AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
If \( n \epsilon N>1 \), then the sum of real part of
roots of \( z^{n}=(z+1)^{n} \) is equal to
A \( \cdot \frac{n}{2} \)
в. \( \frac{(n-1)}{2} \)
\( c \cdot-\frac{n}{2} \)
D. \( \frac{(1-n)}{2} \)
Subject: Physics
A particle is projected vertically upwards from a point \( A \) on the ground.
It takes \( t_{1} \) time to reach a point \( B \) but it
still continues to move up. If it takes
further \( t_{2} \) time to reach the ground from
point \( B \) then height of point \( B \) from the ground is
A \( \cdot \frac{1}{2}\left(t_{1}+t_{2}\right)^{2} \)
B. \( g t_{1} t_{2} \)
c. \( \frac{1}{8}\left(t_{1}+t_{2}\right)^{2} \)
D. \( \frac{1}{2} g t_{1} t_{2} \)
Subject: Maths
Two circles of radii \( 10 \mathrm{cm} \) and \( 8 \mathrm{cm} \)
intersect each other and the length of the common chord is 12 m. Then the
distance between their centres is
\( \mathbf{A} \cdot(10+2 \sqrt{7}) \mathrm{cm} \)
B. \( (8+2 \sqrt{7}) \mathrm{cm} \)
\( \mathbf{c} \cdot(12+2 \sqrt{7}) \mathrm{cm} \)
D \( \cdot(6+2 \sqrt{7}) \) ст
Subject: Physics
Given \( \boldsymbol{R}_{1}=\mathbf{5 . 0} \pm \mathbf{0 . 2} \mathbf{\Omega} \) and \( \boldsymbol{R}_{2}= \)
\( 10.0 \pm 0.1 \Omega . \) What is the total
resistance in parallel with possible \( \% \)
error?
Subject: Chemistry
A container contains three gases, \( \boldsymbol{A}, \boldsymbol{B} \) and \( C \) in equilibrium, \( A \rightleftharpoons 2 B+C \)
At equilibrium the concentration of \( \boldsymbol{A} \)
was \( 3 M \) and of \( B \) was \( 4 M . \) On doubling
the volume of container, the new
equilibrium concentration of \( \boldsymbol{B} \) was
\( 3 M . \) Calculate \( K_{C} \) of the reaction:
A . 28.8
B. 5.9
c. 0.14
D. 0.55
Subject: Physics
Wavelength of light used in an optical instrument are \( \lambda_{1}=4000 \hat{A} \) and \( \lambda_{2}= \) \( \mathbf{5 0 0 0} \boldsymbol{A} \) then ratio of their respective
resolving powers(corresponding to \( \lambda_{1} \)
and \( \lambda_{2} \) ) is
A. 16: 25
B. 9:
\( c \cdot 4: 5 \)
D. 5:
Subject: Maths
Prove that: \( \cos ^{2} \boldsymbol{\alpha}+\cos ^{2}(\boldsymbol{\alpha}+\boldsymbol{\beta})- \)
\( \boldsymbol{2} \cos \boldsymbol{\alpha} \cos \boldsymbol{\beta} \cos (\boldsymbol{\alpha}+\boldsymbol{\beta})=\sin ^{2} \boldsymbol{\beta} \)
Subject: Physics
A wire of length L and of cross-sectional area A is made of a material of Young's modulus Y. The work done in stretching the wire by an amount \( x \) is given by :
A \( \cdot \frac{Y A x^{2}}{L} \)
в. \( \frac{Y A x^{2}}{2 L} \)
c. \( \frac{Y A L^{2}}{x} \)
D. \( \frac{Y A L^{2}}{2 x} \)
Subject: Chemistry
In which of the following alcohols \( C-O \)
bond breaks (heterolytically) with the
greatest ease is:
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} O H \)
в. \( _{C H_{3}}^{\prime} \)
\( C H_{3}-C H-O H \)
c.
