AkshitPareek2004/jee-question-analyzer-data huggingface dataset:
Subject: Physics
An electron of mass \( m_{e}, \) initially at rest,
move through a certain distance in a
uniform electric field in time \( t_{1} . A \)
proton of mass \( m_{p}, \) also, initially at rest
takes time \( t_{2} \) to move through an equal distance in this uniform electric field.
Neglecting the effect of gravity, the ratio \( t_{2} / t_{1} \) is nearly equal to
A. 1
в. \( _{\left(m_{p} / m_{e}\right)^{1 / 2}} \)
\( ^{\mathbf{c}} \cdot\left(m_{e} / m_{p}\right)^{1 / 2} \)
D. 1836
Subject: Chemistry
If \( 1.0 \mathrm{g} \) body is traveling along the \( \mathrm{x} \) -axis at \( 100 \mathrm{cm} \mathrm{s}^{-1} \) within error limits of ±1
\( \mathrm{cm} \mathrm{s}^{-1}, \) what is the uncertainty in its
position?
\( \mathbf{A} \cdot 5 \times 10^{-30} \mathrm{m} \)
B. \( 5 \times 10^{-31} \mathrm{m} \)
c. \( 5 \times 10^{-20} \mathrm{m} \)
D. \( 5 \times 10^{-10} \mathrm{m} \)
Subject: Chemistry
Assertion
Van-Arkel method is used to prepare samples of some metals.
Reason
It involves the reaction of \( \mathrm{CO} \) with
metals to form volatile carbonyls that decompose on heating to give pure metal

Read the above assertion and reason
and choose the correct option regarding
¡t.
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
Show that the points \( \boldsymbol{A}(-\mathbf{3} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}}+\mathbf{5} \hat{\boldsymbol{k}}), \boldsymbol{B}(\hat{\boldsymbol{i}}+\mathbf{2} \hat{\boldsymbol{j}}+\mathbf{3} \hat{\boldsymbol{k}}), \boldsymbol{C} \)
are collinear.
Subject: Chemistry
What is a hydrogen bond?
A. An attraction between a slightly positive hydrogen on one molecule and a slightly negative atom on another molecule.
B. An attraction between a slightly negative hydrogen on one molecule and a slightly positive atom on another molecule.
C. A very weak force within an atom.
D. A weak attraction between the carbon and hydrogen within a molecule.
E. An attraction between a slightly negative hydrogen on one molecule and a slightly positive atom on the same molecule.
Subject: Chemistry
If the percentage of nitrogen in an organic compound is \( 12.5 \% \), then how much of the organic compound should
be taken? so as to produce \( 50 m l \) of \( N_{2} \)
at \( 300 K \) and 715 mm pressure. [Aq. tension \( =15 \) mm]
A. \( 0.419 g \)
\( g \)
в. \( 0.0149 g \)
c. \( 0.914 g \)
D. \( 0.941 g \)
Subject: Chemistry
A gaseous hypothetical chemical
equation \( 2 A \rightleftharpoons 4 B+C \) is carried out
in a closed vessel. The concentration of \( B \) is found to be increase by \( 5 x \)
\( 10^{3} \) mol. \( L^{-1} . \) in 10 seconds. The rate of
appearance of \( B \) is:
A \( \cdot 5 \times 10^{2} \mathrm{molL}^{-1} \mathrm{sec}^{-1} \)
B. \( 5 \times 10^{5} \mathrm{mol} \mathrm{L}^{-1} \mathrm{sec}^{-1} \)
c. \( 6 \times 10^{-5} \mathrm{mol} \mathrm{L}^{-1} \mathrm{sec}^{-1} \)
D. \( 4 \times 10^{-4} \mathrm{mol} \mathrm{L}^{-1} \mathrm{sec}^{-1} \)
Subject: Maths
Given \( \boldsymbol{a}=\boldsymbol{i}+\boldsymbol{j}-\boldsymbol{k}, \boldsymbol{b}=-\boldsymbol{i}+\boldsymbol{2} \boldsymbol{j}+\boldsymbol{k} \)
and \( c=-i+2 j-k \) a unit vector
perpendicular to both \( a+b \) and \( b+c \) is
\( \mathbf{A} \cdot i \)
B.
