AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
The compounds
\( \left[\boldsymbol{C r}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{6}\right] \boldsymbol{C l}_{3},\left[\boldsymbol{C r}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5}\right] \boldsymbol{C l} \cdot \boldsymbol{H}_{2} \boldsymbol{O} \)
and \( \left[\boldsymbol{C r}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{4} \boldsymbol{C l}_{2}\right] \boldsymbol{C l} \cdot \boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O} \) exhibits:
A . linkage isomerism
B. geometrical isomerism.
c. ionization isomerism.
D. hydrate isomerism.
Subject: Physics
Two point charges \( 10^{-5} \mathrm{C} \) and \( -10^{-5} \mathrm{C} \) are released from large separation. Their masses are 100 gm and 200 gm. If velocity of approach (in \( \mathrm{m} / \mathrm{s} \) ) of them when they are separated by distance \( 3 m \) is \( \frac{x}{4} m / s . \) Then \( x \) is :
A . 12
B. 1
\( c \cdot 4 \)
D. 8
Subject: Chemistry
Number of sigma and pi bonds in \( \mathrm{ClO}_{4}^{-} \)
ion are:
\( \mathbf{A} \cdot 4 \sigma \) and \( 4 \pi \)
B. \( 4 \sigma \) and \( 2 \pi \)
\( \mathbf{c} \cdot 4 \sigma \) and \( 3 \pi \)
D. \( 3 \sigma \) and \( 2 \pi \)
Subject: Chemistry
lonisation enthalpy \( \left(\Delta_{i} H_{1} k J m o l^{-1}\right) \)
for the elements of Group 13 follows the order:
A. \( B>A l>G a>I n>T l \)
в. \( B<A l>G a<I n>T l \)
c. \( B<A l>G a>I n>T l \)
D. \( B>A l<G a>I n<T l \)
Subject: Physics
Assertion
A dam for water reservoir is built
thicker at bottom than at the top.
Reason
Pressure of water is very large at the
bottom.
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 tribasic acid is:
\( \mathbf{A} \cdot H_{3} P O_{4} \)
\( \mathbf{B} \cdot H_{3} P O_{3} \)
\( \mathbf{c} \cdot H_{3} P O_{2} \)
\( \mathbf{D} \cdot H P O_{3} \)
Subject: Maths
Distance of the point \( \boldsymbol{P}(\overrightarrow{\boldsymbol{p}}) \) from the line \( \vec{r}=\vec{a}+\lambda \vec{b} \) is -
A \( \cdot(\vec{a}-\vec{p})+\frac{((\vec{p}-\vec{a}) \cdot \vec{b}) \vec{b}}{|\vec{b}|^{2}} \mid \)
B. \( (\vec{b}-\vec{p})+\frac{((\vec{p}-\vec{a}) \cdot \vec{b}) \vec{b}}{|\vec{b}|^{2}} \mid \)
c. \( \quad\left|(\vec{a}-\vec{p})+\frac{((\vec{p}-\vec{b}) \cdot \vec{b}) \vec{b}}{|\vec{b}|^{2}}\right| \)
D. None of these.
Subject: Chemistry
The correct order of spin-only magnetic moments among the following is?
(Atomic number: \( M n=25, C o= \)
\( \mathbf{2 7}, \boldsymbol{N} \boldsymbol{i}=\mathbf{2 8}, \boldsymbol{Z} \boldsymbol{n}=\mathbf{3 0}) \)
A \( \cdot\left[Z n C l_{4}\right]^{2-}>\left[N i C l_{4}\right]^{2-}>\left[C o C l_{4}\right]^{2-}>\left[M n C l_{4}\right]^{2} \)
B . \( \left[C o C l_{4}\right]^{2-}>\left[M n C l_{4}\right]^{2-}>\left[N i C l_{4}\right]^{2-}>\left[Z n C l_{4}\right]^{2} \)
C \( \cdot\left[N i C l_{4}\right]^{2-}>\left[C o C l_{4}\right]^{2-}>\left[M n C l_{4}\right]^{2-}>\left[Z n C l_{4}\right]^{2} \)
D. \( \left[M n C l_{4}\right]^{2-}>\left[C o C l_{4}\right]^{2-}>\left[N i C l_{4}\right]^{2-}>\left[Z n C l_{4}\right]^{2} \)
Subject: Physics
Two isolated, charged conducting spheres of radii a and b produce the same electric field near their surfaces.