\[
C H_{3}-C_{\}^{C H_{3}}
\]
\( _{C H_{3}} \)
D. \( \quad C_{3} \)
\[
C H_{3}-C_{-} C H_{2}-O H
\]
Subject: Maths
If the lines \( 2 x+3 y+1=0 \) and \( 3 x- \)
\( \mathbf{y}-\mathbf{4}=\mathbf{0} \) lie along diameters of a circle
of circumference \( 10 \pi, \) then the
equation of the circle is:
A \( \cdot x^{2}+y^{2}-2 x+2 y-23=0 \)
B. \( x^{2}+y^{2}-2 x-2 y-23=0 \)
C. \( x^{2}+y^{2}+2 x+2 y-23=0 \)
D. \( x^{2}+y^{2}+2 x-2 y-23=0 \)
Subject: Maths
Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial
(i) \( t^{2}-3,2 t^{4}+3 t^{3}-2 t^{2}-9 t-12 \)
(ii) \( x^{2}+3 x+1,3 x^{4}+5 x^{3}-7 x^{2}+ \)
\( 2 x+2 \)
(iii) \( x^{3}-3 x+1, x^{5}-4 x^{3}+x^{2}+3 x+ \)
\( \mathbf{1} \)
Subject: Chemistry
Which of the statements are correct?
This question has multiple correct options
\( \mathbf{A} \cdot B e_{2} C+H_{2} O \rightarrow \) Marsh gas
B. \( A l_{4} C_{3}+H_{2} O \rightarrow \) Gas is a content of CNG
\( \mathbf{C} \cdot C a C_{2}+H_{2} \rightarrow \) Gas is used for welding purpose with
\( O_{2} \) gas
D. \( C a_{3} P_{2}+H_{2} O \rightarrow \) Gas is used in Holme signals with
\( \mathrm{CaC}_{2} \)
Subject: Physics
Two lamps, one rates \( 100 \mathrm{W} ; 220 \mathrm{V} \), and
the other \( 60 \mathrm{W} ; 220 \mathrm{V} \) are connected in parallel to electric mains supply. Find the current drawn by two bulbs from the line, if the supply voltage is \( 220 \mathrm{V} \)
Subject: Physics
Assertion
\( \mathbf{A} \)
p-njunction with reverse bias can be used as a photo-diode to measure light intensity.
Reason
In a reverse bias condition the current
is small but is more sensitive to
changes in incident light intensity.
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 are correct
Subject: Maths
\( \lim _{\boldsymbol{x} \rightarrow \infty} \sum_{\boldsymbol{r}=1}^{\boldsymbol{n}} \tan ^{-1}\left(\frac{2 r}{1-\boldsymbol{r}^{2}+\boldsymbol{r}^{4}}\right) \) is equal to
\( \mathbf{A} \cdot \pi / 4 \)
B. \( \pi / 2 \)
\( c \cdot \frac{3 \pi}{4} \)
D. None of these
Subject: Chemistry
Two elements 'P' and 'Q' combine to form
a compound. Atomic mass of 'P' is 12 and 'Q' is 16. Percentage of 'P' in the
compound is 27.3. What will be the empirical formula of the compound?
A \( \cdot P_{2} Q_{2} \)
B. PQ
\( c \cdot P_{2} Q \)
D. \( P Q_{2} \)
Subject: Maths
For the discontinuous function given
below, find the value of \( \boldsymbol{f}(-\mathbf{3}) \) \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\boldsymbol{x}^{2}+\mathbf{1}, & \boldsymbol{i f} \quad \boldsymbol{x}<\mathbf{0} \\ \frac{\boldsymbol{2} \boldsymbol{x}}{\mathbf{3}}-\mathbf{1}, & \boldsymbol{i f} \quad \boldsymbol{0}<\boldsymbol{x}<\mathbf{3} \\ \boldsymbol{4}-\boldsymbol{x}, & \boldsymbol{i f} \quad \boldsymbol{x}>3\end{array}\right. \)
\( A \cdot-3 \)
B.
