AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Biology
Match the following and choose the
correct combination from the options
given.
\( \begin{array}{llll} & \text { Column-I } & & \text { Column-II } \\ \text { A. } & \begin{array}{l}\text { Walter } \\ \text { Sutton }\end{array} & \text { 1. } & \begin{array}{l}\text { Discovered } \\ \text { penicillin }\end{array} \\ \text { B. } & \begin{array}{l}\text { Thomas } \\ \text { Hunt }\end{array} & \text { 2. } & \begin{array}{l}\text { Discovered the } \\ \text { chromosomal } \\ \text { basis of heredity }\end{array} \\ \text { D. } & \begin{array}{l}\text { James } \\ \text { Watson }\end{array} & \text { 3. } & \begin{array}{l}\text { Described the } \\ \text { phenomenon of } \\ \text { linkage and } \\ \text { crossing over }\end{array} \\ & \text { Morgan } & & \begin{array}{l}\text { Discovered the } \\ \text { double helical } \\ \text { structure of DNA }\end{array}\end{array} \)
A. A-1, B-4, C- 2, D-3
B. A- 2, B-3, C-1, D-4
C. \( A-3, B-2, C-1, D-4 \)
D. A- 2, B-3, C-4,D-1
E. A- 4, B-1, C-2,
\( D \)
Subject: Maths
Consider the following in respect of the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}2+\boldsymbol{x}, & \boldsymbol{x} \geq 0 \\ 2-\boldsymbol{x}, & \boldsymbol{x}<0\end{array}\right. \)
1. \( \lim _{x \rightarrow 1} f(x) \) does not exist.
2. \( f(x) \) is differentiable \( a t x=0 \)
3. \( f(x) \) is continuous at \( x=0 \)
Which of the above statements is/are
correct?
A. 1 only
B. 3 only
c. 2 and 3 only
D. 1 and 3 only
Subject: Physics
In the given arrangement, mass of the block is \( \mathrm{M} \) and the surface on which the
block is placed is smooth. Assume all pulleys to be massless and frictionless,
strings to be inelastic and light, \( \boldsymbol{R}_{1}, \boldsymbol{R}_{2} \)
and \( R_{3} \) to be light supporting rods. The
acceleration of point \( \mathrm{P} \) will be (A is fixed) :
\( A \cdot O \)
B. \( \infty \)
c. \( \frac{4 F}{M} \)
D. \( \frac{2 F}{M} \)
Subject: Physics
When \( 0.4 \mathrm{kg} \) of brass at \( 100^{\circ} \mathrm{C} \) is
dropped into \( 1 \mathrm{kg} \) of water at \( 20^{\circ} \mathrm{C} \), the
final temperature is \( 23^{\circ} \mathrm{C} \). Find the
specific heat of brass.
\( \mathbf{A} \cdot 307 J k g^{-1}^{o} C^{-1} \)
В. 407 Jkg\( ^{-1} \) о \( C^{-1} \)
c. \( 507 J k g^{-1} \circ C^{-1} \)
D. 607 Jkg\( ^{-1} \) o \( C^{-1} \)
Subject: Chemistry
Number of moles of \( \boldsymbol{K}_{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7} \) reduced
by one mole of \( S n^{2+} \) ions is :
A \( \cdot \frac{1}{3} \)
B. 3
\( c \cdot \frac{1}{6} \)
D. 6
Subject: Physics
Statement 1: Geostationary satellites may be setup in equatorial plane in orbits of any radius more than earth's
radius.

Statement 2: Geostationary satellites have period of revolution of 24 hrs.
A. Statement-1 is True, Statement-2 is True; Statement- is a correct explanation for Statement-
B. Statement-1 is True, Statement-2 is True; Statementis NOT a correct explanation for Statement-
c. Statement- 1 is True, Statement- 2 is False
D. Statement-1 is False, Statement-2 is True
Subject: Chemistry
IUPAC name of \( \boldsymbol{C}_{\mathbf{6}} \boldsymbol{H}_{\mathbf{5}}-\boldsymbol{C} \boldsymbol{H}_{\mathbf{2}}- \)
\( \boldsymbol{C H}_{2}-\boldsymbol{N H}_{2} \) is :
A. 2-phenyl ethanamide
B. 2-phenyl ethanamine
c. 2-phenyl ethylamine
D. 3-phenyl ethanamine
Subject: Physics
The escape velocity for the earth is 11.2 \( \mathrm{km} / \mathrm{s} . \) The mass of another planet 100 times mass of earth and its radius is 4
times radius of the earth. The escape
velocity for the planet is
\( A \cdot 280 \mathrm{km} / \mathrm{s} \)
в. 56.0 km/s
c. \( 112 \mathrm{km} / \mathrm{s} \)
D. 24 km/s
Subject: Chemistry
Which one of the following structures
represents the neoprene polymer?
