text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
On moving away from the nucleus, the successive permitted orbits are further a part in the distance, but closer in
energy'. Justify this statement.
| 1 |
Chemistry
|
The area of two holes \( A \) and \( B \) are \( 2 a \) and
\( a \) respectively. The holes are at height
\( \frac{\boldsymbol{H}}{\mathbf{3}} \) and \( \frac{\boldsymbol{2} \boldsymbol{H}}{\mathbf{3}} \) from the surface of water.
Find the correct option(s)
This question has multiple correct options
A. the velocity of efflux at hole \( B \) is 2 times the velocity of efflux at hole \( A \)
B. the velocity of efflux at hole \( B \) is \( \sqrt{2} \) time the velocity of efflux at hole
C. the discharge is same through both the holes
D. the discharge through hole A is \( \sqrt{2} \) time the discharge through hole
| 3 |
Physics
|
Two sources of equal emf are connected
to an external resistance R. The internal
resistance of the two sources are \( \boldsymbol{R}_{1} \)
\( \operatorname{and} R_{2}\left(R_{1}>R_{2}\right) . \) If the potential
difference across the source having
internal resistance \( \boldsymbol{R}_{2} \) is zero, then:
A. \( R=R_{2}-R_{1} \)
в. \( \quad R=\frac{R_{2}\left(R_{2}+R_{1}\right)}{R_{2}-R_{1}} \)
\( c \cdot R=\frac{R_{2} R_{1}}{R_{2}-R_{1}} \)
D. \( R=\frac{R_{2} R_{1}}{R_{1}-R_{2}} \)
| 3 |
Physics
|
The distance between two parallel wires carrying current of \( 1 A \) is 1 m. The force per unit length between the conductors
is
A \( \cdot 2 \times 10^{7} N m^{-1} \)
В. \( 2 \times 10^{-7} \mathrm{Nm}^{-1} \)
c. \( 4 \times 10^{7} N m^{-1} \)
D. \( 4 \times 10^{-7} \mathrm{Nm}^{-1} \)
| 3 |
Physics
|
A star is 1.45 parsec light years away. How much parallax would this star show when viewed from two locations of
the earth six months apart in its orbit
around the sun?
A .2 Parsec
B. 0.725 Parsec
c. 1.45 Parsec
D. 2.9 Parsec
| 3 |
Physics
|
If \( \boldsymbol{x}=\mathbf{3} \) and \( \boldsymbol{y}=-\mathbf{2}, \) the value of \( \boldsymbol{x}^{\boldsymbol{x}}+ \)
\( \boldsymbol{y}^{\boldsymbol{y}} ? \)
A . 27
B. 9
c. 8
D. none of the above
| 2 |
Maths
|
Hydrogen differs from elements of \( \mathrm{V} \|-\mathbf{A} \)
group as:
A. it can gain one electron
B. it has one electron in its valence shell
C. its electronic configuration is different from other elements
D. both \( B \) and \( C \)
| 1 |
Chemistry
|
A wire of cross-sectional area \( 4 \times 10^{-4} m^{2} \)
modulus of elasticity \( 2 \times 10^{11} N / m^{2} \)
and length \( 1 m \), is stretched between two
vertical rigid poles. A mass of \( 1 \mathrm{kg} \) is suspended at its center. If the angle it makes with the horizontal is \( \frac{1}{2} \times 10^{-x} \) rad. Find \( x \)
| 3 |
Physics
|
State how bats can locate objects in the
dark.
| 3 |
Physics
|
A lawyer who is currently earning \( \$ \) 42,380 annually receives a \( 6.5 \% \) raise. What is his new annual salary?
A. \( \$ 45,122.70 \)
B. \$ 48,134.80
c. \( \$ 45,134.70 \)
D. \$ 45,162.90
| 2 |
Maths
|
Calculate y (ratio of \( C_{p} \) and \( C_{v} \) ) for triatomic linear gas at high temperature. Assume that the
contribution of the vibrational degree of freedom is \( 75 \% \)
A . 1.29
B. 1.121
c. 1.18
D. 1.33
| 1 |
Chemistry
|
Plants having little or no secondary growth are
A. Conifers
B. Grasses
c. cycads
D. Deciduous angiosperms
| 0 |
Biology
|
How many grams of \( C O_{2} \) are produced by the complete reaction of 100 g \( \mathrm{CaCO}_{3} \) with excess \( \boldsymbol{H C l} \) ?
A .22 g
в. 44 g
c. 79 g
D. \( 110 \mathrm{g} \)
E . 132 g
| 1 |
Chemistry
|
Of the following which change will shift the reaction towards the product?