The ratio of electric potentials on their
surfaces is :
A \( \cdot \frac{a}{b} \)
B. \( \frac{b}{a} \)
c. \( \frac{a^{2}}{b^{2}} \)
D. \( \frac{b^{2}}{a^{2}} \)
Subject: Physics
If \( A+B=C \) and that \( C \) is
perpendicular to \( A \). What is the angle
between \( \boldsymbol{A} \) and \( \boldsymbol{B} \), if \( |\boldsymbol{A}|=|\boldsymbol{C}| \) ?
A \( \cdot \frac{\pi}{4} r a d \)
B. \( \frac{\pi}{2} r a d \)
c. \( \frac{3 \pi}{4} r a d \)
D. \( \pi r a d \)
Subject: Maths
toppr 5
Q type your question
(b) \( \frac{4}{20} \)
\( (c) \frac{1}{2} \)
(d) \( \frac{2}{3} \)
\( (e) \frac{3}{5} \)
(f) \( 2 \frac{1}{7} \)
\( (g) \frac{1}{5} \)
(h) \( \frac{4}{15} \)
(i) \( \frac{1}{6} \)
(j) \( 4 \frac{3}{8} \)
(k) \( \frac{8}{9} \)
(।) \( 1 \frac{1}{9} \)
Subject: Physics
Two vertical rods of equal lengths, one of steel and the other of copper, are
suspended from the ceiling, at a distance I apart and are connected
rigidly to a rigid horizontal bar at their
lower ends. If \( A_{S} \) and \( A_{C} \) be their
respective cross-sectional areas, and
\( \boldsymbol{Y}_{\boldsymbol{S}} \) and \( \boldsymbol{Y}_{C}, \) their respective Young's
moduli of elasticities, where should a
vertical force \( F \) be applied to the horizontal bar in order that the bar
remains horizontal?
Subject: Chemistry
Which among the following are physical or chemical changes?
(a) Evaporation of petrol
(b) Burning of liquefied Petroleum Gas
\( (\mathrm{LPG}) \)
(c) Heating of an iron rod to red hot.
(d) Curdling of milk
(e) Sublimation of solid ammonium
chloride
\( A \cdot(a),(b) \) and \( (c) \) are physical changes; \( (d) \) and (e)are chemical changes
B. (d), (b) and (e) are physical changes; (a) and (c) are chemical changes
c. (a), (b) and (e) are physical changes; (c) and (d) are chemical changes
D. \( (a),(c) \) and (e) are physical changes; (b) and (d) are chemical changes
Subject: Physics
If \( \rho \) is the density, \( m \) is the mass of 1
molecule and \( K \) is the Boltzman constant
for a gas then the pressure of the gas is:
A \( \cdot P=\frac{\rho K T}{m} \)
B. \( P=\frac{m K T}{\rho} \)
c. \( _{P}=\frac{\rho m T}{K} \)
D. \( P=\rho K m T \)
Subject: Physics
A body is projected with velocity
\( 24 m s^{-1} \) making an angle \( 30^{\circ} \) with the horizontal. The angle made by the direction of the projectile with the horizontal at \( 2 s \) from start is:
A \( \cdot \tan ^{-1} \frac{2}{3 \sqrt{3}} \)
B. \( \tan ^{-1} \frac{1}{3 \sqrt{3}} \)
c. \( \tan ^{-1} \frac{2}{3} \)
D. \( \tan ^{-1} \frac{1}{3} \)
Subject: Physics
A plane banks its wings \( 30^{\circ} \) relative to
the horizontal to enter into a circular
turn. The circular path has a radius of
\( 1500 m \)
Which of these values best represents the velocity of the plane if the lift force exerted on the wings is equal to twice the weight of the plane?
A. \( 120 m / s \)
в. \( 140 \mathrm{m} / \mathrm{s} \)
c. \( 160 \mathrm{m} / \mathrm{s} \)
D. 240m/s
E. \( 320 m / s \)
Subject: Physics
In an LCR series a.c. circuit, the voltage
across each of the components. \( L, C \) and \( \mathrm{R} \) is \( 50 \mathrm{V} \). The voltage across the \( \mathrm{LC} \) combination will be;
A . \( 50 \mathrm{V} \)
B. \( 50 \sqrt{2} \mathrm{v} \)
c. \( 100 \mathrm{V} \)
D. \( 0 \mathrm{V} \) (zero)
Subject: Physics
A closely wound solenoid of 800 turns and area of cross-section \( 2.5 \times 10^{-4} m^{2} \)
carries a current of \( 3.0 A \). Explain the
sense in which the solenoid acts line a
bar magnet. What is its associated
magnetic moment?
