AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Chemistry
Pure conc. \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) makes iron passive,
as the layer of is formed on
the surface.
\( \mathbf{A} \cdot F e_{2} O_{3} \)
в. \( F e O \)
\( \mathbf{c} \cdot F e_{3} O_{4} \)
D. \( \operatorname{Fe}\left(\mathrm{NO}_{3}\right)_{3} \)
Subject: Physics
An infinitely long straight non-magnetic conducting wire of radius a carries a \( d c \)
current I. The magnetic field \( B \), at a distance \( r(r<a) \) from axis of the wire
is:
A \( \cdot \frac{\mu_{0} I}{2 \pi a} \)
в. \( \frac{\mu_{0} I r}{2 \pi a^{2}} \)
c. \( \frac{2 \mu_{0} I r}{\pi a^{2}} \)
D. \( \frac{\mu_{0} I r^{2}}{2 \pi a^{3}} \)
Subject: Chemistry
In aqueous solutions, amino acids
mostly exist as:
A. \( N H_{2}-C H(R)- \) COOH
B . \( N H_{2}-C H(R)-C O O^{-} \)
c. \( N H_{3}^{+}-C H(R)- \) COOH
D. \( H_{3} N^{+}-C H(R)-C O O^{-} \)
Subject: Physics
A bullet of mass 10 g moving with velocity of \( 100 \mathrm{m} / \mathrm{sec} \) hits a wooden log and penetrates it up to thickness of 5 \( \mathrm{cm} . \) The resistance force of log is:
A . 200
B. 500 N
c. \( 1000 N \)
D. 600 N
Subject: Physics
toppr
Q Type your question
Superman arrives on the top of a cliff
and, due to some reason, Superman lost
his flying power immediately after arrival on cliff. Due to shortage of time,
somehow, Superman manages a strong and long straw and decided to drink
whole water of lake to save Bantu.
(Data:Atmospheric pressure \( =1.2 \times \)
\( 10^{5} P a, g=10 m / s^{2}, \) density of water \( = \)
1000 \( k g / m^{3} \) ) Assume Superman has
infinite power and ability to drink whole water. Which of the following statements is/are true?
(1) Superman cannot save Bantu by this
way.
(2) Superman can drink some water but not whole water.
(3) Superman will save Bantu by drinking whole water.
A. Only (1) \& (2)
B. Only (3)
c. Only (1)
D. AII (1), (2) \&
(3) are wrong
Subject: Chemistry
Assertion \( : \beta- \) particles have greater
penetrating power than \( \boldsymbol{\alpha}-\boldsymbol{r} \boldsymbol{a} \boldsymbol{y} \boldsymbol{s} \) but
less than \( \gamma- \) rays.
Reason \( : \beta- \) particles are lighter than
\( \boldsymbol{\alpha}-\boldsymbol{r} \boldsymbol{a} \boldsymbol{y} \boldsymbol{s} \) but heavier than \( \boldsymbol{\gamma} \)
A. If both (A) and (R) are correct, and (R) is the correct explanation of (A).
B. If both (A) and (R) are correct, but (R) is not the correct explanation of (A)
c. If (A) is correct, but (R) is incorrect.
D. If (A) is incorrect, but (R) is correct
E. If both (A) and (R) are incorrect
Subject: Physics
Find the \( Q \) value of the reaction
\( N^{14}+\alpha \rightarrow O^{17}+p \)
The masses of \( N^{14}, H e^{4}, p, \) and \( O^{17} \) are
respectively, 14.00307 u, \( 4.00260 u \) \( 1.00783 \mathrm{u}, \) and \( 16.99913 \mathrm{u} . \) Find the total
kinetic energy of the products if the striking \( \alpha- \) particle has the minimum kinetic energy required to initiate the
reaction:
Subject: Chemistry
(i) What is the role of \( t \) -butyl peroxide in the polymerization of ethene?
