AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
A spherical drop of water carrying a charge of 0.032 nC has a potential of 512 V at its surface. If two such drops with the same radius and charge were to combine to form a single drop, what would be the potential at the surface of the new drop?
A . 136.2 \( v \)
в. 113 v
c. \( 999.08 \mathrm{v} \)
D. 812.756 V
Subject: Physics
Water falls from a height of \( 500 \mathrm{m} \) What is approximately the rise temperature of water at bottom if whole energy is used to heat the water?
A \( .5000^{\circ} \mathrm{C} \)
B. \( 500^{\circ} \mathrm{C} \)
c. \( 1.17^{\circ} \mathrm{C} \)
D. \( 0.23^{\circ} \mathrm{C} \)
Subject: Maths
If \( f: R \rightarrow R \) be defined by \( f(x)=e^{x} \)
and \( g: R \rightarrow R \) be defined by \( g(x)= \)
\( \boldsymbol{x}^{2} . \) The mapping \( \boldsymbol{g} \circ \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be
defined by \( (\boldsymbol{g} \circ \boldsymbol{f}(\boldsymbol{x}))=\boldsymbol{g}(\boldsymbol{f}(\boldsymbol{x})) \forall \boldsymbol{x} \in \boldsymbol{R} \)
Then
A. \( g \circ f \) is injective but \( f \) is not injective
B. \( g \circ f \) is injective and \( g \) is injective
c. \( g \circ f \) is injective but \( g \) is not injective
D. \( g \circ f \) is surjective and \( g \) is surjective
Subject: Maths
If \( \vec{a}, \vec{b}, \vec{c} \) are the position vectors of the vertices of an equilateral triangle whose orthocentre is at the origin, then the centroid of the triangle satisfies which of the following relation?
A \( \cdot \vec{a}+\vec{b}+\vec{c}=0 \)
B \cdot \( \overrightarrow{a^{2}}=\overrightarrow{b^{2}}+\overrightarrow{c^{2}} \)
c. \( \vec{a}+\vec{b}-\vec{c}=0 \)
D. None of these
Subject: Biology
Assertion
Cockroach undergoes periodic ecdysis during its growth.
Reason
Cockroach has compound eyes.
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
If \( \sin ^{-1}(1-x)-2 \sin ^{-1} x=\pi / 2, \) then
\( x \) is equals?
\( \mathbf{A} \cdot\{0,-1 / 2\} \)
B \cdot \( \{1 / 2,0\} \)
\( c \cdot\{0\} \)
D. (-1,0)
Subject: Maths
Which of the following pairs represent the same rational number?
This question has multiple correct options
A \( \cdot \frac{-7}{21} \) and \( \frac{3}{9} \)
B. \( \frac{-16}{20} \) and \( \frac{20}{-25} \)
c. \( \frac{-2}{-3} \) and \( \frac{2}{3} \)
D. \( \frac{-1}{3} \) and \( \frac{2}{9} \)
Subject: Chemistry
Give equations of the following reactions:
(i) Oxidation of propan-1-ol with alkaline
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \) solution
(ii) Bromine in \( C S_{2} \) with phenol.
(iii) Dilute \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) with phenol
(iv) Treating phenol wih chloroform in
presence of aqueous \( N a O H \)
Subject: Physics
A student prepares a \( 0.10 M \) CoCl \( _{2} \)
solution and determines the
absorbance of the solution at various
wavelengths using a
spectrophotometer. A graph of the results is shown below.

Identify the optional wavelength for
absorbance.