\( c \cdot 10 \)
D. - 3, 7, and 10
Subject: Chemistry
Find the number of chloride(s) which do not impart color to the flame from the
following:
\( \boldsymbol{B} \boldsymbol{e} \boldsymbol{C l}_{2}, \boldsymbol{S r} \boldsymbol{C l}_{2}, \boldsymbol{M} \boldsymbol{g} \boldsymbol{C l}_{2}, \boldsymbol{C a C l}_{2}, \boldsymbol{B a C l}_{2} \)
Subject: Biology
Given are some of the stages of the hydrarch.
A. Marsh-meadow stage
B. Reed-swamp stage
C. Submerged plant stage
D. Phytoplankton stage
E. Free floating plant stage
Select the option that represents the correct sequence of these stages.
\( A \cdot D \rightarrow C \rightarrow E \rightarrow B \rightarrow A \)
B \( \cdot \mathrm{C} \rightarrow \mathrm{E} \rightarrow \mathrm{A} \rightarrow \mathrm{B} \rightarrow \) D
\( c \cdot B \rightarrow D \rightarrow C \rightarrow A \rightarrow E \)
D. D \( \rightarrow E \rightarrow C \rightarrow B \rightarrow A \)
Subject: Physics
Two charges \( +20 \mu C \) and \( -20 \mu C \) are
placed \( 10 m m \) apart. The electric field at
point \( P, \) on the axis of the dipole \( 10 \mathrm{cm} \) away from its centre \( \boldsymbol{O} \) on the side of
the positive charge is
\( \mathbf{A} \cdot 8.6 \times 10^{9} N \quad C^{-1} \)
B . \( 4.1 \times 10^{6} N \quad C^{-1} \)
C \( .3 .6 \times 10^{6} N^{-1} \)
D . \( 4.6 \times 10^{5} N \quad C^{-1} \)
Subject: Chemistry
Which of the following statements is
false?
A. Two different solutions of sucrose of same molality prepared in different solvents will have the same depression in freezing point.
B. The osmotic pressure of a solution is given by the equation \( \pi=C R T \) (where \( C \) is the molarity of the
solution)
C. Decreasing order of osmotic pressure for \( 0.01 M \) aqueous solutions of barium chloride, potassium chloride, acetic acid and sucrose is \( B a C l_{2}>K C l> \)
\( C H_{3} C O O H> \) sucrose
D. According to Raout's law the vapour pressure exerted by a volatile component of a solution is directly proportional to its mole fraction in the solution
Subject: Maths
If \( \boldsymbol{a}_{\mathbf{1}} \in \boldsymbol{R}-\{\mathbf{0}\}, \boldsymbol{i}=\mathbf{1}, \mathbf{2}, \mathbf{3}, \boldsymbol{4} \) and \( \boldsymbol{x} \in \boldsymbol{R} \)
and \( \left(\sum_{i=1}^{3} a_{i}^{2}\right) x^{2}- \)
\( \mathbf{2} \boldsymbol{x}\left(\sum_{i=1}^{3} \boldsymbol{a}_{i} \boldsymbol{a}_{i+1}\right)+\sum_{i=2}^{4} \boldsymbol{a}_{i}^{2} \leq \mathbf{0}, \) then
\( a_{1}, a_{2}, a_{3}, a_{4} \) are in
A . A.
в. G.
c. н.
D. A.G.
Subject: Physics
A sphere of radius \( \mathrm{R} \) has a uniform
volume charge density \( \rho . \) The
magnitude of electric field at a distance
from the centre of the sphere, where
\( \boldsymbol{r}>\boldsymbol{R}, \) is?
