AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
\( \left(14 x^{2} y z-28 x^{2} y^{2} z^{3}+32 y^{2} z^{2}\right) \div \)
\( (-4 x y) \) is equal to
A \( \cdot \frac{7}{2} y z+7 x y z^{2}+8 x y z \)
B. \( -\frac{7}{2} x z+7 x y z^{3}-\frac{8 y z^{2}}{x} \)
\( ^{\mathbf{C}}-\frac{7}{2} x z-7 x y z^{3}+\frac{8 y z^{2}}{x} \)
D \( -\frac{7}{2} x z-7 x y z^{2}-\frac{8 y z^{2}}{x} \)
Subject: Chemistry
Fill in the blanks by choosing the appropriate word/words from those given in the brackets:
(increases, decreases, positive, efficient, \( 68, \) non-efficient, no \( \alpha \)
hydrogen, \( \alpha \) -hydrogen, negative, Rosenmund's, greater, Cannizzaro, 74 common-ion effect, lesser, buffer action, diamagnetic, paramagnetic) The more is standard reduction
potential of a metal, the is its
ability to displace hydrogen from acids.
Subject: Maths
\( \lim _{x \rightarrow 0}\left(\frac{1^{1 / x}+2^{1 / x}+3^{1 / x}+\ldots . . n^{1 / x}}{n}\right)^{n x} \)
is equal to
A . \( n \)
B.
c. \( \frac{1}{n !} \)
\( D \)
Subject: Maths
\( \sin ^{3} x-\sin ^{3}\left(240^{0}-x\right)+\sin ^{3}\left(240^{0}+\right. \)
\( \boldsymbol{x}) \in \)
\( [-\boldsymbol{k}, \boldsymbol{k}]=\rangle \boldsymbol{k}= \)
\( A \)
B. \( 1 / 4 \)
\( c \cdot 3 / 4 \)
\( D \cdot 5 / 4 \)
Subject: Maths
Evaluate the integral \( \int \frac{2 x+3}{\sqrt{x^{2}+4 x+1}} d x \)
A \( \cdot 2 \sqrt{x^{2}+4 x+1}-\log |x+2+\sqrt{x^{2}+4 x+1}|+C \)
B. \( \sqrt{x^{2}+4 x-1}-\log |x+2+\sqrt{x^{2}+4 x-1}|+C \)
c. \( 2 \sqrt{x^{2}+4 x+1}-\log |x-2+\sqrt{x^{2}-4 x+1}|+C \)
D. \( \sqrt{x^{2}+4 x-1}-\log |x-2+\sqrt{x^{2}+4 x-1}|+C \)
Subject: Maths
(a) Find the unit vector which is parallel to the vector \( \overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-2 \widehat{\mathrm{k}} \)
(b) Find the unit vector which is
perpendicular to both of the vector \( \overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}} \) and \( \vec{B}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+12 \widehat{\mathrm{k}} \)
Subject: Physics
A projectile aimed at a mark which is in
the horizontal plane through the point of projection falls a cm short of it when the
elevation is \( \alpha \) and goes \( b c m \) too far
when the elevation is \( \beta . \) Show that if the
velocity of projection is same in all the case, the proper elevation is \( \frac{1}{2} \sin ^{-1}\left[\frac{b \sin 2 \alpha+a \sin 2 \beta}{a+b}\right] \)
Subject: Chemistry
The vapour pressure of a pure liquid \( \mathbf{A} \)
is 70 torr at 300 K. It forms an ideal
solution with another liquid B. The mole fraction of \( \mathrm{B} \) in the solution is 0.2 and
total pressure of solution is 84 torr at \( 300 \mathrm{K} . \) The vapour pressure of pure liquid B at 27C is?