(ii) Identify the monomers in the following polymer:
\( \left[-N H-\left(C H_{2}\right)_{6}-N H-C O-(C H\right. \)
(iii) Arrange the following polymers in the increasing order of their intermolecular forces:
Polystyrene, Terylene, Buna \( -S \)
Write the mechanism of free radical
polymerization of ethene.
Subject: Physics
A stone is thrown vertically up from the top of a tower with some initial velocity
and it arrives on the ground after \( t_{1} \) seconds. Now if the same stone is
thrown vertically down from the top of the same tower with the same initial
velocity, it arrives on ground after \( t_{2} \) seconds. How much time will the stone
take to reach the ground if it is dropped
from the same tower?
\( \mathbf{A} \cdot \sqrt{t_{1} t_{2}} \)
B . \( t_{1}+t_{2} \)
\( \mathbf{c} \cdot\left(t_{1}+t_{2}\right) / 2 \)
D. None of these
Subject: Chemistry
Assertion
Li electrode always acts as anode in
voltaic cell.
Reason
Li electrode has lowest SRP among all
the electrodes.
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
If \( f \) and \( g \) two function defined on \( N \)
such that \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}2 n-1 i f n \text { isven } \\ 2 n+2 i f \text { is odd }\end{array} \text { and } g(n)=f(n)+\right. \)
Then range of \( g \) is
A \( \cdot\{m \epsilon N: m=\text { multiple of } 4\} \)
B. setofevennaturalnumber
C \( \cdot\{m \epsilon N: m=4 k+3, k i s \text { a natural number }\} \)
D. \( m \epsilon N: m= \) multiple of 3 or multiple of 4
Subject: Chemistry
One mole of \( \boldsymbol{H}_{2}, \boldsymbol{2} \) moles of \( \boldsymbol{I}_{2} \) and \( \boldsymbol{3} \)
moles of \( H I \) are injected in a one litre flask. What will be the concentration of
\( \boldsymbol{H}_{2}, \boldsymbol{I}_{2} \) and \( \boldsymbol{H} \boldsymbol{I} \) at equilibrium when \( \boldsymbol{K}_{\boldsymbol{c}} \)
is \( 45.9 ? \)
Subject: Chemistry
What coefficients are required to balance the following equation?
\( \boldsymbol{F} \boldsymbol{e}+\boldsymbol{O}_{2} \rightarrow \boldsymbol{F} \boldsymbol{e} \boldsymbol{O} \)
\( \mathbf{A} \cdot 2,1,2 \)
B. 1,1,1
c. 4,2,4
D. 2,1,1
Subject: Physics
Assertion
Semiconductors are solids with
conductivities in the intermediate
range from \( 10^{-6}-10^{4} \) ohm \( ^{-1} m^{-1} \)
Reason
Intermediate conductivity in
semiconductor is due to partially filled
valence band.
