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A car is going with a linear momentum
p. When brakes are applied, it comes to
a stop in a distance \( s \). If the same car
were going with a linear momentum \( 2 p \) and the brakes are applied, it comes to a stop in a distance of (assume that the
brake force is same in the two cases)
\( \mathbf{A} \cdot 2 s \)
B.
c. \( 4 s \)
D.
| 3 |
Physics
|
Intra-molecular hydrogen bonding is found in:
A. salicyldehyde
B. water
c. acetaldehyde
D. phenol
| 1 |
Chemistry
|
\( 0.73 g \) of organic compound gave \( 0.6 g \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
The \( \% \) of \( \mathrm{H} \) in the organic compound is:
A \( \cdot 10.24 \)
B. 12.42
c. 9.13
D. 8.25
| 1 |
Chemistry
|
An extremely long wire is uniformly charged. An electron is revolving around the wire and making \( 10^{8} \) revolutions per
second in an orbit of radius \( 2 \mathrm{cm} \). Linear
charge density of the wire is nearly?
A. \( 50 n C / m \)
B. \( 25 n C / m \)
c. \( 40 n C / m \)
D. \( 12.5 n C / m \)
| 3 |
Physics
|
Which of the following pairs of ions have the same electronic configuration?
A \( \cdot C u^{2+}, C r^{2+} \)
B . \( F e^{3+}, M n^{2+} \)
c. \( C o^{3+}, N i^{3+} \)
D. \( S c^{3+}, C r^{3+} \)
| 1 |
Chemistry
|
What is saturated solution explain with one example?
| 1 |
Chemistry
|
(a) What is lymph?
(b) Draw a labelled diagram of human
excretory system.
(c) How plants excrete waste products? Explain.
| 0 |
Biology
|
Motion which repeats itself after regular
intervals.
A. oscillatory motion
B. vibratory motion
c. periodic motion
D. none
| 3 |
Physics
|
Fluidity of cell membranes in cold
weather is maintained by
A. Increasing number of phospholipids with unsaturated hydrocarbon tails
B. Increasing the proportion of integral proteins
C. Increasing concentration of cholesterol in membrane
D. Increasing the number of phospholipids with saturated hydrocarbon tails
| 0 |
Biology
|
Factorize the following expression
\( 8 x^{3}-27 y^{3} \)
\( \mathbf{A} \cdot(2 x-3 y)\left(4 x^{2}+6 x y+9 y^{2}\right) \)
B \( \cdot(2 x+3 y)\left(4 x^{2}+6 x y+9 y^{2}\right) \)
\( \mathbf{c} \cdot(2 x-3 y)\left(4 x^{2}-6 x y+9 y^{2}\right) \)
D. None of these
| 2 |
Maths
|
Pertaining to endocrine system, what will you interpret if :
¡) You observe swollen neck in people living in the hills
ii) Over secretion of growth Hormone takes place during childhood
iii) Facial hair develops in body aged 13
| 0 |
Biology
|
A cyclic process is shown in the
figure.Work done during isobaric
expansion is:
A . 1600
B. 100
c. 400
D. 600
| 3 |
Physics
|
Which of the following halide does not contain a lone pair of electrons on the
central atom:
A \( \cdot \mathrm{PCl}_{3} \)
в. \( \mathrm{NCl}_{3} \)
c. \( \mathrm{AsCl}_{3} \)
D. PCI
| 1 |
Chemistry
|
A straight horizontal conducting rod of length \( 0.45 \mathrm{m} \) and mass \( 60 \mathrm{g} \) is suspended by two vertical wires at its ends. A current of \( 5.0 \mathrm{A} \) is set up in the rod through the wires.
(a) What magnetic field should be set up normal to the conductor in order that
the tension in the wires is zero?
(b) What will be the total tension in the wires if the direction of current is
reversed keeping the magnetic field same as before?(Ignore the mass of the wires.) \( g=9.8 m s^{-2} \)
| 3 |
Physics
|
Name the hormone secreted by the
thymus gland.
| 0 |
Biology
|
The purine \( \& \) pyrimidine pairs of complementry strands of DNA are held together by
A. H bonds
B. O bonds
c. c bonds
D. N bonds
| 0 |
Biology
|
Torque is the cause of:
A. Translatory motion
B. Rotatory motion
c. oscillatory motion
D. Combine translatory and rotatory motion
| 3 |
Physics
|
Which of these do not form Grignard
reagent?