A \( \cdot \frac{\rho}{4 \pi \varepsilon_{0} r^{2}} \)
B. \( \frac{\rho R^{2}}{\varepsilon_{0} r^{2}} \)
C \( \cdot \frac{\rho R^{3}}{\varepsilon_{0} r^{2}} \)
D \( \cdot \frac{\rho R^{3}}{3 \varepsilon_{0} r^{2}} \)
E \( \cdot \frac{\rho R^{2}}{4 \varepsilon_{0} r^{2}} \)
Subject: Physics
The value of the resistance \( R \) in figure
is adjusted such that power dissipated
in the \( 2 \Omega \) resistor is maximum. Under
this condition
This question has multiple correct options
A \( . R=0 \)
в. \( R=8 \Omega \)
c. power dissipated in the \( 2 \Omega \) resistor is \( 72 ~ W \)
D. power dissipated in the \( 2 \Omega \) resistor is \( 8 W \)
Subject: Maths
f \( f(x)= \) \( \left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{2} \boldsymbol{x} & \boldsymbol{x}-\mathbf{1} & \boldsymbol{x} \\ \mathbf{3} \boldsymbol{x}(\boldsymbol{x}-\mathbf{1}) & (\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}-\mathbf{2}) & \boldsymbol{x}(\boldsymbol{x}-\mathbf{1})\end{array}\right| \)
then \( \boldsymbol{f}(\mathbf{5 0})= \)
4.0
B. 2
\( c_{1} \)
\( D \)
\( E \)
Subject: Chemistry
Compound (C) is
Solid \( (\mathrm{B}) \)
Contains \( 67.8 \% \) of \( \mathrm{Br} \) )
One mono \( \ll \) Nitration
nitro compound
in. Compound (C) [Isomer of (A)] Compound (D)
(Contains \( 76,4 \% \) of \( B \) f)
\[
\begin{array}{l}
\text { One mono } \leftarrow \text { Nitration } \\
\text { nitro compound }
\end{array}
\]
Subject: Maths
The plane \( \frac{x}{2}+\frac{y}{3}+\frac{z}{1}=1 \) meets the co
ordinate axes in the points \( \boldsymbol{A}, \boldsymbol{B}, \boldsymbol{C} \)
respectively. The area of triangle \( \boldsymbol{A B C} \)
in square units is :
A \( \cdot \frac{5}{2} \)
B. \( \frac{7}{2} \)
\( c \cdot \frac{9}{2} \)
D. None of these
Subject: Maths
The diameter of a circle whose area is
equal to the sum of the areas of the two
circles of radii \( 24 \mathrm{cm} \) and \( 7 \mathrm{cm} \) is
\( \mathbf{A} \cdot 31 \mathrm{cm} \)
B. \( 25 \mathrm{cm} \)
\( c \cdot 62 \mathrm{cm} \)
D. \( 50 \mathrm{cm} \)
Subject: Chemistry
The mixed anhydride of nitrogen is:
A. \( N_{2} O_{2}(2 N O) \)
в. \( N_{2} O_{4}\left(2 N O_{2}\right) \)
\( \mathrm{c} \cdot \mathrm{N}_{2} \mathrm{O}_{5} \)
D. \( N_{2} O_{2} \)
Subject: Chemistry
A certain radioactive isotope decay has \( \alpha \) -emission, \( A_{1} X \longrightarrow A_{1}-4 \)
\( Z_{1} \)
half life of \( \boldsymbol{X} \) is 10 days. If 1 mol of \( \boldsymbol{X} \) is taken initially in a sealed container, then what volume of helium will be
collected at STP after 20 days?
