AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A body of weight \( 20 \mathrm{N} \) is on a horizontal surface, minimum force applied to pull it when applied force makes an angle
\( 60^{0} \) with horizontal (angle of friction a \( = \)
\( \mathbf{3 0}^{0} \) ) is:
A. 20 N
B. \( 20 \sqrt{3} \) N
c. \( \frac{20}{\sqrt{3}} \mathrm{N} \)
D. zero
Subject: Physics
A current \( I \) passes through a wire of length \( l \), radius \( r \) and resistivity \( \rho \). The
rate of heat generated is
\( ^{\text {A }} \cdot \frac{I^{2} \rho}{r} \)
в. \( \frac{I^{2} \rho l}{\pi r} \)
c. \( \frac{I^{2} \rho}{\pi r^{2}} \)
D. none of these
Subject: Physics
Two wires \( A \) and \( B \) of radius \( 2 r \) and \( r \)
respectively are joined and a force \( \boldsymbol{F} \) is
applied at the end. The length of each
wire is \( L . \) Their Youngs modulus are \( Y \)
and \( 2 Y \) respectively. Find the net elongation.
Subject: Chemistry
Assertion
\( F_{2} \) undergoes disproportionation
reaction.
Reason
Fluorine shows both positive and
negative oxidation states.
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
Let \( z \) and \( w \) be two non-zero
complex numbers such that \( |z|=|\boldsymbol{w}| \)
and \( \arg (z)+\arg (w)=\pi, \) then \( z \)
equals
A. \( -w \)
в. \( w \)
\( c \cdot \bar{w} \)
D. \( -\bar{w} \)
Subject: Biology
In which condition do the leaves of a
green plant respire?
\( \begin{array}{lll} & \text { bright light } & \text { darkness } \\ \mathrm{A} & \text { right } & \text { right } \\ \mathrm{B} & \text { right } & \text { wrong } \\ \mathrm{C} & \text { wrong } & \text { right } \\ \mathrm{D} & \text { wrong } & \text { right }\end{array} \)
Subject: Maths
GM of the numbers \( 3,3^{2}, 3^{3}, \ldots . ., 3^{n} \) is.
\( A \cdot 3^{2 / n} \)
B. \( 3^{n / 2} \)
\( c \cdot 3^{(n+1) / 2} \)
D. \( 3^{(n-1) / 2} \)
Subject: Maths
Factorize \( 25 a^{2}-9 b^{2} \)
A \( \cdot(5 a+b)(5 a-3 b) \)
B. \( (a+3 b)(5 a-3 b) \)
c. \( (5 a+3 b)(5 a-3 b) \)
D. \( (5 a-3 b)(5 a+3 b) \)
Subject: Physics
A \( 10 \mathrm{kg} \) object free-falling from a cliff.
Find out the velocity of the object after 1
sec and after 2 sec?
A. \( 9.8 \mathrm{m} / \mathrm{sec} \) after 1 sec and \( 19.6 \mathrm{m} / \mathrm{sec} \) after \( 2 \mathrm{sec} \)
B. \( 9.8 \mathrm{m} / \mathrm{sec} \) after 1 and \( 2 \mathrm{sec} \)
c. \( 9.8 \mathrm{m} / \mathrm{sec} \) after 1 sec and \( 29.4 \mathrm{m} / \mathrm{sec} \) after \( 2 \mathrm{sec} \)
D. \( 19.6 \mathrm{m} / \mathrm{sec} \) after \( 1 \mathrm{sec} \) and \( 29.4 \mathrm{m} / \mathrm{sec} \) after \( 2 \mathrm{sec} \)
E. Cannot determine with information provided
Subject: Physics
A liquid \( P \) if specific heat capacity
\( 2400 J k g^{-1} K^{-1} \) and \( a t 70^{\circ} C \) is mixed
with another liquid \( \mathrm{R} \) of specific heat capacity \( 1000 J k g^{-1} K^{-1} \) at \( 30^{\circ} C . \) After mixing, the final temperature of the
mixture is \( 40^{\circ} \mathrm{C} \). Find the ratio of the
mass of the liquids mixed?
