AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Maths
The geometric mean if the series
\( 1,2,4, \dots .2^{n} \) is
\( \mathbf{A} \cdot 2^{n+(1 / 2)} \)
B. \( 2^{(n+1) / 2} \)
\( \mathrm{c} \cdot 2^{n-(1 / 2)} \)
\( D \cdot 2^{n / 2} \)
Subject: Maths
A body is moving under the action of two forces \( \vec{F}_{1}=\hat{2} i-\hat{5} j ; \vec{F}_{2}=3 i-4 j . \) Its
velocity will become uniform under a third force \( \vec{F}_{3} \) given by
A \( .5 i-9 j \)
B. \( -5 i-9 j \)
c. \( 5 i+9 j \)
D. \( -5 i+9 j \)
Subject: Chemistry
Which of the following statement(s) about the Modern periodic table is/are incorrect?
(i) The elements in the Modern periodic table are arranged on the basis of their decreasing atomic number.
(ii) The elements in the Modern periodic table are arranged on the basis of their increasing atomic number
(iii) Isotopes are placed in an adjoining group(s) in the periodic table.
A. (i) only
B. (i) and (ii)
c. (ii) and (iii)
D. (i) and (iii)
Subject: Chemistry
\( A l \) has lower ionization potential than
that of \( M g \) because:
A. \( A l \) atom is bigger than \( M g \) atom
B. \( M g \) atom is bigger than \( A l \) atom
c. all electrons in \( M g \) are paired, but those of \( A l \) are not
D. all belongs to a higher group
Subject: Maths
In a multiple choice question, there are
four alternative answer of which one or
more than one is correct. A candidate
will get marks on the question only if he ticks all the correct answer. The
candidate decides to tick all the correct
answer. The candidate decides to tick
answers at random. If he is allowed up to three chances to answer the
question, the probability that he will get marks on it is
\( A \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{1}{4} \)
D. 5
Subject: Chemistry
The following reaction occurs in the Blast Furnace where ion ore is reduced
to iron metal:
\( \boldsymbol{F e}_{2} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{3} \boldsymbol{C O}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{2} \boldsymbol{F} \boldsymbol{e}(l)+ \)
\( 3 C O(g) \)
Using Le Chatelier's principle, predict which of the following will not disturb
the equilibrium?
A. Addition of \( F e_{2} O_{3} \)
B. Removal of \( C O_{2} \)
c. Removal of \( \mathrm{CO} \)
D. Addition of \( C O_{2} \)
Subject: Chemistry
In which one of the following compounds does sulphur have the least oxidation number?
\( A \cdot S O_{2} \)
в. \( \mathrm{H}_{2} \mathrm{SO}_{4} \)
\( \mathrm{c} \cdot \mathrm{Na}_{2} \mathrm{S}_{2} \mathrm{O}_{3} \)
D. \( \mathrm{Na}_{2} \mathrm{S}_{4} \mathrm{O}_{6} \)
Subject: Maths
Divide \( 3 x^{4}-5 x^{3} y+6 x^{2} y^{2}-3 x y^{3}+ \)
\( \boldsymbol{y}^{4} \) by \( \boldsymbol{x}^{2}-\boldsymbol{x} \boldsymbol{y}+\boldsymbol{y}^{2} \)
What should be subtracted from the
quotient to make it a perfect square?
