AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
If \( \bar{a}=\hat{i}-\hat{j}+\hat{k} \) and \( \bar{b}=2 \hat{i}-\hat{j}+3 \hat{k} \)
then the unit vector along \( \bar{a}+\bar{b} \) is
A \( \cdot \frac{3 \hat{i}+4 \hat{k}}{5} \)
B. \( \frac{-3 \hat{i}+4 \hat{k}}{5} \)
c. \( \frac{-3 \hat{i}-4 \hat{k}}{5} \)
D. none of these
Subject: Chemistry
What is common between given cations
and anions :
\( \boldsymbol{O}^{2-}, \boldsymbol{F}^{-}, \boldsymbol{N} \boldsymbol{a}^{+}, \boldsymbol{M} \boldsymbol{g}^{2+}, \boldsymbol{A} \boldsymbol{l}^{3+} ? \)
A. All have same ionic radii
B. All are isoelectronic species having 10 electrons
c. All of them belong to the third period
D. The nature of oxides of all the ions is basic
Subject: Chemistry
Which one of the following pairs of compounds illustrate the law of multiple proportions?
A. \( H_{2} O \) and \( N a_{2} O \)
B. \( M g O \) and \( N a_{2} O \)
c. \( N a_{2} O \) and \( B a O \)
D. \( \operatorname{SnCl}_{2} \) and \( \operatorname{SnCl}_{4} \)
Subject: Maths
Let \( P(n): a^{n}+b^{n} \) such that \( a, b \) are
even, then \( p(n) \) will be divisible by \( a+b \)
if
\( \mathbf{A} \cdot n>1 \)
B. \( n \) is odd
\( \mathbf{c} \cdot n \) is even
D. none of these
Subject: Maths
In a maths paper there are 3 sections
\( A, B \) and \( C . \) Section \( A \) is compulsory.
Out of sections \( B \) and \( C \) a student has
to attempt any one. Passing in the paper means passing in \( A \) and passing in \( B \) or \( C . \) The probability of the student
passing in \( A, B \) and \( C \) are \( p, q \) and \( 1 / 2 \) respectively. If the probability that the student is successful is \( 1 / 2 \) then
A. \( p=q=1 \)
в. \( p=q=1 / 2 \)
c. \( p=1, q=0 \)
D. \( p=1, q=1 / 2 \)
Subject: Physics
A bird of mass \( 1.23 \mathrm{kg} \) is able to hover by imparting a downward velocity of 10
\( \mathrm{m} / \mathrm{s} \) uniformly to air of density 'p' \( \mathrm{kg} / \mathrm{m}^{3} \)
over an effective area \( 0.1 m^{2} . \) The
acceleration due to gravity is \( 10 \mathrm{m} / \mathrm{s}^{2} \)
Then the magnitude of 'p' in \( \mathrm{kg} / m^{3} \)
A . 0.34
B. 0.89
c. 1.23
D. 4.8
Subject: Physics
A compound microscope has an objective of focal length \( 2 \mathrm{cm} \) and an eye-piece of focal length \( 6.25 \mathrm{cm}, \) which are separated by 15 cm.fr the final image is formed at the least distance of distinct vision \( 25 \mathrm{cm}, \) distance to the object from the objective is
A. \( 20 \mathrm{cm} \)
B. 8.75 cm
\( c .1 .50 \mathrm{cm} \)
D. 2.5 \( \mathrm{cm} \)
Subject: Physics
A particle is moving eastward with a velocity \( 5 m s^{-1} . \) In \( 10 s \) the velocity
changes to \( 5 m s^{-1} \) northwards. The
average acceleration in this time is:
A \( \cdot \frac{1}{\sqrt{2}} m s^{-2} \) towards North - west
B. \( \frac{1}{2} m s^{-2} \) towards North - west
c. \( \frac{1}{\sqrt{2}} m s^{-2} \) towards North - East
D \( \cdot \frac{1}{2} m s^{-2} \) towards North - East
Subject: Maths
For which value of \( a \) and \( b, \lim _{x \rightarrow 0} \frac{\sin 2 x}{x^{3}}+ \)
