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A ray of light incident normally on the
horizontal face of the slab and just fail
to emerge from the diagonal face of the
prism. If prism angle is \( 30^{\circ} \) then
refractive index of the prism can be
\( A \cdot \sqrt{2} \)
B. \( \sqrt{3} \)
c. slightly greater than 2
D. slightly less than 2
| 3 |
Physics
|
Show that the current leads the voltage by an angle \( \frac{\pi}{2} \) in an ac circuit containing a pure capacitor.
| 3 |
Physics
|
If \( a \) is inversely proportional to \( b \) and \( b \)
is inversely proportional to \( c \) then what
is proportionality between \( a \) and \( c ? \)
A. Direct
B. Inverse
c. No proportionality
D. can't be determinal
| 2 |
Maths
|
If one of the zeroes of the quadratic
polynomial \( (k-1) x^{2}+k x+1 \) is -3
then the value of \( k \) is.
A \( \cdot \frac{4}{3} \)
в. \( \frac{-4}{3} \)
\( c \cdot \frac{2}{3} \)
D. \( \frac{-2}{3} \)
| 2 |
Maths
|
A rod \( 100 \mathrm{cm} \) long and of \( 2 \mathrm{cm} \times 2 \mathrm{cm} \)
cross-section is subjected to a pull of 1000kg force. Modulus of elasticity of
the material is \( 2.0 \times 10^{6} k g / c m^{2} . \) If the
elongation of the rod is \( x \mathrm{mm} \), find the
value of \( 40 x \)
| 3 |
Physics
|
Select the correct statement.
A. Heterotrophs do not synthesise their own food.
B. Heterotrophs utilise solar energy for photosynthesis.
C. Heterotrophs synthesise their own food.
D. Heterotrophs are capable of converting carbon dioxide and water into carbohydrates.
| 0 |
Biology
|
Which of the following substituents will decrease the acidic strength of phenol?
A. \( -N O_{2} \)
B. \( -C N \)
\( \mathrm{c} \cdot-C H_{3} \)
D. - \( C H O \)
| 1 |
Chemistry
|
Which of the following compounds has
zero dipole moment?
\( A \)
B.
\( c \)
D
| 1 |
Chemistry
|
Four particles of masses \( m, m, 2 m \) and
\( 2 m \) are placed at the four corners of a
square of side \( a \) as shown in the figure.
The magnitude of the gravitational
force acting on a particle of mass \( \boldsymbol{m} \)
placed at the centre of the square is
\( ^{\mathbf{A}} \cdot \frac{2 G m^{2}}{a^{2}} \)
в. \( \frac{G m^{2}}{\sqrt{2} a^{2}} \)
c. \( \frac{G m^{2}}{2 a^{2}} \)
\( D \)
| 3 |
Physics
|
Use Euclid's division lemma to find the
HCF of the following
16 and 176
A . 16
B. 14
c. 10
D. 12
| 2 |
Maths
|
From the following information, find the equation of Hyperbola and the equation of its Transverse Axis:
Focus \( :(-2,1), \) Directrix \( : 2 x-3 y+ \) \( \mathbf{1}, \boldsymbol{e}=\frac{\mathbf{2}}{\sqrt{\mathbf{3}}} \)
| 2 |
Maths
|
In Youngs expt., the distance between two slits is \( \mathrm{d} / 3 \) and the distance
between the screen and the slits is \( 3 D \)
The number of fringes in \( 1 / 3 \) m on the screen, formed by monochromatic light of wavelength \( 3 \lambda, \) will be?
A \( \cdot \frac{d}{9 D \lambda} \)
B. \( \frac{d}{27 D \lambda} \)
c. \( \frac{d}{81 D \lambda} \)
\( D \cdot \frac{d}{D \lambda} \)
| 3 |
Physics
|
Specific heat depends on........................
and
| 3 |
Physics
|
If some or all of \( n \) things be taken at a
time, prove that the number of
combinations is \( 2^{n}-1 \)
| 2 |
Maths
|
The area of a circle is \( 24.64 . m^{2} \) What is
the circumference of the circle?