\( \mathbf{A} \cdot 6 J / T \)
в. \( 0.9 J / T \)
c. \( 9 J / T \)
D. \( 0.6 J / T \)
Subject: Maths
f \( \boldsymbol{A}=(-\mathbf{3}, \mathbf{2}, \mathbf{5}), \boldsymbol{B}=(-\mathbf{3}, \mathbf{4}, \mathbf{5}) \) and
\( C=(-3,4,7) \) are the position vectors
of vertices of \( \Delta A B C \) then its
circumcentre is
A. (-3,3,5)
(年 \( \cdot(-3,3,5) \)
В. (-3,3,6)
c. (-3,4,6)
a
D. (-3,4,7)
Subject: Physics
\( I \) is the moment of inertia of a thin
circular plate about an axis of rotation perpendicular to the plane of plate and
passing through its centre. The moment of inertia of same plate about an axis passing through its diameter is :
\( \mathbf{A} \cdot 2 I \)
B. \( \sqrt{2} I \)
c. \( \frac{I}{\sqrt{2}} \)
D. \( \frac{1}{2} \)
Subject: Physics
The smallest distance between the
planes and the time when this occurs are: (nearly)
\( \left(\operatorname{given} \tan ^{-1}\left(\frac{128}{252}\right)=\tan ^{-1}\left(26.9^{0}\right)\right) \)
A. \( 54 \mathrm{km}, 98 \mathrm{s} \)
B. \( 98 \mathrm{km}, 54 \mathrm{s} \)
\( c .27 \mathrm{km}, 189 \mathrm{s} \)
D. \( 189 \mathrm{km}, 54 \mathrm{s} \)
Subject: Biology
Match the following lists and choose the correct combination.
List-I List-II
(A)Trichomes \( \quad \) (i)Gaseous exchnage
(B)Tracheid \( \quad \) (ii)Mechanical strength
(C)Bast fiber
(iii)Prevent water loss
(iv)Water conduction (D)Guard cells food pf (v)Synthesis
\( A \)
A- (iii), B- (v), C- (iv), D- (ii)
B. A- (iii), B- (iv), C- (ii), D- (i)
\( c \)
A- (i), B- (iv), C- (ii), D- (iii)
\( A-(v) \) C- (iv), D- (ii)
D. B- (iii)
Subject: Physics
Magnetic monopoles are arranged as shown. The resultant magnetic
induction at point ' \( q^{\prime} \) is:
A \( \cdot \frac{\mu_{0}}{4 \pi} \frac{m}{r^{2}} \frac{3}{2} \)
В. \( \frac{\mu_{0}}{4 \pi} \frac{m}{r^{2}} \frac{1}{4} \)
\( \mathbf{C} \cdot \frac{\mu_{0}}{4 \pi} \frac{m}{r^{2}} \frac{3}{4} \)
D. \( \frac{\mu_{0}}{4 \pi} \frac{m^{2}}{r^{2}} \frac{3}{8} \)
Subject: Maths
In the figure the sides \( B C, C A \) and \( A B \)
of a \( \triangle A B C \) have been produced to \( D, E \)
and \( F \) respectively. If \( \angle A C D=105^{\circ} \)
and \( \angle E A F=45^{\circ}, \) find all the angles of
the \( \triangle A B C \)
Subject: Physics
Two particles start simultaneously from the same point and move along two straight lines, one with uniform velocity
\( \boldsymbol{v} \) and other with a uniform acceleration
\( a . \) If \( \alpha \) is the angle between the lines of
motion of two particles then the least value of relative velocity will be at time
given by
B. \( (v / a) \cos \alpha \)
\( \mathbf{D} \cdot(v / a) \cot \alpha \)
Subject: Physics
Three charges \( +4 q, Q \) and \( q \) are placed in a straight line of length I at points at distances \( 0,1 / 2, \) and I respectively. What should be \( Q \) in order to make the
net force on q to be zero?