A. \( \operatorname{tg}_{C H}-C H_{2} \tan \)
\( _{C_{B 5}} H_{B} \)
\( \mathbf{B} \cdot\left(C H_{2}-C H=\underset{C l}{C}-C H_{2}\right)_{T} \)
\( c \)
\( D \)
Subject: Chemistry
Silver ore \( +\boldsymbol{C N}^{-}+\boldsymbol{H}_{2} \boldsymbol{O} \stackrel{\boldsymbol{O}_{2}}{\longrightarrow}[\boldsymbol{P}]+ \)
\( \boldsymbol{O} \boldsymbol{H}^{-} \)
\[
\begin{array}{c}
\downarrow \boldsymbol{Z} \boldsymbol{n} \\
{[\boldsymbol{Q}]+\boldsymbol{A} \boldsymbol{g}}
\end{array}
\]
In the process of extraction of silver, identify the complexes [P] and [Q].
A \( \cdot P=\left[A g(C N)_{4}\right]^{-}, Q=\left[Z n(C N)_{4}\right]^{2} \)
B . \( P=\left[A g(C N)_{4}\right]^{-}, Q=\left[Z n(C N)_{6}\right]^{4} \)
c. \( P=\left[A g(C N)_{4}\right]^{3-}, Q=\left[Z n(C N)_{4}\right]^{2} \)
D . \( P=\left[A g(C N)_{2}\right]^{-}, Q=\left[Z n(C N)_{4}\right]^{2} \)
Subject: Chemistry
Calculate the amount of \( C a C l_{2} \) (molar
mass \( =111 \mathrm{g} / \mathrm{mol} \) ) which must be added to \( 580 g \) of water so that freezing point
lower by \( 2 \mathrm{K}, \) assuming \( \mathrm{CaCl}_{2} \) is completely dissociated:
\( \left[K_{f} \text { for water }=1.86 \mathrm{K} \mathrm{kg} / \mathrm{mol}\right] \)
Subject: Chemistry
What is correct order of size in each
pair given below?
\( N b^{3+} \) and \( T a^{3+} \)
A. \( N b^{3+}=T a^{3+} \)
B . \( N b^{3+}<T a^{3+} \)
\( \mathbf{c} \cdot N b^{3+}>T a^{3} \)
D. None of these
Subject: Physics
An \( L C \) circuit contains a 20 m \( H \)
inductor and a \( 50 \mu F \) capacitor with an
initial charge of 10 mC.The resistance
of the circuit is negligible. Let the instant circuit is closed be at \( t=0 \)
What is the total energy stored initial? Is it conserved during the \( L C \) oscillations?
A. \( 0.01 \mathrm{J} \), yes
B. \( 0.1 \mathrm{J} \), yes
c. 1 J, yes
D. 2 J, yes
Subject: Maths
The function \( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}}{\mathbf{1}+|\boldsymbol{x}|} \) is
differentiable at which of the following?
A. Everywhere
B. Everywhere except at \( x=1 \)
c. Everywhere except at \( x=0 \)
D. Everywhere except at \( x=0 \) or 1
Subject: Maths
If \( f(x)=x^{3}-10 x^{2}+200 x-10, \) then
\( (x) \) is
A. decreasing \( (-\infty, 10] \) and increasing in \( (10, \infty) \)
B. increasing \( (-\infty, 10] \) and decreasing in \( (10, \infty) \)
c. increasing for every value of \( x \)
D. decreasing for every value of \( x \)
Subject: Maths
\( \operatorname{Let} \sqrt{x}+\sqrt{x+\sqrt{x+\ldots \ldots \infty}} \) then
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
A. \( \frac{1}{2 y-1} \)
в. \( \frac{x}{x+2 y} \)
c. \( \frac{1}{\sqrt{1+4 x}} \)
D. \( \frac{y}{2 x+y} \)
Subject: Chemistry
Assertion
The numerical value of \( \frac{1}{n} \) in Freundlich adsorption isotherm, \( \frac{x}{m}=K(P)^{1 / n} \) at
saturation pressure is zero.
