AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A student finds the writing on the
blackboard as blurred and unclear when
sitting on the last desk in the classroom. He however, sees it clearly
when sitting on the front dest at an approximate distance of \( 2 \mathrm{m} \) from the blackboard. Draw ray diagrams to
illustrate the formation of image of the blackboard writting by his eye - lens when he is seated at the
(i) last desk
(ii) front desk
Name the kind of lens that would help
him to see clearly even when he is seated at the last desk. Draw a ray
diagram to illustrate how this lens helps him to see clearly.
Subject: Chemistry
If \( 1.8 \times 10^{19} \) molecules of \( N O_{2} \) are
removed from 10 mg of \( N O_{2} \), how many
moles of \( N O_{2} \) are left?
\( \mathbf{A} \cdot 3.87 \times 10^{4} \)
B . \( 1.87 \times 10^{-4} \)
c. \( 1.87 \times 10^{4} \)
D. \( 2.87 \times 10^{-4} \)
Subject: Chemistry
In aq. \( s o l^{n} \) oxalic acid exist as dihydrate \( \left(\begin{array}{c}\operatorname{COOH} \cdot 2 H_{2} O \\ _{C O O H}\end{array}\right) . \) If \( 6.3 g m \) oxalic
acid dissolve in \( 3 L \) water. Calculate \( P H \)
of \( s o l^{n} \)
Subject: Chemistry
Explain why dehydration of alcohols to form alkenes is always carried out with
conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \) and not with conc. \( \boldsymbol{H} \boldsymbol{C l} \) or
\( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} ? \)
Subject: Maths
If \( \Delta_{1}=\left|\begin{array}{lll}\boldsymbol{x} & \boldsymbol{b} & \boldsymbol{b} \\ \boldsymbol{a} & \boldsymbol{x} & \boldsymbol{b} \\ \boldsymbol{a} & \boldsymbol{a} & \boldsymbol{x}\end{array}\right| \) and \( \boldsymbol{\Delta}_{2}=\left|\begin{array}{ll}\boldsymbol{x} & \boldsymbol{b} \\ \boldsymbol{a} & \boldsymbol{x}\end{array}\right| \) are
the given determinants, then
A \( \cdot \Delta_{1}=3\left(\Delta_{2}\right)^{2} \)
в. \( \frac{d}{d x}\left(\Delta_{1}\right)=3 \Delta_{2} \)
c. \( \frac{d}{d x}\left(\Delta_{1}\right)=3\left(\Delta_{2}\right)^{2} \)
D. \( \Delta_{1}=3 \Delta_{2}^{3 / 2} / 2 \)
Subject: Chemistry
The compound that inhibits the growth
of tumors is:
A \( \cdot \operatorname{cis}-\left[P d(C l)_{2}\left(N H_{3}\right)_{2}\right. \)
B . \( \operatorname{cis}-\left[P t(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
c. \( \operatorname{trans}-\left[P t(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
D. \( \operatorname{trans}-\left[P d(C l)_{2}\left(N H_{3}\right)_{2}\right] \)
Subject: Physics
Consider the earth as a short magnet
with the centre coinciding with the centre of the earth and dipole moment \( M \). The angle of dip \( \theta \) at the place where the magnetic latitude is \( \lambda \) is :
A \( \cdot \tan ^{-1}(2 \tan \lambda) \)
B. \( \tan ^{-1}(\tan \lambda) \)
\( c \cdot \tan ^{-1}(\tan \lambda / 2) \)
D. \( \tan ^{-1}(4 \tan \lambda) \)
Subject: Physics
If the system is in equilibrium \( \left(\cos 53^{0}=\right. \)
\( \mathbf{3} / \mathbf{5}), \) then the value of \( ^{\prime} \boldsymbol{P}^{\prime} \) is
\( \mathbf{A} \cdot 16 N \)
B. \( 4 N \)
\( \mathbf{c} \cdot \sqrt{208} N \)
D. \( \sqrt{232} N \)
Subject: Biology
The number of stomatal and epidermal
in 1 m area of leaves of \( A, B, C, D \)
plants are given below.