A. 0.14 torr
B. 560 torr
c. 140 tor
D. 70 torr
Subject: Chemistry
Identify Bronsted-Lowry acids in the reaction given below? \( \left[\begin{array}{c}\left.\boldsymbol{A l}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right]^{3+}+\boldsymbol{H} \boldsymbol{C O}_{3}^{-} \rightleftharpoons\end{array}\right. \)
\( \left[A l\left(H_{2} O\right)_{S}(O H)\right]^{2+}+H_{2} C O_{3} \)
The correct answer is:
\( A \cdot A, C \)
B. A, D
c. в, D
D. B, c
Subject: Maths
Family of curves \( \boldsymbol{y}=e^{x}(\boldsymbol{A} \cos \boldsymbol{x}+ \)
\( B \sin x), \) represents the differential
equation?
A \( \cdot \frac{d^{2} y}{d x^{2}}=2 \frac{d y}{d x}-y \)
B. \( \frac{d^{2} y}{d x^{2}}=2 \frac{d y}{d x}-2 y \)
\( ^{\mathbf{C}} \cdot \frac{d^{2} y}{d x^{2}}=\frac{d y}{d x}-2 y \)
D. None of the above
Subject: Maths
If \( P \) and \( Q \) are two points on the
diagonal \( D B \) such that \( D P=P Q= \)
\( Q B \) then area of the \( \Delta C P Q \) in square
units is
A \( \cdot \frac{1}{3} \)
B. \( \frac{1}{2} \)
\( c \cdot \frac{1}{4} \)
D.
Subject: Chemistry
The correct IU \( P A C \) name of the
following compound \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C H}_{2}-\boldsymbol{C} \equiv \)
\( \boldsymbol{C H} \)
A. Butadiene
B. Butyne
c. Butenynw
D. Butynene
Subject: Physics
A steel ball of mass \( m \) falls in a viscous
liquid with terminal velocity \( v, \) then the
steel ball of mass \( 8 m \) will fall in the
same liquid with terminal velocity:
\( A \)
B. \( 4 v \)
\( c \cdot 8 v \)
D. \( 16 \sqrt{2} v \)
Subject: Maths
For real \( \boldsymbol{x} \), let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\mathbf{5} \boldsymbol{x}+\mathbf{1}, \) then
A. \( f \) is onto \( R \) but not one-one
B. \( f \) is one-one and onto \( R \)
c. \( f \) is neither one-one nor onto \( R \)
D. \( f \) is one-one but not onto \( R \)
Subject: Maths
If \( |a|<1 \) and \( |b|<1 \) then
\( \boldsymbol{S}=\mathbf{1}+(\mathbf{1}+\boldsymbol{a}) \boldsymbol{b}+\left(\mathbf{1}+\boldsymbol{a}+\boldsymbol{a}^{2}\right) \boldsymbol{b}^{2}+\dots \)
\( = \)
A \( \cdot \frac{1}{(1-b)(1-a b)} \)
B. \( \frac{1}{(1+b)(1-a b)} \)
c. \( \frac{1}{(1-b)(1+a b)} \)
D. \( \frac{1}{(1+b)(1+a b)} \)
Subject: Maths
Two cards are drawn from a single deck of 52 cards one after the other. Find the
probability of selecting a king from the first card and queen from the second card.
A \( \cdot \frac{1}{26} \)
в. \( \frac{4}{52} \)
c. \( \frac{16}{663} \)
D. \( \frac{4}{663} \)
Subject: Physics
Two sinusoidal waves with same
wavelengths and amplitudes travel in opposite directions along a string with a speed \( 10 \mathrm{m} s^{-1} . \) If the minimum time
interval between two instant when the
string is flat is \( 0.5 s, \) the wavelength of the waves is?
A \( .25 \mathrm{m} \)
в. 20
\( c .15 \mathrm{m} \)
D. 10
Subject: Chemistry
Assertion (A): The hydrides of VA group elements are good reducing agents.
Reason \( (\mathrm{R}): N H_{3} \) is a weak reducing
agent among the hydrides of VA group.