A \( . C H_{3} C l \)
в. \( C H_{3} F \)
\( \mathrm{c} \cdot C H_{3} B r \)
D. \( C H_{3} I \)
| 1 |
Chemistry
|
The length of wire increases by \( 9 \mathrm{mm} \) when weight of \( 2.5 \mathrm{kg} \) is hung from the free end of wire. If all conditions are kept
the same and the radius of wire is made
thrice the original radius, find the increase in length.
| 3 |
Physics
|
Which is the hottest part in the flame of the candle?
A. Blue
B. Yellow
c. Black
D. Wax part
| 1 |
Chemistry
|
What are the Cathode Rays?
| 3 |
Physics
|
Let \( \boldsymbol{f}:[\mathbf{1}, \mathbf{3}] \rightarrow \mathbf{R} \) be a continuous
function that is differentiable in \( (\mathbf{1}, \mathbf{3}) \)
and \( f^{\prime}(x)=|f(x)|^{2}+4 \) for all \( x \in(1,3) \)
Then?
This question has multiple correct options
A \( . f(3)-f(1)=5 \) is true
B. \( f(3)-f(1)=5 \) is false
c. \( f(3)-f(1)=7 \) is false
D. \( f(3)-f(1)<0 \) only at one point of (1,3)
| 2 |
Maths
|
The non terminating non-recurring decimal cannot be represented as
A. irrational numbers
B. rational numbers
c. real numbers
D. none of these
| 2 |
Maths
|
The separation between two coherent
point sources is \( 3 \lambda . \) On a line
perpendicular to \( S_{1} S_{2} \) and passing
through \( S_{2} \). Find the smallest distance
where minimum of intensity occurs:
A \( \cdot \frac{11 \lambda}{20} \)
B. \( \frac{\lambda}{2} \)
c. \( \frac{9 \lambda}{20} \)
D. \( \frac{35 \lambda}{4} \)
| 3 |
Physics
|
The magnetic force per unit length on a wire carrying a current of \( 10 \mathrm{A} \) and
making an angle of \( 45^{0} \) with the direction of a uniform magnetic field of \( 0.20 \mathrm{T} \) is
A \( \cdot 2 \sqrt{2} N m^{-1} \)
B. \( \frac{2}{\sqrt{2}} N m^{-1} \)
\( ^{c} \cdot \frac{\sqrt{2}}{2} N m^{-1} \)
D. \( 4 \sqrt{2} N m^{-1} \)
| 3 |
Physics
|
The mole fraction of methanol in 4.5
molal aqueous solution is:
A. 0.250
B. 0.125
c. 0.100
D. 0.075
E. 0.055
| 1 |
Chemistry
|
Assertion
Taxon and category are same things.
Reason
Systematic shows hierarchical
classification.
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
|
The slope of the velocity time graph for retarded motion is
A. positive
B. negative
c. zero
D. can be +ve,- -ve or zero
| 3 |
Physics
|
A convex lens forms an image of an object on a screen. The height of the image is \( 9 \mathrm{cm} . \) The lens is now displaced until an image is again obtained on the screen. The height of this image is \( 4 \mathrm{cm} . \) The distance
between the object and the screen is 90
\( \mathrm{cm} \)
A. The distance between the two positions of the lens is 30 \( \mathrm{cm} \)
B. The distance of the object from the lens in its first position is 36 \( \mathrm{cm} \)
c. The height of the object is \( 6 \mathrm{cm} \)
D. The focal length of the lens is 21.6 \( \mathrm{cm} \)
| 3 |
Physics
|
The least count of a stop watch is 0.2 second.The time of 20 oscillations of a
pendulum is measured to be 25 seconds.The percentage error in time period is
A . 16\%
в. 0.8\%
c. \( 1.8 \% \)
D. 8\%
| 3 |
Physics
|
On the parabola \( y=x^{2}, \) the point least
distant from the straight line \( y=2 x- \)
4 is
\( \mathbf{A} \cdot(1,1) \)
B \( \cdot(1,0) \)
c. (1,-1)