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
In spectrochemical series, chlorine is
above water i.e., \( \boldsymbol{C l}>\boldsymbol{H}_{2} \boldsymbol{O} . \) This is due
to:
A. Good \( \pi- \) acceptor properties of \( C l \)
B. Strong \( \sigma- \) and good \( \pi- \) acceptor properties of \( C l \)
c. Good \( \pi \) - donor properties of \( C l \)
D. Larger size of \( C l \) than \( H_{2} O \)
E. None of the option
Subject: Chemistry
\( 200 g \) water is heated from \( 40^{\circ} \mathrm{C} \) to
\( 60^{\circ} \mathrm{C} . \) Ignoring the slight expansion of
water, the change in its internal energy is close to:
(Given specific heat of water \( = \) \( 4184 J / k g / K) \)
A. \( 167.4 k J \)
в. \( 16.7 k J \)
c. \( 8.4 k J \)
D. \( 4.2 k J \)
Subject: Chemistry
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \longrightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) ; \boldsymbol{\Delta} \boldsymbol{H}=\boldsymbol{x}_{4} \)
Given
\( \boldsymbol{E}_{\boldsymbol{H}-\boldsymbol{H}}=\boldsymbol{x}_{\boldsymbol{1}} \)
\( \boldsymbol{E}_{\boldsymbol{O}-\boldsymbol{O}}=\boldsymbol{x}_{\boldsymbol{2}} \)
\( \boldsymbol{E}_{\boldsymbol{O}-\boldsymbol{H}}=\boldsymbol{x}_{\boldsymbol{3}} \)
\( \Delta H_{F} \) of \( H_{2} O \) vapour is:
A \( \cdot x_{1}+\frac{x_{2}}{2}-x_{3}+x_{4} \)
B \( \cdot 2 x_{3}-x_{1}-\frac{x_{2}}{2}-x_{4} \)
c. \( _{x_{1}+\frac{x_{2}}{2}-2 x_{3}-x_{4}} \)
D. \( x_{1}+\frac{x_{2}}{2}-2 x_{3}+x_{4} \)
Subject: Physics
A system \( S \) consists of two coils \( A \) and
B. The coil \( A \) have a steady current \( I \)
while the coils \( B \) is suspended near by
as shown in figure. Now the system is
heated as to raise the temperature of
two coils steadily, then :
A. the two coils show attraction
B. the two coils show repulsion
C. there is no change in the position of the two coils
D. induced currents are not possible in coil \( B \)
Subject: Maths
A circle is inscribed in a square and
then a smaller square is inscribed in the circle. The ratio of the area of the
smaller square to that of the larger square is
A . 1: 4
B. \( \sqrt{2}: 2 \)
\( c \cdot 1: 2 \)
D. \( 1: \sqrt{2} \)
E . 2: 3
Subject: Physics
A house is on built on the top of a hill
with \( 45^{0} \) slope. Due to the sliding of material and sand from top to the
bottom of hill, the slope angle has been reduced.
If the coefficient of static friction
between sand particles is \( 0.75, \) what is the final angle attained by hill?
\( \left.\tan ^{-1} 0.75=37^{0}\right) \)
\( \mathbf{A} \cdot 8^{0} \)
B. \( 45^{\circ} \)
\( c \cdot 37^{0} \)
D. \( 30^{\circ} \)
Subject: Chemistry
Which of the following is not formed
when \( H_{2} S \) reacts with acidic \( K_{2} C r_{2} O_{7} \)
solution?
A \( \cdot C r S O_{4} \)
B. \( C r_{2}\left(S O_{4}\right)_{3} \)
\( c . s \)
D. \( H_{2} O \)
Subject: Maths
If \( X, Y \) are independent then \( S D(X- \)
\( \boldsymbol{Y}) \) is:
\( \mathbf{A} \cdot S D(X)-S D(Y) \)
в. \( S D(X)+S D(Y) \)
c. \( \sqrt{S D(X)+S D(Y)} \)
D. None of these
Subject: Physics
A car is travelling with an acceleration
of \( 2 m / s^{2} . \) If the diameter of the car
wheel is \( 50 \mathrm{cm}, \) the angular acceleration of the wheel is:
A \( .2 .5 \mathrm{rad} / \mathrm{s}^{2} \)
B. 8 rad/s\( ^{2} \)
C \( .5 \mathrm{rad} / \mathrm{s}^{2} \)
D. 4 rad/s\( ^{2} \)
Subject: Chemistry
The self ionisation constant for
HCOOH is \( 10 \%-6 \) what percentage
of \( H C O O H \) are converted to \( H C O O \)
ion. The density of \( H C O O H \) is \( 1.22 g \) \( \boldsymbol{m} \boldsymbol{L}^{-1} \)
Subject: Chemistry
Which of the following reactions will not give propane? This question has multiple correct options
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C l \frac{M g / e t h e r}{H_{2} P} \)
в. \( C H_{3} C H_{2} C O C l \frac{C H_{3} M g X}{H_{2} P} \)
c. \( C H_{3} C H=C H_{2} \frac{B_{2} H_{6}}{C H_{3} C O O H} \)
D. \( C H_{3} C H-C H_{3} \stackrel{P / H I}{\longrightarrow} \)
он
Subject: Chemistry
Alveoli are tiny sacs in the lungs whose
average diameter is \( 5 \times 10^{-10} \) m. An
oxygen molecule is trapped in a sac. The uncertainty in the velocity of oxygen molecule within a sac is:
A. \( 2.0 m / \)sec
в. \( 3.0 \mathrm{m} / \mathrm{sec} \)
c. \( 1.0 m / s e c \)
D. \( 4.0 m / \)sec
Subject: Maths
If \( z=2-3 i, \) then show that \( z^{2}-4 z+ \)
\( 13=0 . \) Hence find the value of \( 4 z^{3}- \)
\( \mathbf{3} z^{2}+\mathbf{2} z+\mathbf{1 7 0} \)
Subject: Maths
The adjacent sides of a parallelogram
are \( 8 m \) and 5 m. The distance between
the longer sides is 4 m. What is the
distance between the shorter sides?