c. \( k \)
D. \( (i+j+k) / \sqrt{3} \)
Subject: Maths
If \( D, E, F \) are respectively the midpoints of the sides \( A B, B C, C A \) of \( \Delta A B C \) and the area of \( \Delta A B C \) is
\( 24 s q . c m, \) then the area of \( \Delta D E F \) is:
\( \mathbf{A} \cdot 24 \mathrm{cm}^{2} \)
B. \( 12 \mathrm{cm}^{2} \)
c. \( 8 \mathrm{cm}^{2} \)
D. \( 6 \mathrm{cm}^{2} \)
Subject: Chemistry
Formation of polyethylene from calcium carbide takes place as given
below:
\( \boldsymbol{C a C}_{2}+\mathbf{2 H}_{2} \boldsymbol{O} \rightarrow \boldsymbol{C a}(\boldsymbol{O H})_{2}+\boldsymbol{C}_{2} \boldsymbol{H}_{2} \)
\( \boldsymbol{C}_{2} \boldsymbol{H}_{2}+\boldsymbol{H}_{2} \rightarrow \boldsymbol{C}_{2} \boldsymbol{H}_{4} \)
\( \boldsymbol{n} \boldsymbol{C}_{2} \boldsymbol{H}_{4} \rightarrow\left(-\boldsymbol{C} \boldsymbol{H}_{2}-\boldsymbol{C} \boldsymbol{H}_{2}-\right)_{n} \)
The amount (in kg) of polyethylene
obtained from 64.1 kg of \( C a C_{2} \) is
A. 7
B. 14
c. 21
D. 28
Subject: Chemistry
Select the correct order of polarizing
power of cation.
\( \mathbf{A} \cdot N a^{+}<M g^{2+}<S i^{4+}<A l^{3+} \)
B. \( M g^{2+}>S i^{4+}>A l^{3+}>N a^{+} \)
\( \mathbf{C} \cdot N a^{+}<M g^{2+}<A l^{3+}<S i^{4+} \)
\( \mathbf{D} \cdot A l^{3+}<S i^{4+}<M g^{2+}<N a^{+} \)
Subject: Maths
A point P moves in xy-plane In such a way that \( [|x|]+[|y|]=1 \) were [.] denotes the greatest integer function. Area of the region representing all possible positions of the point 'P' is equal to
A. 4 sq. units
B. 16 sq. units
c. \( 2 \sqrt{2} \) sq. units
D. 8 sq. units
Subject: Maths
\( \left(\frac{1}{64}\right)^{0}+(64)^{\frac{-1}{2}}+(32)^{\frac{4}{5}}-(32)^{\frac{-4}{5}} \) is
equal to
A \( \cdot_{16} \frac{1}{8} \)
в. \( 17 \frac{1}{8} \)
c. \( _{17} \frac{1}{16} \)
D. \( -17 \frac{1}{16} \)
Subject: Maths
For what value(s) of a will the two points \( (1, a, 1) \) and \( (-3,0, a) \) lie on opposite
sides of the plane \( 3 x+4 y-12 z+ \)
\( \mathbf{1 3}=\mathbf{0} ? \)
A \( . a<-1 \) or \( a>1 / 3 \)
B. \( a=0 \) only
\( c \cdot 0<a<1 \)
D. \( -1<a<1 \)
Subject: Physics
An alternating current of \( 1.5 m A \) and
angular frequency 300 rad/sec flows
through a \( 10 K \Omega \) resistor and a \( 0.50 \mu F \) capacitor in series. find the rms voltage across the capacitor and impedance of the circuit?
A \( \cdot 1.2 \times 10^{4} \Omega ; 10 V \)
B . \( 10^{4} \Omega ; 10^{4} V \)
c. \( 1.0 \times 1.0^{4} \Omega ; 50 V \)
D. \( 10 \Omega ; 10 v \)
Subject: Chemistry
Which of the following pairs of species could be a buffer?