\( \boldsymbol{a}+\frac{\boldsymbol{b}}{\boldsymbol{x}^{2}}=\mathbf{0} \)
A \( \quad b=-2 \) and \( a=\frac{4}{3} \)
B. \( b=2 \) and \( a=\frac{4}{3} \)
c. \( _{b}=-2 \) and \( a=\frac{-4}{3} \)
D. None of these
Subject: Chemistry
Which of the following alcohols will dehydrate most rapidly when treated
with conc. \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} ? \)
\( \mathbf{A} \cdot C H_{3} C H(O H) C\left(C H_{3}\right) \)
в. \( C H_{3} C\left(C H_{3}\right)(O H) C H\left(C H_{3}\right)_{2} \)
c. \( \left(C H_{3}\right)_{2} C H C H(O H) C H_{3} \)
D. \( C H_{3} C H_{2} C H_{2} C H_{2} O H \)
Subject: Maths
If \( 4 x^{4}-12 x^{3}+x^{2}+3 a x-b \) is divided
by \( x^{2}-1 \) then \( a=-1 \)
\( b= \)
\( \mathbf{A} \cdot 5,4 \)
в. 4,9
\( c \cdot 4,5 \)
D. 1,-1
Subject: Chemistry
The phosphorus present in an organic compound of mass \( 0.2 \mathrm{g} \) is oxidized to phosphoric acid by heating with fuming nitric acid. The phosphoric acid so obtained is precipitated as
\( M g N H_{4} P O_{4}, \) which on ignition is
converted into \( M g_{2} P_{2} O_{7} \). If the mass of
\( M g_{2} P_{2} O_{7} \) is \( 0.1 \mathrm{g} \), the percentage composition of phosphorus present in the sample of the organic compound is:
A . 12.96
в. 13.96
\( c \cdot 14.96 \)
D. 11.96
Subject: Chemistry
The equilibrium constant for \( \boldsymbol{A}(\boldsymbol{g})+ \)
\( B_{2}(g) \rightleftharpoons A B_{2}(g) \) is \( k_{p}=100 a t 522 K \)
Structure of \( A B_{2} \) is like \( H_{2} O . \) If bond
energy of \( A-B \) bond is \( 200 \mathrm{kJ} / \mathrm{mol} \) and
that of \( B-B \) bond is \( 100 \mathrm{kJ} / \mathrm{mol} \), then
\( \Delta S^{o} \) of the above reaction is:
A . -0.53 J/mol-K
B . - -536 J/mol-K
c. - -550 J/mol-K
D. - -5.36 J/mol-K
Subject: Maths
Vector \( C \) is the sum of two vectors \( A \)
and \( B \) and vector \( D \) is the cross product
of vectors \( A \) and \( B . \) What is the angle
between vectors \( C \) and \( D ? \)
A. zero
B. \( 60^{\circ} \)
\( c \cdot 90^{\circ} \)
D. \( 180^{\circ} \)
Subject: Maths
If \( y=\ln \sqrt{\frac{1-\sin x}{1+\sin x}} \) then \( \frac{d y}{d x} \) equals-
\( A \cdot \sec x \)
B. - sec \( x \)
\( c \cdot \csc x \)
\( \mathbf{D} \cdot \sec x \tan x \)
Subject: Physics
A plot of the kinetic energy \( \left(1 / 2 m v^{2}\right) \) of
ejected electrons as a function of the frequency (v) of incident radiation for
four alkali metals \( \left(M_{1}, M_{2}, M_{3}, M_{4}\right) \) is
shown below:

The alkali metals \( M_{1}, M_{2}, M_{3} \) and \( M_{4} \)
are respectively
A . Li, Na, K and Rb
B. Rb, K, Na and Li
C. Na, K, Li and Rb
D. Rb, Li, Na and K
Subject: Chemistry
The osmotic pressure of equimolar
solutions of urea, \( B a C l_{2} \) and \( A l C l_{3} \) will
be in the order of:
A \( \cdot A l C l_{3}>U r e a>B a C l_{2} \)
в. Urea\( >B a C l_{2}> \)АlСl\( _{3} \)
c. \( A l C l_{3}>B a C l_{2}>U r e a \)
D. \( B a C l_{2}>A l C l_{3}>U r e a \)
Subject: Physics
To get an output \( Y=1 \) in given circuit
which of the following input will be
correct.