A . \( 14.64 m \)
B. 16.36 m
c. \( 17.60 m \)
D. \( 18.40 m \)
| 2 |
Maths
|
Allyl chloride is a ............... compound while vinyl chloride is inert towards
nucleophilic substitution.
A. reactive
B. mildly reactive
c. not reactive
D. netural
| 1 |
Chemistry
|
A body is thrown vertically upwards and rises to a height of \( 10 \mathrm{m} \). The time taken
by the body to reach the highest point is
A. 1.43 s
B. 4.1 s
c. 1.24 s
D. 2.86 s
| 3 |
Physics
|
A sample of 0.50 g of an organic compound was treated according to Kjeldahl's method. The ammonia evolved was absorbed in \( 50 \mathrm{mL} \) of \( 0.5 \mathrm{M} \)
\( H_{2} S O_{4} \).The residue acid required \( 60 \mathrm{mL} \)
of 0.5 M solution of \( N a O H \) for
neutralisation. What would be the
percentage composition of nitrogen in the compound?
A. 50
B. 60
c. 56
D. 44
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left(\begin{array}{ccc}\mathbf{8} & \mathbf{5} & \mathbf{2} \\ \mathbf{1} & \mathbf{- 3} & \mathbf{4}\end{array}\right), \) then find \( \boldsymbol{A}^{\boldsymbol{T}} \) and
\( \left(A^{T}\right)^{T} \)
| 2 |
Maths
|
Chemical pollution is mainly due to the discharge of organic \( \& \) inorganic substances released into the water.
Is the above statement correct?
A . True
B. False
| 1 |
Chemistry
|
A slender uniform rod of mass \( \mathrm{M} \) and
length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The
angular acceleration of the rod when it
makes an angle \( \theta \) with vertical is
A \( \cdot \frac{3 g}{2 l} \cos \theta \)
в. \( \frac{2 g}{3 l} \cos \theta \)
\( c \)
D.
| 3 |
Physics
|
Which of the following undergoes nucleophilic substitution exclusively by
\( \boldsymbol{S}_{N} 1 \) mechanism?
A. Ethyl chloride
B. Isopropyl chloride
c. Benzyl chloride
D. Chloro benzene
| 1 |
Chemistry
|
If \( \sum_{i=1}^{10}\left(x_{1}-15\right)=12 \) and \( \sum_{i=1}^{10}\left(x_{i}-\right. \)
15)\( ^{2}=18, \) then the S.D. of observations
\( \boldsymbol{x}_{1}, \boldsymbol{x}_{2} \ldots \ldots \ldots \ldots \boldsymbol{x}_{\mathbf{1 0}} \) is
A \( \cdot \frac{2}{5} \)
B. \( \frac{3}{5} \)
\( c \cdot \frac{4}{5} \)
D. none of these
| 2 |
Maths
|
\( 9.2 \mathrm{gm} \) of \( N_{2} O_{4}(g) \) is taken in a closed
one-litre vessel and heated till the
following equilibrium is reached
\( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \)
At equilibrium \( 50 \% \) of \( N_{2} O_{4}(g) \) is dissociated. What is the
equilibrium constant?
[in mole lit \( ^{-1} \) ] [M.wt. of \( N_{2} O_{4} \) is 92]
A. \( 0 . \)
в. 0.2
\( c \cdot 0.4 \)
D. 2
| 1 |
Chemistry
|
Battery charging equipment is generally installed:
A . in well ventilated location
B. in clean and dry place.
c. as near as practical to the battery being charged
D. in location having all above features
| 1 |
Chemistry
|
Solve:
\( \int \frac{\log x}{x^{2}} d x \)
| 2 |
Maths
|
If \( S \) identical rain drops each falling with terminal velocity v combine to form a big drop during their fall the terminal velocity of big drop formed is :
\( A \)
B. \( \frac{v}{8} \)
\( c \cdot 4 v \)
D. 2v
| 3 |
Physics
|
A long straight horizontal cable carries a current of \( 2.5 \mathrm{A} \) in the direction \( 10^{0} \)
south of west to \( 10^{0} \) north of east. The
magnetic meridian of the place
happens to be \( 10^{0} \) west of the
geographic meridian. The earth's magnetic field at the location is \( 0.33 \mathrm{G} \) and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable). (At neutral points, magnetic field due to a current carrying cable is equal and opposite to the horizontal component of earth's magnetic field.)