A \( .22 .4 L \)
B. \( 11.2 L \)
c. \( 16.8 L \)
D. \( 33.6 L \)
Subject: Maths
If the quotient on dividing \( 2 x^{4}+x^{3}- \)
\( 14 x^{2}-19 x+6 \) by \( 2 x+1 \) is \( x^{3}+ \)
\( a x^{2}-b x-6 \)
Find the values of a and \( b \), also the remainder
Subject: Physics
A wire is cut in to 4 pieces, which are put together by sides to obtain one conductor. If the original resistance of
wire was \( R, \) the resistance of the bundle
will be:
A \( \cdot \frac{R}{4} \)
в. \( \frac{R}{8} \)
c. \( \frac{R}{16} \)
D. \( \frac{R}{32} \)
Subject: Physics
A particle of mass \( 0.5 k g \) travels in a straight line with velocity \( \boldsymbol{v}=\boldsymbol{a} \boldsymbol{x}^{3 / 2} \)
where \( a=5 m^{-1 / 2} s^{-1} . \) What is the work
done by the net force during its displacement from \( \boldsymbol{x}=\mathbf{0} \) to \( \boldsymbol{x}=\mathbf{2 m} ? \)
Subject: Maths
A stone is dropped into a quiet lake. If
the waves moves in circle at the rate of
\( 30 \mathrm{cm} / \mathrm{sec} \) when the radius is \( 50 \mathrm{m} \), the
rate of increase of enclosed area is
A \( .30 \pi m^{2} / \) sec
B. \( 30 m^{2} / \)sec
c. \( 3 \pi m^{2} / \)sec
D. none of these
Subject: Physics
\( s_{1} \) and \( s_{1} \) are two sources of sound
emitting sine waves. The two sporces
are in phase. The source emittied by the two sources interfere at point F. The
waves of wavelength:
A . \( 1 \mathrm{m} \) will result in constructive interference
B . \( \frac{2}{3} m \) will result in constructive interference
c. \( 2 \mathrm{m} \) will result in destructive interference
D. \( 4 \mathrm{m} \) will result in destructive interference
Subject: Maths
Solve \( : \log _{\frac{x^{2}-6 x}{10}}(\sin 3 x+\sin x)= \)
\( \log _{\frac{x^{2}-6 x}{10}}(\sin 2 x) \)
A. \( _{x=\frac{5 \pi}{3}} \)
в. \( x=-\frac{5 \pi}{3} \)
c. \( x=-\frac{2 \pi}{3} \)
D. \( x=-\frac{4 \pi}{3} \)
Subject: Chemistry
What will be the ionisation constant of
formic acid if its \( 0.01 \mathrm{M} \) solution is
\( 14.5 \% \) ionised?
A \( \cdot 2.1 \times 10^{-4} \)
в. 14.5
c. 0.145
D. \( 1.45 \times 10^{-4} \)
Subject: Maths
If \( A \) and \( B \) are independent events of \( a \) random experiment such that \( P(A \cap B)=\frac{1}{6} \) and \( P(\bar{A} \cap \bar{B})=\frac{1}{3} \)
then \( \boldsymbol{P}(\boldsymbol{A})= \)
A \( \cdot \frac{1}{4}, \frac{1}{3} \)
B. \( \frac{1}{2}, \frac{1}{3} \)
c. \( \frac{1}{2}, \frac{1}{5} \)
D. \( \frac{2}{3}, \frac{1}{5} \)
Subject: Chemistry
Find the number of ion(s) which are
having ionizable hydrogen from the following:
\( \boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{2}^{-}, \boldsymbol{H} \boldsymbol{P} \boldsymbol{O}_{3}^{2-}, \boldsymbol{H}_{2} \boldsymbol{P}_{2} \boldsymbol{O}_{7}^{2-} \)
Subject: Physics
What is the distance of geo-stationary satellites from the Earth?
\( \mathbf{A} \cdot 37,956 \mathrm{km} \)
B. \( 35,786 \mathrm{km} \)
c. \( 43,000 \mathrm{km} \)
D. \( 23,123 \mathrm{km} \)
Subject: Physics
A uniform meter rule is pivoted at its mid-point. A weight of 50gf suspended
at one end of it. Where should a weight
of \( 100 g f \) be suspended to keep the rule horizontal:
A. At distance \( 50 \mathrm{cm} \) from the pivoted end.
B. At distance \( 12.5 \mathrm{cm} \) from the other end
c. At distance \( 37.5 \mathrm{cm} \) from the other end.