\( \mathbf{A} \cdot 300 n m \)
B. \( 375 n m \)
\( \mathbf{c} \cdot 410 n m \)
D. \( 550 n m \)
Subject: Physics
An auditorium of dimensions \( (100 \times \) \( 40 \times 10) m^{3} \) contains \( 1000 m^{2} \)
curtains of absorption coefficient \( 0.2 m^{-2}, 2000 m^{2} \) of carpets of
absorption coefficient \( 0.7 m^{-2} . \) If 1000
men of absorption coefficients 0.9 per
person are sitting in the hall, then reverberation time is
A . \( 2.7 s \)
B. \( 7.2 s \)
\( c .3 .5 s \)
D. 3.7
Subject: Chemistry
The reason for not storing \( X e F_{6} \) in a glass or a quartz vessel is that:
A . It forms an explosive having the formula \( X e O_{2} F_{2} \)
B. It forms an explosive having the formula \( X e O F_{4} \)
c. It forms \( X e O_{2} \) which is explosive substance
D. It forms \( X e O_{6}^{4-} \) which is explosive in nature
Subject: Maths
If order of \( A, B, C \) are \( 3 \times 4,5 \times 4,5 \times 8 \)
then if the order of \( \left(A B^{T} C\right) \) is \( m \times \) \( \boldsymbol{n} \) then find \( \boldsymbol{m}+\boldsymbol{n} \)
Subject: Physics
The least count of a stop-watch is
\( (1 / 5) s . \) The time of 20 oscillations of a pendulum is measured to be 25 s. What is the maximum percentage error in this measurement?
\( A \cdot 8 \% \)
B. 1\%
c. \( 4 \% \)
D. \( 16 \% \)
Subject: Maths
For matrix \( \mathbf{A} \)
\( (\boldsymbol{\alpha}+\boldsymbol{\beta}) \boldsymbol{A}= \)
A \( . \alpha A \)
B. \( \alpha A+\beta B \)
\( \mathbf{c} \cdot \alpha A+\beta A \)
D. \( \alpha^{2} A+\beta^{2} A \)
Subject: Chemistry
Equivalent weight of \( B r_{2} \) is 96 in the following disproportionation reaction:
\( \boldsymbol{B} \boldsymbol{r}_{2}+\boldsymbol{O} \boldsymbol{H}^{-} \rightarrow \boldsymbol{B} \boldsymbol{r}^{-}+\boldsymbol{H}_{2} \boldsymbol{O}+? \)
(oxidized product) The oxidation state of Br in the oxidized product is \( (\mathrm{Br}=80) \)
Subject: Chemistry
HOCl\( (a q) \) is the molecule that kills bacteria wen chlorine is added to water
The following reaction produces this
molecule
\( \boldsymbol{C l}_{2}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(l) \rightleftharpoons \boldsymbol{H} \boldsymbol{O} \boldsymbol{C l}(\boldsymbol{a} \boldsymbol{q})+ \)
\( \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q}) \)
Which statement about this reaction is
correct?
A. Chlorine is both oxidised and reduced
B. Chlorine is oxidised but not reduced
c. Hydrogen is both oxidised and reduced
D. Hydrogen is oxidised but not reduced
Subject: Maths
Given 3 vectors: \( \vec{V}_{1}=a \hat{i}+b \hat{j}+c \hat{k} \)
\( \vec{V}_{2}=b \hat{i}+c \hat{j}+a \hat{k} \) and \( \vec{V}_{3}=c \hat{i}+a \hat{j}+ \)
b \( \hat{k} . \) In which of the following conditions
\( \vec{V}_{1}, \vec{V}_{2} \) and \( \vec{V}_{3} \) are linearly independent?
A \( \cdot a+b+c=0 \) and \( a^{2}+b^{2}+c^{2} \neq a b+b c+c a \)
B . \( a+b+c=0 \) and \( a^{2}+b^{2}+c^{2}=a b+b c+c a \)
C \( \cdot a+b+c \neq 0 \) and \( a^{2}+b^{2}+c^{2}=a b+b c+c a \)
D . \( a+b+c \neq 0 \) and \( a^{2}+b^{2}+c^{2} \neq a b+b c+c a \)
Subject: Physics
A thin biconvex lens of refractive index
\( 3 / 2 \) is placed on a horizontal plane mirror as shown. The space between the
lens and the mirror is then filled with
water of refractive index \( 4 / 3 . \) It is found that when a point object is placed \( 15 \mathrm{cm} \) above the lens on its principal axis, the object coincides with its own images. On representing with another liquid, the object and the image again coincide at a distance \( 25 \mathrm{cm} \) from the lens.

Calculate \( x, \) if the refractive index of the liquid is \( \frac{10+x}{10} \)
Subject: Maths
Which of the following is NOT a
quadratic polynomial?