A \( \cdot 2 x^{2} \)
В. \( x^{2} \)
\( c \cdot y^{2} \)
D. -xy
Subject: Maths
Assertion
The expression \( n !(10-n) ! \) is
minimum for \( n=5 \)
Reason
The expression \( ^{2 m} C_{r} \) attains maximum
value for \( \boldsymbol{m}=\boldsymbol{r} \)
A. Both (A) \& (R) are individually true \& (R) is correct explanation of (A),
B. Both (A) \& (R) are individually true but (R) is not the correct (proper) explanation of (A)
c. (A)is true but (R) is false
D. (A)is false but (R) is true
Subject: Physics
A man running along a straight road with uniform velocity \( \vec{u}=u \hat{i} \) feels that
the rain is falling vertically down along \( -\hat{\boldsymbol{j}} \). If he doubles his speed,he finds that
the rain is coming at an angle \( \theta \) with the vertical. The velocity of the rain with respect to the ground is :
A \( . u i-u \tan \theta \hat{j} \)
B. \( u i-\frac{u}{\tan \theta} \)
c. \( u \tan \theta-u \vec{j} \)
D. \( \frac{u}{\tan \theta} \vec{i}-u \vec{j} \)
Subject: Chemistry
The structures of \( \left[N i(C O)_{4}\right] \) and
\( \left[N i\left(\left(P h_{3}\right)_{3} P\right)_{2} C l_{2}\right] \) are:
A. square planar in both cases
B. tetrahedral and square planar respectively
c. tetrahedral in both cases
D. square planar and tetrahedral respectively
Subject: Maths
The equation of tangent to the curve \( y=b e^{-x / a} \) where it cuts the \( y \) -axis is
A \( \cdot \frac{x}{a}+\frac{y}{b}=1 \)
B. \( \frac{x}{a}+\frac{y}{b}=-1 \)
c. \( \frac{x}{a}-\frac{y}{b}=1 \)
D. none of these
Subject: Physics
Two identical masses of 5 kg each fall on a wheel from a height of \( 10 \mathrm{m} \). The wheel disturbs a mass of \( 2 \mathrm{kg} \) water, the rise in temperature of water will be:
A \( \cdot 2.6^{\circ} \mathrm{C} \)
в. \( 1.2^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 0.32^{\circ} \mathrm{C} \)
D. \( 0.12^{\circ} \mathrm{C} \)
Subject: Maths
There are three boxes, each containing a different number of light bulbs. The first box has 10 bulbs, of which four are dead, the second has six bulbs, of which one is dead, and the third box has eight bulbs of which three are dead. What is
the probability of a dead bulb being selected when a bulb is chosen at
random from one of the three boxes?
A. \( \frac{115}{330} \)
В. \( \frac{113}{360} \)
c. \( \frac{113}{330} \)
D. None of these
Subject: Physics
If the dielectric constant of a substance
is \( K=\frac{4}{3}, \) then the
electric susceptibility \( \Psi_{e} \) is:
A \( \cdot \frac{1}{3} \)
B. 3
\( c \cdot \frac{4}{3} \)
D. \( \frac{3}{4} \)
Subject: Chemistry
A sample of acetaldehyde contained some ethyl alcohol as impurity. The
reagent useful for the purification of
\( \boldsymbol{C H}_{3} \boldsymbol{C H O} \) is :
A. \( N a H C O_{3} \)
B. \( N a_{2} C O_{3} \)
\( \mathbf{c} \cdot \operatorname{NaH} S O_{3} \)
D. \( P C l_{5} \)
Subject: Maths
\( f\left(a_{1}, a_{2}, a_{3}, \dots \dots a_{n} \) are in A.P then \right.
\( \frac{1}{a_{1} a_{n}}+\frac{1}{a_{2} a_{n-1}}+\frac{1}{a_{3} a_{n-2}}+\dots+ \)
\( \frac{1}{a_{n} a_{1}}= \)
\( \frac{\mathbf{2}}{\boldsymbol{a}_{1}+\boldsymbol{a}_{\boldsymbol{n}}}\left(\frac{\mathbf{1}}{\boldsymbol{a}_{\mathbf{1}}}+\frac{\mathbf{1}}{\boldsymbol{a}_{\mathbf{2}}}+\ldots+\frac{\mathbf{1}}{\boldsymbol{a}_{\boldsymbol{n}}}\right) . . \) If this
expression is correct write 1 otherwise
0
Subject: Physics
Assertion
A body with constant acceleration
always moves along a straight line.