\( A \cdot-q \)
B. -29
\( c \cdot-\frac{q}{2} \)
D. 49
Subject: Maths
The negation of the statement \( \boldsymbol{q} \vee \) \( (p \wedge \sim r) \) is equivalent to
\( \mathbf{A} \cdot \sim q \wedge(p \rightarrow r) \)
в. \( q \vee \sim(p \rightarrow r) \)
c \( \cdot q \wedge(\sim p \wedge r) \)
D. None of these.
Subject: Physics
Consider a ring rolling down a smooth inclined plane of vertical height 'h' and inclination \( \theta . \) Then the true statement
in the following is?
A. Acceleration along the plane is \( g \sin \theta \) and the potential energy at the topmost point is mgh
B. Acceleration along the plane is g and the potential energy at the top most point is mgh
c. Acceleration along the plane is \( g \sin \theta \) and the potential energy at the top most point as mgh sin \( \theta \)
D. None of these
Subject: Chemistry
Identify the correct labels of \( A, B \) and \( C \)
in the following graph from the options
given below:
Ref. image
Root mean square speed \( \left(V_{r m s}\right) ; \) most
probable speed \( \left(V_{m p}\right) ; \) Average speed
\( \left(V_{a v}\right) \)
A \( \cdot A-V_{m p} ; B-V_{a v} ; C-V_{r m s} \)
B . \( A-V_{m p} ; B-V_{r m s} ; C-V_{a v} \)
c. \( A-V_{a v} ; B-V_{r m s} ; C-V_{m p} \)
D. \( A-V_{r m s} ; B-V_{m p} ; C-V_{a v} \)
Subject: Chemistry
The ratio of density of the nucleus of \( _{47}^{108} \mathrm{Ag} \) assuming \( r_{n u c l e u s} \) is \( 1.3 A^{1 / 3} \times \)
\( 10^{-13} \mathrm{cm}, \) where \( A \) is mass number of
nucleus, with density of metallic silver \( 10.5 g c m^{3}, \) expressed in terms of \( \times 10^{13} \)
is:
Subject: Physics
A uniform disc of radius \( R \) is spinned to
the angular velocity \( \omega \) and then
carefully placed on a horizontal surface.
How long will the disc be rotating on the surface if the friction coefficient is
equal to \( k \) ? The pressure exerted by the
disc on the surface can be regarded as uniform.
\( \mathbf{A} \cdot_{t}=\frac{5 R \omega_{0}}{4 k g} \)
B. \( t=\frac{3 R \omega_{0}}{4 k g} \)
\( \mathbf{c} \cdot_{t}=\frac{3 R \omega_{0}}{8 k g} \)
D. None of these
Subject: Maths
If \( y=\cos ^{-1} \cos x, \) then \( \frac{d y}{d x} \) at \( x=\frac{5 \pi}{4} \)
A . 1
в. - 1
c. \( \frac{1}{\sqrt{2}} \)
D. \( \frac{5 \pi}{4} \)
Subject: Chemistry
The best reagent which can carry out this conversion is:
\[
\mathrm{ch}_{3} \frac{\mathrm{cH}_{3}}{\mathrm{C}-\mathrm{cH}_{2}-\mathrm{oH}} \frac{\mathrm{reagent}}{\mathrm{CH}_{3}} \mathrm{CH}_{3} \frac{\mathrm{CH}_{3}}{\mathrm{CH}_{3}}
\]
A. conc. \( H C l \)
в. \( H C l, Z n C l_{2} \)
\( c \cdot s O C l_{2} \)
D. aqueous KOH
Subject: Maths
A car driver knows four different
routes from Delhi to Amritsar. From
Amritsar to Pathankot, he knows three
different routes and from Pathankot to
Jammu he knows two different routes.
How many routes does he know from Delhi to Jammu?
A .4
B. 8
\( c \cdot 12 \)
\( D \cdot 24 \)
E. 36
Subject: Chemistry
Assertion
Competitive inhibitors compete with the natural substrate for their
attachment on the active sites of
enzymes.
Reason
In competitive inhibition, inhibitor binds to allosteric site of the enzyme.