\( A \cdot H^{+} \) and \( \left.C\right|^{-} \)
B. \( \mathrm{H}_{2} \mathrm{CO}_{3} \) and \( \mathrm{HCO}_{3}^{-} \)
c. \( \mathrm{Na}^{+} \) and \( \mathrm{NO}_{3}^{-} \)
D. Nat and OH
E. \( \mathrm{HNO}_{3} \) and \( \mathrm{NO}_{3}^{\text {. }} \)
Subject: Physics
A charged oil drop falls with terminal
velocity \( v_{0} \) in the absence of electric
field. An electric field E keeps it stationary. The drop acquires additonal charge \( q \) and starts moving upwards with velocity \( v_{0} . \) The initial charge on
the drop was
\( A \cdot 4 q \)
B. 2a
\( c \cdot q \)
D. \( \frac{q}{2} \)
Subject: Maths
Solve the following quadratic equations by factorization method:
\( \mathbf{3}\left(x^{2}-6\right)=x(x+7)-3 \)
A \( \cdot\left\{-\frac{3}{2}, 5\right\} \)
в. \( \left\{\frac{3}{2}, 5\right\} \)
\( ^{c} \cdot\left\{-\frac{3}{2},-5\right\} \)
D. None of these
Subject: Chemistry
The degree of hydrolysis of a salt of weak acid and weak base in its \( 40.1 M \)
solution is found to be \( 50 / \% \). If the molarity of the solution is \( 0.2 M, \) the percentage hydrolysis of the salt should
be
A . \( 100 \% \)
B . 50\%
c. \( 25 \% \)
D. none of the above
Subject: Maths
Two coins are tossed once, where
(i) \( E: \) tail appears on one coin, \( \boldsymbol{F}: \) one
coin shows head
(ii) \( E: \) no tail appears, \( \boldsymbol{F}: \) no head
appears
Determine \( \boldsymbol{P}(\boldsymbol{E} \mid \boldsymbol{F}) \)
A .1,0
в. 1,0.2
c. 0,2
D. 1,3
Subject: Physics
Two radioactive sample \( A \) and \( B \) have
half \( T_{1} \) and \( T_{2}\left(T_{1}>T_{2}\right) \) respectively. At
\( T=0, \) the activity of a \( B \) was twice the activity of A. Their activity will become equal after a time:
A. \( \frac{T_{1} T_{2}}{T_{1}-T_{2}} \)
в. \( \frac{T_{1}-T_{2}}{2} \)
c. \( \frac{T_{1}+T_{2}}{2} \)
D. \( \frac{T_{1} T_{2}}{12} \)
Subject: Maths
D is any point on AC in \( A B C . \) Now,
\( \boldsymbol{P}, \boldsymbol{Q}, \boldsymbol{X}, \boldsymbol{Y} \) are the mid points of \( \mathbf{A B}, \mathbf{B C} \)
AD and DC respectively. Show that \( P X= \)
\( \mathrm{QY} \)
Subject: Maths
If \( \cos \alpha=\frac{3}{5} \) and \( \cos \beta=\frac{5}{13}, \) then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot \cos (\alpha+\beta)=\frac{33}{65} \)
B. \( \sin (\alpha+\beta)=\frac{56}{65} \)
c. \( \sin ^{2} \frac{\alpha-\beta}{2}=\frac{1}{65} \)
D \( \cos (\alpha-\beta)=\frac{63}{65} \)
Subject: Chemistry
What is the correct structure of \( 1,2- \)
Dichloropropane?
A. \( C H_{3}-C H C l-C H C l_{2} \)
в. \( C H_{3}-C H C l-C H_{2} C l \)
\( \mathrm{c} \cdot C H_{3}-C C l_{2}-C H_{3} \)
D. \( C H_{3}-C H_{2}-C H C l_{2} \)
Subject: Physics
Assertion: Metal ions must be present in a solution used for electroplating a particular metal.