A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the correct explanation of (A)
\( c . \) (A) is true and
(R) is false
D. (A) is false but (R) is true
Subject: Maths
The outcome of each of 30 items was observed; 10 items gave an outcome \( \frac{1}{2} \) deach, 10 items gave outcome \( \frac{1}{2} \) each
and the remaining 10 items gave outcome \( \frac{1}{2}+d \) each. If the variance of this outcome data is \( \frac{4}{3} \) then \( |\boldsymbol{d}| \) equals:-
A. 2
B. \( \frac{\sqrt{5}}{2} \)
\( c \cdot \frac{2}{3} \)
D. \( \sqrt{2} \)
Subject: Chemistry
Which of the following catalyst is used in contact process for manufacture of
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
A. Oxides of nitrogen
в. \( V_{2} \), \( O_{5} \)
\( \mathrm{c} \cdot \mathrm{Fe}_{2} \mathrm{O}_{3} \)
D. Platinised asbestos
Subject: Physics
A wire carrying current \( i \) has the configuration shown in the figure. Two semi-infinite straight sections, each tangent to the same circle, are
connected by a circular arc, of angle \( \boldsymbol{\theta} \)
along the circumference of the circle,
with all sections lying in the same plane. What must \( \theta \) (in rad) be in order
for \( B \) to be zero at the center of
the circle?
Subject: Maths
If the equation \( 16 x^{2}+6 k x+4=0 \) has
equal roots, then the value of \( k \) is
\( \mathbf{A} \cdot \pm 8 \)
в. \( \pm \frac{8}{3} \)
\( c \cdot_{\pm \frac{3}{8}} \)
D. 0
Subject: Chemistry
According to adsorption theory of catalysis, the rate of reaction increases with the use of a catalyst because:
A. the heat liberated during adsorption increases the rate of reaction
B. the kinetic energy of reactants increases which increases the rate of reaction
C. the activation energy of reaction increases which increases the rate of reaction
D. the concentration of reactants at the active centres
becomes high due to adsorption resulting in increase in the rate of reaction.
Subject: Physics
Which atom contains exactly 15
neutrons?
A \( \cdot P^{32} \) (atomic number \( =17 \) )
B. \( S^{32} \) (atomic number \( =16 \) )
\( \mathrm{c} \cdot O^{15} \) (atomic number \( =8 \)
D. \( N^{15} \) stomic number \( =7 \)
Subject: Maths
Determine the values of \( p \) for which
the quadratic equation \( 2 x^{2}+p x+8= \)
0 has real roots.
A. \( p<-8 \) or \( p>8, p \in R \)
в. \( p \geq-8 \) and \( p \leq 8, p \in R \)
c. \( p \leq-8 \) or \( p \geq 8, p \in R \)
D. \( p>-8 \) and \( p<8, p \in R \)
Subject: Maths
If roots of the equations \( (b-c) x^{2}+ \)
\( (c-a) x+a-b=0, \) where \( b \neq c, \) are
equal, then a, b, c are in?
A. G.P
B. H.P.
\( c \cdot \) A.P
D. A.G.P.
Subject: Physics
Q Type your question
vertical position and touching a block of mass \( M \) which is a rest on a horizontal
surface. The rod is given a slight jerk
and it starts rotating about point \( \boldsymbol{O} \)
This causes the block to move forward
as shown. The rod loses contact with the
block at \( \boldsymbol{\theta}=\mathbf{3 0}^{\circ} \) All surfaces are
smooth. Now answer the following
questions. The velocity of block when
the rod loses contact with the block is
A \( \cdot \frac{3 g l}{4} \)
B. \( \frac{5 g l}{4} \)
c. \( \frac{6 g l}{4} \)
D. \( \frac{7 g l}{4} \)
Subject: Chemistry
Which of the following expressions
is/are not true?