A. \( 15.15 \mathrm{mm} \)
B. \( 30.15 \mathrm{mm} \)
c. \( 35.15 \mathrm{mm} \)
D. \( 40.15 \mathrm{mm} \)
| 3 |
Physics
|
Assertion
During apoplastic movement of water,
water travels through the cells and their
cytoplasm.
Reason
The symplastic movement of water
occurs exclusively through the
intercellular spaces and the walls of the cells.
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
| 0 |
Biology
|
Chemically, diamond is:
A. a mixture of metal carbonates
B. pure carbon
C . a pure form of sand
D. a mixture of calcium and magnesium phosphates
| 1 |
Chemistry
|
Velocity at mean position of a particle executing SHM is \( v \), then velocity of the particle at a distance equal to half of the amplitude is
\( A \cdot \frac{\sqrt{3}}{2} v \)
B. \( \frac{2}{\sqrt{3}} v \)
\( c \cdot 2 v \)
D. \( v \)
| 3 |
Physics
|
Rakesh took a loan of Rs. 80,000 from a
bank. If the rate of interest is \( 10 \% \) per annum. Find the difference in amounts he would be paying after \( \frac{3}{2} \) years, if the interest is compounded semi-annually.
A. 92,610
00 0,610 ?
B. 92,510
c. 8945
D. 7845
| 2 |
Maths
|
Which of the following are used as an antacid to reduce acidity in stomach?
A. Sodium carbonate and magnesium hydroxide
B. Magnesium hydroxide and sodium hydroxide
c. Sodium bicarbonate and calcium hydroxide
D. Sodium bicarbonate and magnesium hydroxide
| 1 |
Chemistry
|
Of these, the most ductile metal is:
A . \( A l \)
в. \( A u \)
c. \( C u \)
D. \( A g \)
| 1 |
Chemistry
|
Which metal is used as a catalyst in the
hydrogenation of oils?
A. Iron
B. Sodium
c. Nickel
D. Gold
| 1 |
Chemistry
|
A rubber ball is brought into \( 200 \mathrm{m} \) deep water, its volume is decreased by \( 0.1 \% \) then volume elasticity coefficient of the material of ball will be:
\( \left(\text {Given } \rho=10^{3} k g / m^{3} \text { and } g=\right. \)
\( \left.9.8 m s^{-2}\right) \)
A \( \cdot 19.6 \times 10^{8} N / m^{2} \)
В. \( 19.6 \times 10^{-10} N / m^{2} \)
c. \( 19.6 \times 10^{10} N / m^{2} \)
D. \( 19.6 \times 10^{-8} N / m^{2} \)
| 3 |
Physics
|
When \( 20 g m \) of a compound
\( (A)\left(M . F .=C_{4} H_{10} O_{4}\right) \) reacts with
excess of \( C H_{3} M g B r, 14.6 L \) of \( C H_{4} \) is
obtained at STP. What is structural
formula of \( (\boldsymbol{A}) \) ?
\( A \)
B.
\( c \)
D. Both (a) \& (b)
| 1 |
Chemistry
|
ff \( C=\left[\begin{array}{cc}3 & -6 \\ 0 & 9\end{array}\right] \) find
¡) 2C
ii) \( \frac{1}{3} C \)
iii) -
| 2 |
Maths
|
Positive and negative point charges of equal magnitude are kept at \( \left(0,0 \frac{a}{2}\right) \) and \( \left(0,0 \frac{-a}{2}\right), \) respectively. The work done by the electric field when another
positive point charge is moved from \( (-a, 0,0) \) to \( (0, a, 0) \) is:
A. positive
B. negative
c. zero
D. depends on the path connecting the initial and final positions
| 3 |
Physics
|
Visual purple is found in
A. cornea
B. Cones
c. Rods
D. Retina
| 0 |
Biology
|
A surface has work function \( 3.3 e V \)
Which of the following will cause
emission?