\( \mathbf{A} \cdot A=1 ; B=0 ; C=1 \)
В. \( A=1 ; B=1 ; C=0 \)
c. \( A=0 ; B=1 ; C=0 \)
D. \( A=1 ; B=0 ; C=0 \)
Subject: Chemistry
0.6 ml of glacial acetic acid with density \( 1.06 g / m l \) is dissolved in \( 1 k g \) water and the solution froze at
\( -0.0205^{\circ} \mathrm{C} . \) Calculate van't Hoff factor:
\( \boldsymbol{K}_{f} \) for water is \( 1.86 \boldsymbol{K} \boldsymbol{k g} \boldsymbol{m o l}^{-1} \)
Subject: Chemistry
Identify the options in which increase in rate of reaction will be maximum:
(1) \( E_{a}=40 \) Id/mole Temperature change
300 to \( 310 \mathrm{K} \)
(II) \( E_{a}=80 \mathrm{kJ} / \mathrm{mole} \) Temperature change
200 to \( 210 \mathrm{K} \)
(III) \( E_{a}=60 \) Id/mole Temperature
change 400 to \( 410 \mathrm{K} \)
A . I
B.
\( c . \) ॥
D. All four will experience same change
Subject: Maths
If in a G.P., 5th term and the 12th term are 9 and \( \frac{1}{243} \) respectively, find the 9 th term of G.P.
A \( \cdot \frac{1}{7} \)
B. \( \frac{1}{8} \)
\( c \cdot \frac{1}{9} \)
D. \( \frac{1}{81} \)
Subject: Physics
A vertical rod of length \( l \) is moved with
constant velocity \( v \) towards east. The
vertical component of earth's magnetic
field is \( \mathrm{B} \) and angle of dip is \( \theta . \) The induced e.m.f. in rod is:
A. \( B l v \cot \theta \)
B. \( B l v \sin \theta \)
c. \( B l v \tan \theta \)
D. \( B l v \cos \theta \)
Subject: Maths
\( \left|\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{4}\end{array}\right|+\left|\begin{array}{cc}\boldsymbol{x} & \mathbf{3} \\ \boldsymbol{y} & \mathbf{1}\end{array}\right|=\left|\begin{array}{cc}\mathbf{1 0} & \mathbf{6} \\ \mathbf{8} & \mathbf{5}\end{array}\right|, \) then \( (\mathbf{x}, \mathbf{y})= \)
A \( \cdot(4,8) \)
\( B \cdot(8,4) \)
\( c \cdot(1,2) \)
\( D \cdot(2,4) \)
Subject: Maths
\( \int_{\log 1 / 2}^{\log 2} \sin \left(\frac{e^{x}-1}{e^{x}+1}\right) d x \) is equal to
A \( \cdot \cos \frac{1}{3} \)
B.
c. \( 2 \cos 2 \)
D. none of these
Subject: Maths
If functions \( \boldsymbol{f}(\boldsymbol{x}) \) and \( \boldsymbol{g}(\boldsymbol{x}) \) are defined
on \( R \rightarrow R \) such that
\[
\begin{aligned}
\boldsymbol{f}(\boldsymbol{x}) &=\boldsymbol{x}+\boldsymbol{3}, \boldsymbol{x} \in \text { rational } \\
&=\mathbf{4} \boldsymbol{x}, \boldsymbol{x} \in \text { irrational } \\
\boldsymbol{g}(\boldsymbol{x}) &=\boldsymbol{x}+\sqrt{\mathbf{5}}, \mathbf{x} \in \text { irrational } \\
&=-\boldsymbol{x}, \boldsymbol{x} \in \text { rational }
\end{aligned}
\]
then \( (\boldsymbol{f}-\boldsymbol{g})(\boldsymbol{x}) \) is
A. one-one \& onto
B. neither one-one nor onto
c. one-one but not onto
D. onto but not one-one
Subject: Biology
Choose the correct option about a - d.