\( \mathbf{A} \cdot 6.4 m \)
B. \( 6 m \)
c. \( 8.6 m \)
D. None of these
Subject: Physics
A batsman hits back a ball of mass 0.15
kg straight in the direction of the bowler without changing its initial speed of 12 \( m s^{-1} . \) If the ball moves linearly, then the impulse imparted to the ball is
A . \( 1.8 \mathrm{N} \)
B. 2.8 N s
c. 3.6 N s
D. 4.2 N s
Subject: Maths
toppr
Q Type your question
City \( \mathbf{A} \)
\begin{tabular}{ll} 
Temperature \( \left.^{(o} \boldsymbol{F}\right) \) & Frequency \\
80 & 3 \\
79 & 14 \\
78 & 2 \\
77 & 1 \\
76 & 1 \\
\hline
\end{tabular} City B
\( \begin{array}{ll}\text { Temperature }\left(^{o} \boldsymbol{F}\right) & \text { Frequency } \\ 80 & 6 \\ 79 & 3 \\ 78 & 2 \\ 77 & 4 \\ 76 & 6\end{array} \) Which of the following is true about the
data shown for these 21 days?
A. The standard deviation of temperatures in City A is larger.
B. The standard deviation of temperatures in City B is arger
c. The standard deviation of temperatures in City A is the same as that of City B
D. The standard deviation of temperatures in these cities cannot be calculated with the data provided.
Subject: Maths
A shopkeeper buys an article at a rebate of \( 20 \% \) on the printed price. He spends
Rs. 40 on transportation of the article. After charging a sales tax of \( 7 \% \) on the printed price, he sells the article for Rs.
1, 070. Find his gain as per cent.
A \( \cdot 4 \frac{1}{16} \% \)
в. \( 11 \frac{1}{13} \% \)
c. \( 14 \frac{1}{20} \% \)
D. \( 19 \frac{1}{21} \% \)
Subject: Chemistry
The vapour pressure of a mixture of
diethyl aniline and water is \( 1.013 \times \) \( 10^{5} N m^{-2} \) at \( 99.4^{\circ} C . \) The vapour
pressure of water at this temperature is
\( 0.992 \times 10^{5} N m^{-2} . \) The grams of steam
are necessary to distill over 100 g of diethylaniline are (write answer as nearest integer after dividing by 60 ).
Subject: Chemistry
Which of the following statements are
correct?
(I) Monoclinic sulphur contains \( \boldsymbol{S}_{8} \)
molecules.
(II) Sulphur forms \( S F_{6}, S F_{4}, S F_{2} \) and
\( \boldsymbol{S}_{2} \boldsymbol{F}_{2} \)
(III) Peroxo group is present in \( \boldsymbol{H}_{2} \boldsymbol{S}_{2} \boldsymbol{O}_{6} \)
A . ॥, ॥ ॥
B. ।, ॥
\( c \cdot \) ।, ॥
D. I, II, III
Subject: Chemistry
Balance the following below equation.