A .4: 5
B. 8: 5
\( c \cdot 40: 5 \)
D. 48 : 5
Subject: Chemistry
In which compound oxygen atom take part in conjugation of phenol \( (\boldsymbol{P h}- \)
\( O H) \) and Benzyl alcohol \( \left(P h C H_{2} O H\right) ? \)
A \( . P h O H \)
в. \( P h C H_{2} O H \)
c. Both A and B
D. None of these
Subject: Maths
The Venn diagram shows the sets
\( \xi, P, Q \) and \( R . \) Which of the following is
not true?
\( \mathbf{A} \cdot P \cap Q \neq \emptyset \)
в. \( R \subset Q \)
\( \mathbf{c} \cdot(P \cap R) \subset Q \)
D. \( (P \cap Q)=R \)
Subject: Chemistry
Identify \( (A),(B) \) and \( (C) \)
\( \mathrm{Na}_{2} \mathrm{SO}_{4}+ \) carbon \( \longrightarrow(A) \frac{\mathrm{Na}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{5} \mathrm{NO}\right]}{\longrightarrow}(B) \) (purple)
\[
\mid \mathrm{CdCO}_{3}
\]
\( \mathbf{A} \cdot(A): N a_{2} S \)
(B) \( : N a_{2}\left[F e(N C)_{5} N O S\right] \)
\( (\mathrm{C}): \mathrm{CdO} \)
B. (A): \( N a O_{2} \)
(B): \( N a_{2}\left[F e(C N)_{5} N O S\right] \)
\( (\mathrm{C}): C d S \)
\( \mathbf{C} \cdot(A): N a_{2} S \)
(B): \( N a_{2}\left[F e(C N)_{5} N O S\right] \)
\( (\mathrm{C}): \mathrm{Cd} S \)
\( \mathbf{D} \cdot(\mathrm{A}): N a_{2} O \)
(В) : \( N a_{2}\left[F e(N C)_{5} N O S\right] \)
\( (\mathrm{C}): P b S \)
Subject: Chemistry
Which of the following alkenes is the most stable on account of maximum
hyperconjugation?
\( \mathbf{A} \cdot\left(C H_{3}\right)_{3} C C H=C H_{2} \)
в. \( C H_{3} C H=C H_{2} \)
c. \( \left(C H_{3}\right)_{2} C H C H=C H_{2} \)
D. \( C H_{4} C H_{2} C H=C H_{2} \)
Subject: Maths
Check the continuity of the following
function at \( ^{\prime} \mathbf{2}^{\prime} \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{cc}\frac{x^{2}-4}{2} i f & 0<x<2 \\ 0 \quad \text { if } x=2 & \\ 2-8 x^{-3} \text {if } x>2\end{array}\right. \)
Subject: Chemistry
Match the column:
\( \begin{array}{ll}\text { Column-I } & \text { Column-II } \\ \text { (a) }\left[A g\left(N H_{3}\right)_{2}\right]^{+} & \text {(p) Octahedral } \\ \text { (b) }\left[C u\left(N H_{3}\right)_{4}\right]^{2+} & \text { (q) Tetrahedral } \\ \text { (c) }\left[C r\left(H_{2} O\right)_{6}\right]^{2+} & \text { (r) Trigonal bipyramidal } \\ \text { (d) }\left[F e(C O)_{5}\right] & \text { (s) Square planar } \\ & \text { (t) Linear }\end{array} \)
\( A \)
\( (a) t ;(b) s ;(c) p ;(d) r \)
\( \mathbf{B} \cdot(\mathbf{a}) \mathbf{t} \)
\( ;(b) s ;(c) r ;(d) p \)
\( c \cdot(a) t ;(b) q ;(c) r ;(d) p \)
\( \mathbf{D} \cdot(a) q_{i}(b) s_{j} \)
\( (\mathrm{c}) \mathrm{p} \) (d)
Subject: Physics
The length, breadth and thickness of a
rectangular lamina are \( 1.024 m, 0.56 m \)
and 0.0031 m. The volume, in \( m^{3}, \) is:
A \( .1 .8 \times 10^{-3} \)
В. \( 1.80 \times 10^{-3} \)
c. \( 0.180 \times 10^{-4} \)
D. 0.00177
Subject: Biology
Farmers in a particular region were
concerned that premature yellowing of leaves of a pulse crop might cause decrease in the yield. Which treatment could be most beneficial to obtain
maximum seed yield?