A \( \cdot p(x)=x^{2}+4 x-16 \)
\( \mathbf{B} \cdot p(y)=y^{2}+8 y-10 \)
\( \mathbf{c} \cdot p(x)=73 x-84 \)
\( \mathbf{D} \cdot p(y)=2 y^{2}-x^{2} \)
Subject: Chemistry
Assertion
o-Nitrophenol is more acidic than meta m-Nitrophenol
Reason
o-Nitrophenol has more I effect than \( m- \)
Nitrophenol
Read the above assertion and reason
and choose the correct statement
regarding it.
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
Two resistances \( R_{1} \) and \( R_{2} \) are made of
different materials. The temperature
coefficient of the material of \( \boldsymbol{R}_{1} \) is \( \boldsymbol{\alpha} \)
and that of material of \( \boldsymbol{R}_{2} \) is \( -\boldsymbol{\beta} \). The
material of \( \boldsymbol{R}_{1} \) and \( \boldsymbol{R}_{2} \) will not change with temperature if \( \frac{\boldsymbol{R}_{1}}{\boldsymbol{R}_{2}} \) equal to
\( \mathbf{A} \cdot \frac{\alpha}{\beta} \)
В. \( \frac{\alpha+\beta}{\alpha-\beta} \)
c. \( \frac{\alpha^{2}+\beta^{2}}{2 \alpha \beta} \)
D. \( \frac{\beta}{\alpha} \)
Subject: Physics
A ball is moving with speed \( 20 \mathrm{m} / \mathrm{s} \) collides with a smooth surface as
shown in figure. The magnitude of change in velocity of the ball will be
(Smooth horizontal surface)
\( \mathbf{A} \cdot 10 \sqrt{3} \mathrm{m} / \mathrm{s} \)
B. \( 20 \sqrt{3} \mathrm{m} / \mathrm{s} \)
\( c \cdot \frac{40}{\sqrt{3}} m / s \)
D. \( 40 \mathrm{m} / \mathrm{s} \)
Subject: Biology
Pyruvic acid \( \frac{\text { Pyruvate }}{\text {dehydrogenase}} \) Acetyl CoA\( + \)
\( \boldsymbol{C O}_{2}+\boldsymbol{N a D H}_{2} \)
In this given reaction which of the following coenzyme is not used?
A. \( M g^{+}+ \)
B. \( N A D \)
c. \( C o-A \)
D. \( T P P \)
Subject: Chemistry
At \( 800 K \) hydrogen and bromine react to form hydrogen bromide. The value of equilibrium constant for this reaction is \( 5 \times 10^{8} \). Calculate the amount of
\( \boldsymbol{H}_{2}, \boldsymbol{B} \boldsymbol{r}_{2} \) and \( \boldsymbol{H} \boldsymbol{B} \boldsymbol{r} \) at equilibrium if \( \mathbf{a} \)
mixture of 0.6 mol of \( H_{2} \) and 0.2 mol of
bromine is heated to \( 700 K \)
Subject: Maths
If \( \frac{x^{2}+3}{x^{4}(x+3)}=\frac{A}{(x+3)}+\frac{B}{x}+\frac{C}{x^{2}}+\frac{D}{x^{3}}+\frac{E}{x^{4}} \)
then
Match the following with \( \mathrm{I}, \mathrm{II}, \mathrm{III}, \mathrm{IV}, \mathrm{V} \)
\( \begin{array}{ll}\text { I) } A & \text { a) } \frac{4}{9} \\ \text { (i) }\end{array} \) \begin{tabular}{ll|l} 
II) \( C \) & b) \( \frac{4}{27} \) \\
(II) \( B \) & c) \( -\frac{1}{3} \) \\
IV) \( E \) & d) \( -\frac{4}{27} \) \\
V) \( D \) & e) 1
\end{tabular}
\( A \cdot b, a, d, e, c \)
B. \( b, a, e, d, c \)
\( \mathbf{c} \cdot \mathrm{d}, \mathrm{b}, \mathrm{e}, \mathrm{a}, \mathrm{c} \)
D. a,b,c,d,e
Subject: Chemistry
In the system \( : \boldsymbol{F e}(\boldsymbol{O H})_{3(s)} \rightleftharpoons \boldsymbol{F e}_{(a q)}^{3+}+ \)
\( 3 O H_{(a q)}^{-}, \) decreasing the conc. of \( O H^{-} \) ions \( \frac{1}{3} \) times will cause the equilibrium
conc of \( F e^{3+} \) to increase
times.