\( \boldsymbol{A u}+\boldsymbol{N O}_{3}^{-}+\boldsymbol{C l}^{-}+\boldsymbol{H}^{+} \rightarrow \boldsymbol{A u} \boldsymbol{C l}_{4}^{-}+ \)
\( N O_{2}+H_{2} O \)
A \( \cdot A u+3 N O_{3}^{-}+4 C l^{-}+6 H^{+} \rightarrow A u C l_{4}^{-}+3 N O_{2}+ \)
\( 3 H_{2} O \)
B . \( A u+2 N O_{3}^{-}+5 C l^{-}+8 H^{+} \rightarrow A u C l_{4}^{-}+6 N O_{2}+ \)
\( 3 H_{2} O \)
c. \( A u+4 N O_{3}^{-}+2 C l^{-}+6 H^{+} \rightarrow A u C l_{4}^{-}+5 N O_{2}+ \)
\( 3 H_{2} O \)
D. None of these
Subject: Chemistry
For the reaction \( \boldsymbol{O}_{3(g)}+\boldsymbol{O}_{(g)} \rightarrow \mathbf{2} \boldsymbol{O}_{2(g)} \)
if the rate law expression is, rate \( = \)
\( \boldsymbol{K}\left[\boldsymbol{O}_{3}\right][\boldsymbol{O}] \) the molecularity and order of
the reaction are:
A . 2 and 2
B. 2 and 1.33
c. 2 and 1
D. 1 and 2
Subject: Maths
A random variable \( X \) has its range \( X= \)
\{3,2,1\} with the probabilities, \( \frac{1}{2}, \frac{1}{3} \) and \( \frac{1}{6} \) respectively. The mean
value of \( X \) is
A \( \cdot \frac{5}{3} \)
B. \( \frac{7}{3} \)
\( c .3 \)
\( D \)
Subject: Chemistry
What is the order of basicity of the
following compounds in aprotic
solvent?
\( \boldsymbol{C H}_{3} \boldsymbol{N} \boldsymbol{H}_{2},\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{N} \boldsymbol{H},\left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{N} \)
A \( \cdot\left(C H_{3}\right)_{3} N>\left(C H_{3}\right)_{2} N H>C H_{3} N H_{2} \)
B . \( \left(C H_{3}\right)_{3} N<\left(C H_{3}\right)_{2} N H<C H_{3} N H_{2} \)
C. \( \left(C H_{3}\right)_{3} N>C H_{3} N H_{2}>\left(C H_{3}\right)_{2} N H \)
D. None of these
Subject: Chemistry
A very dilute saturated solution of a
sparingly soluble salt \( A_{3} B_{4} \) has a
vapour pressure of 20 mm of \( H g \)
at temperature \( T, \) while pure water
exerts a pressure of 20.126 mm \( H g \) at
the same temperature

The solubility product constant of \( \boldsymbol{A}_{3} \boldsymbol{B}_{4} \)
at the same temperature is \( 5.4 \times 10^{-x} \)
value of \( x \) is
Subject: Maths
If the vectors \( \bar{a}=2 i+j-k \) and \( \bar{b}= \)
\( i+j+k, \) then find the angle between
its.
A \( \cdot \sin ^{-1} \frac{\sqrt{2}}{3} \)
B. \( \cos ^{-1} \frac{\sqrt{2}}{3} \)
c. \( \cos ^{-1} \frac{2}{\sqrt{3}} \)
D. \( \sin ^{-1} \frac{2}{\sqrt{3}} \)
Subject: Chemistry
Which of the following statement(s) is/are correct?