A. Removal of all yellow leaves and spraying the remaining green leaves with 2,4,5 - trichlorophenoxy acetic acid
B. Application of iron and magnesium to promote synthesis of chlorophyll.
c. Frequent irrigaion of the crop
D. Treatment of the plants with cytokinins along with a small dose of nitrogenous fertilizer.
Subject: Physics
Assertion
For the planets orbiting around the sun, angular speed, linear speed and K.E. changes with time, but angular
momentum remains constant.
Reason
No torque is acting on the rotating planet. So its angular momentum is
constant.
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: Maths
The set of values of a for which the
equation \( \sin x(\sin x+\cos x)=a \) has
real solutions is
A \( \cdot[1-\sqrt{2}, 1+\sqrt{2}] \)
B. \( [2-\sqrt{3}, 2+\sqrt{3} \)
D. \( \left[\frac{1-\sqrt{2}}{2}, \frac{1+\sqrt{2}}{2}\right] \)
Subject: Chemistry
A \( 1.0 k g \) bar of copper is heated at atmospheric pressure \( (1.01 \times \) \( \left.10^{5} N / m^{2}\right) . \) If its temperature
increases from \( 20^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \), the
change in its internal energy is \( 2322 p \) in \( J \) ). What is the value of p? \( \alpha= \) \( \mathbf{7 . 0} \times \mathbf{1 0}^{-\mathbf{6}} /^{o} \boldsymbol{C}, \boldsymbol{\rho}=\mathbf{8 . 9 2} \times \)
\( 10^{3} k g / m^{3} \) and \( , c=387 J / k g^{o} C \)
Subject: Chemistry
\( H_{2} O_{2} \) restores the colour of old lead
paintings, blackened by the action of
\( H_{2} S \) gas by:
A . converting \( P b O_{2} \) to \( P b \)
B. by oxidising \( P b S \) to \( P b S O_{4} \)
C. converting \( P b C O_{3} \) to \( P b \)
D. oxidising \( P b S O_{3} \) to \( P b S O_{4} \)
Subject: Maths
If \( \boldsymbol{L} \boldsymbol{M} \| \boldsymbol{Q} \boldsymbol{R}, \frac{\boldsymbol{P} \boldsymbol{L}}{\boldsymbol{L} \boldsymbol{Q}}=\frac{\boldsymbol{3}}{\mathbf{5}}, \boldsymbol{P} \boldsymbol{R}=\mathbf{5 . 6} \boldsymbol{c m} \)
then \( P M \) is
A \( .2 .4 \mathrm{cm} \)
B. 2.3 ст
\( c .2 .1 \mathrm{cm} \)
D. 2.2 cm
Subject: Physics
A hair dresser stands with her nose 20
\( \mathrm{cm} \) infront of a plane mirror for what distance must she focus her eyes in
order to see her nose in the mirror?
A . \( 40 \mathrm{cm} \)
B. \( 50 \mathrm{cm} \)
c. \( 30 \mathrm{cm} \)
D. \( 60 \mathrm{cm} \)
Subject: Maths
Sum of the series
\( \boldsymbol{S}=\mathbf{1}+\frac{\mathbf{1}}{\mathbf{2}}(\mathbf{1}+\mathbf{2})+\frac{\mathbf{1}}{\mathbf{3}}(\mathbf{1}+\mathbf{2}+\mathbf{3})+ \)
\( \frac{1}{4}(1+2+3+4)+\ldots \) upto 20 terms is
A. 110.5
B. 111.5
c. 115.5
D. 116.5
Subject: Physics
Assertion
Angular speed of a planet around the sun increases, when it is closer to the
sun.
Reason
Total angular momentum of the system
remains constant.
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 equation of the tangent to the curve \( y=x+\frac{4}{x^{2}}, \) that is parallel to the \( x- \)
axis, is
\( \mathbf{A} \cdot \mathbf{y}=1 \)
В. \( \mathrm{y}=2 \)
\( \mathbf{c} \cdot \mathbf{y}=3 \)
D. \( \mathrm{y}=0 \)
Subject: Maths
Let a function \( \boldsymbol{f}:[\mathbf{0}, \mathbf{5}] \rightarrow \boldsymbol{R} \) be
continuous, \( \boldsymbol{f}(1)=\boldsymbol{3} \) and \( \boldsymbol{F} \) be defined
as:
\( \boldsymbol{F}(\boldsymbol{x})=\int_{1}^{x} \boldsymbol{t}^{2} \boldsymbol{g}(\boldsymbol{t}) \boldsymbol{d} t, \) where \( \boldsymbol{g}(\boldsymbol{t})= \)
\( \int_{1}^{t} \boldsymbol{f}(\boldsymbol{u}) \boldsymbol{d} \boldsymbol{u} \)
Then for the function \( F \) the point \( x=1 \)
is
A. a point of local minima
B. a point of local maxima
c. not a critical point
D. a point of inflection
Subject: Physics
Draw Fig.16.6 showing the position of
the plane mirror. What is correct?