Reason
At saturation pressure, the amount adsorbed per unit volume does not change with increase in pressure.
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
In a series LCR circuit \( \mathrm{R}=4 \Omega, \mathrm{XL}=5 \Omega \) and
\( X_{C}=8 \Omega, \) the current
A. leads the voltage by \( \tan ^{-1}(3 / 4) \)
B. leads the voltage by tan \( ^{-1}(5 / 8) \)
C . leads the voltage by tan \( ^{-1}(3 / 5) \)
D. leads the voltage by \( \tan ^{-1}(5 / 9) \)
Subject: Physics
At a given instant of time the position vector of a particle moving in a circle with a velocity \( 3 \hat{i}-4 \hat{j}+5 \hat{k} \) is \( \hat{i}+9 \hat{j}- \)
8 \( \hat{k} \). It's angular velocity at that time is
A \( \cdot \frac{(13 \hat{i}-29 \hat{j}-31 \hat{k})}{\sqrt{146}} \)
B. \( \frac{(13 \hat{i}-29 \hat{j}-31 \hat{k})}{146} \)
\( \frac{(13 \hat{i}+29 \hat{j}-31 \hat{k})}{\sqrt{146}} \)
D. \( \frac{(13 \hat{i}+29 \hat{j}+31 \hat{k})}{146} \)
Subject: Chemistry
Which are correct regarding stability of
solution?
This question has multiple correct options
A. Lyophilic solutions are stabilised due to a layer of solvent round solution particles.
B. Lyophobic solutions are stabilised due to presence of charge.
C. Addition of Iyophilic brings in more stability to Iyophobic.
D. Addition of Iyophobic brings in more stability to Iyophillic.
Subject: Maths
Solve:
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x}+\boldsymbol{y}+\mathbf{1}}{\boldsymbol{x}+\boldsymbol{y}-\mathbf{1}} \) when \( \boldsymbol{y}=\frac{\mathbf{1}}{\mathbf{3}} \) at \( \boldsymbol{x}=\frac{\mathbf{2}}{\mathbf{3}} \)
Subject: Physics
Two blocks \( A \) and \( B \) of mass \( m_{A}=10 k g \)
and \( m_{B}=20 k g \) are place on rough
horizontal surface. The blocks are
connected with a string. If the coefficient of friction between block \( A \)
and ground is \( \mu_{A}=0.9 \) and between
block B and ground is \( \mu_{B}=0.3, \) find the
tension in the string in situation as
shown in Fig. Forces \( 120 \mathrm{N} \) and \( 100 \mathrm{N} \)
start acting when system is at rest?
Subject: Chemistry
In the following equilibrium \( N_{2} O_{4(g)} \rightleftharpoons \) \( \mathbf{2} N \boldsymbol{O}_{2(\boldsymbol{g})} \boldsymbol{N} \boldsymbol{O}_{2(g)} \) is \( \mathbf{5 0 1 \%} \) of the total
volume. hence degree of dissociation and vant hoff factor (i) respectively are:
A. 0.5,1.5
B. 0.25,1.25
c. 0.33,1.33
D. 0.66,1.66
Subject: Maths
If \( x e^{x y}+y e^{-x y}=\sin ^{2} x, \) then \( \frac{d y}{d x} \) at
\( \boldsymbol{x}=\mathbf{0} \) is
A \( \cdot 2 y^{2}-1 \)
в. \( 2 y \)
c. \( y^{2}-y \)
D. \( y^{2}+1 \)
E \( \cdot y^{2}-1 \)
Subject: Chemistry
When negatively charged colloid like
\( A s_{2} S_{3} \) sol is added to positively
charged \( F e(O H)_{3} \) sol in suitable
amounts, then :

This question has multiple correct options
A. both the sols are precipitated simultaneously
B. this process is called mutual coagulation
c. they becomes positively charged colloid
D. they become negatively charged colloid
Subject: Physics
The diagram shows the magnetic field around two bar magnets. Which
diagram shows the poles of the
magnets?