Is \begin{tabular}{lll} 
Plant & Number of Stomatal & Number of epidermal cells \\
\hline \( \mathrm{A} \) & 40 & 730 \\
\( \mathrm{B} \) & 60 & 510 \\
\( \mathrm{C} \) & 70 & 450 \\
\( \mathrm{D} \) & 30 & 620
\end{tabular}
Identify the two plants having least stomatal index.
\( A \cdot A, D \)
B. A, C
\( c \cdot A, B \)
D. B, C
Subject: Physics
\( \vec{r}=15 t^{2} \hat{t}+\left(20-20 t^{2}\right) \hat{j} \)
Find magnitude of acceleration at \( t=1 \)
sec.
A \( .30 m / s^{2} \)
в. \( 40 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 70 m / s^{2} \)
D. \( 50 m / s^{2} \)
Subject: Chemistry
The \( p H \) of \( 0.01 M \) solution of sodium salt of a substituted benzoic acid at
\( 25^{\circ} C \) is: \( \left(K_{a}=1.0 \times 10^{-4} \text {at } 25^{\circ} C\right) \)
A. 6
B. 4
\( c \cdot 8 \)
D. 10
Subject: Physics
A car \( A \) is going north-east at \( 80 \mathrm{km} / \mathrm{h} \) and another car \( B \) is going south-east at
\( 60 \mathrm{km} / \mathrm{h} . \) Then the direction of the velocity
of \( A \) relative to \( B \) makes with the north
an \( \alpha \) angle such that \( \tan \alpha \) is :
A \( \cdot \frac{1}{7} \)
B. \( \frac{3}{4} \)
\( c \cdot \frac{4}{3} \)
D. \( \frac{3}{5} \)
Subject: Maths
In a circle with centre \( O \) chord \( A B= \)
chord \( A C . \) Chord \( A D \) cuts \( B C \) in \( E . \) If
\( \overline{A C}=12 \) and \( \overline{A E}=8, \) then \( \overline{A D} \) equals:
A .27
B . 24
c. 21
D. 18
Subject: Chemistry
The vapour pressure of pure liquid is 70
Torr at \( 27^{\circ} \mathrm{C} \). The vapour pressure of a
solution of this liquid and another liquid (mole fraction 0.2) is 84 Torr at
\( 27^{\circ} \mathrm{C} . \) The vapour pressure of pure
liquid \( B \) at \( 27^{\circ} C \) is?
A. 140 Torr
B. 280 Torr
c. 160 Torr
D. 200 Torr
Subject: Physics
A line coming from point (3,4) is
reflected on a point A of x-axis and it
passes through point (1,8) then
coordinate of point A is
A \( \cdot(7 / 3,0) \)
В \( \cdot(5,0) \)
C \( \cdot(29 / 3,0) \)
D \cdot \( (9 / 2,0) \)
Subject: Biology
Assertion
In leptosporangiate development sporangia are formed from a group of
initials
Reason
Eusporangiate development of sporangia starts from single initial
A. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
B. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
C. If the assertion is true but the reason is false
D. If both the assertion and reason are false
Subject: Chemistry
In the reaction,
\( \boldsymbol{M} \boldsymbol{g}+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \boldsymbol{X}+\boldsymbol{H}_{2} \)
What is \( X ? \)
\( \mathbf{A} \cdot M g O \)
В. \( M g(O H)_{2} \)
c. \( M g H_{2} \)
D. None of these
Subject: Chemistry
The equilibrium constant for the reaction \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}_{s} \rightleftharpoons \boldsymbol{A} \boldsymbol{g}_{(a q)}^{+}+\boldsymbol{C l}_{(a q)}^{-} \) is
\( x \times 10^{-10} . \) Then, the value of \( x \) is :
(Given \( : \Delta G_{f(A g C l)}^{0}=-109.7 k J \)
\( \Delta G_{f\left(A g^{+}\right)}^{0}=\mathbf{7 7 . 1 k J} ; \Delta G_{f\left(C l^{-}\right)}^{0}= \)
\( -131.2 k J) \)
Subject: Maths
An iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of base of each of cone
and cylinder is \( 8 \mathrm{cm} . \) The cylindrical
part is \( 240 \mathrm{cm} \) high and the conical part is \( 36 \mathrm{cm} \) high. Find the weight of pillar,
if \( 1 \mathrm{cm}^{3} \) of iron weight \( 10 \mathrm{g} \)
A. \( 826.65 \mathrm{kg} \)
B. 705.23 kg
c. \( 506.88 \mathrm{kg} \)
D. none of these
Subject: Physics
The length of a wire required to