A. \( x= \) angle of incidence and \( y= \) angle of reflection
B. \( y= \) angle of incidence and \( y= \) angle of reflection
c. \( x \) and \( y \) are both angle of incidence.
D. \( x \) and \( y \) are both angle of reflection.
Subject: Biology
Three water samples namely river water, untreated sewage water and secondary effluent discharged from a sewage treatment plant were subjected to BOD test. The samples were labelled
\( A, B \) and \( C ; \) but the laboratory attendant did not note which was which. The BOD
values of the three samples \( A, B \) and \( C \) were recorded as \( 20 m g / L, 8 m g / L \) and \( 400 m g / L, \) respectively. Which sample
of the water is most polluted? Can you assign the correct label to each assuming the river water is relatively clean?
Subject: Chemistry
In the process \( I_{2}+I^{-} \rightleftharpoons I_{3}^{-}( \) in aq
medium) intially there are 2 mole \( I_{2} \) and 2 mole I.But at equilibrium, due to
addition of \( A g N O_{3(a q)}, 1.75 \) mole of yellow ppt is obtained. \( K_{c} \) for the
process is \( \left(V_{\text {flask}}=1 d m^{3}\right) \) nearly
A. 0.08
B. 0.02
c. 0.16
D. 0.12
Subject: Physics
A particle moves according to the equation \( \boldsymbol{x}=\boldsymbol{a} \sin ^{2}\left(\boldsymbol{\omega} \boldsymbol{t}-\frac{\boldsymbol{\pi}}{\boldsymbol{4}}\right) . \) Find the
amplitude and frequency of oscillations
\( \mathbf{A} \cdot a, \omega \)
в. \( \frac{a}{2}, \omega \)
c. \( \frac{a}{2}, \frac{\omega}{2} \)
D. \( \frac{a}{2}, 2 \omega \)
Subject: Physics
Let \( Q \) denote the charge on the plate of a
capacitor of capacitance \( C . \) The dimensional formula for \( \frac{Q^{2}}{C} \) is
\( \mathbf{B} \cdot\left[L M T^{2}\right] \)
\( \mathbf{c} \cdot\left[L^{2} M T^{-2}\right] \)
D \( \cdot\left[L^{2} M^{2} T^{2}\right] \)
Subject: Maths
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are \( 14 \mathrm{cm}, 10 \mathrm{cm} \) and \( 6 \mathrm{cm} \)

The area of the triangle is \( 300 \sqrt{m} \mathrm{cm}^{2} \)
where \( m \) is
Subject: Maths
Anagrams are made by using the letters
of the word \( ^{\prime} \boldsymbol{H} \boldsymbol{I} \boldsymbol{N} \boldsymbol{D} \boldsymbol{U} \boldsymbol{S} \boldsymbol{T} \boldsymbol{A} \boldsymbol{N}^{\prime} \) In how
many of these anagrams do the vowels
and consonants occupy the same relative positions as in
IHINDUST \( \boldsymbol{A} \boldsymbol{N}^{\prime} \)
Subject: Chemistry
Match the refining methods (Column I) with metals (Column II)
\( \begin{array}{ll}\text { Column I } & \text { Column } \\ \text { (Refining } & \text { II } \\ \text { methods) } & \text { (Metals) }\end{array} \)
(I) Liquation
(a) \( z \)
(II) zone Refining (b) \( N \)
(III) Mond Process (c) sn
(IV) Van Arkel Method (年) (d) Ga
\( A \)
\( (1)-(b) ;(11)-(c) ;(111)-(d) ;(11)-(a) \)
B. (1) - (b); (II) - (d); (III) - (a); (IV) - (c)
\( c \cdot(1)-(c) ;(11)-(a) ;(111)-(b) ;(11)-(d) \)
Subject: Chemistry
For \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4} \) the correct
choice is:
A \( \cdot H_{3} P O_{3} \) is dibasic and reducing
B. \( H_{3} P O_{3} \) is dibasic and non-reducing
\( \mathrm{c} \cdot H_{3} P O_{4} \) is tribasic and reducing
D. \( H_{3} P O_{3} \) is tribasic and non-reducing
Subject: Chemistry
Arrange the following in increasing order of boiling points.