D. At distance \( 25 \mathrm{cm} \) from the pivoted end.
Subject: Physics
The moment of inertia of a non-
uniform semicircular wire having mass \( \mathrm{m} \) and radius \( \mathrm{r} \) about a line
perpendicular to the plane of the wire through the center is
\( \mathbf{A} \cdot m r^{2} \)
в. \( \frac{1}{2} m r^{2} \)
c. \( \frac{1}{4} m r^{2} \)
D. \( \frac{2^{2}}{5} \)
Subject: Physics
The temperatures of two bodies
measured by a thermometer are \( t_{1}= \)
\( \mathbf{2 0}^{o} \boldsymbol{C} \pm \mathbf{0 . 5}^{o} \boldsymbol{C} \) and \( \boldsymbol{t}_{2}=\mathbf{5 0}^{o} \boldsymbol{C} \pm \)
\( 0.5^{\circ} \mathrm{C} . \) The temperature difference and
the error there is
\( \mathbf{A} \cdot 30^{\circ} C \pm 1^{\circ} C \)
B \( \cdot 70^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 30^{\circ} C \pm 0.5^{\circ} \mathrm{C} \)
D. \( 70^{\circ} \mathrm{C} \pm 1^{\circ} \mathrm{C} \)
Subject: Maths
Semicircles are drawn outside by taking every side of regular hexagon as a diameter. The perimeter of hexagon is \( 60 \mathrm{cm} . \) Find the area of complete figure formed as such. \( (\pi=3.14)(\sqrt{3}=1.73) \)
A \( .495 \mathrm{cm}^{2} \)
B. 259.5cm \( ^{2} \)
c. \( 235.5 \mathrm{cm}^{2} \)
D. \( 695.5 \mathrm{cm}^{2} \)
Subject: Maths
The sum of 7 terms of the series \( 1^{2}- \)
\( \mathbf{2}^{2}+\mathbf{3}^{2}-\mathbf{4}^{2}+\mathbf{5}^{2}-\mathbf{6}^{2}+\dots \) is
A . -21
B. 15
c. 28
D. -35
Subject: Chemistry
For a dilute solution containing \( 2.5 g m \) of a non-volatile non-electrolyte solute in \( 100 g m \) of water, the elevation in boiling point at 1 atm pressure is \( 2^{\circ} C \) Assuming concentration of solute is much lower than the concentration of
solvent, the vapour pressure (mm of \( \boldsymbol{H} \boldsymbol{g} \)
of the solution is \( \left(\boldsymbol{K}_{\boldsymbol{b}}=\right. \)
\( \left.0.76 K k g m o l^{-1}\right) \)
A .724
в. 740
\( c .736 \)
D. 718
Subject: Chemistry
Assertion
The number of significant figures in 507000 is three.
Reason
In \( 507000, \) all the zeros are significant.
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
The reaction used to prepare \( N a O H \)
from \( C a(O H)_{2} \) in earlier days is:
\( N a_{2} C O_{3}+C a(O H)_{2} \rightarrow 2 N a O H+ \)
\( \boldsymbol{C a C O}_{3} \downarrow \)
If true enter 1 , else enter 0 .
Subject: Physics
A disc of mass \( 100 g \) and radius \( 10 \mathrm{cm} \) has a projection on its circumference. The mass of projection is negligible. A \( 20 g \) bit of putty moving tangential to
the disc with a velocity of \( 5 m s^{-1} \) strikes the projection and sticks to it. The angular velocity of disc is
A \( \cdot 14.29 \) rad \( s_{1} \)
B. 17.3 rad \( s_{-1} \)
c. 12.4 rad \( s_{-1} \)
D. 9.82 rad \( s_{1} \)
Subject: Chemistry
Due to hectic and busy schedule, Mr. Angad made his life full of tensions
and anxiety. He started taking sleeping pills to overcome the depression without consulting the doctor. Mr. Deepak, a close friend of Mr. Angad advised him to stop taking sleeping pills and suggested to change his life lifestyle by doing yoga, meditation and some physical exercise. Mr. Angad followed his friends advice and after few
days he started feeling better. After reading the above passage, answer the following.