manufacture a solenoid of length \( l \) and
self-induction \( L \) is (cross-sectional
area is negligible)
A \( \cdot \sqrt{\frac{2 \pi L l}{\mu_{0}}} \)
в. \( \sqrt{\frac{\mu_{0} L l}{4 \pi}} \)
c. \( \sqrt{\frac{4 \pi L l}{\mu_{0}}} \)
D. \( \sqrt{\frac{\mu_{0} L l}{2 \pi}} \)
Subject: Maths
The value of \( \frac{1}{(2 n-1) ! 0 !}+ \)
\( \frac{1}{(2 n-3) ! 2 !}+\frac{1}{(2 n-5) ! 4 !}+\dots+ \)
\( \frac{1}{1 !(2 n-2) !} \) equal to
A \( \cdot 2^{2 n-1} \)
B. \( 2^{2 n-2} \)
\( \mathrm{c} \cdot 2^{2 n-3} \)
D. \( \frac{2^{2 n-2}}{(2 n-1) !} \)
Subject: Maths
Let \( \boldsymbol{\alpha}, \boldsymbol{\beta} \) be the roots of \( \boldsymbol{a x}^{2}+\boldsymbol{b x}+\boldsymbol{c}= \)
\( 0 ; \gamma, \delta \) be the roots of \( p x^{2}+q x+r=0 \)
and \( D_{1}, D_{2} \) are the respective
discriminants of these equations. If the
\( \boldsymbol{\alpha}, \boldsymbol{\beta}, \boldsymbol{\gamma}, \boldsymbol{\delta} \) are in AP, then \( \boldsymbol{D}_{1}: \boldsymbol{D}_{2} \) is
equal to
\( \mathbf{A} \cdot \frac{a^{2}}{b^{2}} \)
B. \( \frac{a^{2}}{p^{2}} \)
\( ^{\mathbf{C}} \cdot \frac{b^{2}}{q^{2}} \)
D. \( \frac{c^{2}}{r^{2}} \)
Subject: Physics
Two identical blocks of metal are at \( 20^{\circ} \)
C and \( 80^{\circ} \mathrm{C}, \) respectively. The specific
heat of the material of the two blocks
increases with temperature. Which of the following is true about the final
temperature \( \mathrm{T}_{f} \) when the two blocks are brought into contact (assuming that no
heat is to the surroundings??
\( \mathbf{A} \cdot \mathbf{T}_{f} \) will be \( 50^{\circ} \mathrm{C} \)
B. \( T_{f} \) will be more than \( 50^{\circ} \) C
\( \mathrm{C} \cdot \mathrm{T}_{f} \) will be less than \( 50^{\circ} \mathrm{C} \)
D. \( T_{f} \) can be either more than or less than \( 50^{\circ} \mathrm{C} \) depending on the precise variation of the specific heat with temperature.
Subject: Chemistry
What is the angular velocity \( (\omega) \) of an
electron occupying second orbit of \( L i^{2+} \)
ion?
\( ^{\mathrm{A}} \cdot \frac{8 \pi^{3} m e^{4}}{h^{3}} K^{2} \)
в. \( \frac{8 \pi^{3} m e^{4}}{9 h^{3}} K^{2} \)
\( ^{\mathbf{C}} \cdot \frac{64}{9} \times \frac{\pi^{3} m e^{4}}{h^{3}} K^{2} \)
D. \( \frac{9 \pi^{3} m e^{4}}{h^{3}} K^{2} \)
Subject: Maths
Assertion \( (A): \) If \( \frac{5 x+1}{(x+2)(x-1)}= \)
\( \frac{\boldsymbol{A}}{(\boldsymbol{x}+\mathbf{2})}+\frac{\boldsymbol{B}}{(\boldsymbol{x}-\mathbf{1})} \) and \( \sin \boldsymbol{\theta}=(\boldsymbol{A}+\boldsymbol{B}) \)
then \( \sin \theta \) does not exist
Reason \( (\mathrm{R}): \sin \theta \in[-1,1] \)
A. Both A and R are true and R is correct explanation of A
B. Both A and R are true and R is not correct explanation of A
c. A is true and R is false
D. A is false and R is true
Subject: Maths
The mean of the numbers \( a, b, 8,5,10 \) is
6 and the variance is \( 6.80 . \) Then which
one of the following gives possible values of \( a \) and \( b \)
A \( . a=1, b=6 \)
В. \( a=3, b=4 \)
c. \( a=0, b=7 \)
D. \( a=5, b=2 \)
Subject: Physics
A line charge \( \lambda \) per unit length is lodged uniformly onto the rim of a wheel of
mass \( M \) and radius \( R \). The wheel has
light non-conducting spokes and is free
to rotate without friction about its axis
as shown in above figure. A uniform
magnetic field extends over a circular
region within the rim. It is given by,
\( \boldsymbol{B}=-\boldsymbol{B}_{0} \boldsymbol{k} \quad(\boldsymbol{r} \leq \boldsymbol{a} ; \boldsymbol{a}<\boldsymbol{R}), \) or
\( B=0 \) (otherwise)
What is the angular velocity of the wheel after the field is
suddenly switched off?