¡) \( \left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C H} \boldsymbol{C H}_{2} \boldsymbol{I} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C l} \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{I} \)
Subject: Chemistry
Through a solution of \( C u S O_{4}, \) a current
of 3 amperes was passed for 2 hours. At cathode, \( 3 g \) of \( C u^{2+} \) ions were discharged. The current efficiency is :
[At. wt. of \( \boldsymbol{C u}=\mathbf{6 3 . 5} \) ]
A . \( 33.3 \% \)
B . \( 42.2 \% \) \%
c. \( 48.7 \% \)
D . 54.4 \%
Subject: Physics
The current and voltage functions in an AC circuit are \( i=100 \sin 100 t m A \)
\( \boldsymbol{V}=\mathbf{1 0 0} \sin \left(\mathbf{1 0 0 t}+\frac{\boldsymbol{\pi}}{\mathbf{3}}\right) \boldsymbol{V} \) The power
dissipated in the circuit is
\( A \cdot 10 w \)
B. 2.5 \( w \)
\( c \cdot 5 w \)
\( D \cdot 5 \mathrm{kW} \)
Subject: Chemistry
What is the maximum \( p H \) of \( 0.10 M \)
solution in \( M g^{2+} \) from which
\( M g(O H)_{2} \) will not precipitate. Given :
\( \boldsymbol{K}_{s p}\left(\boldsymbol{M} \boldsymbol{g}(\boldsymbol{O} \boldsymbol{H})_{2}\right)=\mathbf{1 . 2} \times \mathbf{1 0}^{-11} \)
Subject: Physics
On a foggy day, two drivers spot in front of each other when 80 metre apart. They
were traveling at \( 70 \mathrm{kmph} \) and \( 60 \mathrm{kmph} \) Both apply brakes simultaneously which retard the cars at the rate
\( 5\left[\boldsymbol{m} / \boldsymbol{s}^{2}\right] \) Which of the following statements is correct?
A. The collision will be averted
B. The collision will take place
c. They will across each other
D. They will just collide
Subject: Maths
If the simple interest on a certain sum of money for 15 months at \( 7 \frac{1}{2} \% \) p.a. exceeds the simple interest on the same sum for 8 months at \( 12 \frac{1}{2} \% \) p.a. by
Rs. \( 32.50, \) the sum is
A. Rs. 3750
B. Rs. 3520
c. Rs. 3120
D. Rs. 3010
Subject: Maths
If the area (in sq. units) bounded by the parabola \( y^{2}=4 \lambda x \) and the line \( y= \) \( \lambda x, \lambda>0, \) is \( \frac{1}{9}, \) then \( \lambda \) is equal to
A .24
B . 48
\( c \cdot 4 \sqrt{3} \)
D. \( 2 \sqrt{6} \)
Subject: Physics
Assertion
An alternative definition of a reversible
process is a process that, after it has
taken place, can be reversed and, when
reversed, causes no change in either the
system or its surroundings.
Reason
By making no changes to system or surrounding we make sure that no no change in entropy has taken place.
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
Ten identical batteries each of emf 2 V
are connected in series to a \( 8 \Omega \) resistor.
If the current in the circuit is 2 A, then
the internal resistance of each battery is
A . \( 0.2 \Omega \)
В. \( 0.3 \Omega \)
\( c .0 .4 \Omega \)
D. \( 0.5 \Omega \)
E . \( 1 \Omega \)
Subject: Chemistry
Explain the type hybridisation, magnetic property and geometry for
\( \left[\boldsymbol{N} \boldsymbol{i}(\boldsymbol{C} \boldsymbol{N})_{4}\right]^{2-} \) and \( \left[\boldsymbol{N} \boldsymbol{i}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]^{2+} \) using
VB theory.