A. a - eosinophil, b - - lymphocyte, c- neutrophil, d monocyte
B. a - erythrocyte, b - basophil, c- neutrophil, d ymphocyte
c. a - eosinophil, b - monocyte, c- neutrophil, dymphocyte
D. a - eosinophil, b - erythrocyte, c- neutrophil, dbasophi
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6}\}, \boldsymbol{B}=\{\mathbf{2}, \mathbf{4}, \mathbf{6}, \mathbf{8}\} \)
Find \( \boldsymbol{A}-\boldsymbol{B} \) and \( \boldsymbol{B}-\boldsymbol{A} \)
Subject: Chemistry
An aqueous solution of a substance molar mass 240 has osmotic pressure
\( 0.2 \mathrm{atm} \) at \( 300 \mathrm{K} \). The density of solution \( \operatorname{in} g \cdot d m^{3} \) is: \( (R= \)
\( \left.0.08 \text { litre atm } K^{-1} m o l^{-1}\right) \)
Subject: Chemistry
Atomic Radius is of the order \( 10^{-8} \mathrm{cm} \& \)
nucleus order of \( 10^{-13} \mathrm{cm} . \) Calculate
what fraction of atom is occupied by nucleus?
A \( \cdot 10^{-14} \times V_{\text {atom}} \)
B . \( 10^{-13} \times V_{\text {atom}} \)
c. \( 10^{-15} \times V_{\text {atom}} \)
D. \( 10^{-11} \times V_{\text {atom }} \)
Subject: Chemistry
Select the incorrect statement.
A. In metallurgy, flux is a substance used to convert infusible impurities to fusible mass.
B. Cryolite is \( N a_{3} A l F_{6} \) and is used in the electrolysis of alumina for lowering the melting point of alumina.
C. Extraction of iron metal from ores of iron oxides is
carried out by heating with coke.
D. The chemical composition of carnallite is \( K_{2} M g_{2}\left(S O_{4}\right)_{3} \)
Subject: Chemistry
Assertion
Phenolphthalein is used as indicator
during the titration of oxalic acid against sodium hydroxide.
Reason
The pH range of phenolphthalein is from
\( 8 \operatorname{tog} .6 \)
Choose the correct option.
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
Plots of \( E_{\text {cell}} \) with \( \log _{10} Q \) for the reaction, \( Z n(s)+C u^{2+}(a q .) \rightleftharpoons \)
\( \boldsymbol{C u}(\boldsymbol{s})+\boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{a q} .) \) gives a straight
line with an intercept \( 1.10 . \) If \( \boldsymbol{E}_{c e l l}= \) \( 1.1591 V \), then value of \( Q \), i.e. \( \frac{\left[Z n^{2+}\right]}{\left[C u^{2+}\right]} \) is:
A . 0.01
B. \( 0 . \)
c. 100
D. 10
Subject: Maths
A straight line drawn through the common focus \( \mathrm{S}^{\prime} \) of a number of conics
meets them in the points \( P_{1}, P_{2}, \ldots ; \) on
it is taken a point \( Q \) such that the reciprocal of \( \mathrm{SQ} \) is equal to the sum of
the reciprocals of \( S P_{1}, S P_{2}, \ldots \) Prove that the locus of \( Q \) is a conic section
whose focus is \( 0, \) and show that the reciprocal of its latus rectum is equal to
the sum of the reciprocals of the latera
recta of the given conics.
Subject: Physics
Out of the following functions representing motion of particle which
represents SHM?
\( x=\sin ^{3} \omega t \)
2. \( x=1+\omega t+\omega^{2} t^{2} \)
3. \( \boldsymbol{x}=\cos \omega \boldsymbol{t}+\cos \boldsymbol{3} \boldsymbol{\omega} \boldsymbol{t}+\boldsymbol{c} \boldsymbol{o} \boldsymbol{s} \boldsymbol{5} \boldsymbol{t} \)
4. \( x=\sin \omega t+\cos \omega t \)
A. Only 1
B. Only 1 and 3
c. only 1 and 4
D. only 4
Subject: Chemistry
Which of the following sets of examples and geometry of the compounds is not correct?