\( \mathbf{A} \cdot\left[H^{+}\right]=\left[O H^{-}\right]=\sqrt{K_{w}} \) for a neutral solution at al
temperatures
B \( \cdot\left[H^{+}\right]>\sqrt{K_{w}} \&\left[O H^{-}\right]<\sqrt{K_{w}} \) for an acidic solution
\( \mathbf{C} \cdot\left[H^{+}\right]<\sqrt{K_{w}} \&\left[O H^{-}\right]>\sqrt{K_{w}} \) for an alkaline solution
D \( \cdot\left[H^{+}\right]=\left[O H^{-}\right]=10^{-7} M \) for a neutral solution at all
temperatures
Subject: Physics
Material 1 has an index of refraction of
1.15.
Material 2 has an index of refraction of
\( \mathbf{2 . 3 0} \)
If light passes from air into each of these materials at the same angle of
incidence, how will the angle of
refraction in material 1 compare to the
angle of refraction in material \( 2 ? \)
A. The angle of refraction in material 1 will be half as much as the angle of refraction in material 2
B. The angle of refraction in material 1 will be greater than the angle of refraction in material 2
C. The angle of refraction in material 1 will be less than the angle of refraction in material 2 but not necessarily half as much as the angle of refraction in material 2
D. The angle of refraction in material 1 will be less than the angle of refraction in material 2 but not necessarily twice as much as the angle of refraction in material 2
E. The angle of refraction in material 1 will be one-fourth as much as the angle of refraction in material 2
Subject: Maths
Express the trigonometric ratios
\( \sin A, \sec A \) and \( \tan A \) in terms of \( \cot A \)
\( ^{\mathbf{A}} \cdot \sin A=\frac{1}{\sqrt{\cot A+1}} \)
\( \sec A=\frac{\sqrt{\cot ^{2} A-1}}{\cot A} \)
\( \tan A=\frac{1}{\cot A} \)
B. \( \sin A=\frac{1}{\sqrt{\cot ^{2} A+1}} \)
\( \sec A=\frac{\sqrt{\cot ^{2} A+1}}{\cot A} \)
\( \tan A=\frac{1}{\cot A} \)
\( ^{\mathrm{C}} \cdot \sin A=\frac{1}{\sqrt{\cot A-1}} \)
\( \sec A=\frac{\sqrt{\cot ^{2} A+\sin A}}{\cot A} \)
\( \tan A=\frac{1}{\cot A} \)
D. None of these
Subject: Maths
\( \operatorname{Let} f(x)=\frac{\sqrt{\operatorname{sgn}\left(\alpha x^{2}+\alpha x+1\right)}}{\cot ^{-1}\left(x^{2}-\alpha\right)} \)
\( f(x) \) is continuous for all \( x \in R, \) then
number of integer in the range of \( \alpha \), is [Note : sgn k denotes signum function of k.
\( \mathbf{A} \cdot \mathbf{0} \)
B. 4
c. 5
D. 6
Subject: Biology
Assertion
Methane is a component of greenhouse gases and contributing to global warming about 20 percent.
Reason
Introduction of multi-point fuel
injection engines in automobiles has decreased methane content in the
exhausts.