\( A \cdot 3 \)
B. 9
c. 18
D. 27
Subject: Chemistry
Argon has three isotopes with relative atomic masses of 36,38 and \( 40 . \) Given that the average relative atomic mass of naturally occurring argon is 39.95 Which of the following statements must
be correct?
A. 40 Ar is less abundant than \( ^{38} \) Ar
B. \( 40 \mathrm{Ar} \) is more abundant than either \( ^{36} \mathrm{Ar} \) or \( ^{38} \mathrm{Ar} \)
C. \( 40 \mathrm{Ar},^{38} \mathrm{Ar} \) and \( ^{36} \mathrm{Ar} \) are equally abundant
D. \( 36 A r \) is more abundant than \( ^{40} A r \)
Subject: Maths
If \( \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}=\mathbf{0}, \) then \( \boldsymbol{a}^{3}+\boldsymbol{b}^{3}+\boldsymbol{c}^{3}= \)
\( k a b c, \) the value of \( ^{\prime} k^{\prime} \) is
Subject: Maths
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{0} & \mathbf{0} \\ \mathbf{0} & \mathbf{1} & \mathbf{1} \\ \mathbf{0} & -\mathbf{2} & \mathbf{4}\end{array}\right], \mathbf{6} \boldsymbol{A}^{-\mathbf{1}}=\boldsymbol{A}^{\mathbf{2}}+ \)
\( c A+d I, \) then \( (c, d) \) is equal to
A \( \cdot(-6,11) \)
в. (-11,6)
c. (11,6)
\( D \)
Subject: Chemistry
Electron transfer from \( F e\left(H_{2} O\right)_{6}^{2+} \) to \( F e\left(H_{2} O\right)_{6}^{3+} \) is likely to occur via:
A. \( d-d \) transition
B. inner sphere electron transfer
c. \( S_{N} 1 \) mechanism
D. outer sphere electron transfer
Subject: Chemistry
The decreasing order of boiling points of ethyldimethylamine, n- butylamine and diethylamine is \( n- \) Butylamine \( > \) Diethylamine > Ethyldimethylamine. This trend of the boiling point can be explained as:
A. boiling point increases with increase in molecular mass
B. tertiary amines have highest boiling point due to highest basicity
c. intermolecular hydrogen bonding is maximum in primary amines and absent in tertiary amines
D. intramolecular hydrogen bonding is present in tertiary amines
Subject: Maths
If \( \mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}, \) then the equation
\( 3 a x^{2}+2 b x+c=0 \) has at least one
root in
This question has multiple correct options
A \( .(1,2) \)
в. (0,1)
c. (-1,1)
D. (2,3)
Subject: Maths
Find the general solution of the differential equation:
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{y}}{\boldsymbol{x}}+\sin \left(\frac{\boldsymbol{y}}{\boldsymbol{x}}\right) \)
Subject: Biology
The correct sequence of taxonomic
hierarchy is
A. Genus \( \rightarrow \) Family \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \) Phylum \( \rightarrow \) Kingdom \( \rightarrow \) Species
B. Species \( \rightarrow \) Genus \( \rightarrow \) Family \( \rightarrow \) Order \( \rightarrow \) Class \( \rightarrow \)
Phylum\( \rightarrow \)Kingdom
c. Species \( \rightarrow \) Family \( \rightarrow \) Genus \( \rightarrow \) Kingdom \( \rightarrow \) Order\( \rightarrow \)Class\( \rightarrow \)Phylum
D. Species \( \rightarrow \) Genus \( \rightarrow \) Family \( \rightarrow \) Class \( \rightarrow \) Order \( \rightarrow \)
Phylum\( \rightarrow \)Kingdom
Subject: Maths
ff \( \mathbf{A}=\left[\begin{array}{cccc}\cos & \boldsymbol{\theta} & \sin & \boldsymbol{\theta} \\ \boldsymbol{s i n} & \boldsymbol{\theta} & -\boldsymbol{\operatorname { c o s }} & \boldsymbol{\theta}\end{array}\right], \mathbf{B}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{0} \\ -\mathbf{1} & \mathbf{1}\end{array}\right] \)
\( \mathbf{C}=\boldsymbol{A} \boldsymbol{B} \boldsymbol{A}^{\boldsymbol{T}} \)
then \( A^{T} C A \) equals to \( (n \quad \in \quad N) \)
A. \( \left[\begin{array}{cc}-n & 1 \\ 1 & 0\end{array}\right] \)
B. \( \left[\begin{array}{cc}1 & -n \\ 0 & 1\end{array}\right] \)
C. \( \left[\begin{array}{cc}0 & 1 \\ 1 & -n\end{array}\right] \)
D. \( \left[\begin{array}{cc}1 & 0 \\ -n & 1\end{array}\right] \)
Subject: Physics
Assertion
Newton's third law of motion is
applicable only when bodies are in
motion.