D \( \cdot(0,0) \)
| 2 |
Maths
|
\( \boldsymbol{C H}_{3}-\boldsymbol{C O O H}+\boldsymbol{X} \rightarrow \) Fruity
smell compound. Then, X is :
A. aldehyde
B. chloroform
c. alcohol
D. base
| 1 |
Chemistry
|
A torque of \( 0.5 N m \) is required to drive a screw into a wooden frame with the help of a screw driver. If one of the two forces
of couple produced by screw driver is
\( \mathbf{5 0} N, \) the width of the screw driver is:
\( \mathbf{A} \cdot 0.5 \mathrm{cm} \)
B. \( 0.75 \mathrm{cm} \)
\( c \cdot 1 c m \)
D. \( 1.5 \mathrm{cm} \)
| 3 |
Physics
|
Represent the Relative motion of body in the graphs:
Two objects moving with unequal velocities in same direction
| 3 |
Physics
|
Assertion
During covalent bonding the electro negativity difference between two
atoms is greater than 1.7
Reason
Covalent bond is formed by sharing of
electrons between atoms that have
same size
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
| 1 |
Chemistry
|
A mixture of ethane \( \left(C_{2} H_{6}\right) \) and ethene
\( \left(C_{2} H_{4}\right) \) occupies 40 litre at 1.00 atm
and at \( 400 \mathrm{K} \). The mixture reacts
completely with 130 g of \( O_{2} \) to produce \( C O_{2} \) and \( H_{2} O . \) Assuming ideal gas behaviour, calculate the mole fractions
of \( C_{2} H_{6} \) in the mixture and write
numerical value (upto 2 digit only) after decimal point only (as for 0.19, write 19).
| 1 |
Chemistry
|
Cubes of Negative integers are negative
A. True
B. False
c. Ambiguous
D. Data insufficient
| 2 |
Maths
|
A monochromatic ray of light falls on a regular prism. What is the relation between angle of incidence and angle of emergence in the case of minimum deviation?
| 3 |
Physics
|
In a certain Bohr orbit, the total energy
is \( -4.9 e V . \) For this orbit, the kinetic
energy, and potential energy are
respectively:
A. \( 9.8 e V,-4.9 e V \)
в. \( 4.9 e V,-9.8 e V \)
c. \( 4.9 e V,-4.9 e V \)
D. \( 9.8 e V,-9.8 e V \)
| 1 |
Chemistry
|
The \( E_{\text {cell}} \) for a given cell is 1.2346 and
\( 1.2340 V \) at \( 300 \mathrm{K} \) and \( 310 \mathrm{K} \)
respectively. Calculate the change in
entropy during the cell reaction if the redox change involves three electrons.
A. \( -17.37 \mathrm{JK}^{-1} \)
B. \( +17.37 J K^{-1} \)
c. \( 173.7 J K^{-1} \)
D. \( 5.79 J K^{-1} \)
| 1 |
Chemistry
|
Which of the following on hydrolysis gives sulfuric acid?
A. sulfur trioxide
B. sulfur dioxide
c. sulfur oxide
D. none of above
| 1 |
Chemistry
|
Which element has twice as many
electrons in its second shell as
compared to its first shell?
A. Calcium
B. Nitrogen
c. oxygen
D. carbon
| 1 |
Chemistry
|
Powder is a lubricant
A. True
B. False
c. None
D. Can't say
| 3 |
Physics
|
Find the circumference of the
semicircle whose diameter is 4 cm.
A. \( 3.46 \mathrm{cm} \)
B . \( 5.89 \mathrm{cm} \)
\( \mathbf{c} \cdot 6.28 \mathrm{cm} \)
D. \( 10.28 \mathrm{cm} \)
| 2 |
Maths
|
In above shown figure, a point charge \( +\mathrm{Q} \) is fixed in position and five points are near the charge. An electric field is created by a point charge, then find out the point where the magnitude of the electric field would be least :
\( A \)
B. B
\( c \cdot c \)
\( D \)
E.