Subject: Physics
Assertion
The minimum distance between an
object and its real image formed by a convex lens is \( 2 f \)
Reason
The distance between object and its real image is minimum when its
magnification is one.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
Subject: Maths
\( \int_{0}^{\pi / 2} \frac{\sin x}{\sqrt{1+\cos x}} d x= \)
A \( \cdot \sqrt{2}-1 \)
B. \( 2 \sqrt{2} \)
c. \( 2(\sqrt{2}-1) \)
D. \( \frac{\sqrt{2}+1}{2} \)
Subject: Physics
Assertion
The focal length of the concave mirror is \( f \) and distance of the object from the
focus is \( u . \) The magnification of the
image will be \( \boldsymbol{f} / \boldsymbol{u} \)
Reason
Magnification= \( \frac{\text {size of object}}{\text {size of image}} \)
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 \( 4 \cos ^{2} \frac{\pi}{3}+\sec ^{2} \frac{\pi}{6}-\sin ^{2} \frac{\pi}{4} \)
is
A \( \cdot \frac{13}{6} \)
в. \( \frac{11}{6} \)
\( c \cdot \frac{7}{6} \)
D.
Subject: Chemistry
Which of the following electronic
configuration shows transition metal?
A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} \dots . . n s^{2} n p^{2} \)
B \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} \ldots . . n s^{2} n p^{2} n d^{3}(n+1) s^{2} \)
C \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} \ldots . . n s^{2} n p^{6} \)
D. \( 1 s^{2} 2 s^{2} 2 p^{6} \ldots . . n s^{2} n p^{1} \)
Subject: Chemistry
The IUPAC name of
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{\mathbf{3}}\right)_{\boldsymbol{4}} \boldsymbol{C l}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right] \boldsymbol{C l} \) is
A. Tetraamminechloridonitrito-N-cobalt(III) chloride
B. Tetraamminechloridonitrocobalt(II) chloride
C. Tetraamminechloridonitrocobalt(I) chloride
D. Tetraamminechloridodinitrocobalt(III) chloride
Subject: Physics
The vibrations of a string of length \( 60 \mathrm{cm} \) fixed at both ends are
represented by the equation \( y= \) \( 4 \sin \left(\frac{\pi x}{15}\right) \cos (96 x t) \)
where \( x \) and \( y \) are in \( \mathrm{cm} \) and in seconds
A. what is the maximum displacement of a point at \( x= \) \( 5 \mathrm{cm}^{3} \)
B. where are the nodes located along the string?
c. what is the velocity of the particle at \( x=7.5 \mathrm{cm} \) at \( t= \) 0.25 sec?
D. write down the equations of the component waves whose superposition gives the above wave
Subject: Chemistry
Which one of the following processes does not occur during formation of
\( \boldsymbol{C H} \boldsymbol{C l}_{3} \) from \( \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{O H} \) and bleaching
powder?
A. Hydrolysis
B. Oxidation
c. Reduction
D. Chlorination
Subject: Physics
A fisherman lifts a fish of mass \( 250 g \)
from rest through a vertical height of 1.8 \( m \). The fish gains a speed of
\( 1.1 m s^{-1} \)
What is the energy gained by the fish?