This question has multiple correct options
A. In metal carbonyl complexes \( d_{C-} o \) increases compared to that in \( C O \) molecule
\( B \)
The pair of compounds \( \left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Cl}_{3} \) and
\( \left[\mathrm{CrCl}\left(\mathrm{H}_{2} \mathrm{O}\right)_{4}\right] 2 \mathrm{H}_{2} \mathrm{O} \) show hydrate isomerism
C \( \quad A l_{2}\left(C H_{3}\right)_{6} \) is a dimeric compound and has a similar
structure to diborane
D. Facial and Meridional isomers associated with
\( \left[M a_{3} b_{3}\right]^{n \pm} \) type complex compound, both are optically
inactive
Subject: Maths
Find the value of \( x \) and \( y \) using elimination method:
\( 2 x+3 y=-6 \) and \( b x+2 y=-10 \)
A \( \cdot\left(2, \frac{-2}{3}\right) \)
B \( \cdot\left(-2, \frac{2}{3}\right) \)
c. \( \left(2, \frac{2}{3}\right) \)
D. \( \left(-2, \frac{-2}{3}\right) \)
Subject: Maths
Solve the differential equation:
\( \left(x y^{2}-e^{1 / x^{3}}\right) d x-x^{2} y d y=0 \)
A \( \cdot 3 y^{2}=2 x^{2} e^{1 / x^{3}}+c x^{2} \)
B . \( 3 y^{2}=2 x^{2} e^{1 / x^{3}}-c x^{2} \)
c. \( 3 y^{2}=-2 x^{2} e^{1 / x^{3}}+c x^{2} \)
D. None of these.
Subject: Chemistry
Select the correct code about complex
\( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{O}_{2}\right)\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}\right]\left[\boldsymbol{Z} \boldsymbol{n} \boldsymbol{C l}_{4}\right] \)
(I) IUPAC name is pentaamminenitritoN-chromium(III) tetrachlorozincate (II)
(II) It does not exhibit geometrical isomerism
(III) It shows linkage isomerism
(IV) Its coordination isomerism
A. III, IV
B. I, III and IV
c. ॥, ॥ा and IV
D. I, II, III and IV
Subject: Biology
Q Type your question
(i.e, acoelomate, pseudocoelomate and
coelomate)
Spongilla, Sea anemone, Planaria,
Liverfluke Wuchereria, Ascaris, Nereis,
Earthworm, Scorpion, Birds, Fishes,
Horse.
A. (i)Acoelomate: Spongilla, Sea anemone, Planaria, Liver fluke.
(ii) Pseudocoelomate: Wuchereria, Ascaris.
(iii) Coelomate: Nereis, Earthworm, Scorpion, Birds, Fishes, Horse.
B. (i)Acoelomate: Wuchereria, Ascaris.
(ii) Pseudocoelomate: Spongilla, Sea anemone, Planaria, Liver fluke.
(iii) Coelomate: Nereis, Earthworm, Scorpion, Birds, Fishes, Horse.
C. (i)Acoelomate: Nereis, Earthworm, Scorpion, Birds, Fishes, Horse.
(ii) Pseudocoelomate: Spongilla, Sea anemone, Planaria, Liver fluke.
(iii) Coelomate: Wuchereria, Ascaris.
D. (i)Acoelomate: Nereis, Earthworm, Sea anemone, Planaria, Liver fluke.
(ii) Pseudocoelomate: Spongilla, Scorpion, Birds, Fishes, Horse.
oelomate: Wuchereria, Ascaris.
Subject: Physics
\( \boldsymbol{P}^{\boldsymbol{\ell}} \) is an intinite current carryıng
conductor. \( A B \) and \( C D \) are smooth
conducting rods on which a conductor
\( E F \) moves with constant velocity \( V \) as shown. The force needed to maintain
constant speed of \( \boldsymbol{E F} \) is -
\( ^{\mathrm{A}} \frac{1}{V R}\left[\frac{\mu_{0} I V}{2 \pi} \ln \left(\frac{b}{a}\right)\right]^{2} \)
\( ^{\mathrm{B}}\left[\frac{\mu_{0} I V}{2 \pi} \ln \left(\frac{b}{a}\right)\right]^{2} \frac{1}{2 V R} \)
\( ^{\mathbf{c}} \cdot\left[\frac{\mu_{0} I V}{2 \pi} \ln \left(\frac{b}{a}\right)\right]^{2} \frac{V}{R} \)
\( \stackrel{2 V}{R}\left[\frac{\mu_{0} I V}{2 \pi} \ln \left(\frac{b}{a}\right)\right]^{2} \)
Subject: Chemistry
The bond order in \( N O \) is 2.5 while that
in \( N O^{+} \) is \( 3 . \) Which statement is true
for these two species?