\( A \)
\( \mathbf{N} \quad \mathbf{S} \) \( \mathbf{N} \quad \mathbf{S} \)
B. \( \mathbf{N} \quad \mathbf{S} \) \( \mathrm{S} \)
\( c \)
\( \mathrm{S} \) \( \mathbf{N} \quad \mathbf{S} \)
\( D \)
\( \mathrm{S} \) \( \mathrm{S} \)
Subject: Physics
The magnetic field inside the coils of a
toroid of radius \( R \) and \( N \) turns with a
current of \( \boldsymbol{I} \boldsymbol{A} \) is given by
A \( \cdot B=\frac{\mu_{o} N I}{4 \pi R} \)
в. \( B=\frac{\mu_{o} N I}{2 \pi R} \)
C \( . B=\mu_{o} N I \)
D. None of these
Subject: Chemistry
Which of the following is the correct value of \( \boldsymbol{R} \) in \( \boldsymbol{S} \boldsymbol{I} \) units?
A. 0.083 bar \( d m^{3} K^{-1} m o l^{-1} \)
-
B. 1.98 calK\( ^{-1} \)mol\( ^{-1} \)
c. \( 8.314 \times 10^{7} \) ergK\( ^{-1} \) mol \( ^{-1} \)
D. \( 8.314 J K^{-1} m o l^{-1} \)
Subject: Chemistry
A 3.4 g sample of \( H_{2} O_{2} \) solution containing \( \boldsymbol{x} \% \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) by mass requires
\( x \) mL of a \( K M n O_{4} \) solution for complete oixidation under acidic
condition.The molarity of \( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \)
solution is:
\( A \)
B. 0.5
\( c \cdot 0.4 \)
D. 0.2
Subject: Physics
The time period of a seconds pendulum
\( (2 s) \) is measured repeatedly for three
times by two stop watches \( A \) and \( B \). If
the readings are as follows, then
\( \begin{array}{lll}\text { Sr. No. } & \text { A } & \text { B } \\ \text { 1. } & \text { 2.01sec } & \text { 2.56sec } \\ \text { 2. } & \text { 2.10sec } & \text { 2.55sec } \\ \text { 3. } & \text { 1.98sec } & \text { 2.57sec }\end{array} \)
A. A is more accurate but B is more precise.
B. B is more accurate but A is more precise.
C. A and B are equally precise.
D. A and B are equally accurate.
Subject: Chemistry
The IUPAC name is: \( \boldsymbol{H}-\stackrel{\boldsymbol{C}}{\boldsymbol{C}}-\dot{\boldsymbol{C}}-\boldsymbol{C l} \)
A. 1,2 - dichoroethane
B. 2, 2 - dichloroethane
c. 1,1 - Dichloroethane
D. dichloroethane
Subject: Chemistry
The work done in the isothermal
reversible expansion of argon gas at
\( 27^{\circ} \mathrm{C} \) from \( 4.1 L \) to \( 16.1 L \) was equal to
4200 cal. What is the amount of argon
subjected to such an expansion?
\( \boldsymbol{A r}=\mathbf{4 0}, \ln \mathbf{4}=\mathbf{1 . 4}) \)
A \( .5 .0 g \)
в. \( 20.0 g \)
c. \( 200.0 g \)
D. \( 48.1 g \)
Subject: Chemistry
\[
\begin{array}{l}
\boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{O H} \quad \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}- \\
\boldsymbol{\oplus} \boldsymbol{H}_{2} \quad \boldsymbol{C H}_{3}-\boldsymbol{O}-\boldsymbol{C H}_{3}
\end{array}
\]
\( \boldsymbol{I} \)
III
The order that has the following compounds correctly arranged with respect to increasing acidity is:
A. is iis iii
B. isilisi
\( c . \) iiciciii
D. iiisisi
Subject: Chemistry
Which of these are the characteristics
of wave function \( \mathbf{\Psi} ? \)
This question has multiple correct options
A. \( \Psi \) must be single valued
в. \( \int_{-\infty}^{+\infty} \Psi^{2} d x d y d z=1 \)
c. \( \Psi \) must be finite and continous
D. \( \Psi \) can be discrete
Subject: Chemistry
Write the structure of 1-flouropropane.