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
If the temperature of a wire of length
\( 2 m \) and area of cross section \( 1 \mathrm{cm}^{2} \) is
increased from \( 0^{0} C \) to \( 80^{0} C \) and is not
allowed to increase in length, then required for it is \( \boldsymbol{Y}=\mathbf{1 0}^{\mathbf{1 0}} \boldsymbol{N} / \boldsymbol{m}^{\mathbf{2}} \)
A. \( 0.008 N \)
B. \( 1.06 N \)
\( c \cdot 2 \cdot 4 N \)
D. \( 3.2 N \)
Subject: Maths
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}\left(\frac{1}{x-1}+\frac{1}{x}+\frac{1}{x+1}\right), \boldsymbol{x}>1 \)
Then
A. \( f(x) \leq 1 \)
B. \( 1<f(x) \leq 2 \)
c. \( 2<f(x) \leq 3 \)
D. \( f(x)>3 \)
Subject: Chemistry
Two oxides of Nitrogen, \( N O \) and \( N O_{2} \)
react together at \( 253 K \) and form a compound Nitrogen \( X . X \) reacts with water to yield another compound of Nitrogen Y. The shape of the anion of \( Y \) molecule is:
A. Tetrahedral
B. Triangular planar
c. Square planar
D. Pyramidal
Subject: Chemistry
\( R-X \) bond polarity order is:
A. \( C-F>C-C l>C-B r>C-I \)
в. \( C-C l>C-F>C-B r>C-I \)
c. \( C-B r>C-F>C-I>C-C l \)
D. \( C-I>C-C l>C-B r>C-F \)
Subject: Maths
The line \( 3 x+2 y=13 \) divides the area
enclosed by the curve \( 9 x^{2}+4 y^{2}- \)
\( 18 x-16 y-11=0 \) in two parts Find
the ratio of the larger area to the smaller area
A \( \cdot \frac{3 \pi+2}{\pi-2} \)
в. \( \frac{3 \pi-2}{\pi+2} \)
c. \( \frac{\pi+2}{\pi-2} \)
D. \( \frac{\pi-2}{\pi+2} \)
Subject: Physics
The barometric pressure and height on the earth are \( 10^{5} \) Pa and \( 760 \mathrm{mm} \). If it is
taken to moon, then barometric height will be :-
A. 76 mm
B. \( 126.6 \mathrm{mm} \)
c. zero
D. 760 \( \mathrm{mm} \)
Subject: Physics
Two blocks of the same metal having
the same mass and at temperature \( T_{1} \)
and \( T_{2}, \) respectively. are brought in
contact with each other and allowed to
attain thermal equilibrium at constant
pressure. The change in entropy, \( \Delta S \), for this process is :
\( ^{\mathbf{A}} \cdot 2 C_{p} \ln \left(\frac{T_{1}+T_{2}}{4 T_{1} T_{2}}\right) \)
\( ^{\mathrm{B}} 2 C_{p} \ln \left[\frac{\left(T_{1}+T_{2}\right)^{\frac{1}{2}}}{T_{1} T_{2}}\right] \)
\( ^{\mathbf{c}} \cdot_{C_{p} l n}\left[\frac{\left(T_{1}+T_{2}\right)^{2}}{4 T_{1} T_{2}}\right] \)
D \( \cdot 2 C_{p} \ln \left[\frac{T_{1}+T_{2}}{2 T_{1} T_{2}}\right] \)
Subject: Chemistry
The lattice energy of \( C a O(s) \) is \( -3460 \mathrm{kJ} \)
\( \mathrm{mol}^{-1} ; \) the lattice energy of \( \boldsymbol{K}_{2} \boldsymbol{O} \) is
\( -2240 \mathrm{kJ} \mathrm{mol}^{-1} . \) This difference is
because \( K^{+}>C a^{2+}(\text { size }), K^{+}< \)
\( C a^{2+}(\text { charge }) \)
If true enter 1 , else enter 0 .
Subject: Maths
The following frequency table shows that the demand for a sweet and the
number of customers. Find the mode of
demand of sweet.