A . Octahedral - \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+},\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3} \)
B. Square planar - \( \left[N i(C N)_{4}\right]^{2-},\left[C u\left(N H_{3}\right)_{4}\right]^{2} \)
C. Tetrahedral- \( \left[N i(C O)_{4}\right],\left[Z n C l_{4}\right]^{2} \)
D. Trigonal bipyramidal - [Fe \( \left.\left(N H_{3}\right)_{6}\right]^{2+},\left[C u C l_{4}\right]^{2-} \)
Subject: Chemistry
Which of the reactants act as oxidant or
reductant if any:
\( 2 I^{-}+H_{2} O_{2} \rightarrow 2 O H^{-}+I_{2} \)
\( \mathbf{A} \cdot H_{2} O_{2} \)
B . \( I^{-} \)
c. Both of these
D. None of these
Subject: Maths
If \( y=\left[\log \log \sin x^{\circ}\right]^{7}, \) find \( \frac{d y}{d x} \)
A \( \cdot \frac{6 \pi}{180^{\circ}}\left[\log \left(\log \sin x^{\circ}\right)\right]^{7} \cdot \frac{\tan x^{\circ}}{\log \sin x^{\circ}} \)
в. \( \frac{7 \pi}{180^{\circ}}\left[\log \left(\log \sin x^{\circ}\right)\right]^{6} \cdot \frac{\cot x^{\circ}}{\log \sin x^{\circ}} \)
c. \( \frac{\pi}{30^{\circ}}\left[\log \left(\log \sin x^{\circ}\right)\right]^{7} \frac{\cot x^{\circ}}{\log \sin x^{\circ}} \)
D. none of these
Subject: Chemistry
For a process to be in equilibrium:
A. \( \Delta S_{\text {system}}+\Delta S_{S u r r}=0 \)
B. \( \Delta S_{\text {system}}=0 \)
c. \( \Delta S_{\text {system}}=\Delta S_{\text {Surr}} \)
D. \( \Delta S_{S u r r}=0 \)
Subject: Maths
The value of \( \frac{1}{4} x-5(q-x) \) \( -\frac{3}{2}\left(\frac{1}{3}\left(q-\frac{x}{3}\right)-\frac{2}{9}\left[x-\frac{3}{4}\left(q-\frac{4 x}{5}\right)\right]\right) \) is
A \( \cdot \frac{9 x}{5}+\frac{q}{2} \)
в. \( \frac{9 x}{4}-\frac{q}{2} \)
c. \( \frac{9 x}{5}-\frac{q}{2} \)
D. \( \frac{11 x}{5}+2 q \)
Subject: Physics
A biprism is placed at a distance of 50 \( \mathrm{mm} \) in front of a narrow slit illuminated by light of wavelength \( 600 \mathrm{nm} \). The virtual images formed by the biprism are \( 0.5 \mathrm{mm} \) apart. Find the width of the
fringes formed on a screen placed 0.75 \( \mathrm{m} \) apart in front of the biprism.
A. \( 0.96 \mathrm{cm} \)
B. \( 0.096 \mathrm{cm} \)
c. \( 0.0096 \mathrm{cm} \)
D. 9.6 \( \mathrm{cm} \)
Subject: Chemistry
An isotone of \( \mathrm{Ge}_{32}^{77} \) is:
i. \( \mathbf{G e}_{32}^{76} \)
ii. \( A \mathbf{s}_{33}^{78} \)
iii. \( \mathrm{Se}_{34}^{79} \)
¡v. \( \operatorname{Se}_{34}^{78} \)
A. only (i) and (ii)
B. only (ii) and (iii)
c. only (ii) and (iv)
D. (ii), (iii) and (iv)
Subject: Chemistry
Which of the following is laboratory preparation of dihydrogen?