A. \( 0.15 J \)
в. 4.3 .5
c. \( 4,4 J \)
D. 4.6 .5
Subject: Biology
What would happen if in a gene encoding a polypeptide of 50 amino acids, \( 25^{t h} \) codon (UAU) is mutated to
UAA?
A. A polypeptide of 24 amino acids will be formed.
B. Two polypeptides of 24 and 25 amino acids will be formed
c. A polypeptide of 49 amino acids will be formed
D. A polypeptide of 25 amino acids will be formed
Subject: Maths
Differentiate \( \frac{x}{\sin x} \) with respect to \( x \)
A \( \frac{\sin x+x \cos x}{\sin ^{2} x} \)
B. \( \frac{\sin x-x \cos x}{\sin ^{2} x} \)
\( \frac{\cos x+x \cos x}{\sin x} \)
D. \( \frac{\cos x-x \sin x}{\sin x} \)
Subject: Chemistry
The action of bacteria on meat and fish
produces a poisonous compound called cadaverine. As its name and origin imply, it stinks. It is \( 58.77 \% C, 13.81 \% \)
\( H \) and \( 27.42 \% N . \) Its molar mass is 102
g/mol. Determine the molecular formula of cadaverine.
A \( \cdot C_{6} H_{16} N \)
в. \( C_{5} H_{16} N_{2} \)
c. \( C_{5} H_{14} N_{2} \)
D. \( C_{4} H_{16} N_{3} \)
Subject: Chemistry
Which represents disproportionation?
This question has multiple correct options
\( \mathbf{A} \cdot 2 C u^{+} \rightarrow C u^{2+}+C u \)
B \( \cdot 3 I_{2} \rightarrow 5 I^{-}+I^{5+} \)
\( \mathbf{c} \cdot C u^{2+}+Z n \rightarrow Z n^{2+}+C u \)
\( \mathbf{D} \cdot P C l_{5} \rightarrow P C l_{3}+C l_{2} \)
Subject: Biology
The ozone layer: Between 15 and \( 50 \mathrm{km} \)
above the earth is a thin layer of gas called 'ozone'. It protects the earth from most of the sun's harmful ultraviolet
radiation. Too much radiation
causes blindness in animals and skin
cancer in people. In \( 1985, \) scientists discovered a hole in the ozone layer in the Antartica. They have recently discovered a smaller hole over the
arctic. The ozone layer is also becoming thinner over other locations of the earth
too. Scientists believe that over the last
10 years about \( 30 \% \) of the ozone layer has disappeared. This damage is caused by chemicals. Choose the right statement(s) from the following.
A. The greenhouse effect would be more efficient and the temperature of earth would increase.
B. CFCs would result in the depletion of the ozone layer
c. Infrared radiation from the sun would bombard earth
D. Ultraviolet radiation from the sun cannot enter earth
Subject: Chemistry
(i) Why do transition elements show variable oxidation states?
(ii) Name the element showing
maximum number of oxidation states
among the first series of transition metals from \( \boldsymbol{S} \boldsymbol{c}(\boldsymbol{Z}=\boldsymbol{2} \mathbf{1}) \) to \( \boldsymbol{Z} \boldsymbol{n}(\boldsymbol{Z}=\boldsymbol{3} \boldsymbol{0}) \)
(iii) Name the element which shows
only +3 oxidation state
(iv) What is lanthanoid contraction?
Name an important alloy which contains some of the lanthanoid metals
Subject: Physics
Equation of 251 mpu harmonic progression wave arriving at a point in the medium simultaneously \( \boldsymbol{y}_{1}=\mathbf{0 . 0 5} \sin 2 \pi\left(\mathbf{5 0 t}-\frac{\boldsymbol{x}}{\boldsymbol{\lambda}}\right) \boldsymbol{m} \)
\( \boldsymbol{y}_{2}=\mathbf{0 . 0 5} \sin 2 \pi\left(\mathbf{5 5 t}-\frac{\boldsymbol{x}}{\mathbf{2}}\right) \boldsymbol{m} \)
Calculate wavelength of first wave and beat frequency when sounded together.
