on Gaussian
surface depends only charges \( q_{1} \) and \( q_{2} \)
A. Both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
c. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct
Subject: Chemistry
Name the following
(1) Thte non-sublimable solid from a
mxiture of iodine and potassion nitrate
(2) The heavier liquid component from mercury and water
(3) The lower boiling point component from methyl alcohol and water.
(4) The compound containing one atom of sulphur and two atoms of oxygen
(5) An acid whose formula is \( \boldsymbol{H}_{\mathbf{2}} \boldsymbol{C} \boldsymbol{O}_{3} \)
Subject: Chemistry
KCI can be used in salt bridge as
electrolyte in which of the following
cells?
\( \mathbf{A} \cdot Z n\left|Z n C l_{2} \| A g N O_{3}\right| A g \)
B . \( P b\left|P b\left(N O_{3}\right)_{2} \| C u\left(N O_{3}\right)_{2}\right| C u \)
c. \( C u\left|C u S O_{4} \| A u C l_{3}\right| A u \)
D. \( F e\left|F e S O_{4} \| P b\left(N O_{3}\right)_{2}\right| P b \)
Subject: Physics
The total pressure at the bottom of the
container is
\( ^{A} \cdot\left(\frac{H}{2}+\frac{L}{4}\right) d g \)
B. \( P_{0}+\left(\frac{3 H}{2}+\frac{L}{2}\right) d g \)
\( ^{\mathrm{c}} P_{0}+\left(H+\frac{L}{4}\right) d g \)
D \( P_{0}+\left(\frac{3 H}{2}+\frac{L}{4}\right) d g \)
Subject: Chemistry
1.75 g of solid NaOH is added to 0.25 \( d m^{3} \) of \( 0.1 \mathrm{M} N i C l_{2} \) solution.
Calculate pH of final solution. (write your answer to nearest integer)
Given_ \( \boldsymbol{K}_{s p} \) of \( \boldsymbol{N} \boldsymbol{i}(\boldsymbol{O} \boldsymbol{H})_{2}=\mathbf{1 . 6} \times \mathbf{1 0}^{-14} \)
Subject: Physics
Assertion
The total translational kinetic energy of
all the molecules of a given mass of an ideal gas is 1.5 times the product of its
pressure and its volume.
Reason
The molecules of a gas collide with each other and the velocities of the
molecules change due to the collision.
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 and Reason is correct
Subject: Chemistry
Assertion
Assertion: When ice and water are kept in a perfectly insulated thermos flask at
\( 273 \mathrm{K} \) and the atmospheric pressure,
there is no change in mass of ice and
water.
Reason
Reason : The system is in static equilibrium.
A. If both the assertion and reason are true and reason is the correct explanation of assertion
B. If both the assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false
Subject: Physics
A massless platform is kept on a light elastic spring, as shown in the figure.