A \( \cdot 3 F e+4 H_{2} O(\text {steam}) \rightarrow F e_{3} O_{4}+4 H_{2} \)
в. \( 2 N a+2 H_{2} O \rightarrow 2 N a O H+H_{2} \)
c. \( C a H_{2}+2 H_{2} O \rightarrow C a(O H)_{2}+2 H_{2} \)
D. \( Z n+H_{2} S O_{4}(d i l .) \rightarrow Z n S O_{4}+H_{2} \)
Subject: Physics
A block of mass \( 3 \mathrm{kg} \) is placed on the floor of coefficient of static friction is
0.4. The force of 3.5 N applied on the block. Calculate the force of friction and
discuss the motion of the body.
A. \( 3.5 \mathrm{N}, \) moves
B. 3.5 N, remains at rest
c. \( 11.76, \) moves
D. 11.76 N, it remains at rest
Subject: Chemistry
The final product of the following sequence of reaction is? \( \left(\boldsymbol{C H}_{3} \boldsymbol{O}\right)_{2} \boldsymbol{C H} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{B r} \stackrel{M g}{\longrightarrow} \)
\( \stackrel{\boldsymbol{H}_{2} \boldsymbol{C}=\boldsymbol{O}}{\longrightarrow} \underset{\boldsymbol{h e a t}}{\boldsymbol{H}_{3}} \stackrel{\boldsymbol{\rho}}{_{\boldsymbol{h e a t}}} \)
\( ^{\text {A. }} \quad_{C H_{3} O C C H_{2} C H_{2} C H_{2} C H_{2} O H}^{0} \)
в. \( _{\|}^{o} \)
\( C H_{3} C C H_{2} C H_{2} C H_{2} C H_{2} O H \)
\( c \)
\( _{\mathrm{H}}^{\mathrm{O}} \)
\( \mathrm{CCH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{OH} \)
Subject: Maths
Evaluate the following:
\( \sin ^{-1}\left(\frac{2 \pi}{4}\right) \)
ii. \( \cos ^{-1}\left(\cos \frac{7 \pi}{6}\right) \)
iii. \( \tan ^{-1}\left(\tan \frac{2 \pi}{3}\right) \)
iv. \( \cos \left(\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\frac{\pi}{6}\right) \)
A \( \cdot \) i. \( -\frac{\pi}{3} \) ii. \( -\frac{5 \pi}{6} \) iii. \( \frac{\pi}{3} \) iv. 1
B . i. \( \frac{2 \pi}{3} \) ii. \( \frac{\pi}{6} \) iii. \( -\frac{2 \pi}{3} \) iv. 1
C \( \cdot \) i. \( -\frac{2 \pi}{3} \) ii. \( -\frac{\pi}{6} \) iii. \( \frac{2 \pi}{3} \) iv. -1
D \cdot i. \( \frac{\pi}{3} \) ii. \( \frac{5 \pi}{6} \) iii. \( -\frac{\pi}{3} \) iv. -1
Subject: Chemistry
Kjeldahl's method cannot be used for estimation of nitrogen in:
(।) \( C_{6} H_{5} C O N H_{2} \)
(II) pyridine
\( (\| I) C_{6} H_{5}-N=N-C_{6} H_{5} \)
\( (\mathrm{IV}) C_{6} \boldsymbol{H}_{5} \boldsymbol{N} \boldsymbol{H} \boldsymbol{C O C H}_{3} \)
A . ।, Ill
B. ॥, ॥ Il
c. ॥I, Iv
D. ।, ॥
Subject: Maths
The differential equation of family of circles with fixed radius 5 units \( \& \)
centre lies on the line \( y=2, \) is
A \( \cdot(y-2) y^{\prime 2}=25-(y-2)^{2} \)
B・ \( (y-2)^{2} y^{\prime 2}=25-(y-2)^{2} \)
c. \( (x-2) y^{\prime 2}=25-(y-2)^{2} \)
D・ \( (x-2) 2 y^{\prime 2}=25-(y-2)^{2} \)
Subject: Chemistry
The lewis acidity of \( B F_{3} \) is less than
\( B C l_{3} \) even though fluorine is more electronegative than chlorine. It is due
to:
A. stronger \( 1 p(B)-3 p(C l) \sigma- \) bonding
B. stronger \( 2 p(B)-3 p(C l) \pi- \) bonding
c. stronger \( 2 p(B)-2 p(F) \sigma- \) bonding
D. stronger \( 2 p(B)-2 p(F) \pi- \) bonding
Subject: Chemistry
Calculate the emf of the following cell at
\( 298 \mathrm{K} \)
\( \boldsymbol{F} \boldsymbol{e}(\boldsymbol{s})\left|\boldsymbol{F} \boldsymbol{e}^{2+}(\boldsymbol{0} \cdot \boldsymbol{0} \boldsymbol{0} \mathbf{1} \boldsymbol{M}) \| \boldsymbol{H}^{+}(\boldsymbol{1} \boldsymbol{M})\right| \boldsymbol{H}_{2}(\boldsymbol{g}) \)
\( \left(\text {Given } \boldsymbol{E}_{\text {cell}}=+\mathbf{0 . 4 4} \boldsymbol{V}\right) \)
Subject: Physics
If \( V=100 \sin 100 t \) volt, and \( I= \)
\( 100 \sin \left(100 t+\frac{\pi}{6}\right) A . \) then find the watt
less power in watt?