weight of \( \begin{array}{ll}250- & 500- \\ 500 & 750\end{array} \) sweet \( \begin{array}{ll}0- & 25 \\ 250 & 50\end{array} \) (gram)
No. of
60
25
custome
Subject: Physics
A small body \( A \) is fixed to the inside of \( a \)
thin rigid hoop of radius \( R \) and mass
equal to that of the body \( A \). The hoop rolls without slipping over a horizontal plane; at the moments when the body \( A \)
gets into the lower position, the centre
of the hoop moves with velocity \( v_{0} \) figure shown above). If the hoop moves without bouncing for \( v_{0}=\sqrt{x g R} \), then
find the value of \( x \)
Subject: Chemistry
A quantity of \( 1.4 g \) of a hydrocarbon gives \( 1.8 g \) water on complete combustion. The empirical formula of hydrocarbon is :
A \( . C H \)
в. \( C H_{2} \)
\( \mathrm{c} \cdot \mathrm{CH}_{3} \)
D. \( C H_{4} \)
Subject: Chemistry
For which of the following reaction
\( \boldsymbol{K}_{\boldsymbol{p}}=\boldsymbol{K}_{c} ? \)
\( \mathbf{A} \cdot N_{2(g)}+3 H_{2(g)} \rightleftharpoons 2 N H_{3(g)} \)
B. \( 2 \mathrm{NOCl}_{(g)} \rightleftharpoons 2 \mathrm{NO}_{(g)}+\mathrm{Cl}_{2(g)} \)
C. \( H_{2(g)}+I_{2(g)} \rightleftharpoons 2 H I_{(g)} \)
D. \( C O_{2(g)}+C_{(s)} \rightleftharpoons 2 C O_{(g)} \)
Subject: Chemistry
An inorganic salt (A) is decomposed at about \( 523 \mathrm{K} \) to give products \( (\mathrm{B}) \) and
(C). Compound (C) is a liquid at room temperature and is neutral to litmus
paper while oxide (B) on burning with phosphorous, given a dehydrating agent
(D). Compounds \( (A),(B),(C) \) and \( (D) \) will be identified as :
A. \( N H_{4} N O_{3}, N_{2} O, H_{2} O, P_{2} O_{5} \)
B. \( N H_{4} N O_{2}, k_{2} O, H_{2} O, P_{2} O_{5} \)
c. \( C a C O_{3}, C a O, H_{2} O, C a C l_{2} \)
D. \( C a C O_{3}, C a O, H_{2} O, C a(O H)_{2} \)
Subject: Physics
The distance traveled by a body in \( I V^{t h} \) second is twice the distance traveled in
\( I I^{n d} \) second. If the acceleration of the
body is \( 3 m / s^{2}, \) then its initial velocity
is
\( ^{\mathrm{A}} \cdot \frac{3}{2}^{m / s} \)
в. \( \frac{5}{2} m / s \)
c. \( \frac{7}{2}^{m / s} \)
D. \( \frac{9}{2} \) m \( / \) s
Subject: Chemistry
Match the correct atomic radius with
the element:
\( \begin{array}{ll}\text { Element } & \text { Atomic radius }(\mathrm{pm}) \\ \text { (a) } B e & \text { (p) } 74 \\ \text { (b) } C & \text { (q) } 88 \\ \text { (c) } O & \text { (r) } 111 \\ \text { (d) } B & \text { (s) } 77 \\ \text { (e) } N & \text { (t) } 66\end{array} \)
Subject: Chemistry
As proved by many studies, the
greenhouse effect is rapidly increasing
because of increase in the
concentration of carbon dioxide. In the
given graph, the increase in carbon
dioxide concentration is shown.What
could be \( X \) corresponding to it?