Reason
Newton's third law applies to all types of forces.e.g. gravitational, electric or magnetic forces etc.
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
If \( \overline{\boldsymbol{F}}=\mathbf{2} \overline{\boldsymbol{i}}-\mathbf{3} \overline{\boldsymbol{j}} \boldsymbol{N} \) and \( \overline{\boldsymbol{r}}=\mathbf{3} \overline{\boldsymbol{i}}+\mathbf{2} \overline{\boldsymbol{j}} \boldsymbol{m} \)
The torque \( \boldsymbol{\tau} \) is:
\( \mathbf{A} \cdot 12 \hat{k} \)
в. \( 13 \hat{k} \)
c. \( -12 \hat{k} \)
D. \( -13 \hat{k} \)
Subject: Chemistry
Baking powder contains:
\( \mathbf{A} \cdot N a H C O_{3}, C a\left(H_{2} P O_{2}\right)_{2} \) and starch
B. \( N a H C O_{3}, C a\left(H_{2} P O_{2}\right)_{2} \)
\( \mathbf{c} \cdot N a H C O_{3}, \) starch
\( \mathbf{D} \cdot N a H C O_{3} \)
Subject: Maths
If the function \( g(x) \) is defined by \( \boldsymbol{g}(\boldsymbol{x})=\frac{\boldsymbol{x}^{200}}{200}+\frac{\boldsymbol{x}^{199}}{199}+\frac{\boldsymbol{x}^{198}}{198}+\ldots .+ \)
\( \frac{x^{2}}{2}+x+5, \) then \( g^{\prime}(0)= \)
\( A \)
в. 200
\( c .100 \)
D. 5
Subject: Chemistry
Total diastereomeric and enantiomeric
pairs possible from respectively are:-
\( \boldsymbol{C H}_{3}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{3} \)
\( \boldsymbol{C l} \)
A . 2,2
B. 2,4
c. 2,3
D. 4,2
Subject: Maths
The order and degree of the differential
equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}}+\left(\frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}\right)^{3 / 2}=\boldsymbol{y} \) are
respectively
A . 1,1
в. 1,2
\( \mathrm{c} .1,3 \)
D. 2,
E .2,2
Subject: Physics
Two bodies of masses 50 g and 100 g are taken with water equivalents 10 g and 20 g respectively. Then the values of their specific heat capacities are
\[
\begin{array}{l}
\text { cal } g^{-1} C^{-1} \text {and } \\
\text { cal } g^{-10} C^{-1}
\end{array}
\]
A \( \cdot \frac{1}{5} \) and \( \frac{1}{5} \)
B \cdot \( \frac{1}{3} \) and \( \frac{1}{3} \)
C \( \cdot \frac{11}{5} \) and \( \frac{11}{5} \)
D. \( \frac{1}{2} \) and \( \frac{1}{2} \)
Subject: Chemistry
Select the correct statements(s)
This question has multiple correct options
A. For the same charge and the same size, a pseudo noble gas type cation with \( 18 e^{-} \) in the outermost shell is more polarizing than the cation of noble gas type with \( 8 e^{-} \) in the outermost shel
B. The degree of covalency increases in descending a group in the transition metal ions for a particular oxidation state
C. Size increases in descending a group in the transition metal ions for a particular oxidation state
D. Covalency decreases in descending a group in the transition metal ions for a particular oxidation
Subject: Physics
An electric iron draws a current of \( 15 A \)
from a \( 220 V \) supply. What is the cost of using iron for 30 min everybody for 15 days if the cost of unit is 2 rupees?
\( (1 u n i t=1 k W h) \)
A . Rs 49.50
B. Rs 60
c. Rs 40
D. Rs 10
Subject: Physics
A ray of light is reflected by two parallel
plane mirrors \( \boldsymbol{X} \) and \( \boldsymbol{Y} \)
Which statement is correct?