Reason

A body with constant magnitude of acceleration may not speed up.
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 parallel plane capacitor \( C \) with plates
of unit area and separation \( d \) is filled
with a liquid of dielectric constant \( k= \)
2. The level of liquid is \( \frac{u}{3} \) initially.
Suppose the liquid level decreases at a
constant speed \( v \), the time constant as
a function of time \( t \) is
A \( \frac{6 \varepsilon_{0} R}{5 d+3 v} \)
B. \( \frac{(15 d+9 v t) \varepsilon_{0} R}{2 d^{2}-3 d u t-9 v^{2} t^{2}} \)
c. \( \frac{6 \pi \varepsilon_{0} R}{5 d-3 v} \)
D. \( \frac{(15 d-9 v t) \varepsilon_{0} R}{2 d^{2}+3 d v t-9 v_{2 t^{2}}} \)
Subject: Chemistry
In which of the following sets, the central atom of each member involves
\( \boldsymbol{s} \boldsymbol{p}^{3} \) hybridisation?
\( \mathbf{A} \cdot I O_{4}^{-}, I C l_{4}^{-}, I F_{4}^{+} \)
в. \( X e O_{3}, X e O_{4}, X e F_{4} \)
\( \mathrm{c} \cdot \mathrm{SO}_{3}, \mathrm{SO}_{3}^{2-}, \mathrm{SO}_{4}^{2} \)
D. \( P C l_{4}^{+}, B F_{4}^{-}, C l O_{4} \)
Subject: Physics
If a train travelling at \( 72 \mathrm{km} / \mathrm{h} \) is to be
brought to rest at a distance of \( 200 \mathrm{m} \) then its retardation should be:
A \( \cdot 20 m / s^{2} \)
B. \( 2 s^{2} \)
C \( .10 \mathrm{m} / \mathrm{s}^{2} \)
D. \( 1 \mathrm{m} / \mathrm{s}^{2} \)
Subject: Maths
Solve for \( x \) and \( y \) \( \frac{\boldsymbol{a} \boldsymbol{x}}{\boldsymbol{b}}-\frac{\boldsymbol{b} \boldsymbol{y}}{\boldsymbol{a}}=\boldsymbol{a}+\boldsymbol{b}, \boldsymbol{a} \boldsymbol{x}-\boldsymbol{b} \boldsymbol{y}=\boldsymbol{2} \boldsymbol{a} \boldsymbol{b} \)
Subject: Chemistry
\( K_{a} \) for acetic acid in water is \( 1.7 \times \)
\( 10^{-5} \) at \( 25^{\circ} \mathrm{C} . \) The \( \mathrm{pH} \) of a mixture of 25
\( \mathrm{ml} \) of \( 0.02 \mathrm{N} \) acetic acid and \( 2.5 \mathrm{ml} \) of
0.1N NaOH (neglecting volume change) will be \( (\log 1.7=0.23) \)
A . 2.
B. 4.8
\( c .7 .5 \)
D. 1.0.
Subject: Physics
A particle of mass \( m_{1} \) moving at
certain velocity collides elastically
head on with a particle of mass \( m_{2} \) at rest. After collision their velocities will
be in the ratio of
A \( \cdot \frac{m_{1}-m_{2}}{m_{1}+m_{2}} \)
в. \( \frac{m_{1}-m_{2}}{2\left(m_{1}+m_{2}\right)} \)
c. \( \frac{2 m_{1}}{m_{1}-m_{2}} \)
D. \( \frac{m_{1}-m_{2}}{2 m_{1}} \)
Subject: Maths
The latus rectum subtends a right angle at the centre of the ellipse then its eccentricity is
\( A \cdot 2 \sin 18^{\circ} \)
B. \( 2 \cos 18^{\circ} \)
\( c \cdot 2 \sin 54^{\circ} \)
\( D \cdot 2 \cos 54^{\circ} \)
Subject: Physics
Assertion
If the length of the conductor is doubled, the drift velocity will become half of the original value (keeping potential difference unchanged).