| 3 |
Physics
|
ff \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) and \( \boldsymbol{g}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) are given by
\( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}| \) and \( \boldsymbol{g}(\boldsymbol{x})=[\boldsymbol{x}] \) for each \( \boldsymbol{x} \in \)
\( R, \) then
\( \{\boldsymbol{x} \in \boldsymbol{R}: \boldsymbol{g}(\boldsymbol{f}(\boldsymbol{x})) \leq \boldsymbol{f}(\boldsymbol{g}(\boldsymbol{x}))\}= \)
A \( \cdot Z \cup(-\infty, 0) \)
В \( \cdot(-\infty, 0) \)
\( c . z \)
D. \( R \)
| 2 |
Maths
|
The vapour pressure of ethanol and methanol are 44.5 mm \( H g \) and 88.7 mm \( H g \) respectively. An ideal
solution is formed at the same
temperature by mixing \( 60 g \) of ethanol with \( 40 g \) of methanol. The total vapour pressure of the solution and the mole
fraction of methanol in the vapour are respectively:
A. \( 43.46 \mathrm{mm} \) and 0.51
в. \( 66.13 \mathrm{mm} \) and 0.657
c. \( 66.15 \mathrm{mm} \) and 0.791
D. 70.59 \( m m \) and 0.657
| 1 |
Chemistry
|
The gravitational potential energy of an isolated system of three particles, each of mass \( m \), at the three corners of an
equilateral triangle of side \( l \) is
\( ^{\text {A }}-\frac{G m^{2}}{l} \)
в. \( -\frac{G m^{2}}{2 l} \)
c. \( -\frac{2 G m^{2}}{l} \)
D. \( -\frac{3 G m^{2}}{l} \)
| 3 |
Physics
|
The thylakoids occur inside
A. Mitochondria
B. Chloroplast
C . Golgi apparatus
D. Endoplasmic reticulum
| 0 |
Biology
|
Find the point of intersection of the
lines represented by \( 3 x-2 y=6 \) and
the y-axis.
| 2 |
Maths
|
Dissolution of a non-volatile solute into
a liquid leads to the-
A. Decrease of entropy.
B. Increase in tendency of the liquid to freeze
c. Increase in tendency to pass into the vapour phase.
D. Decrease in tendency of the liquid to freeze
| 1 |
Chemistry
|
During calcination:
A. carbonate ores are changed into oixdes
B. oxide ores are changed into carbonates
C. carbonate ores are changed into sulhides
D. oxide ores are changed into sulphides
| 1 |
Chemistry
|
Which metal(s) can be used to produce electrons by the photoelectric effect from given source of light?
A. Barium only
B. Barium or lithium
c. Lithium, tantalum or tungsten
D. Tungsten or tantalum
| 3 |
Physics
|
The current in an AC circuit is
represented by \( i=5 \sin \left(300 t-\frac{\pi}{4}\right) \)
where, t is in seconds and current is in amperes. Then, the frequency of AC is
\( A \cdot 50 \mathrm{Hz} \)
B. 47.75 Hz
\( c \cdot 30 \) Нz
D. 25 Hz
| 3 |
Physics
|
Number of hydroxy groups present in phosphoric acid :
A.
B. 2
\( c \cdot 3 \)
\( D \)
| 1 |
Chemistry
|
A bag contains 5 white, 7 red and 3 black balls. If a ball is chosen at
random, then find the probability that it
is not red.
| 2 |
Maths
|
A submarine that is not moving sends out a sonar sound wave travelling at \( 200 \mathrm{m} / \mathrm{s}, \) which reflects off a boat back
to the submarine. The sonar crew
detects the reflected wave 8 s after it
was send out. how far away is the boat from the submarine?
A. \( 8000 m \)
в. \( 80 m \)
c. \( 800 m \)
D. \( 9000 m \)
| 3 |
Physics
|
The gas which burns with blue flame is:
A. \( C O \)
в. \( O_{2} \)
c. \( N_{2} \)
D. \( C O_{2} \)
| 1 |
Chemistry
|
The largest possible variance of a binomial variate is
A \( . n \)
в. \( \frac{n}{2} \)
c. \( \frac{n}{4} \)
D. \( \frac{n}{6} \)
| 2 |
Maths
|
Determine whether or not the definition
of \( * \) On \( Z^{+} \) define \( * \) by \( a * b=|a-b| \)
gives a binary operation. If the event that \( * \) is not a binary operation give justification of this.
| 2 |
Maths
|
Find \( \frac{d y}{d x} \) if \( y=\frac{x^{2}+x}{2} \)
| 2 |
Maths
|
a. By which process do green plants synthesize their food?
b. Name the factors which take part in
this process.
c. Write the chemical equation of the above process.
| 0 |
Biology
|
Which of the following xenon compounds may not be obtained by hydrolysis of xenon fluorides?