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C l \)
\( \mathbf{B} \cdot C H_{3} C H_{2} C H_{3} F \)
\( \mathbf{c} \cdot C H_{2} C H_{2} C H_{2} F \)
D. \( C H_{3} C H_{2} C H_{2} F \)
Subject: Chemistry
Consider the following reactions-
The correct set of reagents for these
reactions is :
A \( \cdot R_{1}: H_{2} / \) Lindlarcatalyst, \( R_{2}: N a / l i q . N H_{3}, R_{3} \)
\( (i) O_{3},(i i) H_{2} O, R_{4}: H_{2} O H_{2} S O_{4}, H g S O_{4} \)
B. \( R_{1}: H_{2} / \) Lindlarcatalyst, \( R_{2}: \) Na/liq..NH \( _{3}, R_{3} \)
\( H_{2} O, H_{2} S O_{4}, H g S O_{4}, R_{4}:(i) O_{3},(i i) H_{2} O \)
C. \( R_{1}:(i) O_{3},(i i) H_{2} O, R_{2}: H_{2} O H_{2} S O_{4}, H g S O_{4}, R_{3} \)
Na /liq.NH \( _{3}, R_{4}: H_{2} / \) Lindlarcatalyst
D. \( R_{1}: H_{2} O H_{2} S O_{4}, H g S O_{4}, R_{2} \)
\( H_{2} / \)Lindlarcatalyst\( , R_{3}:(i) O_{3} \)
\( (i i) H_{2} O, R_{4}: \)
Na/liq.NH
Subject: Maths
If in a triangle \( A B C, 2 \cos A= \)
\( \sin B \operatorname{cosec} C, \) then
\( \mathbf{A} \cdot a=h \)
в. \( b=c \)
\( \mathbf{c} \cdot c=a \)
D. \( 2 a=b c \)
Subject: Physics
The graph above shows the magnitude of the force applied to an initially stationary \( 20 k g \) curling rock over time.
Find out the velocity of the rock after the force has been applied to it?
A \( .1 .25 \mathrm{m} / \mathrm{s} \)
в. \( 5 m / s \)
\( \mathrm{c} \cdot 10 \mathrm{m} / \mathrm{s} \)
D. \( 25 m / s \)
E. \( 50 m / s \)
Subject: Chemistry
If an endothermic reaction is non-
spontaneous at freezing point of water and becomes feasible at its boiling point, then
A. \( \Delta H \) is -ve, \( \Delta S \) is +ve
B. \( \Delta H \& \Delta S \) both are +ve
c. \( \Delta H \& \Delta S \) both are -ve
D. \( \Delta H \) is tve, \( \Delta S \) is-ve
Subject: Physics
Two particles of masses \( m_{1} \) and \( m_{2} \) are
released from rest on a smooth wedge
of mass \( M, \) then
This question has multiple correct options
A. Reaction force on the wedge due to ground is equal to \( \left(m_{1}+m_{2}+M\right) g \)
B. The wedge remains at rest if \( m_{1}=m_{2} \)
C ' the wedge remains stationary if \( \frac{\left(m_{1}\right.}{m_{2}}=\tan \theta \)
D. if \( \left(m_{1}>m_{2}, \) the wedge will accelerate towards right \right.
Subject: Biology
Primary succession on land occurs as:
A. lichen \( \rightarrow \) mosses \( \rightarrow \) annual grass \( \rightarrow \) shrubs \( \rightarrow \) trees
B. mosses \( \rightarrow \) lichen \( \rightarrow \) annual grass \( \rightarrow \) shrubs \( \rightarrow \) trees
C. plankton \( \rightarrow \) submerged \( \rightarrow \) floating stage \( \rightarrow \) marsh stage \( \rightarrow \) climax stage
D. all of these
Subject: Physics
The mass defect in a particular nuclear reaction in 0.3 grams.The amount of energy liberated in kilowatt hour is
\( \left(V \text { elocity of } \operatorname{light}=3 \times 10^{8} m / s\right) \)
A \( \cdot 1.5 \times 10^{6} \)
B . \( 2.5 \times 10^{6} \)
\( c \cdot 3 \times 10^{6} \)
D. \( 7.5 \times 10^{6} \)
Subject: Chemistry
Assertion
On passing \( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) \) through a
saturated solution of \( B a C l_{2}, \) a white
turbidity appears
Reason
The common ion effect is responsible for white turbidity
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 period of the SHM of a particle with
the maximum velocity \( 50 \mathrm{cm} / \mathrm{s} \) and maximum acceleration \( 10 \mathrm{cm} / \mathrm{s}^{2} \) is
A . \( 31.42 s \)
B. \( 6.284 s \)
c. \( 3.142 s \)
D. \( 0.3124 s \)
Subject: Chemistry
In presence of \( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{a} \boldsymbol{q} .) ; \boldsymbol{H}_{2} \boldsymbol{S} \) gas
results the precipitation of group- 2
cations but not of group- 4 cations during qualitative analysis. It is due to:
A. Lower concentration of \( S^{2-} \)
B. Higher concentration of \( S^{2} \)
C. Lower concentration of \( H^{+} \)
D. Higher concentration of \( H^{+} \)
Subject: Chemistry
In the following reaction which element is oxidized?