Reason
At constant potential difference, drift
velocity is inversely proportional to the length of the conductor.
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 ratio of the outer and inner
perimeters of a circular path is 23: 22
If the path is \( 5 \mathrm{m} \) wide what is the diameter of the circle? Also find the
area of path enclosed between the two
circles.
A. 3535.71 sq. \( \mathrm{m} \)
B . 1232.23 sq. \( \mathrm{m} \)
c. 2727.53 sq. \( \mathrm{m} \)
D. 4343.12 sq. \( \mathrm{m} \)
Subject: Physics
A particle projected from the origin \( (x=y=0) \) moves in \( x y \) plane so that
its velocity is \( v=(2 \hat{i}+4 x \hat{j}) \mathrm{m} / \mathrm{s}, \) when it is at point \( (x, y) \) m. \( (\hat{i} \text { and } \hat{j} \) are the unit vectors along \( x \) and \( y \) axis). What
is the value of \( y, \) when \( x=3 \)
A . 15
B. 10
\( c .9 \)
D. 8
Subject: Physics
\( H e^{+} \) is in \( n^{t h} \) state.lt emits two
successive photons of wavelength \( 103.7 n m \) and \( 30.7 n m, \) to come to
ground state the value of \( n \) is:
A . 4
B. 5
\( c \cdot 6 \)
D.
Subject: Physics
The energy required to transfer an electron from second Bohr orbit to third
Bohr orbit in a hydrogen like atom with
nuclear charge \( Z_{e} \) is \( 6.8 e V \) The wavelength of radiation required to shift the electron from first orbit to
infinite orbit will be :
A \( \cdot 2.527 A^{\circ} \)
B . 25.27 A \( ^{\circ} \)
c. \( 252.7 A^{\circ} \)
D . 2527 A \( ^{\circ} \)
Subject: Maths
Let \( ^{\prime} *^{\prime} \) be a binary operation on \( N \) defined by \( a * b=\mathrm{LCM}(a, b) \) for all
\( \boldsymbol{a}, \boldsymbol{b} \in \boldsymbol{N} . \) Find \( \boldsymbol{2} * \boldsymbol{4}, \boldsymbol{3} * \boldsymbol{5}, \boldsymbol{1} * \boldsymbol{6} \)
Subject: Maths
If \( f(x) \) is given by \( f(x)=(\cos x+ \)
\( i \sin x)(\cos 3 x+i \sin 3 x) \dots .(\cos (2 n- \)
1) \( x+i \sin (2 n-1) x \) ), then \( f^{\prime \prime}(x) \) is
equal to
\( \mathbf{A} \cdot n^{3} f(x) \)
B . \( -n^{4} f(x) \)
\( \mathbf{c} \cdot-n^{2} f(x) \)
D \( \cdot n^{4} f(x) \)
Subject: Maths
Let \( A \) and \( B \) be two events such that
\( P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4} \) and
\( P(\bar{A})=\frac{1}{4}, \) where \( \bar{A} \) stands for the
complement of the event A. Then the
events \( A \) and \( B \) are?
A. Independent but not equally likely
B. Independent and equally likely
c. Mutually exclusive and independent
D. Equally likely but not independent
Subject: Physics
Two strings \( A \) and \( B \) with \( \mu=2 k g / m \)
and \( \mu=8 k g / m \) respectively are joined
in series and kept on a horizontal table with both the ends fixed. The tension in
the string is \( 200 \mathrm{N} \). If a pulse of amplitude \( 1 \mathrm{cm} \) travels in \( \mathrm{A} \) towards the junction, then find the amplitude of reflected and transmitted pulse.