A. Bond length is unpredictable
B. Bond length in \( N O \) is greater than in \( N O^{+} \)
C. Bond length in \( N O^{+} \) is equal to that in \( N O \)
D. Bond length in \( N O^{+} \) is greater than in \( N O \)
Subject: Chemistry
\( \boldsymbol{a} \boldsymbol{A}+\boldsymbol{b} \boldsymbol{B} \rightarrow \operatorname{Product}, \boldsymbol{d} \boldsymbol{x} / \boldsymbol{d} \boldsymbol{t}=\boldsymbol{k}[\boldsymbol{A}]^{\boldsymbol{a}}[\boldsymbol{B}]^{b} \)
If concentration of \( \boldsymbol{A} \) is doubled, rate is
four times. If concentration of \( B \) is
made four times, rate is doubled. What
is relation between rate of
disappearance of \( A \) and that of \( B ? \)
\( \mathbf{A} \cdot-\{d[A] / d t\}=-\{d[B] / d t\} \)
B . \( -\{d[A] / d t\}=-\{4 d[B] / d t\} \)
\( \mathbf{c} \cdot-\{4 d[A] / d t\}=-\{d[B] / d t\} \)
D. None of these
Subject: Chemistry
For anionic hydrolysis, \( p H \) is given by:
A \( \cdot p H=\frac{1}{2} p K_{w}=\frac{1}{2} p K_{b}-\frac{1}{2} \log c \)
B. \( _{p H=} \frac{1}{2} p K_{x}+\frac{1}{2} p K_{a}-\frac{1}{2} p K_{b} \)
c. \( _{p H=} \frac{1}{2} p K_{w}+\frac{1}{2} p K_{a}+\frac{1}{2} \log c \)
D. none of the above
Subject: Physics
When a vibrating tuning fork is placed on a sound box of a sonometer, 8 beats
per second are heard when the length of
the sonometer wire is kept at \( 101 \mathrm{cm} \) or
\( 100 \mathrm{cm} . \) Then the frequency of the tuning fork is (consider that the tension in the wire is kept constant):
A \( .1616 \mathrm{Hz} \)
В. \( 1608 \mathrm{Hz} \)
\( \mathbf{c} \cdot 1632 H z \)
D. \( 1600 \mathrm{Hz} \)
Subject: Maths
In isosceles triangle \( \boldsymbol{A B C}, \boldsymbol{A B}=\boldsymbol{A C} \)
The side \( B A \) is produced to \( D \) such that
\( \boldsymbol{B A}=\boldsymbol{A D} \)
Hence, \( \angle B C D=90^{\circ} \)
If the above statement is true then
mention answer as 1 , else mention 0 if
false
Subject: Maths
The value of \( \int \sqrt{\frac{e^{x}}{e^{x}}+1} d x \) is equal
to
\( \mathbf{A} \cdot \ln \left(e^{x}+\sqrt{e^{2} x}-1\right)-\sec ^{-} 1\left(e^{x}\right)+c \)
B \( \cdot \ln \left(e^{x}+\sqrt{e^{2} x}-1\right)+\sec ^{-} 1\left(e^{x}\right)+c \)
C \( \cdot \ln \left(e^{x}-\sqrt{e^{2} x}-1\right)-\sec ^{-} 1\left(e^{x}\right)+c \)
D \( \cdot \ln \left(e^{x}+\sqrt{e^{2} x}-1\right)-\sin ^{-} 1\left(e^{-x}\right)+c \)
Subject: Chemistry
Which series of reactions will achieve
the following transformation?