A. \( 100 W \) incandascent lamp
B. 40 \( W \) flouroscent lamp
c. \( 20 W \) sodium lamp
D. 20 \( W \) Hg lamp
| 3 |
Physics
|
The highest temperatures recorded in 4 different countries are listed below
What is the highest temperature listed
above?
A \( \cdot 127.6^{\circ} \)
B. \( 114.8^{\circ} \mathrm{F} \)
c. \( 136.4^{\circ} \mathrm{F} \)
D . 134.0 \( ^{\circ} \)
| 3 |
Physics
|
\( = \)
\( b \)
\( b \)
\( b \)
| 3 |
Physics
|
At \( 80 C, \) the vapour pressure of pure benzene is \( 753 \mathrm{mm} \) Hg and of pure toluene \( 290 \mathrm{mm} \) Hg. Calculate the composition of a liquid in mole per cent which at \( 80 C \) is in equilibrium with the vapour containing 30 mole per cent of
benzene.
| 1 |
Chemistry
|
By selling 45 mangoes for Rs. \( 40, \) a man loses \( 20 \% \). How many should he sell for Rs. 24 so as to gain \( 20 \% \) in the transaction?
A . 18
B. 24
\( c \cdot 48 \)
D. 72
| 2 |
Maths
|
A parallel plate capacitor has a
capacity \( 80 \times 10^{-6} F \) when air is
present between the plates. The volume between the plates is then completely
filled with a dielectric slab of dielectric
constant \( 20 . \) The capacitor is now connected to a battery of \( 30 \mathrm{V} \) by wires. The dielectric slab is then removed.
Then, the charge that passes now through the wire is :
A \( \cdot 45.6 \times 10^{-3} C \)
B . \( 25.3 \times 10^{-3} C \)
C. \( 120 \times 10^{-3} C \)
D. \( 12 \times 10^{-3} C \)
| 3 |
Physics
|
If the kinetic energy of the particle is increased to 16 times previous the percentage change in the deBrogille wavelength of the particle is
| 3 |
Physics
|
Name the hormones which promotes growth and flowering in plants.
| 0 |
Biology
|
If \( \boldsymbol{f}(1)=\mathbf{1} \) and \( \boldsymbol{f}(\boldsymbol{x}+\mathbf{1})=\boldsymbol{2} \boldsymbol{f}(\boldsymbol{x})+\mathbf{1} \)
for \( \boldsymbol{x} \geq 1, \) then find the range of \( \boldsymbol{f}(\boldsymbol{x}) \)
A. \( R \)
B. A series like \( 1,3,5,7,9, \ldots \)
C. A series like \( 1,3,7,15, \ldots \)
D. \( R-\{1,3,7,15, \ldots\} \)
| 2 |
Maths
|
A small steel ball falls through a syrup
at a constant speed of \( 10 \mathrm{m} / \mathrm{s} \). If the steel ball is pulled upwards with a force equal to twice its effective weight, how fast will it move upwards?
\( A \cdot 10 \mathrm{cm} / \mathrm{s} \)
B. 20 cm/s
\( c \cdot 5 \mathrm{cm} / \mathrm{s} \)
D. \( -5 \mathrm{cm} / \mathrm{s} \)
| 3 |
Physics
|
Assertion
The ratio of radius of first orbit to
second orbit of hydrogen atom is 1: 4
Reason
Radius for each circular orbit \( = \)
\( \mathbf{0 . 5 2 9} \boldsymbol{n ^ { 2 }} \boldsymbol{\hat { A }} \)
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
| 1 |
Chemistry
|
A refrigerator placed in a room at \( 300 \mathrm{K} \) has inside temperature at \( 264 \mathrm{K} \). How many calories of heat shall be delivered
to the room for each 1 kcal of energy consumed by the refrigerator ideally
A . 7.2 kcal
B. 7.83 kcal
c. 8.33 kcal
D. 8.94 kcal
| 3 |
Physics
|
Conversion of light energy into chemical energy within the plant body was first stated by?