A \( . A_{r}=2 A_{T}=7 \)
в. \( _{A_{r}}=\frac{-1}{3} A_{T}=\frac{2}{3} \)
c. \( A_{r}=8 A_{T}=9 \)
D. \( A_{r}=3 A_{t}=4 \)
Subject: Maths
A die is thrown three times and the sum
of three numbers obtained is \( 15 . \) The
probability of first throw being 6 is:
A \( \cdot \frac{1}{5} \)
B. \( \frac{2}{5} \)
\( c \cdot \frac{3}{5} \)
D. \( \frac{4}{5} \)
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\cos \boldsymbol{\pi}(|\boldsymbol{x}|+[\boldsymbol{x}]), \) then \( \boldsymbol{f}(\boldsymbol{x}) \)
is/are (where [.] denotes greatest
integer function) This question has multiple correct options
A . continuous at \( x=\frac{1}{2} \)
B. continuous at \( x=0 \)
c. Differentiable in (2,4)
D. Differentiable in (0,1)
Subject: Chemistry
Reaction, \( \boldsymbol{C l}_{2}+\mathbf{2} \boldsymbol{N} \boldsymbol{a} \boldsymbol{O} \boldsymbol{H} \rightarrow \boldsymbol{P} \)
What are the products?
A. \( N a C l+N a O C l+H_{2} \)
в. \( N a C l+N a O C l+H_{2} O_{2} \)
c. \( N a C l+N a O C l+H_{2} O \)
D. \( N a C l+N a O C l+O_{2} \)
Subject: Chemistry
The chloro-bis (ethylenediamine)
nitrocobalt(III) ion is -
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N O_{2}\right)_{2}(e n)_{2} C l_{2}\right]^{+} \)
B. \( \left[\operatorname{CoCl}\left(N O_{2}\right)_{2}(e n)_{2}\right]^{+} \)
c. \( \left[\operatorname{Co}\left(N O_{2}\right) C l(e n)_{2}\right] \)
D. \( \left.[\operatorname{Co(en}) C l_{2}\left(N O_{2}\right)_{2}\right] \)
Subject: Maths
Show that the Signum Function \( \boldsymbol{f} \)
\( R \rightarrow R, \) is neither one one nor onto?
\[
f(x)=\left\{\begin{array}{l}
1, \text { if } x>0 \\
0, \text { if } x=0 \\
-1, \text { if } x<0
\end{array}\right.
\]
Subject: Chemistry
Out of the following redox reactions \( \boldsymbol{I} \cdot \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{N} \boldsymbol{O}_{3} \stackrel{\Delta}{\rightarrow} \boldsymbol{N}_{2} \boldsymbol{O}+\boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
III.N \( \boldsymbol{H}_{4} \boldsymbol{N} \boldsymbol{O}_{2} \stackrel{\Delta}{\rightarrow} \boldsymbol{N}_{2}+\mathbf{2} \boldsymbol{H}_{2} \boldsymbol{O} \)
IIII.PCl\( _{5} \stackrel{\Delta}{\rightarrow} P C l_{3}+C l_{2} \)
disproportionation is not shown in:
A . I and II
B. II and III
c. I and III
D. I, II and III
Subject: Chemistry
Construct the cells in which the
following reactions are taking place. Which of the electrodes shall act as
anode (negative electrode) and which one as cathode (positive electrode)?