Reason: Electroplating occurs only on
anode.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false
Subject: Chemistry
The vapour pressure of a solution containing 2 g of an electrolyte BA in 100 g water which dissociates in one
\( B^{+} \) and one \( A^{-} \) ion in water is \( 751 \mathrm{mm} \)
at \( 100^{\circ} \mathrm{C} . \) Percentage degree of
ionisation of BA if its molar mass is 56
g \( m o l^{-1} \) (write answer after dividing
degree of dissociation by 80 to the nearest integer) is
Subject: Maths
p and q are straight lines. If \( \angle a= \)
\( \angle \boldsymbol{b}=\angle \boldsymbol{c}=\angle \boldsymbol{d}, \) find \( \angle \boldsymbol{a} \)
\( \mathbf{A} \cdot 97^{\circ} \)
B \( .49 .5^{\circ} \)
\( \mathbf{c} \cdot 19.4^{\circ} \)
D \( .24 .25^{\circ} \)
Subject: Chemistry
The product in the following reaction is:
\( \boldsymbol{P h}-\boldsymbol{C l}+\boldsymbol{F e} / \boldsymbol{B r}_{2} \longrightarrow \) Product
A . o-bromo-chloro benzene
B. p-bromo-chloro benzene
c. both of the above
D. 2,4,6-tribromo chloro benzene
Subject: Maths
The area of the smaller part bounded by the semi-circle \( y=\sqrt{4-x^{2}}, y=x \sqrt{3} \)
and \( x \) -axis is
A \( \cdot \frac{\pi}{3} \)
в. \( \frac{2 \pi}{3} \)
c. \( \frac{4 \pi}{3} \)
D. none of these
Subject: Biology
Assertion
Cell wall is not found in an animal cell.
Reason
Animal cells are covered by cell
membrane.
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
Assertion: If a man with a wrist watch
on his hand falls from the top of a tower, its watch gives correct time during the
free fall.
Reason :The working of the wrist
watch depends on spring action and it has nothing to do with 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
Subject: Physics
The half-life of tritium is 12.5 years
What mass of tritium of initial mass 64
mg will remain undecayed after 50
years?
A. \( 32 \mathrm{mg} \)
B. \( 8 \mathrm{mg} \)
c. \( 16 \mathrm{mg} \)
D. \( 4 \mathrm{mg} \)
Subject: Physics
A non-zero current passes through the galvanometer F shown in the circuit
when the key 'K' is closed and its value
does not change when the key is opened. Then which of the following statement(s) is/are true?
This question has multiple correct options
A. The galvanometer resistance is infinite
B. The current through the galvanometer is \( 40 \mathrm{mA} \)
c. After the key is closed, the current through \( 200 \Omega \) resistor is same as the current through the \( 300 \Omega \) resistor
D. The galvanometer resistance is \( 150 \Omega \)
Subject: Physics
What is the change in the volume of 1.0 L kerosene, when it is subjected to an extra pressure of \( 2.0 \times 10^{5} N m^{-2} \) from
the following data? Density of kerosene \( =800 \mathrm{kg} \mathrm{m}^{-3} \) and speed of sound in kerosene \( =1330 \mathrm{ms}^{-1} \)
\( A \cdot 0.97 \mathrm{cm}^{-3} \)
B. \( 0.66 \mathrm{cm}^{-3} \)
c. \( 0.15 \mathrm{cm}^{-3} \)
D. \( 0.59 \mathrm{cm}^{-3} \)
Subject: Chemistry
The energy difference between the
ground state of an atom and its excited
state is \( 3 \times 10^{-19} J . \) What is the
wavelength of the photon required for this transition?
A \( .494 .5 \times 10^{-6} m \)
В. \( 3 \times 10^{-8} \mathrm{m} \)
c. \( 1.8 \times 10^{-7} \mathrm{m} \)
D. \( 6.6 \times 10^{-7} m \)
Subject: Physics
Light propagates \( 2 \mathrm{cm} \) distance in
glass of refractive index 1.5 in time \( t_{0} \)
In the same time \( t_{0}, \) light propagates a
distance of \( 2.25 \mathrm{cm} \) in a medium. The
refractive index of the medium is :
A \( .4 / 3 \)
B. \( 3 / 2 \)
\( c \cdot 8 / 3 \)
D. none of these
Subject: Maths
As shown in the figure \( \boldsymbol{A C}= \)
\( \boldsymbol{C D}, \angle \boldsymbol{C A B}-\angle \boldsymbol{A B C}=\mathbf{3 0}^{\circ} . \) Then