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
A metal oxide has the formula \( X_{2} O_{3} \). It
can be reduced by hydrogen to give free
metal and water. \( 0.1596 g \) of metal oxide
requires \( 6 m g \) of hydrogen for complete
reduction. The atomic mass of metal in
amu is:
A . 15.58
B. 155.8
c. 5.58
D. 55.8
Subject: Physics
The image of an object, formed by a plano-convex lens at a distance of \( 8 m \) behind the lens, is real and is one-third
the size of the object. The wavelength of light inside the lens is \( \frac{2}{3} \) times the wavelength in free space. The radius of the curved surface of the lens is:
A . \( 1 \mathrm{m} \)
B. 2 \( m \)
\( c \cdot 3 m \)
D. \( 6 \mathrm{m} \)
Subject: Chemistry
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C N}+\mathbf{2 H}_{2} \stackrel{\boldsymbol{P d}}{\longrightarrow} \)
Which of the following compound is formed in the above reaction?
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C H_{2} N H_{2} \)
в. \( C H_{3} C H_{2} C H_{2} N H_{2} \)
c. \( C H_{3} C H_{2} C H_{2} C H_{2} C H_{2} N H_{2} \)
D. None of the above
Subject: Maths
If \( a, b, c \) are in A.P., then \( \frac{1}{\sqrt{b}+\sqrt{c}}, \frac{1}{\sqrt{c}+\sqrt{a}}, \frac{1}{\sqrt{a}+\sqrt{b}} \) are in
A. \( A . P \)
в. G.Р.
c. \( H . P \)
D. None of these
Subject: Chemistry
Nitrobenzene can be prepared by heating with a mixture of concentrated
\( H N O_{3} \) and concentrated \( H_{2} S O_{4} . \) In
this nitrating mixture, \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3}, \) acts as
A. A base
B. An acid
c. A catalys
D. A reducing agent
Subject: Maths
Let \( \boldsymbol{A}=\{\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{4}, \mathbf{5}, \mathbf{6}\} \) and let \( \boldsymbol{R}= \)
\( \{(a, b): a, b \in A \text { and } b=a+1\} . \) Show
that \( R \) is not reflexive.
Subject: Chemistry
Calculate the \( p H \) of a \( 0.033 \mathrm{M} \)
ammonia solution, if \( 0.033 \mathrm{M} N H_{4} C l \) is introduced in this solution at the same
temperature. \( \left(k_{b} \text { for } N H_{3}=1.77 \times\right. \)
\( \left.10^{-5}\right) \)
Subject: Maths
If \( |\overrightarrow{\boldsymbol{a}}|=\mathbf{5},|\overrightarrow{\boldsymbol{a}}-\overrightarrow{\boldsymbol{b}}|=\mathbf{8} \) and \( |\overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{b}}|= \)
\( \mathbf{1 0}, \) then \( |\overrightarrow{\boldsymbol{b}}| \) is equal to:
A .
в. \( \sqrt{57} \)
\( c \cdot 3 \)
D. 57
Subject: Maths
The coordinate that the chord \( x \cos \alpha+ \)
\( \boldsymbol{y} \sin \boldsymbol{\alpha}-\boldsymbol{p}=\mathbf{0} \) of \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}-\boldsymbol{a}^{2}=\mathbf{0} \) may
subtend a right angle at the centre of the circle is?
A \( \cdot a^{2}=2 p^{2} \)
B \( \cdot p^{2}=2 a^{2} \)
c. \( a=2 p \)
D. \( p=2 a \)
Subject: Chemistry
\[
\begin{array}{l}
\boldsymbol{8 H}^{+}+\mathbf{4 C l}^{-}+\boldsymbol{M n O}_{\boldsymbol{4}}^{-} \rightarrow \mathbf{2} \boldsymbol{C l}_{\mathbf{2}}+ \\
\boldsymbol{M n}^{\mathbf{2}+}+\mathbf{4} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O}
\end{array}
\]
Trial
\( \left[C l^{-}\right] \quad\left[M n O_{4}^{-}\right] \quad \) Rate
\( 0.0104 \quad 0.00800 \)
\[
2.25 \times
\]
0.0312 0.00800
03
10
.031
12 0.00400
\[
02 \times 1
\]
Based on the above information,
determine the overall rate law for the
reaction given that the reaction is third
order with respect to the hydrogen ion.