(a) \( Z n+C u S O_{4}=Z n S O_{4}+C u \)
(b) \( \boldsymbol{C u}+\mathbf{2 A g} \boldsymbol{N O}_{3}=\boldsymbol{C u}\left(\boldsymbol{N O}_{3}\right)_{2}+ \)
\( \mathbf{2} \boldsymbol{A} \boldsymbol{g} \)
\( (c) Z n+H_{2} S O_{4}=Z n S O_{4}+H_{2} \)
(d) \( \boldsymbol{F} \boldsymbol{e}+\boldsymbol{S} \boldsymbol{n} \boldsymbol{C l}_{2}=\boldsymbol{F} \boldsymbol{e} \boldsymbol{C l}_{2}+\boldsymbol{S} \boldsymbol{n} \)
Subject: Chemistry
For cell reaction \( : Z n+C u^{2+} \rightarrow Z n^{2}+ \)
\( C u \) cell representation is:
A \( \cdot Z n\left|Z n^{2+} \| C u^{2+}\right| C u \)
в. \( C u\left|C u^{2+} \| Z n^{2+}\right| Z n \)
c. \( C u\left|Z n^{2+}\right||Z n| C u^{2+} \)
D. \( C u^{2+}\left|Z n \| Z n^{2+}\right| C u \)
Subject: Physics
Two identical copper spheres carrying charges \( +Q \) and \( -9 Q \) separated by a certain distance has attractive force \( F \)
If the spheres are allowed to rouch each
other and moved to distance of
separation 'x'. So that the force between them becomes \( \frac{4 F}{9} \). Then \( X \) is equal to
A. \( d \)
B. \( 2 d \)
\( c \cdot d / 2 \)
D. \( 4 d \)
Subject: Physics
Two identical coils carry equal currents have a common centre and their planes
are at right angles to each other. The ratio of the magnitude of the resultant magnetic field at the centre and the field due to one coil is :
A . 2: 1
B. 1: 2
\( \mathbf{c} \cdot \sqrt{2}: 1 \)
D. \( 1: \sqrt{2} \)
Subject: Physics
Four identical thin rods each of mass \( \mathrm{M} \)
and length I, form a square frame. Moment of inertia of this frame about
an axis through the centre of the square and perpendicular to its plane is?
A \( \cdot \frac{1}{3} M l^{2} \)
в. \( \frac{8}{3} M l^{2} \)
c. \( \frac{2}{3} M l^{2} \)
D. \( \frac{13}{3} M l^{2} \)
Subject: Maths
Verify Rolle's Theorem for the function
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}-\boldsymbol{8}, \boldsymbol{x} \in[-\boldsymbol{4}, \boldsymbol{2}] \)
Subject: Physics
A nucleus with atomic number \( z \) and
neutron number N undergoes two decay processes. The result is a nucleus with atomic number Z-3 and neutron
number N-1. Which decay processes took place?
A . Two \( \beta^{-} \) decays
B. Two \( \beta^{+} \) decays
C. \( A n \alpha-d e c a y \) and \( a \beta^{-} \) decay
D. An \( \alpha- \) decay and a \( \beta^{+} \) decay
Subject: Chemistry
Which of the following is in correct
order?
\( \mathbf{A} \cdot S b H_{3}<N H_{3}<A s H_{3}<P H_{3}(\text { Boling point }) \)
B . \( N-H<P-H<A s-H<S b-H \) (Bond
dissociation enthalpy)
\( \mathbf{C} \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3}>B i H_{3} \) (Thermal
stability）
\( \mathbf{D} \cdot S b_{2} O_{5}>A s_{2} O_{5}>P_{2} O_{5}>N_{2} O_{5} \) (Acidic strength)
Subject: Physics
The nucleus \( _{n}^{m} X \) emits \( \alpha \) particle and 2
\( \boldsymbol{\beta} \) particles. The resulting nucleus is:
A \( m-4 \)
\( n-2 \)
В \( \cdot m-6 \)
\( n-4 \)
\( \mathbf{c} \cdot_{n}^{m-6} Z \)
D. \( _{n}^{m-4} X \)
Subject: Chemistry
Which of the following compounds is
amphoteric?