A \( \cdot 10^{\text {। }} \cdot 100 \)
в. \( 10^{3} \)
\( c \cdot 10^{2} \)
D. \( 2.5 \times 10^{3} \sqrt{3} \)
Subject: Chemistry
Which of the following statements are
correct?
This question has multiple correct options
A. An activating group is an electron-releasing group
B. An activating group activates all positions of the benzene ring
C. The effect of any group-whether activating or deactivating - is the strongest at the ortho-and parapositions in the benzene ring
D. An activating group activates only the ortho-and parapositions in the benzene ring
Subject: Physics
Water coming out of a horizontal tube
at a speed \( v \) strikes normally a vertically was close to the mouth of the tube and falls down vertically after impact. When the speed of water is
increased to \( 2 v \)
This question has multiple correct options
A. the thrust exerted by the water on the wall will be doubled
B. the thrust exerted by the water on the wall will be four times
c. the energy lost per second by water strikeup the wall will also be four times
D. the energy lost per second by water striking the wall will be increased eight times
Subject: Maths
In a circle a central angle of \( 60^{\circ} \)
intercepts an arc of 15 inches. How many inches is the radius of the circle?
A \( \cdot \frac{45}{\pi} \)
в.
\( c \cdot 4 \)
D. \( \frac{2 \pi}{3} \)
E. not computable from given data
Subject: Maths
The coordinate of the point dividing internally the line joining the points (4,-2) and (8,6) in the ratio 7: 5 is
A \( .(16,18) \)
в. (18,16)
\( ^{C} \cdot\left(\frac{19}{3}, \frac{8}{3}\right) \)
D. \( \left(\frac{8}{3}, \frac{19}{3}\right) \)
E . (7,3)
Subject: Maths
Solve for \( x \) and
\( \boldsymbol{y} \)
\( \mathbf{2}\left[\begin{array}{cc}\boldsymbol{x} & \mathbf{7} \\ \mathbf{9} & \boldsymbol{y}-\mathbf{5}\end{array}\right]+\left[\begin{array}{cc}\mathbf{6} & -\mathbf{7} \\ \mathbf{4} & \mathbf{5}\end{array}\right]=\left[\begin{array}{cc}\mathbf{1 0} & \mathbf{7} \\ \mathbf{2 2} & \mathbf{1 5}\end{array}\right] \)
Subject: Maths
If a \( \triangle A B C, \) the bisectors \( \angle B \) and \( \angle C \)
intersect at \( O . \) Prove that \( \angle B O C= \)
\( \mathbf{9 0}^{\circ}+\frac{\mathbf{1}}{\mathbf{2}} \angle \boldsymbol{A} \)
Subject: Physics
Three charges, each \( +q, \) are placed at
the corners of an isosceles triangle \( A B C \)
of sides \( \mathrm{BC}, \mathrm{AC} \) and \( \mathrm{AB} \). D and \( \mathrm{E} \) are the
midpoints of BC and CA. The work done in taking a charge \( Q \) from \( D \) to \( E \) is:
(Given \( B C=A C) \)
A \( \cdot \frac{e q Q}{8 \epsilon q} \)
B. \( \frac{q Q}{4 \epsilon_{6} a} \)
C. zero
D. \( \frac{3 q Q}{4 \epsilon_{6} a} \)
Subject: Physics
Statement 1: In simple harmonic motion, the velocity is maximum when the acceleration is minimum.