A \( . \) Rate \( =k\left[C l^{-}\right]^{2}\left[M n O_{4}^{-}\right]\left[H^{+}\right]^{3} \)
B. Rate\( =k\left[\mathrm{Cl}^{-}\right]^{2}\left[\mathrm{MnO}_{4}^{-}\right]^{3}\left[\mathrm{H}^{+}\right]^{3} \)
c. \( R a t e=k\left[C l^{-}\right]\left[M n O_{4}^{-}\right]^{3}\left[H^{+}\right]^{3} \)
D. Rate\( =k\left[C l^{-}\right]^{3}\left[M n O_{4}^{-}\right]\left[H^{+}\right]^{3} \)
Subject: Maths
Suppose \( \vec{V}_{1}=\hat{i}+\hat{j}-2 \hat{k}, \vec{V}_{2}=\hat{i}- \)
\( \mathbf{2} \hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \overrightarrow{\boldsymbol{V}}_{3}=-2 \hat{\boldsymbol{i}}+\boldsymbol{2} \hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) are three
vectors. Let \( \vec{V} \) be a vector such that it
can be expressed as a linear combination of \( \vec{V}_{1} \) and \( \vec{V}_{2} . \) Also \( \vec{V} \vec{V}_{3}= \)
0 and the projection of the vector \( \vec{V} \) on \( \hat{\boldsymbol{i}}-\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}} \) is \( \boldsymbol{6} \sqrt{\boldsymbol{3}} . \) If \( \overrightarrow{\boldsymbol{V}}=\boldsymbol{\lambda}(\hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}- \)
4 \( \hat{k} \) ) then find the absolute value of \( \lambda \)
Subject: Maths
Let \( \boldsymbol{f} \cdot \boldsymbol{R} \rightarrow \boldsymbol{R} \) be defined as \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cl}0, & x \text { is rational } \\ \sin |x|, & x \text { is rational }\end{array}\right. \)
Then which of the following is true?
A. \( f \) is discontinuous for all \( x \)
B. \( f \) is continuous for all \( x \)
c. \( f \) is discontinuous at \( x=k \pi \), where \( k \) is an integer
D. \( f \) is continuous at \( x=k \pi, \) where \( k \) is an integer
Subject: Chemistry
A compound containing \( C a, C, N \) and \( S \) was subjected to quantitative analysis and formula mass determination. A 0.25 g of this compound was mixed with \( N a_{2} C a C O_{3} \)
to convert all \( C a \) into 0.16 g \( C a C O_{3} . A \) \( 0.115 \mathrm{gm} \) sample of compound was carried through a series of reactions until all its \( S \) was changed into \( S O_{4}^{2-} \)
and precipitated as 0.344 g of \( B a S O_{4} . \) A 0.712 g sample was processed to liberated all of its \( N \) as \( N H_{3} \) and 0.155
g \( N H_{3} \) was obtained. The formula mass was found to be \( 156 . \) Determine
the empirical and molecular formula of the compound.
Subject: Maths
A particle moves from the point \( (2.0 \hat{i}+ \) \( 40 \hat{j}) m, \) at \( t=0, \) with an initial velocity \( (5.0 \hat{i}+4.0 \hat{j}) m s^{-1} . \) It is acted upon by a
constant force which produces a constant acceleration \( (4.0 \hat{i}+ \) \( 4.0 \hat{j}) m s^{-2} . \) What is the distance of the
particle from the origin at time \( 2 s ? \)
A \( .20 \sqrt{2} \mathrm{m} \)
B. \( 10 \sqrt{2} \mathrm{m} \)
\( c .5 \mathrm{m} \)
D. \( 15 \mathrm{m} \)
Subject: Maths
Total number of 6 -digit number in which
only and all the five digits 1,3,5,7 and 9 appear, is :
A \( \cdot \frac{1}{2}(6 !) \)
B. \( 5^{\text {f }} \)
c. \( \frac{5}{2}(6 !) \)
D. \( 6 ! \)
Subject: Physics
A triangular loop of side \( l \) carries a
current \( i . \) It is placed in a magnetic field B such that the plane of the loop is in
the direction of \( B \). The torque on the
loop is:
A . \( i \)Вᅵ
В \( \cdot i^{2} N l \)
\( ^{\mathrm{c}} \cdot \frac{\sqrt{3}}{4} B i l^{2} \)
D. infinity
Subject: Physics
Assertion
When super charged particles enter the earth's atmosphere from the solar wind, they spiral around the magnetic field lines of the earth.