A. \( X e O_{2} F_{2} \)
в. \( X e O F_{4} \)
\( \mathbf{c} \cdot X e O_{3} \)
D. \( X e O_{4} \)
| 1 |
Chemistry
|
Given the linear equation \( 2 x+3 y- \)
\( 8=0, \) write another linear equation in
two variables such that geometrical representation of the pair so formed is
(i) intersecting lines
(ii) Parallel lines
(iii) coincident lines
| 2 |
Maths
|
Reaction by which Benzaldehyde cannot
be prepared is:
\( \mathbf{A} \)
in \( \mathrm{CS}_{2} \) followed by \( \mathrm{H}_{3} \mathrm{O}^{-} \)
\( B \)
in presence of Pd-BaSO
\( \mathbf{C} \)
presence of anhydrous AlCl
D.
and conc. HCl
| 1 |
Chemistry
|
If \( a^{2}+b^{2}=34 \) and \( a b=12 ; \) find
\( 7(a-b)^{2}-2(a+b)^{2} \)
A . 48
B. -46
c. -45
D. 46
| 2 |
Maths
|
The elements \( (z=117 \text { and } 120) \) have
not yet been discovered in which family or group would you place these elements and also give electronic
configuration in each case?
| 1 |
Chemistry
|
After spending \( 69 \% \) of his monthly earnings a man saves \( R s .2108 . \) Find his
monthly income.
| 2 |
Maths
|
A mixture of hydrogen and helium is prepared such that the number of wall collisions per unit time by molecules of each gas is the same. Which gas has the higher concentration?
A. Helium
B. Hydrogen
c. Both have same concentration
D. None of these
| 1 |
Chemistry
|
State whether the following statements are true or false.
A person can expel all the air from lungs by a forceful expiration
A. True
B. False
| 0 |
Biology
|
High molecular weight polymers consisting of monosaccharide-
repeating units (monomers).
| 0 |
Biology
|
Human being are different in their colour size etc but yet they belong to same species. Explain.
| 0 |
Biology
|
In a normal pregnant woman, the
amount of total gonadotropin activity
was assessed. The result expected was.
A. High level of circulating FSH and LH in the uterus to stimulates implantation of the embryo
B. High level of circulating HCG to stimulate endometrial thickening
C. High level of FSH and LH in uterus to Stimulate endometrical thickening
D. High level of circulating HCG to stimulate estrogen and progesterone synthesis
| 0 |
Biology
|
Which has the highest boiling point?
A. \( 0.1 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4} \)
В. \( 0.1 M C_{6} H_{12} O_{6} \)
c. \( 0.1 \mathrm{M} \) М \( g \) Са\( _{2} \)
D. \( 0.1 \mathrm{M} \) Аl \( \left(\mathrm{NO}_{3}\right)_{3} \)
| 1 |
Chemistry
|
Which of the following inequations
represents the shaded region?
A. \( 2 x+y \leq 4 \)
B. \( 2 x+y \geq 4 \)
c. \( x+2 y \leq 4 \)
D. \( x+2 y \geq 4 \)
| 2 |
Maths
|
The normal capacity of percolation tank
is
A. \( 7.0 \mathrm{mm} / \mathrm{day} \)
B. 7.87 mm/day
c. \( 5.87 \mathrm{mm} / \mathrm{day} \)
D. 0.87 mm/day
| 0 |
Biology
|
At a moment in a progressive wave, the phase of a particle executing \( \mathrm{SHM} \) is \( \frac{\pi}{3} \) Then the place of the particle \( 15 \mathrm{cm} \) ahead and at time \( \frac{T}{2} \) will be, if the wavelength is \( 60 \mathrm{cm} \)
A. zero
в. \( \frac{\pi}{2} \)
c. \( \frac{5 \pi}{6} \)
D. \( \frac{2 \pi}{3} \)
| 3 |
Physics
|
Choose best option about cavity for a charged metallic sphere:
A. Net field inside the cavity is zero
B. Net field inside the metal is non-zero constant
c. Potential inside the metal is constant
D. Potential outside metal is constant
| 3 |
Physics
|
Give the number of periods and groups in Modern Periodic Table.