A. Mayer and Anderson
B. Calvin
c. Robert Mayer
D. Willstatter and Stoll
| 0 |
Biology
|
A particle executing SHM according to
the equation \( \boldsymbol{x}=\mathbf{5} \cos \left[\mathbf{2} \boldsymbol{\pi} \boldsymbol{t}+\frac{\pi}{4}\right] \) in \( \mathbf{S} \)
units. The displacement and acceleration of the particle at \( t=1.5 \) s is:
A \( .-3.0 m, 100 m s^{-2} \)
B . \( +2.54 m, 200 m s^{-2} \)
c. \( -3.54 m, 140 m s^{-2} \)
D. \( -3.55 m, 120 m s^{-2} \)
| 3 |
Physics
|
A solid copper sphere has a charge of
\( +Q \) on it. Identify the correct statement
about the charge distribution of solid
sphere?
A. \( +Q \) at the center of the sphere
B. \( Q / 2 \) at the center of the sphere and \( Q / 2 \) on the outer surface
c. \( -Q \) at the center of the sphere and \( +2 Q \) on the outer surface
D. \( +Q \) on the outer surface
E. The charge is spread evenly throughout the sphere
| 3 |
Physics
|
By what smallest number 5184 be
divided, so what the resulting number becomes a perfect cube?
| 2 |
Maths
|
Re. 1 and \( R \) s. 5 coins are available \( ( \) as
many required). Find the smallest
payment which cannot be made by these coins, if not more than 5 coins are
allowed.
\( A \cdot 3 \)
B. 12
\( c \cdot 14 \)
D. 18
| 2 |
Maths
|
If a gas is compressed adiabatically by doing work of \( 150 \mathrm{J} \), the change in the internal energy of the gas is:
A . 100 J
в. 150
c. 200 J
D. 250 J
| 3 |
Physics
|
The animals that consume plants as
food are called as
A. Herbivores
B. Saprophytes.
c. carnivores.
D. Omnivores
| 0 |
Biology
|
Potential energy increases with the
increase in :
A. work
B. Force
c. speed
D. Position
| 3 |
Physics
|
(1) Latent heat of steam is 540 cal/gm. Express this in Sl units.
(2) A liquid has a mass of \( 200 \mathrm{gm} \) and a
specific heat capacity of \( 0.8 c a l / g m / C^{o} \) Find water equivalent of the liquid.
| 3 |
Physics
|
How much should a sum of Rs. 16000
approximately amount to in 2 years at \( 10 \% \) p.a compounded half yearly?
A. Rs. 17423
B. Rs. 18973
c. Rs. 19448
D. Rs. 19880
| 2 |
Maths
|
The least length of the thread required to construct a rectangle of area 256 \( c m^{2} \) is
A . 32
B. 64
\( c \cdot 40 \)
D. 58
| 2 |
Maths
|
The angles of a quadrilateral are in \( \boldsymbol{A} . \boldsymbol{P} \)
whose common difference is \( 10^{0}, \) then
the first angle in \( A . P . \) is
| 2 |
Maths
|
What are the different types of graphs?
| 2 |
Maths
|
How many chromosomes will be in cells of human, produced by meiosis?
A . 46
B. 69
\( c \cdot 23 \)
D. 100
| 0 |
Biology
|
Express the following angle in degree \( \left(-\frac{7 \pi}{12}\right)^{c} \)
| 2 |
Maths
|
When electric current is passed through a conducting solution, there is a change of colour of the solution. This indicates
A. the chemical effect of current
B. the heating effect of current.
c. the magnetic effect of current
D. the lightning effect of current
| 3 |
Physics
|
\( 4 d, 5 p, 5 f \) and \( 6 p \) orbitals are arranged in the order of decreasing energy.The correct option is:
A \( .5 f>6 p>5 p>4 d \)
в. \( 6 p>5 f>5 p>4 d \)
c. \( 6 p>5 f>4 d>5 p \)
D. \( 5 f>6 p>4 d>5 p \)
| 1 |
Chemistry
|
Assertion
Statement-1: \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{S i}-\boldsymbol{O H} \) is more
acidic than \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C}-\boldsymbol{O H} \)
Reason
Statement-2: \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{S i}-\boldsymbol{O H} \) has
back bonding.