\( \mathbf{A} \cdot \operatorname{Cr}(O H)_{2} \)
B. \( F e(O H)_{2} \)
\( \mathbf{c} \cdot \operatorname{Cr}(O H)_{3} \)
D. \( \mathrm{Fe}(\mathrm{OH})_{3} \)
Subject: Physics
A body having kinetic energy \( k \) moving on a rough horizontal surface is stopped at a distance \( x \) by constant frictional
force. The force of friction exerted on the
body is
A \( \cdot \frac{k}{x} \)
B. \( \frac{\sqrt{k}}{x} \)
c. \( \frac{k}{\sqrt{x}} \)
D. \( k x \)
Subject: Chemistry
1.2 mol of \( \boldsymbol{C H}_{3} \boldsymbol{N} \boldsymbol{H}_{2}\left(\boldsymbol{p} \boldsymbol{K}_{\boldsymbol{b}}=\boldsymbol{3} . \boldsymbol{3}\right) \) is
added to 0.8 moles of \( H C l \) and the
solution is diluted to one litre, resulting \( \boldsymbol{p} \boldsymbol{H} \) of solution is:
A . 10.7
в. 3.6
c. 10.4
D. 11.3
Subject: Physics
The resultant of two forces \( 3 P \) and \( 2 P \) is
R. If the first force is doubled then the
resultant is also doubled. The angle
between the two forces is
A . \( 60^{\circ} \)
B. \( 120^{\circ} \)
\( c \cdot 30 \)
D. \( 135^{\circ} \)
Subject: Physics
\( K \) is the force constant of a spring. The
work done in increasing its extension
from \( l_{1} \) to \( l_{2} \) will be:
\( \mathbf{A} \cdot K\left(l_{2}-l_{1}\right) \)
в. \( \frac{K}{2}\left(l_{2}+l_{1}\right) \)
\( \mathbf{c} \cdot K\left(l_{2}^{2}-l_{1}^{2}\right) \)
D. \( \frac{K}{2}\left(l_{2}^{2}-l_{1}^{2}\right) \)
Subject: Chemistry
Find the total white colour compounds from following
\( \mathbf{A g C l}, \mathbf{A g F} \)
\( F e S O_{4} .7 H_{2} O, Z n S O_{4} .7 H_{2} O \)
Anhydrous \( C u S O_{4}, F e C l_{3}, F e C l_{2} \)
Subject: Maths
Find the altitude of a parallelopiped determined by \( \vec{a}, \vec{b}, \vec{c} \) if yhe base \( \vec{a}, \& \vec{b} \) and if \( \vec{a}=\hat{i}+\hat{j}+\hat{k} ; \vec{b}=2 \hat{i}+4 \hat{j}- \)
\( \hat{\boldsymbol{k}} \& \overrightarrow{\boldsymbol{c}}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\mathbf{3} \hat{\boldsymbol{k}} \)
Subject: Maths
A force \( \overrightarrow{\boldsymbol{F}}=\mathbf{3} \hat{\boldsymbol{i}}+\mathbf{2} \widehat{\boldsymbol{j}}-\boldsymbol{4} \widehat{\boldsymbol{k}} \) is applied at
the point \( (1,-1,2) . \) What is the moment of the force about the point (2,-1,3)\( ? \)
\( \mathbf{A} \cdot \hat{i}+4 \widehat{j}+4 \widehat{k} \)
B. \( 2 \hat{i}+\widehat{j}+2 \widehat{k} \)
c. \( 2 \hat{i}-7 \hat{j}-2 \widehat{k} \)
D . \( 2 \hat{i}+4 \widehat{j}-\widehat{k} \)
Subject: Chemistry
In the following redox reaction:
\( \boldsymbol{Z} \boldsymbol{n}(\boldsymbol{s})+\boldsymbol{N} \boldsymbol{O}_{\boldsymbol{3}}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}) \longrightarrow \)
\( Z n^{2+}(a q)+N H_{4}^{+}(a q) \)
\( Z n(s) \) and \( N O_{3}^{-}(a q) \) respectively are
respectively:
A. oxidant and reductant
B. reductant and oxidant
c. both oxidant
D. both reductant
Subject: Physics
toppr
Q Type your question
insulated from each other. The entire
loop lies in the plane (of the paper). A
uniform magnetic field \( B \) point into the
plane of the paper. At \( t=0, \) the loop
starts rotating about the common
diameter as axis with a constant
angular velocity \( \omega \) in the magnetic field Which of the following options is/are
correct?