Reason
They tend to be channelled toward the poles by magnetic forces.
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
The resultant of two vectors \( \vec{P} \) and \( \vec{Q} \) is
\( \vec{R} \). If the magnitude of \( \vec{Q} \) is doubled, the new resultant vector becomes
perpendicular to \( \vec{P} \). Then, the magnitude of \( \overrightarrow{\boldsymbol{R}} \) is equal to
\( A \cdot P+Q \)
в. \( P \)
c. \( P-Q \)
D. \( Q \)
Subject: Chemistry
Major product of above reaction:
A. \( C_{6} H_{5}-C H=C H-C O O H \)
в. \( C_{6} H_{5}- \) СООН
\( \mathrm{c} \cdot C_{6} H_{5}-C H=C H-C O O C H_{3} \)
\( \mathrm{D} \cdot C_{6} H_{5} C H_{2} C H O \)
Subject: Maths
The probability that in a group of \( N \)
people at least two will have the same birthday is
A \( \cdot_{1-\frac{(365) !}{(365)^{N}(365-N) !}} \)
В \( \cdot_{1+\frac{(365) !}{(365)^{N}(365-N) !}} \)
c. \( _{1-} \frac{(365) !}{(365)^{N}(365+N) !} \)
D. None of these
Subject: Maths
If \( \boldsymbol{f}(\boldsymbol{x}+\mathbf{2} \boldsymbol{y}, \boldsymbol{x}-\mathbf{2} \boldsymbol{y})=\boldsymbol{x} \boldsymbol{y}, \) then \( \boldsymbol{f}(\boldsymbol{x}, \boldsymbol{y}) \)
is equal to
A \( \cdot \frac{1}{4} x y \)
B. \( \frac{1}{4}\left(x^{2}-y^{2}\right) \)
c. \( \frac{1}{8}\left(x^{2}-y^{2}\right) \)
D. \( \frac{1}{2}\left(x^{2}+y^{2}\right) \)
Subject: Physics
Assertion
The bar magnet falling vertically along the axis of the horizontal coil will be
having acceleration less than \( \mathfrak{g} \)
Reason
Clockwise current induced in the coil.
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
Dimensional methods provide three major advantages in verification, derivation and changing the system of units. Any empirical formula that is derived based on this method has to be
verified and proportionality constants found by experimental means. The presence or absence of certain factors -
non dimensional constants or variables
cannot be identified by this method. So every dimensionally correct relation cannot be taken as perfectly correct.
The time period of oscillation of a drop
depends on surface tenson \( \sigma, \) density of
the liquid \( \rho, \) and radius \( r . \) The relation is
B. \( \sqrt{\frac{r^{2}}{\rho \sigma}} \)
c. \( \sqrt{\frac{r^{3} \rho}{\sigma}} \)
D. \( \sqrt{\frac{\rho \sigma}{r^{3}}} \)
Subject: Physics
A body of mass \( 5 k g \) undergoes a change in speed from 20 to \( 0.20 m / s . \) The momentum of the body would
A. Increase by \( 99 k g m / s \)
B. Decrease by \( 99 \mathrm{kgm} / \mathrm{s} \)
c. Increase by \( 101 \mathrm{kgm} / \mathrm{s} \)
D. Decrease by \( 101 \mathrm{kgm} / \mathrm{s} \)
Subject: Physics
Two resistances are connected in two
gaps of a metre bridge. The balance point is \( 20 \mathrm{cm} \) from the zero end. \( A \)
resistance of \( 15 \Omega \) is connected in series with the smaller of the two. The null
point shifts to \( 40 \mathrm{cm} . \) The value of the smaller resistance in ohms is.
A . 3
B. 6
c. 9
D. 12
Subject: Physics
Assertion
Ultraviolet radiations of higher
frequency waves are dangerous to human being
Reason
Ultraviolet radiation are absorbed by
the atmosphere
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 correct order of dipole moment is :
A. \( C H_{4}<N F_{3}<N H_{3}<H_{2} O \)
B. \( N F_{3}<C H_{4}<N H_{3}<H_{2} O \)
c. \( N H_{3}<N F_{3}<C H_{4}<H_{2} O \)
D. \( H_{2} O<N H_{3}<N F_{3}<C H_{4} \)