A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-
B. Statement-1 is true, statement-2 is true and statement-2 is not the correct explanation for statement-1.
c. Statement- 1 is true, statement- 2 is false
D. Statement-1 is false, statement-2 is true.
| 1 |
Chemistry
|
The position of a particle moving along \( \mathbf{x} \) -axis given by \( \boldsymbol{x}=\left(-\mathbf{2} \boldsymbol{t}^{3}+\mathbf{3} \boldsymbol{t}^{2}+\mathbf{5}\right) \boldsymbol{m} \)
The acceleration of particle at the instant its velocity becomes zero is
A \( \cdot 12 \mathrm{m} / \mathrm{s}^{2} \)
B . \( -12 \mathrm{m} / \mathrm{s}^{2} \)
c. \( -6 m / s^{2} \)
D. zero
| 3 |
Physics
|
Assertion
Work done by friction depends upon
displacement of the body.
Reason
Frictional force is non-conservative.
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
| 3 |
Physics
|
Assertion
The largest term in the sequence \( a_{n}= \) \( \frac{n^{2}}{n^{3}+200}, n \in N \) is the 7 th term.
Reason
The function \( f(x)=\frac{x^{2}}{x^{3}+200} \) attains
local maxima at \( x=7 \)
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
| 2 |
Maths
|
Who named positive and negative charges?
A. Faraday
B. Gauss
c. Benjamin Franklin
D. Curie
| 3 |
Physics
|
In a collinear collision, a particular with
an initial speed \( v_{0} \) strikes a stationary
particle of the same mass. If the final
total kinetic energy is \( 50 \% \) greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is?
\( A \cdot \frac{v_{0}}{2} \)
в. \( \frac{v_{0}}{\sqrt{2}} \)
c. \( \frac{v_{0}}{4} \)
\( D \cdot \sqrt{2} v_{0} \)
| 3 |
Physics
|
\( f\left(\begin{array}{cc}4 & 8 \\ -2 & -4\end{array}\right] \) find \( A^{2} \)
| 2 |
Maths
|
An ideal gas is enclosed in a cylinder with a movable piston on top of it. The
piston has a mass of \( 8000 g \) and an
area of \( 5.00 \mathrm{cm}^{2} \) and is free to slide up
and down, keeping the pressure of the gas constant. How much work in
Joules is done on the gas as the
temperature of 0.200 mol of the gas is
raised from \( 20.0^{\circ} \mathrm{C} \) to \( 300^{\circ} \mathrm{C} ? \)
| 3 |
Physics
|
Property of the alkaline earth metals
that increases with their atomic
number:
A. solubility of their hydroxides in water
B. solubility of their sulphates in water
c. ionization energy
D. electronegativity
| 1 |
Chemistry
|
what is the proauct or the rollowıng
reaction?
\( c \)
2
| 1 |
Chemistry
|
During the preparation of phenol from benzene sulfonic acid, which of the
following reagents is be used?
A . \( N a O H \)
в. \( \operatorname{NaHSO}_{4} \)
c. \( N a_{2} S O_{4} \)
D. \( N a C l \)
| 1 |
Chemistry
|
Show that volume expansion coefficient is three times the linear
expansion coefficient for a solid.
| 3 |
Physics
|
Define the following terms with an example in each case:
(i) Macromolecular sol
(ii) Peptization
(iii) Emuslion
| 1 |
Chemistry
|
A lilac-coloured flame is produced on heating.