| 1 |
Chemistry
|
If \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{20^{x}+3^{x}-6^{x}-10^{x}}{1-\cos 8 x} ; \text { for } x \neq 0 \\ \left(\frac{k}{16}\right) \log \left(\frac{10}{3}\right) \cdot \log 2 ; \text { for } x=0\end{array}\right. \)
continous at \( x=0, \) then the value of \( k \)
is
\( A \cdot \sin ^{2} 30^{\circ} \)
B. \( \log _{3}\left(\frac{1}{2}\right) \)
\[
3
\]
\( c \cdot \sqrt[3]{1} \)
D. \( \frac{\log 2^{2}}{3} \)
| 2 |
Maths
|
Temporary hardness of water is due to
the presence of the sulphates of Ca and Mg. If this is true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
Let there be two integers such that one integer is 3 more than the other and
their product is \( 70 . \) Find the two integers.
A. 7 and 10
B. 6 and 9
c. 10 and 13
D. 12 and 14
| 2 |
Maths
|
\( \boldsymbol{x}=(-1)^{a^{1}}+(-1)^{a^{2}}+\ldots . .(-1)^{a^{1006}} \)
\( \boldsymbol{y}=(-1)^{a^{1007}}+(-1)^{a^{1008}}+\ldots+ \)
\( (-1)^{a^{2013}} \)
Then which of the following is true?
\( \mathbf{A} \cdot(-1)^{x}=1 ;(-1)^{y}=1 \)
B . \( (-1)^{x}=1 ;(-1)^{y}=-1 \)
C \( \cdot(-1)^{x}=-1 ;(-1)^{y}=1 \)
D \cdot \( (-1)^{x}=-1 ;(-1)^{y}=-1 \)
| 2 |
Maths
|
f \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\mathbf{0 . 8}, \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{0}, \mathbf{3} \)
\( \operatorname{then} P(\bar{A})+P(\bar{B})= \)
A . 0.3
в. 0.5
\( c .0 . \)
D. 0.9
| 2 |
Maths
|
\( \begin{array}{ll}\text { List }-1 & \text { List }-2 \\ \text { Fraction } & \text { Temperature } \\ \text { A) Heavy oil } & \text { 1) } u p t o 170^{0} C \\ \text { B) Anthracene oil } & \text { 2) } 170^{0}-230^{0} C \\ \text { C) Light oil } & \text { 3) } 230^{0}-270^{0} C \\ \text { D) Middle oil } & \text { 4) } 270^{0}-400^{0} C\end{array} \)
\( \mathbf{A} \)
\( A-2, B-4, C-3, D-1 \)
B \( . A-1, B-2, C-3, D-4 \)
\( \mathbf{c} \cdot A-3, B-1, C-4, D-2 \)
D \( . A-3, B-4, C-1, D-2 \)
| 1 |
Chemistry
|
Displacement time equation of a particle executing SHM is \( x=4 \) sin\omegat +3 \( \sin \left(\omega t+\frac{\pi}{3}\right) \) here \( x \) is in centimeter and
\( t \) is in seconds. The amplitude of oscillation of the particle is approximately:
A. \( 5 \mathrm{cm} \)
B. 6 \( \mathrm{cm} \) m
\( c \cdot 7 \mathrm{cm} \)
D. \( 9 \mathrm{cm} \)
| 3 |
Physics
|
Glycolysis is the breakdown of glucose to pyruvic acid. How many molecules of pyruvic acid are formed from one
molecule of glucose?
\( A \cdot 1 \)
B . 2
\( c .3 \)
\( D .4 \)
| 0 |
Biology
|
According to laws of reflection, angle of incidence is equal to the angle of reflection. This statement:
A. holds good i rrespective of shape of the reflecting surface
B. holds good only for plane reflecting surface
c. holds good only for curved reflecting surface
D. never holds good
| 3 |
Physics
|
The decomposition of \( N H_{3} \) on finely
divided platinum follows the rate expression, Rate \( =\frac{\boldsymbol{k}_{\mathbf{1}}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]}{\mathbf{1}+\boldsymbol{k}_{2}\left[\boldsymbol{N} \boldsymbol{H}_{3}\right]} \)
It is a first order reaction when
concentration of \( \boldsymbol{N} \boldsymbol{H}_{3} \) is:
A. very low
B. very high
c. moderate
D. never
| 1 |
Chemistry
|
A mixture of He, Ne, Kr and Xe is cooled,
Which one of them condenses first?