When particle of mass \( 0.1 \mathrm{kg} \) is dropped on the pan from a height of \( 0.24 \mathrm{m} \), the
particle strikes the pan, and the spring
is compressed by \( 0.01 \mathrm{m} . \) From what
height should the particle be dropped to
cause a compression of \( 0.04 \mathrm{m} ? \)
A. \( 0.96 \mathrm{m} \)
B . \( 2.96 \mathrm{m} \)
c. 3.96 \( m \)
D. \( 0.48 \mathrm{m} \)
Subject: Maths
Suppose that \( f(n+1)=\frac{2 f(n)+1}{2} \) for \( \boldsymbol{n}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \ldots \) and \( (\mathbf{1})=\mathbf{2} \) Then \( \boldsymbol{f}(\mathbf{1 0 1}) \)
equals
A . 50
B. 52
c. 54
D. none of these
Subject: Chemistry
The correct order of boiling point is:
\( \mathbf{A} \cdot H F>H I>H B r>H C l \)
B \( . H F>H B r>H I>H C l \)
\( \mathbf{c} . H C l>H B r>H I>H F \)
D. \( H C l>H I>H B r>H F \)
Subject: Maths
If \( \boldsymbol{x}=\boldsymbol{p} \sec \boldsymbol{\theta} \) and \( \boldsymbol{y}=\boldsymbol{q} \tan \boldsymbol{\theta}, \) then
\( \mathbf{A} \cdot x^{2}-y^{2}=p^{2} q^{2} \)
B . \( x^{2} q^{2}-y^{2} p^{2}=p q \)
c. \( x^{2} q^{2}-y^{2} p^{2}=\frac{1}{p^{2} q^{2}} \)
D . \( x^{2} q^{2}-y^{2} p^{2}=p^{2} q^{2} \)
Subject: Physics
If
on a smooth horizontal surface. \( A \)
particle of mass ' \( m \) ' and velocity \( v_{0} \)
strikes as shown in figure. As a result of
the collision, the centre of mass of rod
attains a speed of \( v_{0} / 8 \) and the particle
rebounds back with a speed of \( \boldsymbol{v}_{\mathbf{0}} / \mathbf{4} \). The
ratio \( \frac{M}{m} \) is :
\( ^{\mathbf{A}} \cdot \frac{M}{m}=10 \)
B. \( \frac{M}{m}=4 \)
\( ^{\mathrm{C}} \cdot \frac{M}{m}=8 \)
D. \( \frac{M}{m}=5 \)
Subject: Maths
In a survey it was found that 21 persons
liked product \( P_{1}, 26 \) liked product \( P_{2} \)
and 29 liked product \( P_{3} \). If 14 persons
liked products \( P_{1} \) and \( P_{2} ; 12 \) persons
liked product \( P_{3} \) and \( P_{1} ; 14 \) persons
liked products \( P_{2} \) and \( P_{3} \) and 8 liked all
the three products. Find how many liked
product \( P_{3} \) only.
Subject: Physics
A balloon is rising vertically up with a velocity of \( 29 \mathrm{ms}^{-1} . \) A stone is dropped
from it and it reaches the ground in 10 s. The height of the balloon when the stone
was dropped from it is: \( \left(\boldsymbol{g}=\mathbf{9 . 8 m} \boldsymbol{s}^{-1}\right) \)
\( \mathbf{A} \cdot 400 \mathrm{m} \)
B. \( 150 \mathrm{m} \)
c. \( 100 \mathrm{m} \)
D. 200m
Subject: Chemistry
The precipitate of \( \boldsymbol{C a} \boldsymbol{F}_{2}\left(\boldsymbol{K}_{s p}=\mathbf{1 . 7} \times\right. \)
\( \left.10^{-10}\right) \) is obtained when equal volumes
of the following are mixed
\( \mathbf{A} \cdot 10^{-4} M C a^{2+}+10^{-4} M F^{-} \)
B. \( 10^{-2} M C a^{2+}+10^{-3} M F^{-} \)
c. Both A and B
D. None of these
Subject: Maths
Tangents TP and TO are drawn from a
point \( \mathbf{T} \) to the circle \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\mathbf{a}^{2} . \) If the
point \( \mathbf{T} \) lies on the line \( \mathbf{p x}+\mathbf{q y}=\mathbf{r} \)
then the locus of centre of the
circumcircle of \( \Delta \) TPO is
A \( \cdot p x+q y=\frac{r}{3} \)
B. \( p x+q y=\frac{r}{2} \)
c. \( p x+q y=2 r \)
D. \( p x+q y=r \)
Subject: Physics
The position time graphs above
represent the motions of cars 1 to 5. How
do they rank according to their speeds (greatest first)?
A. 1,2,3,4,5
B. 1,2,3 and 5 tie, 4
c. 1,2,4,3 and 5 tie
D. 3 and 5 tie, 4,2,1
\( E .5,4,3,2,1 \)