A. Potassium in a flame
B. Cobalt in a flame
c. Sodium in a flame
D. Methane in oxygen
| 1 |
Chemistry
|
Sum the following series to n terms and to infinity \( \frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\dots . \)
| 2 |
Maths
|
A ray of light from a denser medium strikes a rarer medium at an angle of incidence \( i . \) If the reflected and
refracted rays are mutually perpendicular to each other then the critical angle is :
\( A \cdot \sin ^{-1}(\tan i) \)
B. \( \cos ^{-1}(\tan i) \)
\( c \cdot \cot ^{-1}(\tan i) \)
D. \( \operatorname{cosec}^{-1}(\tan i) \)
| 3 |
Physics
|
Atoms combine to form:
A. large atoms
B. molecules
c. mixtures
D. none of the above
| 1 |
Chemistry
|
Give example to prove that microbes release gases during metabolism.
| 0 |
Biology
|
For a first order reaction, \( \boldsymbol{A} \rightarrow \) Product
the rate of reaction at \( [\boldsymbol{A}]=\mathbf{0 . 2} \) mol \( \boldsymbol{L}^{-1} \)
is \( 1.0 \times 10^{-2} \) mol \( L^{-1} \) min \( ^{-1} . \) The half-
life period for the reaction is:
A \( \cdot 832 \) s
B. 440 s
\( \mathbf{c} \cdot 416 \mathrm{s} \)
D. 14 s
| 1 |
Chemistry
|
Evaluate the following integrals:
\( \int \cot ^{5} x \operatorname{cosec}^{4} x d x \)
| 2 |
Maths
|
Write the periodic properties which always increases along the periodic table in moving from left to right?
| 1 |
Chemistry
|
Find the sum of minimum and
maximum values of \( y \) in \( 4 x^{2}+12 x y+ \)
\( \mathbf{1 0 y}^{2}-\mathbf{4 y}+\mathbf{3}=\mathbf{0} \)
| 2 |
Maths
|
In this diol:
\( \mathbf{A} \cdot O H^{-} \) at \( C_{2} \) is more basic than that of at \( C_{5} \)
B. \( O H^{-} \) at \( C_{2} \) is more acidic than at \( C_{5} \)
C. both have same basicity
D. both have same acidic strength
| 1 |
Chemistry
|
For the differential equation
\( \left(1+y+x^{2} y\right) d x+\left(x+x^{3}\right) d y=0 \)
\( y\left(\frac{\pi}{4}\right)=0 \) then find the absolute value
of the constant.
| 2 |
Maths
|
Function \( f(x)=|x-2|-2|x-4| \) is
discontinous at:
A . \( x=2,4 \)
B. \( x=2 \)
C. No where
D. Except \( x=2 \)
| 2 |
Maths
|
An element \( A \) decays into element \( C \) by
the following two step processes:
\( \boldsymbol{A} \longrightarrow_{2} \boldsymbol{H} \boldsymbol{e}^{\boldsymbol{4}}+\boldsymbol{B} \)
\( \boldsymbol{B} \longrightarrow \mathbf{2}\left(_{-1} \boldsymbol{e}^{0}\right)+\boldsymbol{C} \)
Select pair for isobars from elements
\( A, B \) and \( C \)
| 3 |
Physics
|
Evaluate \( \lim _{x \rightarrow 8} \frac{\sqrt{1+\sqrt{1+x}-2}}{x-8} \)
A \( \cdot \frac{3}{2} \)
B. \( \frac{1}{4} \)
c. \( \frac{1}{24} \)
D. None of these
| 2 |
Maths
|
Isopleth for depth is
A. Isobaths
B. Isohaline
c. Isohyet
D. None of these
| 0 |
Biology
|
Solve
\( |\mathbf{7}| \times|-\mathbf{4}| \)
| 2 |
Maths
|
When a person is exposed to cold
surrounding, which of the following
does not occur?
A. Secretion of adrenal medulla and thyroid increases
B. Shivering occurs
C. Vasoconstriction occurs in the skin vessels, supplying blood to hair
D. Heart beat and volume of blood per stroke increases
| 0 |
Biology
|
In the following figures, \( A B C D \) is a
rhombus. Find the values of \( x \) and \( y \)
\( \mathbf{A} \cdot 50^{\circ}, 50^{\circ} \)
B \( \cdot 30^{\circ}, 50^{\circ} \)
c. \( 20^{\circ}, 50 \)
D. None of these
| 2 |
Maths
|
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