\( \boldsymbol{M} \boldsymbol{g}(\boldsymbol{s})+\boldsymbol{C l}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{M} \boldsymbol{g} \boldsymbol{C l}_{2}(\boldsymbol{s}) \)
\( \mathbf{A} \cdot M g \)
в. \( C l_{2} \)
\( \mathrm{c} \cdot M g^{+} \)
D. \( C l^{-} \)
Subject: Chemistry
Calculate the standard enthalpy for the given reaction.
\( \boldsymbol{C a C O}_{3} \rightarrow \boldsymbol{C a O}+\boldsymbol{C O}_{2} \)
\( \triangle \boldsymbol{H}_{f} \boldsymbol{C a C O}_{3}=\mathbf{1 2 0 6 . 9} \)
\( \triangle \boldsymbol{H}_{f} \boldsymbol{C a O}=-\mathbf{6 3 5 . 1} \boldsymbol{k J m o l} \)
\( \triangle \boldsymbol{H}_{f} \boldsymbol{C O}_{2}=-\mathbf{3 9 3 . 5} \)
Subject: Maths
Identify and write the like terms in each
of the following groups.
(i) \( a^{2}, b^{2},-2 a^{2}, c^{2}, 4 a \)
A \( \cdot\left(a^{6}, 2 a^{2}\right)^{2} \)
В \( \cdot\left(a^{2},-2 a^{2}\right) \)
\( \mathbf{C} \cdot\left(a^{3}, 2 a^{2}\right) \)
D. \( \left(a^{2}, 2 a^{3}\right) \)
Subject: Chemistry
Consider the graph given in figure.
When of the following options does not
show instantaneous rate of reaction at
\( 40 s: \)
\( A \)
B. \( \frac{V_{4}-V_{2}}{50-300} \)
\( c \cdot \frac{V_{3}-V_{2}}{40-30_{2}} \)
D. \( \frac{V_{3}-V_{1}}{40-200} \)
Subject: Maths
If \( A B C D \) is a parallelogram and \( E, F \)
are the centroids of \( \triangle A B D \) and \( B C D \)
respectively, then \( \boldsymbol{E} \boldsymbol{F} \) equals
\( \mathbf{A} \cdot A E \)
в. \( B E \)
c. \( C E \)
D. \( D E \)
Subject: Physics
In a photo-emissive cell with exciting wavelength \( \lambda \), the fastest electron has
speed \( v \). If the exciting wavelength is
changed to \( 3 \lambda / 4 \) the speed of the fastest emitted electron will be :
A \( \cdot v(3 / 4)^{1 / 2} \)
B \( \cdot v(4 / 3)^{1 / 2} \)
c. less than \( v(4 / 3)^{1 / 2} \)
D. greater than \( v(4 / 3)^{1 / 2} \)
Subject: Physics
Write the approximate value of specific heat capacity of water in S.I. unit.
A \( \cdot 420 J k g^{-1} K^{-1} \)
B . \( 400 J k g^{-1} K^{-1} \)
c. \( 2100 J k g^{-1} K^{-1} \)
D. \( 4200 J k g^{-1} K^{-1} \)
Subject: Chemistry
Which of the following pair has the
same size?