A. The angle of incidence at mirror \( X \) is \( 30^{\circ} \)
B. The angle of incidence at mirror \( Y \) is 60
C. The angle of reflection at mirror \( X \) is \( 120^{\circ} \)
D. The angle of reflection at mirror \( Y \) is \( 0^{\circ} \)
Subject: Chemistry
Hydrolysis of \( \mathbf{N C l}_{3} \) gives \( \mathbf{N H}_{3} \) and \( \mathbf{X} \) Which of the following is \( X ? \)
\( A \cdot H C l O_{4} \)
в. \( \mathrm{HClO}_{3} \)
c. HOCl
D. \( \mathrm{HClO}_{2} \)
Subject: Chemistry
The correct reagents used in the
conversion are:
\( \mathbf{A} \cdot p=B r_{2} \quad q=a l c . K O H \quad r=N a O H \quad s=A l_{2} O_{3} \)
B \( \cdot p=H B r q=a l c . K O H r=C a C_{2} s=K M n O_{4} \)
C \( \cdot p=H B r \quad q= \) alc. \( K O H \quad r=N a N H_{2} s= \)
red hot irontube
D \( \cdot p=B r_{2} \quad q= \) alc. \( K O H \quad r=N a N H_{2} \quad s= \)
red hot irontube
Subject: Chemistry
The IUPAC name of
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{\mathbf{3}}\right)_{\boldsymbol{6}}\right]\left[\boldsymbol{C r}\left(\boldsymbol{C}_{\boldsymbol{2}} \boldsymbol{O}_{\boldsymbol{4}}\right)_{\boldsymbol{3}}\right] \)
is
A. Hexaamminecobalt (III) tris (Oxalato) chromate (III)
B. Hexaamminecobalt (III) tris (Oxalato) chromium (III)
C. Hexaamminecobalt (II) tris (Oxalato) chromium (III)
D. Hexaamminecobalt (III) trisoxalatochromate (III)
Subject: Physics
When two identical wires on a
sonometer are kept under same tension, their fundamental frequency is \( 500 H z . \) In order to produce five beats per second, the percentage change in the tension of one of the wires will be:
A . \( 2 \% \)
B. \( 4 \% \)
\( c .6 \% \)
D. \( 8 \% \)
Subject: Chemistry
1 mole of ice at \( 0^{\circ} \mathrm{C} \) and \( 4.6 \mathrm{mm} \) Hg
pressure is converted to water vapour at a constant temperature and pressure.
Find \( \Delta H \) if the latent heat of fusion of
ice is 80 Cal/gm and latent heat of
vaporization of liquid water at \( 0^{\circ} \mathrm{C} \) is
596 Cal per gram and the volume of ice in comparison to that of water (vapour) is neglected.
A. 14.53 Kcal/mol
в. 12.16 Kcal/mol
c. \( 10.22 \mathrm{Kcal} / \mathrm{mol} \)
D. 15.62 Kcal/mol
Subject: Maths
In the diagram, \( \ell \) and \( m \) are parallel line.
The sum of the angles \( A \), Band \( C \) marked
in the diagram is-
A \( \cdot 180^{\circ} \)
B \( .270^{\circ} \)
\( c \cdot 360^{\circ} \)
D. \( 300^{\circ} \)
Subject: Maths
Mohan lends Rs.4,800 to John for \( 4 \frac{1}{2} \) years and Rs.2,500 to Shyam for 6 years and receives a total sum of Rs.2,196 as
interest. Find the rate per cent per annum, it being the same in both the
cases.
A . २\%
B. 5\%
c. \( 6 \% \)
D. 9\%
Subject: Maths
The remainder obtained when \( t^{6}+ \) \( 3 t^{2}+10 \) is divided by \( t^{3}+1 \) is:
A \( \cdot t^{2}-11 \)
B . \( t^{3}-1 \)
\( c \cdot 3 t^{2}+11 \)
D. none of these
Subject: Physics
In the given circuit, the steady state
voltage drop
across the capacitor \( C \) is
\( A \cdot \frac{V r_{r}}{r_{2}+r_{3}} \)
B. \( \frac{V r_{r}}{r_{1}+r_{3}} \)
\( c \cdot \frac{V r_{r}}{r_{1}+r_{2}} \)
D. \( \frac{V r_{r}}{r_{1}+r_{2}} \)
Subject: Maths
Find the degree of the given algebraic expression \( \boldsymbol{a} \boldsymbol{x}^{2}+\boldsymbol{b} \boldsymbol{x}+\boldsymbol{c} \)
\( \mathbf{A} \cdot \mathbf{0} \)
B.