(i) What are the values (at least two)
displayed by Mr. Deepak?
(ii) Why is it not advisable to take
sleeping pills without consulting doctor?
(iii) What are tranquilisers? Give two examples.
Subject: Chemistry
Assertion
When an electric current is passed through an aqueous solution of sodium chloride, sodium ions move towards cathode and chloride ions move towards
anode.
Reason
Cathode is a negatively charged electrode and therefore attracts \( \mathrm{Na}^{+} \)
ions. Anode is a positively charged
electrode and therefore attracts \( \mathrm{Cl}^{-} \)
ions.
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: Physics
A conducting loop rotates with constant
angular velocity about its fixed
diameter in a uniform magnetic field,
whose direction is perpendicular to that
fixed diameter
This question has multiple correct options
A. The emf will be maximum at the moment when flux is
zero
B. The emf will be 0 at the moment when flux is maximum
C. The emf will be maximum at the moment when plane of the loop is parallel to the magnetic field
D. The phase difference between the flux and the emf is \( \pi / 2 \)
E . answer required
Subject: Maths
If \( \lim _{x \rightarrow 0}\left(\frac{\cos 4 x+a \cos 2 x+b}{x^{4}}\right) \) is finite
then the value of \( a, b \) respectively are
\( \mathbf{A} \cdot 5-4 \)
в. -5,-4
c. -4,3
D. 4,5
Subject: Chemistry
What are the products of the following reaction? \( \boldsymbol{C a} \boldsymbol{C O}_{3} \stackrel{\boldsymbol{\Delta}}{\longrightarrow} \)
A. \( C O+C O_{2} \)
в. \( C a O+C O \)
c. \( C O_{2}+C a_{2} O \)
D. \( C O_{2}+C a O \)
Subject: Maths
In \( \Delta A B C, \angle A=43^{\circ} \) and \( \angle C=70^{\circ} \)
What is the measure of \( \angle B ? \)
\( \mathbf{A} \cdot 63^{\circ} \)
B. \( 65^{\circ} \)
\( c \cdot 66^{\circ} \)
D. \( 67^{\circ} \)
Subject: Chemistry
Why is ferric hydroxide colloid positively charged when prepared by adding ferric chloride to hot water?
A. Due to precipitation of ferric hydroxide there is an excess of \( F e^{3+} \) ions.
B. Due to preferential adsorption of \( F e^{3+} \) ions by the sol of \( F e(O H)_{3} \)
c. Due to absence of any negatively charged ion.
D. Due to adsorption of \( O H^{-} \) and \( C I^{I} \) ions, the remaining sol has only \( F e^{3+} \) ions
Subject: Maths
The area enclosed between the
parabolas \( \boldsymbol{y}^{2}=\mathbf{1 6} \boldsymbol{x} \) and \( \boldsymbol{x}^{2}=\mathbf{1 6} \boldsymbol{y} \) is
A \( \cdot \frac{64}{3} \) sq.units
в. \( \frac{256}{3} \) sq.units
c. \( \frac{16}{3} \) sq.units
D. None of these
Subject: Biology
Which one is the correct food chain?