(i) Rate of photosynthesis in plants
(ii) \( p H \) of the oceans
(iii) Water level of ocean
(iv) Average global temperature of earth
A. (i) and (iii)
B. (ii) and (iv)
C . (ii) only
D. (iv) only
Subject: Maths
\( \forall \boldsymbol{n} \in \boldsymbol{N}, \boldsymbol{2} \cdot \boldsymbol{4}^{2 n+1}+\boldsymbol{3}^{3 n+1} \) is divisible by
\( A \cdot 7 \)
B. 5
c. 11
D. 209
Subject: Physics
A cell of emf \( E \) is connected to a
resistance \( R_{1} \) for time \( t \) and the amount
of heat generated in it is \( H . \) If the
resistance \( R_{1} \) is replaced by another
resistance \( \boldsymbol{R}_{2} \) and is connected to the
cell for the same time \( t, \) the amount of
heat generated in \( \boldsymbol{R}_{2} \) is \( 4 \boldsymbol{H} \). Then
internal resistance of the cell is:
A. \( \frac{2 R_{1}+R_{2}}{2} \)
в. \( \sqrt{R_{1} R_{2}} \times \frac{2 \sqrt{R_{2}}-\sqrt{R_{1}}}{\sqrt{R_{2}}-2 \sqrt{R_{1}}} \)
c. \( \sqrt{R_{1} R_{2}} \times \frac{\sqrt{R_{2}}-2 \sqrt{R_{1}}}{2 \sqrt{R_{2}}-\sqrt{R_{1}}} \)
D. \( \sqrt{R_{1} R_{2}} \times \frac{\sqrt{R_{2}}-\sqrt{R_{1}}}{\sqrt{R_{2}}+\sqrt{R_{1}}} \)
Subject: Physics
A stretched rope having linear mass density \( 5 \times 10^{-2} k g m^{-1} \) is under a
tension of 80 N. The power that has to be supplied to the rope to generate harmonic waves at a frequency of \( 60 \mathrm{Hz} \) and an amplitude of \( 6 \mathrm{cm} \) is (nearly)
A . 215 \( \mathrm{w} \)
B. 251 W
c. \( 10368 \mathrm{w} \)
D. 521
Subject: Physics
The value of \( g \) near the earth's surface is
A \( \cdot 8.9 m / s^{2} \)
в. \( 8.9 m / s \)
\( \mathrm{c} \cdot 9.8 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 9.8 m / s \)
Subject: Biology
Which of the following statements are
correct?
A.Tapeworms are hermaphrodites and undergo self-fertilization.
B. Earthworms are hermaphrodites and undergo self-fertilization.
C. Tapeworms are hermaphrodites but undergo cross-fertilization.
D. Earth worms are hermaphrodites but undergo cross-fertilization.
A . A and B
B. B andc
\( c \cdot c \) and \( D \)
D. D and A
Subject: Chemistry
The IUPAC name of the red coloured
\( \operatorname{complex}\left[\boldsymbol{F e}\left(\boldsymbol{C}_{4} \boldsymbol{H}_{7} \boldsymbol{O}_{2} \boldsymbol{N}_{2}\right)_{2}\right] \) obtained
from the reaction of \( F e^{2+} \) and dimethyl
glyoxine
A. bis(dimethyl flyoxime) ferrate(II)
B. bis (dimethyl glyoximato) iron(II)
c. bis (2, 3-butanediol dioximato) iron(II)
D. bis (2, 3-butanedione dioximato) iron(II)
Subject: Chemistry
The treatment of \( \boldsymbol{C H}_{3} \boldsymbol{M} \boldsymbol{g} \boldsymbol{X} \) with
\( \boldsymbol{C H}_{3} \boldsymbol{C} \equiv \boldsymbol{C}-\boldsymbol{H} \) produces:
A. \( C H_{3} M g X=C-C H_{3} \)
в. \( C H_{3} C H=C H C H_{3} \)
c. \( C H_{4} \)
D. \( \left(C H_{3}\right)_{2} C=C H_{2} \)
Subject: Chemistry
Which equation is correctly labeled
oxidation or reduction?
\( \mathbf{A} \cdot H_{2} S=S+2 e^{-}+2 H^{+} \)
oxidation
B \( \cdot S O_{2}+4 e^{-}+2 H_{2} O=S+4 O H^{-} \)
oxidation
\( \mathbf{C} \cdot N H_{3}+H C l=N H_{4}++C l_{2}^{-} \)
oxidation
D. \( N a C l+A g N O_{3}=A g C l+N a N O_{3} \)
reduction
\( \mathrm{E} \cdot M n^{2+}=M n O_{4} \)
reduction
Subject: Maths
If \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{S} \) defined by \( \boldsymbol{f}(\boldsymbol{x})=\sin \boldsymbol{x}- \)
\( \sqrt{3} \cos x+1 \) is onto, then the interval of
\( \boldsymbol{S} \) is
A \( \cdot[-1,3] \)
в. [1,1]
c. [0,1]
D. [0,-1]
Subject: Maths
Draw a circle with center \( \boldsymbol{O} \) and radius
6cm. Take a point \( \boldsymbol{P} \) outside the circle
at a distance of \( 10 \mathrm{cm} \) from \( O . \) Draw
tangents to the circle from point \( P . \) Let
the tangents intersect the circle in points \( A \) and \( B . \) Find the approximate
value of \( \angle B O P \) in degrees.