\( c \cdot 2 \)
D. 3
Subject: Maths
The population of a village is \( 10000 . \) If the population increases by \( 10 \% \) in the first year, by \( 20 \% \) in the second year and due to mass exodus, it decreases by \( 5 \% \) in the third year, what will be its population after 3 years?
A . 10,540
B. 11,540
c. 12,540
D. 13,540
Subject: Chemistry
Phenol reacts with acetone in the
presence of conc. Sulphuric acid to form
\( a C_{15} H_{16} O_{2} \) product. The structural
formula of the product is:
\( A \)
B.
c. \( _{X} \begin{array}{l}O-C_{6} H \\ O C_{6} H_{5}\end{array} \)
\( D \)
Subject: Maths
A chord \( A B \) is at a distance of \( 6 \mathrm{cm} \)
from the centre of a circle whose radius
is \( 6 \mathrm{cm} \) less than that of the chord \( A B \)
Then the length of the chord \( A B \) is
\( A \cdot 8 \mathrm{cm} \)
B. \( 32 \mathrm{cm} \)
c. \( 24 \mathrm{cm} \)
D. \( 16 \mathrm{cm} \)
Subject: Maths
The line \( A D \) is divided in the ratio of
\( A B: B C: C D=1: 3: 4 . \) If \( A B= \)
\( 0.8 \mathrm{cm}, \) calculate the length of \( A D \)
A . \( 3.5 \mathrm{cm} \)
B. \( 6.4 \mathrm{cm} \)
c. \( 5.89 \mathrm{cm} \)
D. \( 6.5 \mathrm{cm} \)
Subject: Physics
The truth table given is for which gate?
\( \begin{array}{ccc}\mathbf{A} & \mathbf{B} & \mathbf{Y} \\ 0 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array} \)
\( A \cdot X O R \)
B. OR
C . AND
D. NAND
Subject: Physics
The Poisson's ratio of a material is \( 0.5 . \) If
a force is applied to a wire of this material, there is a decrease in the
cross-sectional area by \( 4 \% \). The percentage increase in the length is:
A . \( 1 \% \)
B. 2\%
\( c .2 .5 \% \)
D. \( 4 \% \)
Subject: Chemistry
When galvanic cell is started, with
passage of time:
This question has multiple correct options
A. spontaneity of the cell reaction decreases; \( E_{c e l l} \) decreases
B. reaction quotient Q decreases; \( E_{\text {cell}} \) increases
C . reaction quotient \( \mathrm{Q} \) increases; \( E_{c e l l} \) decreases
D. at equilibrium \( Q=K_{c} ; E_{c e l l}=0 \)
Subject: Physics
Q Type your question-
uniform transverse magnetic field B.
The field occupies a region of space by width 'd'. If ' \( \alpha \) ' be the angle of deviation
of proton from initial direction of motion (see figure), the value of \( \sin \alpha \) will be:
\( ^{\text {A }} \cdot B d \sqrt{\frac{q}{2 m V}} \)
B. \( \frac{B}{d} \sqrt{\frac{q d}{m V}} \)
\( ^{\mathbf{C}} \cdot q V \sqrt{\frac{B d}{2 m}} \)
D. \( \frac{B}{d} \sqrt{\frac{q}{2 m V}} \)
Subject: Physics
Charge \( q \) is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f \( \mathrm{Hz} \) The magnitude of magnetic induction at the center of the ring is
\( \mathbf{A} \cdot \underset{2 \pi \Omega}{\operatorname{maf}} \)
B. \( \frac{\text {иоя}}{2 R} \)
c. \( \frac{\mu q}{2 f R} \)
D. \( \frac{\mu_{\text {Ho }}}{2 \pi / R_{R}} \)
Subject: Physics
Assertion
Warming a room by a heat blower is an example of forced convection.
Reason
Natural convection takes place due to gravity
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