\( \mathbf{A} \cdot \mathrm{Fe}^{2+}, \mathrm{Ni}^{2+} \)
B. \( z r^{4+}, \) Ti \( ^{4+} \)
\( \mathbf{c} \cdot z r^{4+}, H f^{4+} \)
\( \mathbf{D} \cdot \mathbf{z} \mathbf{n}^{2+}, \mathbf{H} \mathbf{f}^{4} \)
Subject: Physics
An isobar of \( _{20} C a^{40} \) is :
\( \mathbf{A} \cdot_{18} A r^{40} \)
В. \( 200 a^{38} \)
\( \mathrm{c} \cdot_{20} \mathrm{Ca}^{42} \)
D. \( 18 A r^{38} \)
Subject: Maths
The equation of the ellipse whose foci \( \operatorname{are}(\pm 5,0) \) and of the directrix is \( 5 x= \)
\( 36, \) is
A \( \frac{x^{2}}{36}+\frac{y^{2}}{11}=1 \)
B. \( \frac{x^{2}}{6}+\frac{y^{2}}{\sqrt{11}}=1 \)
c. \( \frac{x^{2}}{6}+\frac{y^{2}}{11}=1 \)
D. None of these
Subject: Physics
A simple circuit consisting of three
resistors is shown above. \( \boldsymbol{R}_{1} \) has twice
the resistance of \( R_{2} \). If the switch
remains open, determine the ratio of
heat dissipated of \( \boldsymbol{R}_{1} \) to \( \boldsymbol{R}_{2} \)
A . 1: 3
B. 1:
\( c \cdot 1: 1 \)
D. 2:
E. 3:
Subject: Chemistry
Out of
\( \boldsymbol{C H}_{2} \boldsymbol{C l}_{2}, \boldsymbol{C H}_{4}, \boldsymbol{C C l}_{4}, \boldsymbol{H}_{2} \boldsymbol{O}, \boldsymbol{C H C l}_{3}, \boldsymbol{d}- \)
dichlorobenzene, \( o \) -cresol, \( p \) -xylene,
\( S C l_{2}, B F_{3}, I B r \) and \( C H_{2} O, \) non zero
value of dipole moment are:
Subject: Maths
ff \( y=x-x^{2} \), then the derivative of
\( \boldsymbol{y}^{2} \boldsymbol{w} \cdot \boldsymbol{r} \cdot \boldsymbol{t} \cdot \boldsymbol{x}^{2} \) is
A \( \cdot 2 x^{2}+3 x-1 \)
B . \( 2 x^{2}-3 x+1 \)
c. \( 2 x^{2}+3 x+1 \)
D. None of these
Subject: Chemistry
Classify the following into homoleptic \& heteroleptic complexes?
¡) \( \boldsymbol{K}_{4}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{6}\right] \)
ii) \( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\left(\boldsymbol{C O}_{3}\right)\right] \boldsymbol{C l} \)
iii) \( \boldsymbol{K}_{2}\left[\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{O} \boldsymbol{H})_{4}\right] \)
iv) \( \left[\boldsymbol{P t}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2} \boldsymbol{C l}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\right] \)
Subject: Maths
A chord of length \( 16 \mathrm{cm} \) is drawn in a
circle of radius \( 10 \mathrm{cm} . \) The distance of
the chord from the centre of the circle is
\( A \cdot 8 \mathrm{cm} \)
B. \( 12 \mathrm{cm} \)
\( c \cdot 6 c m \)
D. \( 10 \mathrm{cm} \)
Subject: Physics
Assertion: Specific heat of a body is
always more than its thermal capacity
Reason : Thermal capacity is the heat required for raising temperature of unit mass of the body through unit degree.
A. Both assertion and reason are correct and reason is the correct explanation of the assertion.
B. Both assertion and reason are correct, but reason is not the correct explanation of the assertion.
c. Assertion is correct but reason is incorrect
D. Assertion is incorrect but Reason is correct
E. Both assertion and reason is incorrect
Subject: Maths
A differential equation representing the
family of curves \( \boldsymbol{y}=\boldsymbol{a} \sin (\boldsymbol{\lambda} \boldsymbol{x}+\boldsymbol{\alpha}) \) is:
\( ^{A} \cdot \frac{d^{2} y}{d x^{2}}+\lambda^{2} y=0 \)
B. \( \frac{d^{2} y}{d x^{2}}-\lambda^{2} y=0 \)
c. \( \frac{d^{2} y}{d x^{2}}+\lambda y=0 \)
D. None of the above
Subject: Chemistry
Three allotropes \( (A),(B) \) and \( (C) \) of
phosphorous in the following change are respectively:
\( A \frac{513 K}{1200 a t m} \)
\( \boldsymbol{B} \frac{1200 a t m}{\text {In an inert atm. and then rapid cooling to room}} \)
\( C \)
A. white, red, white
B. black, white, red
c. red, black, white
D. red, violet, black
Subject: Physics
Assertion
A particle is under SHM along the \( x \) axis. Its mean position is \( x=2 \) amplitude is \( A=2 \) and angular frequency
\( \omega . A t t=0, \) particle is at origin, then \( x-c 0 \)
ordinate versus time equation of the
particle will be \( x=-2 \cos \omega t+2 \)
Reason
At \( t=0 \) particle is at rest.
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