A \( .37^{\circ} \)
B. \( 53^{\circ} \)
\( c \cdot 45^{\circ} \)
D. None of these
Subject: Maths
Given 5 line segments of lengths 2,3,4,5,6 units. Then the number of
triangles that can be formed by joining
these lines is
\( \mathbf{A} \cdot^{5} C_{3} \)
B. \( ^{5} C_{3}-3 \)
c. \( ^{5} C_{3}-2 \)
D. \( ^{5} C_{3}-1 \)
Subject: Maths
A cylindrical cistern whose diameter is
\( 21 c m \) is partly filled with water. If a
rectangular block of iron \( 14 \mathrm{cm} \) in length, \( 11 c m \) in breadth and \( 12 c m \) in thickness if wholly immersed in water, by how many centimetres will the water level rise? \( \left(\boldsymbol{\pi}=\frac{\mathbf{2 2}}{\mathbf{7}}\right) \)
Subject: Physics
A thermally insulated vessel contains
\( 150 g \) of water at \( 0^{\circ} \mathrm{C} \). Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and the
rest evaporates at \( 0^{\circ} \mathrm{C} \) itself. The mass
of evaporated water will be closest to:
(Latent heat of vaporization of water \( = \)
\( 2.10 \times 10^{6} J k g^{-1} \) and Latent heat of
Fusion of water \( \left.=\mathbf{3 . 3 6} \times \mathbf{1 0}^{\mathbf{5}} \mathbf{J} \mathbf{k g}^{-\mathbf{1}}\right) \)
A . \( 130 g \)
B. \( 35 g \)
c. \( 20 g \)
D. \( 150 g \)
Subject: Physics
(a) In a metre bridge [Fig.], the balance point is found to be at \( 39.5 \mathrm{cm} \) from the
end \( A, \) when the resistor \( Y \) is of \( 12.5 \Omega \)
Determine the resistance of X. Why are the connections between resistors in a
Wheat stone or meter bridge made of thick copper strips?(b) Determine the balance point of the bridge above if \( \mathbf{X} \)
and \( Y \) are interchanged.(c) What
happens if the galvanometer and cell
are interchanged at the balance point of the bridge? Would the galvanometer show any current?
Subject: Biology
Assertion
In angiosperms, the conduction of water is more efficient because their xylem
has vessel.
Reason
Conduction of water by vessel elements
is an active process with energy
supplied by xylem parenchyma rich in mitochondria.
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 correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Both Assertion and Reason are incorrect.
Subject: Biology
In the absence of greenhouse gases, the temperature of earth's surface will fall
to
A \( \cdot 0^{\circ} \mathrm{C} \)
B . \( -5^{\circ} \mathrm{C} \)
c. \( -10^{\circ} \mathrm{C} \)
D. \( -20^{\circ} \mathrm{C} \)
Subject: Physics
A small ball is pushed from a height h along a smooth hemispherical bowl of radius R. With what speed should the
ball be pushed so that it just reaches the top of the opposite end of the bowl?
A. \( \sqrt{2 g h} \)
B . \( \sqrt{2} g h(R+h) \)
c. \( \sqrt{2} g(R-h) \)
D. None of these
Subject: Physics
If \( n_{r} \) and \( n_{b} \) are the number of photons
of red and blue lights respectively with same energy, then
A \( \cdot n_{r}>n_{b} \)
в. \( n_{r}<n_{b} \)
\( \mathbf{c} \cdot n_{r}=n_{b} \)
D. no relation between \( n_{r} \) and \( n_{b} \)