Statement 2: Displacement and velocity of \( S . H . M \) differ in phase by \( \frac{\pi}{2} \)
A. Statement 1 is false, Statement 2 is true
B. Statement 1 is true, Statement 2 is true; Statement 2 is the correct explanation for Statement 1
c. statement 1 is true, statement 2 is true; Statement 2 is not the correct explanation for Statement 1
D. Statement 1 is true, Statement 2 is false
Subject: Physics
A wire is bent in the form of a semicircle
of radius \( r \) and carries a current of \( i \)
The magnetic induction at the centre of the semicircle is
A \( \cdot \frac{\mu_{o} i}{2 r} \)
в. \( \frac{\mu_{o} i}{8 r} \)
c. \( \frac{\mu_{o} i}{4 r} \)
D. \( \frac{\mu_{o} i}{r} \)
Subject: Physics
Two cells of same emf are connected in
series. Their internal resistances are \( r_{1} \)
and \( r_{2} \) respectively and \( r_{1}>r_{2} . \) When
this combination is connected to an
external resistance \( R \) then the potential difference between the terminals of first
cell becomes zero. In this condition the
value of R will bw
A \( \cdot \frac{r_{1}-r_{2}}{2} \)
B. \( \frac{r_{1}+r_{2}}{2} \)
c. \( r_{1}-r_{2} \)
D. \( r_{1}+r_{2} \)
Subject: Physics
Jahnvi is walking at \( 1.63 m / s \). If she
weighs \( 583 N, \) what is the magnitude of
her momentum?
A. \( 951 \mathrm{kg} \mathrm{m} / \mathrm{s} 951 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
в. \( 68.8 \mathrm{kg} \mathrm{m} / \mathrm{s} \)
c. 137 kg \( m / s \)
D. 672 kg \( m / s \)
Subject: Physics
toppr LOGIN JolN Now
Q Type your question_
changes that will take place as a result
of the increased plate separation?
\( \mathbf{A} \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor Property } & Effect of Increased Plate Separation \\
\hline Charge on Plates & increase \\
Voltage Across Plates & no effect \\
Capacitance & increase \\
\hline
\end{tabular}
B.
\begin{tabular}{|l|l|}
\hline Capacitor Property & Effect of Increased Plate Separation \\
\hline Charge on Plates & no effect \\
Voltage Across Plates & increase \\
Capacitance & decrease \\
\hline
\end{tabular}
\( c \)
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|} { Capacitor Property } & Effect of Increased Plate Separation \\
\hline Charge on Plates & increase \\
Voltage Across Plates & decrease \\
Capacitance & no effect \\
\hline
\end{tabular}
D. \begin{tabular}{|l|l|}
\hline Capacitor Property & Effect of Increased Plate Separation \\
\hline Charge on Plates & decrease \\
Voltage Across Plates & increase \\
Capacitance & no effect \\
\hline
\end{tabular}
\( E \)
\begin{tabular}{|l|l|}
\hline Capacitor Property & Effect of Increased Plate Separation \\
\hline Charge on Plates & no effect \\
Voltage Across Plates & decrease \\
Capacitance & increase \\
\hline
\end{tabular}
Subject: Physics
An aircraft is flying at a height of
\( 3400 m \) above the ground. If the angle subtended at a ground observation
point by the aircraft positions \( 10 s \) apart
is \( 30^{\circ}, \) then the speed of the aircraft is:
\( \mathbf{A} \cdot 10.8 \mathrm{ms}^{-1} \)
В. \( 1963 \mathrm{ms}^{-1} \)
c. \( 108 \mathrm{ms}^{-1} \)
D. 196.3 \( m s^{-1} \)