\( \angle B A D \) has a measure of:
A \( \cdot 15^{\circ} \)
B. 30
\( c \cdot 20 \)
\( \left(22 \frac{1}{2}\right)^{\circ} \)
Subject: Maths
The foci of an ellipse are \( \boldsymbol{S}(-1,-1), \boldsymbol{S}^{\prime}(0,-2) \) and its \( \mathbf{e}=\frac{1}{2} \)
then the equation of the directrix corresponding to the focus \( S \) is :
A. \( x-y+3=0 \)
в. \( x-y+7=0 \)
c. \( x-y+5=0 \)
D. \( x-y+4=0 \)
Subject: Maths
Solve: Value of \( \boldsymbol{D}=\left|\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{a}^{2} & \boldsymbol{b}^{2} & \boldsymbol{c}^{2}\end{array}\right| \) is
Subject: Physics
The length I, breadth b, and thickness t of a block of wood were measured with
the help of a measuring scale. The results with permissible errors (in cm )
are
\( l=15.12+_{0} .01, b=10.15+0 \)
\( .01, \) andt \( =5.28+0.01 \)
The percentage error in volume up to proper significant figures is
A. \( 0.28 \% \)
B. \( 0.35 \% \)
c. \( 0.48 \% \)
D. \( 0.64 \% \)
Subject: Physics
Water from a tap emerges vertically downwards with an initial speed of
\( 1.0 m s^{-1} . \) The cross-sectional area of
the tap is \( 10^{-4} m^{2} \). Assume that the
pressure is constant throughout the stream of water and that the flow is
steady. The cross-sectional area of the
stream \( 0.15 m \) below the tap is \( (g= \)
\( 10 m s^{-2} \)
В. \( 1.0 \times 10^{-5} \mathrm{m}^{2} \)
D. \( 2.0 \times 10^{-5} \mathrm{m}^{2} \)
Subject: Maths
The domain of the function \( f(x)= \)
\( \frac{\sqrt{5-x}}{(x+1)(x-2)(x-3)}+ \)
\( a \sin ^{-1}\left[\frac{2 x-5}{3}\right] ; a \neq 0 \) and \( [\cdot] \) denotes
greatest integer function, is:
A \( \cdot[1,5]-\{2,3\} \)
3
B . [1,2)\( \cup(3,5] \)
c. \( \left[1, \frac{11}{2}\right) \)
D・ [1,5]
Subject: Maths
Prove
\[
\left|\begin{array}{ccc}
x^{2} & y^{2} & z^{2} \\
(x+1)^{2} & (y+1)^{2} & (z+1)^{2} \\
(x-1)^{2} & (y-1)^{2} & (z-1)^{2}
\end{array}\right|=
\]
\( -4(x-y)(y-z)(x-z) \)
Subject: Chemistry
Select the correct option regarding the
properties of dioxygen?
A. Dioxygen never reacts with metals
B. Dioxygen is diamagnetic in nature.
C. Combination of dioxygen with other elements is highly exothermic process
D. Dioxygen liquefies at \( 55 \mathrm{K} \) and freezes at \( 90 \mathrm{K} \)
Subject: Maths
The area between the curve \( y^{2}=9 x \) and
the line \( y=3 x \) is
A \( \cdot \frac{1}{3} \) sq. units
B. \( \frac{8}{3} \) sq. units
c. \( \frac{1}{2} \) sq, units
D. \( \frac{1}{5} \) sq. units
Subject: Chemistry
Choose the correct statement from the
following.
A. The greater positive value of \( E_{o p}^{o} \) indicates greater reactivity of metal
B. \( F^{-} \) is strong oxidant while \( C u^{2+} \) is weak reductant
C. The metals placed above \( M g \) in the electrochemical series do not decompose water at ordinary temperature
D. Oxides of \( H g \) do not decompose on heating
Subject: Chemistry
What amount of \( C a C l_{2}(i=2.47) \) is
dissolved in 2 litres of water so that its
osmotic pressure is 0.5 at \( m \) at \( 27^{\circ} C \)
A. \( 3.42 g \)
B. \( 9.24 g \)
c. \( 2.834 g \)
D. \( 1.820 g \)
Subject: Physics
A bar magnet, held horizontally, is set into angular oscillations in the earth's
magnetic field. Its time periods are \( T_{1} \)
and \( T_{2} \) at two places where the angles of
dip are \( \theta_{1} \) and \( \theta_{2} \) respectively. The ratio
of the resultant magnetic fields at these two places will be:
This question has multiple correct options
A. \( T_{1} \sin \theta_{1}: T_{2} \sin \theta_{2} \)
B. \( T_{\mathrm{i}} \cos \theta_{1}: T_{2} \cos \theta_{2} \)
c. \( T_{2}^{2} \sin \theta_{2}: T_{1}^{2} \sin \theta_{1} \)
D. \( T_{2}^{2} \cos \theta_{2}: T_{1}^{2} \cos \theta_{1} \)
Subject: Chemistry
Assertion
Ammonia gas collected over water by the downward displacement of air.