A. Eagle \( \rightarrow \) Snake \( \rightarrow \) Grasshopper \( \rightarrow \) Grass \( \rightarrow \) Frog
B. Frog \( \rightarrow \) Snake \( \rightarrow \) Eagle \( \rightarrow \) Grasshopper \( \rightarrow \) Grass
C. Grasshopper \( \rightarrow \) Grass \( \rightarrow \) Snake \( \rightarrow \) Frog \( \rightarrow \) Eagle
D. Grass \( \rightarrow \) Grasshopper \( \rightarrow \) Frog \( \rightarrow \) Snake \( \rightarrow \) Eagle
Subject: Maths
\( A B C D \) is a parallelogram and \( B P C \) is a triangle with \( P \) falling on \( A D . \) If the
area of parallelogram \( A B C D=26 \mathrm{cm}^{2} \)
find the area of triangle \( \boldsymbol{B} \boldsymbol{P} \boldsymbol{C} \)
Subject: Maths
Assertion
\( \boldsymbol{A}=\left[\begin{array}{lll}\mathbf{4} & \mathbf{0} & \mathbf{4} \\ \mathbf{2} & \mathbf{3} & \mathbf{2} \\ \mathbf{1} & \mathbf{2} & \mathbf{1}\end{array}\right], \mathbf{B}^{-\mathbf{1}}=\left[\begin{array}{lll}\mathbf{1} & \mathbf{3} & \mathbf{3} \\ \mathbf{1} & \mathbf{4} & \mathbf{3} \\ \mathbf{1} & \mathbf{3} & \mathbf{4}\end{array}\right] \)
Then \( (A B)^{-1} \) does not exist.
Reason
since \( |\boldsymbol{A}|=\mathbf{0},(\boldsymbol{A B})^{-1}=\boldsymbol{B}^{-1} \boldsymbol{A}^{-1} \) is
meaningless.
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: Physics
Object Convex Convex Image Pin \( \quad \) Lens \( \quad \) Mirror \( \quad \mathrm{P} \)
22.2 \( 32.2 \mathrm{cm} \)
\( 45.8 \mathrm{cm} \)
To find the focal length of a convex mirror, a student records the following
data:

The focal length of the convex lens is \( \boldsymbol{f}_{1} \)
and that of mirror is \( f_{2} \). Then taking
index correction to be negligibly small,
\( \boldsymbol{f}_{1} \) and \( \boldsymbol{f}_{2} \) are close to :
\( \mathbf{A} \cdot f_{1}=7.8 \mathrm{cm} \quad f_{2}=12.7 \mathrm{cm} \)
B \( \cdot f_{1}=12.7 \mathrm{cm} \quad f_{2}=7.8 \mathrm{cm} \)
\( \mathbf{c} \cdot f_{1}=7.8 \mathrm{cm} \quad f_{2}=25.4 \mathrm{cm} \)
D. \( f_{1}=15.6 \mathrm{cm} \quad f_{2}=25.4 \mathrm{cm} \)
Subject: Physics
Determine the separation between 1st and 2 nd dark fringes from the left end air cavity.
A \( \cdot \frac{3 L}{7}+\frac{2 \lambda_{0}}{\mu} \)
B. \( \frac{5 L}{7} \)
c. \( \frac{4 L}{7} \)
D. \( \frac{6 L}{7} \)
Subject: Biology
Match the column.
\( \begin{array}{ll}\text { Substrate } & \text { Enzyme } \\ \text { (A) Ribonucleotide } & \text { (i) Chitinase } \\ \text { (B) Chitin } & \text { (ii) Cellulase } \\ \text { (C) Cellulose } & \text { (iii) Ribonuclease }\end{array} \)
A . A-i, B-ii, C-iii
B. A-iii, B-i, C-ii
C . A-iii, B-ii, C-i
D. A-ii, B-ii, C-iii
Subject: Biology
Column-1 Column-2
P) Opening of the leaf blade
¡) Epinasty
Q) Closing of leaves
ii)hyponasty
R) zigzag movement in the
iii) nutation apical bud
S) spiral and helical growth \( \quad \) iv)circumnutation of tendrilar plants
of
T) pulsation in leaflets
v) variation Indian telegraph plant
\( A \cdot(P-i)(Q-i i)(R-i i i)(S-i v)(T-v) \)
B. (P-v) (Q-iv) (R-iii) (S-ii) (T-i)
C \( .(P-v)(Q-i)(R-i v)(S-i i i)(T-i i) \)
D. (P-v) (Q-i) (R-iv) (S-II) (T-iii)