A \( \cdot 1:\left[l l_{2} / C C l_{4} \text { 2: } B r_{2}\right. \)
в. \( 1: H B r \) \( 2: C l_{2} / C C l \)
c. \( 1: C l_{2} / C C l_{4} \) २: \( N B S / h v \)
D. \( 1: N B S / h v \) 2: \( C l_{2} / C C l_{4} \)
Subject: Chemistry
The equilibrium concentration of \( C_{2} H_{4} \)
in the following gas phase reaction can be increased by:
\( \boldsymbol{C}_{2} \boldsymbol{H}_{4}(\boldsymbol{g})+\boldsymbol{H}_{2}(\boldsymbol{g}) \rightleftharpoons \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{6}(\boldsymbol{g}), \quad \boldsymbol{\Delta} \boldsymbol{H}=-\mathbf{3 2 . 7} \boldsymbol{k} \boldsymbol{c a l} \)
A \( \cdot \) removal of \( C_{2} H_{6} \)
B. removing \( H_{2} \)
c. decrease in temperature
D. increase in pressure
Subject: Physics
A radioactive nucleus of mass \( M \) emits
a photon of frequency \( v \) and the nucleus
recoils. The recoil energy will be
A . \( h v \)
B. \( M c^{2}-h v \)
c. \( \frac{h^{2} v^{2}}{2 M c^{2}} \)
D. zero
Subject: Chemistry
The mass of a molecule of the
compound \( \boldsymbol{C}_{\mathbf{6 0}} \boldsymbol{H}_{\mathbf{1 2 2}} \) is
A \( \cdot 1.4 \times 10^{-21} \mathrm{g} \)
В. \( 1.09 \times 10^{-21} \mathrm{g} \)
\( \mathbf{c} \cdot 5.025 \times 10^{23} \mathrm{g} \)
D. \( 16.023 \times 10^{23} \mathrm{g} \)
Subject: Physics
Let \( E_{D}, E_{P}, E_{S} \) denote efficiency of a
diesel, a petrol and a steam engine respectively. which of the following is
correct?
A. \( E_{D}<E_{P}>E_{S} \)
В. \( E_{D}<E_{P}<E_{S} \)
\( \mathbf{c} \cdot E_{P}>E_{D}>E_{S} \)
D. \( E_{P}<E_{S}<E_{D} \)
Subject: Physics
Two cylinders \( A \) and \( B \) fitted with pistons contain equal number of moles
of an ideal monoatomic gas at \( 400 K \) The piston of \( A \) is free to move while that of B is held fixed Same amount of heat
energy is given to the gas in each cylinder. If the rise in temperature of the gas in \( A \) is \( 42 K \), the rise in temperature of the gas in \( \mathrm{B} \) is: \( \left(\gamma=\frac{5}{3}\right) \)
A . 21
в. 35 к
\( c \cdot 42 k \)
D. 7ок
Subject: Physics
An alpha particle of energy 5 MeV is scattered through \( 180^{\circ} \) by a fixed uranium nucleus. The distance of the
closest approach is of the order of
A \( \cdot 10^{-15} \mathrm{cm} \)
B . \( 10^{-13} \mathrm{cm} \)
\( \mathbf{c} \cdot 10^{-12} \mathrm{cm} \)
D. \( 10^{-19} \mathrm{cm} \)
Subject: Chemistry
Which of the following acids is
monobasic?
A. Hypophosphorous acid \( \left(H_{3} P O_{2}\right) \)
B. Orthophosphoric acid \( \left(H_{3} P O_{4}\right) \)
C. Pyrophosphoric acid \( \left(H_{4} P_{2} O_{7}\right) \)
D. Hypophosphoric acid \( \left(H_{4} P_{2} O_{6}\right) \)