A . \( x_{e} \)
B. Ne
c. \( \mathrm{kr} \)
D. не
| 1 |
Chemistry
|
A depletion in the water table of a place is caused by which of the following?
A. Constructing factories and houses
B. Making concrete roads and floors
c. Deforestation
D. All of these
| 1 |
Chemistry
|
In a double slit experiment, the separation between the slits is \( d=0.25 \) \( \mathrm{cm} \) and the distance of the screen \( \mathrm{D}= \)
\( 100 \mathrm{cm} \) from the slits, If the wavelength of light used is \( \lambda=6000 \mathrm{A} \) and \( \mathrm{I}_{0} \) is the
intensity of the central bright fringe, the intensity at a distance \( y=4 \times 10^{-5} \mathrm{m} \)
from the central maximum is
A . \( I_{0} \)
в. \( I_{0} / 2 \)
c. \( 3 I_{0} / 4 \)
D. \( I_{0} / 3 \)
| 3 |
Physics
|
Solve the differential equation:
\( \left(x^{2}-1\right) \frac{d y}{d x}+2(x+2) y=2(x+1) \)
\( \frac{y(x+1)^{3}}{x+1}=\left\{\frac{(x+1)^{2}}{2}-4(x+1)+4 \log (x+1)\right\}+c \)
\( \frac{y(x-1)^{3}}{x+1}=\left\{\frac{(x+1)^{2}}{2}-4(x+1)+4 \log (x+1)\right\}+c \)
\( \frac{y(x-1)^{3}}{x-1}=\left\{\frac{(x+1)^{2}}{2}-4(x+1)+4 \log (x+1)\right\}+c \)
D. None of these
| 2 |
Maths
|
If \( i^{2}=-1, \) then \( i^{162} \) is equal to
A. \( -i \)
B. -
\( c \cdot 0 \)
D.
\( E \)
| 2 |
Maths
|
The number of photons falling per second on a completely darkened plate
to produce a force of \( 6.62 \times 10^{-5} \mathrm{N} \) is 'n'
If the wavelength of the light falling is \( 5 \times 10^{-7} m, \) then \( n=_{-1-}---\times 10^{22} \)
\( \left(h=6.62 \times 10^{-34} J-s\right) \)
A . 1
B. 5
\( c .0 .2 \)
D. 3.3
| 3 |
Physics
|
Assertion
A beam of white light gives a spectrum on passing through a hollow prism.
Reason
Speed of light outside the prism is different from the speed of light inside
the prism.
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
| 3 |
Physics
|
Properties of substances like pressure, temperature and density, in thermodynamic coordinates are
A. path function
B. point function
c. cyclic function
D. real function
| 1 |
Chemistry
|
Fitness according to Darwin refers
to
A. Number of species in a community
B. Useful variation in population
C. Strength of an individual
D. Reproductive fitness of an organism
| 0 |
Biology
|
If the distance between nuclei is \( 2 x \)
\( 10^{-13}, \) the density of nuclear material
is:
(mass of neuclei \( \left.=10^{-27}\right) \)
\( \begin{array}{ll}\text { A } \cdot 3.21 \times 10^{-12} & k g / m^{3}\end{array} \)
В . \( 1.6 \times 10^{-3} \mathrm{kg} / \mathrm{m}^{3} \)
D. \( 1 \times 10^{17} \mathrm{kg} / \mathrm{m}^{3} \)
| 1 |
Chemistry
|
Express the following as a rational number i.e. in the form \( \frac{a}{b} ; \) where \( a, b \in I \) and \( \boldsymbol{b} \neq \mathbf{0} \)
\( \mathbf{0 . 5 6 2 5} \)
A \( \cdot \frac{9}{16} \)
в. \( \frac{9}{14} \)
c. \( \frac{9}{19} \)
D. \( \frac{9}{13} \)
| 2 |
Maths
|
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