Reason

Ammonia is not collected over water
since it is highly soluble in water
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
reaction is (are):
Consider the following reaction
This question has multiple correct options
\( \mathbf{A} \)
(a) Under thermodynamic control is
formed as major product,
\( B \)
(b) Under kinetic condition is Formed as
major product
\( \mathbf{C} \)
formed under thermodynamic
D. Under thermodynamic control a pair of diastereomers are formed
Subject: Maths
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) for \( \boldsymbol{y}=\boldsymbol{x}^{10}+\mathbf{1 0}^{\boldsymbol{x}}+\mathbf{1 0} \boldsymbol{x}+\mathbf{1 0} \)
Subject: Chemistry
When condensation product of hexamethylenediamine and adipic acid
is heated to \( 353 \mathrm{K}\left(80^{\circ} \mathrm{C}\right) \) in an
atmosphere of nitrogen for about \( 4-5 h \) the product obtained is:
A. Solid polymer of nylon 66
B. Liquid polymer of nylon 66
c. Gaseous polymer of nylon 66
D. Liquid polymer of nylon 6
Subject: Chemistry
Which of the following statements does not show correct difference between
adsorption and absorption?
A. In adsorption, the substance is concentrated only at the surface while in absorption it is uniformly distributed in the bulk
B. Adsorption is instantaneous while absorption is a slow process
c. A substance can be adsorbed as well as absorbed simultaneously and the process is called sorption
D. only gases are adsorbed while solids and liquids are absorbed
Subject: Chemistry
Which of the following statements are
incorrect ?
\( A \cdot S O_{3} \) is a stronger oxidising agent and more, acidic
\( \operatorname{than} S O_{2} \)
B. Selenium forms only two oxoacids i. e., selenous acid \( H_{2} S e O_{3} \) ) and selenic acid \( \left(H_{2} S e O_{4}\right) \)
C. The acidic strength and oxidizing power of oxo-acids are greater in +6 oxidation state than in +4 oxidation state.
D. The thermal stability of oxides of group 16 elements decreases in the order.
\( S O_{2}>S e O_{2}>T e O_{2}>P o O_{2} \)
Subject: Physics
At what distance on the axis, from the
centre of a circular current carrying coil of radius \( r, \) the magnetic field becomes 1/8th of the magnetic field at centre?
A \( \cdot \sqrt{2} r \)
B \( \cdot 2^{3 / 2} \)
\( c \cdot r \sqrt{3} \)
D. \( 3 \sqrt{2} r \)
Subject: Biology
Assertion
Crossing over leads to recombination of genetic material on the two
chromosomes.
Reason
Crossing over is the exchange of genetic material between two homologous
chromosomes.
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
Assume the dipole model for earth's magnetic field B which is given by thevertical component of magnetic field, \( B_{V}=\frac{\mu_{o}}{4 \pi} \frac{2 m \cos \theta}{r^{3}} \) and the
horizontal component of magnetic field \( B_{H}=\frac{\mu_{o}}{4 \pi} \frac{m \sin \theta}{r^{3}}, \) where \( \theta=90^{\circ}- \)
latitude as measured from magnetic
equator, then the loci of point for which
dip angle is \( \pm \mathbf{4 5}^{\circ} \)
\( \mathbf{A} \cdot \tan ^{-1}(3) \)
\( \mathbf{B} \cdot \tan ^{-1}(2) \)
\( \mathbf{c} \cdot \tan ^{-1}(0.5) \)
\( \mathbf{D} \cdot \tan ^{-1}(1) \)
Subject: Physics
If a star is \( 5.2 \times 10^{16} \) m away. What is
the parallax angle in degrees?