Subject: Physics
Sound waves from a tuning fork \( \boldsymbol{F} \) reach
a point \( \boldsymbol{P} \) by two separate routes \( \boldsymbol{F} \boldsymbol{A} \boldsymbol{P} \)
and \( F B P . F B P \) is \( 12 \mathrm{cm} \) larger than
FAP.There is silence at \( P \). If the
separation becomes \( 2 \mathrm{cm} \), the sound
becomes maximum at \( P \) and at \( 36 c m \)
there is again silence and so on. The least frequency of tuning fork is
A . 1357 Hz
в. 1735 нz
c. \( 1375 \mathrm{Hz} \)
D. 1400 нz
Subject: Physics
The wave fronts of light wave traveling in vacuum are given by \( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=\boldsymbol{c} \)
The angle made by the light ray with the X-axis is:
A \( \cdot 0^{\circ} \)
B . \( 45^{\circ} \)
\( c \cdot 90^{\circ} \)
D. \( \cos ^{-1} \frac{1}{\sqrt{3}} \)
Subject: Chemistry
Which of the following does has no \( S- \)
\( \boldsymbol{S} \) bond?
A \( \cdot H_{2} S_{2} O_{4} \)
в. \( H_{2} S_{2} O_{5} \)
\( \mathbf{c} \cdot H_{2} S_{2} O_{6} \)
D. \( H_{2} S_{2} O_{7} \)
Subject: Maths
If \( \int_{0}^{1} \cot ^{-1}\left(1-x+x^{2}\right) d x= \)
\( \lambda \int_{0}^{1} \tan ^{-1} x d x, \) then \( \lambda \) is equal to
\( A \)
B. 2
\( c .3 \)
\( D \)
Subject: Physics
In scenario \( 1, \) a person pulls with a force \( F \) on a string of length \( 2 d \) that is connected to a spring scale. The other end of the spring scale is connected to a post by a string of length d. In scenario
2, the person pulls on the string of length \( 2 d \) with a force of \( F, \) and \( a \) second person stands where the post was in scenario \( 1, \) and also pulls with a force of \( F \). If the spring scale reads 50 N in scenario \( 1, \) what does the spring scale read in scenario \( 2 ? \)
A. \( 50 \mathrm{N} \)
B. 67
c. \( 100 \mathrm{N} \)
D. 133 N
E. \( 150 \mathrm{N} \)
Subject: Physics
A narrow monochromatic beam of light
of intensity \( I \) is incident on a glass plate as shown in figure. Another identical glass plate is kept close to the first one and parallel to it. Each glass plate reflects \( 25 \% \) of the light incident on it and transmits the remaining. Find the ratio \( \sqrt{\frac{\boldsymbol{I}_{m a x}}{\boldsymbol{I}_{m i n}}} \) the interference
pattern formed by two beams obtained after one reflection at each plate.
Subject: Physics
Light from the sun strikes the concave
mirror pictured below. The image of the
sun is formed at the point indicated.
When we place an object closer to the
mirror than this point, what are the
characteristic of the image formed
(Size is compared to object)?
A. Larger, real, inverted
B. Smaller, real, inverted
c. Smaller, virtual, upright
D. Larger, virtual, upright
E. No image is formed
Subject: Chemistry
The reaction is given below, the rate constant for disappearance of A is
\( 7.48 \times 10^{-3} \)sec\( ^{-1} \). The time required for
the total pressure in a system containing \( A \) at an initial pressure of 0.1
atm to rise to 0.145 atm is:
\( \mathbf{2} \boldsymbol{A}(\boldsymbol{g}) \rightarrow \mathbf{4} \boldsymbol{B}(\boldsymbol{g})+\boldsymbol{C}(\boldsymbol{g}) \)
A. 0.80 min
B. 0.567 min
c. 0.433 min
D. 0.344 min
Subject: Physics
Assertion
Collision between two billiard's ball are
inelastic.
Reason
Momentum remains conserve during
the collision.
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
Which of the following statements
relationships is correct?