Subject: Chemistry
The differential rate law for the reaction
\( \boldsymbol{H}_{2}+\boldsymbol{I}_{2} \rightarrow 2 \boldsymbol{H} \boldsymbol{I} \) is:
A \( \cdot-\frac{d\left[H_{2}\right]}{d t}=-\frac{d\left[I_{2}\right]}{d t}=-\frac{d[H I]}{d t} \)
B. \( \frac{d\left[H_{2}\right]}{d t}=\frac{d\left[I_{2}\right]}{d t}=\frac{1}{2} \frac{d[H I]}{d t} \)
c. \( \frac{1}{2} \frac{d\left[H_{2}\right]}{d t}=\frac{1}{2} \frac{d\left[I_{2}\right]}{d t}=-\frac{d[H I]}{d t} \)
D. \( -2 \frac{d\left[H_{2}\right]}{d t}=-2 \frac{d\left[I_{2}\right]}{d t}=\frac{d[H I]}{d t} \)
Subject: Maths
Find area between:
\( \boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\boldsymbol{y}^{2} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{y}=\boldsymbol{2}+\boldsymbol{x} \)
Subject: Physics
A weightless ladder 20 ft long assets
against a frictionless wall at an angle
\( 60^{\circ} \) from the horizontal. A 150 pound
man is 4 ft from the top of the ladder. A horizontal force is needed to keep it from slipping. Choose the correct magnitude from the following.
A . \( 175 ~ l b \)
B. \( 100 l b \)
c. \( 120 l b \)
D. 17.3 lb
Subject: Chemistry
The rate constant of a reaction is
\( 0.0693 \mathrm{min}^{-1} . \) Starting with \( 10 \mathrm{mol} \), the
rate of the reaction after 10 min is:
A. 0.0693 mol \( \min ^{-1} \)
B. \( 0.0693 \times 2 \) mol \( \min ^{-1} \)
c. \( 0.0693 \times 5 \) mol \( \min ^{-1} \)
D. 0.0693 \( \times 5^{2} \) mol \( \min ^{-1} \)
Subject: Physics
A source of constant potential
difference is connected across a
conductor having irregular cross section as shown,then
A. Electric field intensity at \( P \) is greater than that at \( Q \)
B. rate of electrons crossing per unit area of cross section at \( P \) is less than that at \( Q \)
c. the rate of generation of heat per unit length at \( P \) is greater than at \( Q \)
D. mean kinetic energy of free electrons at \( P \) is greater than that at \( Q \)
Subject: Chemistry
Select the correct option(s) for ab ideal
gas:
This question has multiple correct options
A. Most probable speed increases with increases in temperature
B. Fraction of particles moving with most probable speed increase with increases in temperature
C. Fraction of particles moving with most probable speed are more for \( C l_{2} \) than \( H_{2} \) under similar condition of \( T \)
\( P \& V \)
D. Most probable speed is more for \( C l_{2} \) than \( H_{2} \) at same temperature
Subject: Chemistry
\( \mathbf{2} z \boldsymbol{n}+\boldsymbol{O}_{2} \rightarrow \mathbf{2} \boldsymbol{Z} \boldsymbol{n} \boldsymbol{O} \quad \boldsymbol{\nabla} \boldsymbol{G}^{o}=-\boldsymbol{6} \mathbf{1 6} \boldsymbol{J} \)
\( \mathbf{2} z \boldsymbol{n}+\boldsymbol{S}_{2} \rightarrow \mathbf{2} \boldsymbol{Z} \boldsymbol{n} \boldsymbol{S} \quad \boldsymbol{\nabla} \boldsymbol{G}^{\boldsymbol{o}}=-\boldsymbol{2} \boldsymbol{9} \boldsymbol{3} \boldsymbol{J} \)
\( \boldsymbol{S}_{2}+\mathbf{2 0}_{2} \rightarrow \mathbf{2 S O}_{2} \quad \boldsymbol{\nabla} \boldsymbol{G}^{\boldsymbol{o}}=-\boldsymbol{4 0 8} \boldsymbol{J} \)
\( \nabla G^{o} \) for the following reaction is :
\( 2 Z n s+3 O_{2} \rightarrow 2 Z n O+2 S O_{2} \)
B. 1317 J
c. 501
D. + 731 J
Subject: Chemistry
Assertion: The element carbon forms
the basic structural framework of more
compounds than any other element Reason: The carbon-carbon bond is
ionic.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
E. Both Assertion and Reason are incorrect
Subject: Physics
A slide projector gives magnification of
10. If it projects a slide of \( 3 c m \times 2 c m \)
on a screen, the area of image on screen is:
\( \mathbf{A} \cdot 6000 \mathrm{cm}^{2} \)
В. \( 600 \mathrm{cm}^{2} \)
c. \( 3600 \mathrm{cm}^{2} \)
D. \( 12000 \mathrm{cm}^{2} \)
Subject: Maths
State whether the following statement is true or false.