This question has multiple correct options
A. The amplitude of the maximum net \( e m f \) induced due to both the loops is equal to the amplitude of maximum \( e m f \) induced in the smaller loop alone
B. The rate of change of the flux is maximum when the plane of the loops is perpendicular to plane of the paper
c. The \( e m f \) induced in the loop is proportional to the surn of the areas of the two loops
D. The net \( e m f \) induced due to both the loops is proportional to cos \( \omega t \)
Subject: Maths
Example 3. in the following \( A P_{S} \) find
teh ,missing terms in the boxes:
A. \( 2,, 26 \)
B . \( 5, \quad,, 9 \frac{1}{2} \)
\( \mathrm{c} \ldots, 13,, 3 \)
D. Do all the above options
Subject: Physics
An object is placed \( 30 \mathrm{cm} \) away from a convex lens of focal length \( 10 \mathrm{cm} \) and a
sharp image is formed on a screen. Now
a concave lens is placed in contact with the convex lens. The screen now has to
be moved by \( 45 \mathrm{cm} \) to get a sharp image again. The magnitude of focal length of the concave len is (in cm)
A . 72
B. 60
c. 36
D. 20
Subject: Physics
In common base circuit of a transistor,
current amplification factor is 0.95 Calculate the emitter current if base
current is \( 0.2 \mathrm{mA} \)
A . \( 2 \mathrm{mA} \)
B. \( 4 \mathrm{m} \)
\( c .6 m A \)
D. \( 8 \mathrm{m} \)
Subject: Chemistry
Imagine a planet with an atmosphere
that contains \( O_{2} \) and \( S O_{2} \) but no \( C O_{2} \)
The chemical composition of the minerals you would expect to find the
alkaline earth metals on such a planet
is/ are:
This question has multiple correct options
A \( . M S O_{4} \)
в. \( M_{2} S O_{3} \)
c. \( M S O_{3} \)
D. \( M_{2} S O_{4} \)
Subject: Maths
Let \( \vec{r}=\vec{a}+\lambda \vec{l} \) and \( \vec{r}=\vec{b}+\mu \vec{m} \) be two
lines in space where \( \overrightarrow{\boldsymbol{a}}=\mathbf{5} \hat{\mathbf{i}}+\hat{\boldsymbol{j}}+\mathbf{2} \hat{\boldsymbol{k}} \)
\( \overrightarrow{\boldsymbol{b}}=-\hat{\boldsymbol{i}}+\boldsymbol{7} \hat{\boldsymbol{j}}+\boldsymbol{8} \hat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{l}}=-\boldsymbol{4} \hat{\boldsymbol{i}}+\boldsymbol{7} \hat{\boldsymbol{j}}-\hat{\boldsymbol{k}} \)
and \( \overrightarrow{\boldsymbol{m}}=-2 \hat{\boldsymbol{i}}-\boldsymbol{5} \hat{\boldsymbol{j}}-\boldsymbol{7} \hat{\boldsymbol{k}} \) then the
position vector of a point which lies on both of these lines, is
\( \mathbf{A} \cdot \hat{i}+2 \hat{j}+\hat{k} \)
B. \( 2 \hat{i}+\hat{j}+\hat{k} \)
c. \( \hat{i}+2 \hat{j}+2 \hat{k} \)
D. Non existent as the lines are skew
Subject: Chemistry
Among the following, the couple with most positive reduction potential is :
A. \( M n^{+3} / M n^{+2} \)
B. \( C r^{+3} / C r^{+2} \)
c. \( F e^{+3} / F e^{+2} \)
D. \( C o^{+3} / C o^{+2} \)
Subject: Maths
The average length of time required to
complete a jury questionnaire is 40 minutes, with a standard deviation of 5 minutes. What is the probability that it will take a prospective juror between 30
and 50 minutes to complete the questionnaire?
A. About \( 85 \% \)
B. About \( 90 \% \)
c. About \( 95 \% \)
D. none