\( \mathbf{A} \cdot K_{P}=K_{C} \) for \( N_{2}+O_{2} \rightleftharpoons 2 N O \)
B. \( Q_{P}>K_{C} \) corresponds to backward reaction
C \( . K_{P} \) is not defined for \( C H_{3} C O O C H_{3}+H_{2} O \rightleftharpoons \)
\( C H_{3} C O O H+C H_{3} O H \)
D. \( K_{s p}=4 s^{-1} \) (for salt like \( C a F_{2} \) ) is applicable even in an \( H F \) solution
Subject: Physics
A steel bar \( A B C D 40 c m \) long is made
up of three parts \( A B, B C \) and \( C D, \) as
shown in the figure The rod is subjected
to a pull of \( 25 k N . \) The total extension of
the rod is (Young's modulus for steel
\( 2 \times 10^{11} N m^{-2} \)
\( \mathbf{A} \cdot 0.0637 m m \)
B. \( 0.0647 \mathrm{mm} \)
c. \( 0.0657 m m \)
D. \( 0.0667 m m \)
Subject: Physics
A double-slit arrangement produces interference fringes for sodium light \( (\lambda=589 n m) \) that hae an angular
separation of \( 3.50 \times 0^{-3} \)rad. For what
wavelength would the angular separation be \( 10 \% \) greater?
\( \mathbf{A} .527 n m \)
B. \( 648 n m \)
\( \mathrm{c} .722 \mathrm{nm} \)
D. \( 449 n m \)
Subject: Chemistry
An organic compound with the
molecular formula \( C_{8} H_{8} O \) forms \( 2,4- \)
DN P derivative, reduces Tollen's
reagent and undergoes Cannizzaro reaction. On vigorous oxidation, it gives
1, 2-benzenedicarboxylic acid. The organic compounds is
A. 2 -ethylbenzaldehyde
B. 2-methylbenzaldehyde
c. acetophenone
D. 3-methylbenzaldehyde
E. henylacetaldehyde
Subject: Maths
If \( \boldsymbol{A}=\operatorname{diag}(\mathbf{2}-\mathbf{5} \mathbf{9}), \boldsymbol{B}=\operatorname{diag}(\mathbf{1} \mathbf{1}- \)
4) and \( C=\operatorname{diag}(-634), \) then find \( \mathbf{2} \boldsymbol{A}+\mathbf{3} \boldsymbol{B}-\mathbf{5} \boldsymbol{C} \)
Subject: Physics
The potential energy of a particle of mass m free to move along x-axis is given by \( U=\frac{1}{2} k x^{2} \) for \( x<0 \) and \( U=0 \)
for \( \boldsymbol{x} \geq \mathbf{0} \) (x denotes the x-coordinate of
the particle and \( k \) is a positive constant). If the total mechanical
energy of the particle is \( \mathrm{E} \), then its \( \operatorname{speed} \operatorname{at} x=-\sqrt{\frac{2 E}{k}} \) is :
A. zero
B. \( \sqrt{\frac{2 E}{m}} \)
c. \( \sqrt{\frac{E}{m}} \)
D. \( \sqrt{\frac{E}{2 m}} \)
Subject: Maths
\( \int \frac{1}{7} \sin \left(\frac{x}{7}+10\right) d x \) is equal to
\( ^{\mathrm{A}} \cdot \frac{1}{7}^{\cos }\left(\frac{x}{7}+10\right)+C \)
B \( \cdot-\frac{1}{7} \cos \left(\frac{x}{7}+10\right)+C \)
\( ^{\mathbf{c}}-\cos \left(\frac{x}{7}+10\right)+C \)
D \( -7 \cos \left(\frac{x}{7}+10\right)+C \)
E \( \cdot \cos (x+70)+C \)
Subject: Maths
Q Type your question_
expenditure of 200 families of a village.
Find the modal monthly expenditure of
the families. Also, find the mean
monthly expenditure:
\begin{tabular}{ll} 
Expenditure (in Rs.) & No. of families \\
\( 1000-1500 \) & 24 \\
\( 1500-2000 \) & 40 \\
\( 2000-2500 \) & 33 \\
\( 2500-3000 \) & 28 \\
\( 3500-4000 \) & 22 \\
\( 4000-4500 \) & 16 \\
\( 4500-5000 \) & 7 \\
\hline
\end{tabular}
A. 2662.5
B . 2642.5
c. 2600.5
D. 2505.5
Subject: Maths
The absolute value of middle term in the
expansion of \( \left(1-\frac{1}{x}\right)^{n} \cdot(1-x)^{n} \) is
A \( \cdot 2^{n} \mathrm{C}_{n} \)
B. - \( ^{2 n} \mathrm{C}_{n} \)
\( \mathbf{c} \cdot-^{2 n} \mathbf{C}_{n-1} \)
D. none of these