A \( \cdot 1.67 \times 10^{-4} \) degrees
B . \( 1.67 \times 10^{-5} \) degrees
c. \( 0.67 \times 10^{-4} \) degrees
D. \( 2.3 \times 10^{-4} \) degrees
Subject: Physics
Lenses of powers \( 3 D \) and \( -5 D \) are
combined to from a composite lens. An object is placed at a distance of \( 50 \mathrm{cm} \)
from this lens. Calculate the position of its image.
A. \( -10 \mathrm{cm} \)
B. \( +10 \mathrm{cm} \)
c. -25 ст
D. \( +25 ~ c m \)
Subject: Maths
\( \operatorname{Let} \cos ^{-1}(x)+\cos ^{-1}(2 x)+\cos ^{-1}(3 x) \)
be \( \pi \) If \( x \) satisfies the equation \( a x^{3}+ \) \( b x^{2}+c x-1=0, \) then the value of
\( (b-a-c) \) is
Subject: Maths
The distribution of Abhishek's high
school grades by percentage of course credits is given in the circle graph.

What is Abhishek's grade point average
if each \( A \) is worth 4 points; each \( B, 3 \)
points; and each \( C, 2 \) points?
A . 3.0
B. 3.4
\( c .3 .6 \)
D. 3.7
E. Cannot be determined from the given information
Subject: Physics
The capacitive reactance at \( 1600 \mathrm{Hz} \) is
\( 81 \Omega \).When the frequency is doubled then the capacitive reactance will be:
A . \( 40.5 \Omega \)
в. \( 81 \Omega \)
\( \mathbf{c} \cdot 162 \Omega \)
D. zero
Subject: Maths
The two vectors \( \left(x^{2}-1\right) \hat{i}+(x+2) \hat{j}+ \)
\( x^{2} \hat{k} \& 2 \hat{i}-x \hat{j}+3 \hat{k} \) are orthogonal
A. For no real value of \( x \)
B. For \( x=-1 \)
\( \mathrm{c} \cdot \operatorname{For} x=\frac{1}{2} \)
D. For \( x=-\frac{1}{2} \& x=1 \)
Subject: Physics
\( \mathbf{A} \)
\( 2.0 \mathrm{cm} \) long object is placed perpendicular to the principal axis of a concave mirror. The distance of the
object from the mirror is \( 30 \mathrm{cm}, \) and its image is formed \( 60 \mathrm{cm} \) from the mirror
on the same side of the mirror as the
object. Find the height of the image formed:
A. 3 cm
в. 4 ст
\( c .5 \mathrm{cm} \)
D. \( 8 \mathrm{cm} \)
Subject: Physics
A \( 2.0 c m \) object is placed \( 15 c m \) in front
of a concave mirror of focal length \( 10 \mathrm{cm} \)
What is the size and nature of the
image?
A. \( 4 c m \), real
B. \( 4 \mathrm{cm} \), virtual
c. \( 1.0 \mathrm{cm} \), real
D. None of these
Subject: Maths
In the given figure, \( A B C D \) is a piece of
cardboard in the shape of the trapezium
in which \( A B \| D C, \angle A B C=90^{\circ} \)
From this piece, quarter circle \( B E F C \)
is removed. Given \( D C=B C=4.2 \mathrm{cm} \)
and \( A E=2 \mathrm{cm} . \) Calculate the area of
the remaining piece of the cardboard.
\( \mathbf{A} \cdot 7.98 \mathrm{cm}^{2} \)
\( \mathbf{B} \cdot 8 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 9.08 \mathrm{cm}^{2} \)
D. \( 10.08 \mathrm{cm}^{2} \)
Subject: Physics
1 \( |\Delta| \) \begin{tabular}{|l|}
\hline\( \Delta \) \\
\hline\( \square \) \\
\hline\( \square \) \\
\hline\( + \) \\
\hline
\end{tabular} \begin{tabular}{|c|}
\hline\( A \) \\
\hline\( \square \) \\
\hline
\end{tabular}
Subject: Maths
If \( z_{1}, z_{2} \) be two non zero complex
numbers satisfying the equation \( \left|\frac{z_{1}+z_{2}}{z_{1}-z_{2}}\right|=1 \) then \( \frac{z_{1}}{z_{2}}+\left(\frac{z_{1}}{z_{2}}\right) \) is
A. zero
B.
c. purely imaginary
D.