If \( P \) divides \( O A \) internally in the ratio
\( \lambda_{1}: \lambda_{2} \) and \( Q \) divides \( O A \) externally in
the ratio \( \lambda_{1}: \lambda_{2} \), then \( O A \) is the
harmonic mean of \( O P \) and \( O Q \)
A. True
B. False
Subject: Maths
For the equation given below, find the the slope and the y-intercept \( : 3 y=7 \)
A \( \cdot 0 \) and \( \frac{7}{3} \)
B. \( _{0} \) and \( -\frac{7}{3} \)
c. \( -\frac{7}{3} \) and 0
D. \( \frac{7}{3} \) and 0
Subject: Physics
A single-layer coil (solenoid) has length
and cross-section radius \( R \) A number
of turns per unit length is equal to \( n \) The magnetic induction at the centre of
the coil when a current \( I \) flows through it is given as \( B=\frac{x \mu_{0} n I}{\sqrt{1+\left(\frac{2 R}{l}\right)^{2}}} . \) Find
\( \boldsymbol{x} \)
Subject: Maths
Let, \( \vec{a} \) and \( \vec{c} \) are unit vectors and \( |\vec{b}|=4 . \) The angle between \( \vec{a} \) and \( \vec{c} \) is \( \cos ^{-1}\left(\frac{1}{4}\right) \cdot \operatorname{lf} \vec{b}-2 \vec{c}=\lambda \vec{a}, \) then \( \lambda \) is
equal to
A .3,4
в. -3,4
\( c \cdot 3,-4 \)
D. \( \frac{1}{4}, \frac{3}{4} \)
Subject: Maths
n figure 2 , if \( D E \| B C \), then the value
of \( x \) is equal to
\( A \cdot 3 \mathrm{cm} \)
B. \( 4 \mathrm{cm} \)
\( c \cdot 7 c m \)
D. \( 4.7 \mathrm{cm} \)
Subject: Chemistry
Which of the following not represents redox reactions?
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-}+\boldsymbol{2} \stackrel{\theta}{\boldsymbol{O}} \boldsymbol{H} \longrightarrow \boldsymbol{2} \boldsymbol{C r} \boldsymbol{O}_{4}^{2-}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
II. \( Z n+C u S O_{4} \longrightarrow Z n S O_{4}+C u \)
III. \( 2 M n O_{4}^{\ominus}+3 M n^{2+}+4 \stackrel{\theta}{O} H \longrightarrow \)
\( \mathbf{5} M n O_{2}+2 H_{2} O \)
IV. \( 2 C u^{\oplus} \longrightarrow C u+C u^{2+} \)
\( A \)
в. ।, ॥
c. ॥ा, ।॥
D. ॥, ॥I, IV
Subject: Physics
In an experiment electrons are accelerated,from rest, by applying a
voltage of \( 500 V . \) Calculate the radius of
the path if a magnetic field \( 100 m T \) is then applied.[Charge of the electron = \( 1.6 \times 10^{-19} C \) Mass of the electron \( = \)
\( 9.1 \times 10^{-31} k g \)
A. \( 7.5 \times 10^{-4} m \)
В. \( 7.5 \times 10^{-3} m \)
\( c .7 .5 m \)
D. \( 7.5 \times 10^{-2} \mathrm{m} \)
Subject: Physics
Area of a square is \( (100 \pm 2) m^{2} . \) Its
side is:
A. \( (10 \pm 1) m \)
в. \( (10 \pm 0.1) m \)
c. \( (10 \pm \sqrt{2}) m \)
D. \( 10 \pm \sqrt{2} \% \)
Subject: Physics
Assertion
There is no difference in the graphs of momentum an velocity of a body performing SHM.
Reason
Momentum is proportional to velocity of
a body.
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 are incorrect