\( \boldsymbol{I}_{2}(\boldsymbol{g}) \rightleftharpoons 2 \boldsymbol{I}(\boldsymbol{g}), \triangle \boldsymbol{H}_{r}^{0}(\mathbf{2 9 8} \boldsymbol{K})= \)
\( +150 k J \)
This question has multiple correct options
A. Increase in concentration of \( I \)
B. Decrease in concentration of \( I_{2} \)
c. Increase in temperature
D. Increase in total pressure
| 1 |
Chemistry
|
The figure shows the cross section of
six identical spheres. The spheres, touching each other, are placed on a horizontal plane. The volume of each sphere is \( \frac{32 \pi}{3} c m^{3} . \) Calculate the length of \( \boldsymbol{P Q}, \) in \( \boldsymbol{c m} \)
A . 18
B. 24
c. 36
D. 58
| 2 |
Maths
|
Find the surface area of the wooden box
which is in the shape of a cube, if the edge of the box is \( 27 \mathrm{cm} \)
| 2 |
Maths
|
Find how many terms of G.P. \( \frac{2}{9}-\frac{1}{3}+\frac{1}{2} \ldots \) must be added to get the
sum equal to \( \frac{55}{72} ? \)
| 2 |
Maths
|
Enzyme encolase catalyses the
conversion of 2 PGA to phosphoenol pyruvic acid in presence of which is the
cofactor.
\( \mathbf{A} \cdot M n^{+} \)
B. \( F e^{++} \)
c. \( M g^{++} \)
D. \( Z n^{+} \)
| 0 |
Biology
|
Hydrogen peroxide does not act as:
A . a reducing agent
B. an oxidising agent
C . a dehydrating agent
D. a bleaching agent
| 1 |
Chemistry
|
For the reaction \( F_{2} \rightleftharpoons 2 F, \) Calculate the
degree of dissociation of fluorine at 4
\( \operatorname{atm} \) and \( 1000 k, \) when \( K_{p}=1.4 \times 10^{-2} \)
\( \operatorname{atm} \)
| 1 |
Chemistry
|
The fundamental particle(s) not present in the nucleus of hydrogen atom is :
A . electron
B. proton
c. neutron
D. all of the above
| 1 |
Chemistry
|
A radioactive sample decays by two different processes. Half-life of first
process is \( t_{1}, \) and for second process is
\( t_{2} . \) Then, the effective half-life is
A \( \cdot t_{1}-t_{2} \)
в. \( t_{1}+t_{2} \)
c. \( \frac{t_{1}, t_{2}}{t_{1}+t_{2}} \)
D. \( \frac{t_{1}^{2}+\frac{2}{2}}{t_{1}-t_{2}} \)
| 3 |
Physics
|
The anhydrous calcium sulphate is called :
A. gypsum
B. anhydrite
c. plaster of Paris
D. lime
| 1 |
Chemistry
|
\( x \sqrt{1+y}+y \sqrt{1+x}=0, \) then \( \frac{d y}{d x} \) equal
to
\( \mathbf{A} \cdot 1+x \)
В. \( (1-x)^{-2} \)
C. \( -(1+x)^{-1} \)
D. \( -(1+x)^{-2} \)
| 2 |
Maths
|
Name the famous scientist who
described eight centres of the world showing maximum diversity in plants.
A. Borloug
B. Vavilov
c. Swaminathan
D. columbus
| 0 |
Biology
|
Secretion of estrogen is controlled by
A . HCG
B. Progesterone
c. LH
D. FSH
| 0 |
Biology
|
There are two sections \( A \) and \( B \) of a
class consisting of 36 and 44 students respectively. If the average weight of section \( \boldsymbol{A} \) is \( \mathbf{4 0} \) kg and that of section \( \boldsymbol{B} \)
is \( 35 \mathrm{kg} \), find the average weight of the
whole class?
| 2 |
Maths
|
Convert the following to percents:
\( \frac{12}{16} \)
| 2 |
Maths
|
The amplitude of a damped oscillator decreases to 0.9times its original magnitude in 5 s. In another 10 s it will
decrease to \( \alpha \) times its original
magnitude, where \( \alpha \) equals
A. 0.7
B. 0.81
c. 0.729
D. 0.6
| 3 |
Physics
|
Which of the following statement is/are true about mycoplasmas?
A. They can survive without oxygen.
B. They are resistant to penicillin.
c. They are smallest, cell wall less prokaryote
D. All of the above.
| 0 |
Biology
|
How accurate is one-dimensional
model?
A. Less accurate
B. Quite accurate
c. cannot say
D. None
| 3 |
Physics
|
Solve
\( 12 x^{2}-27=0 \)
| 2 |
Maths
|
A man is know to speak the truth 3 out
of 4 times. He throws a die and reports
that it is a six. the probability that it is actually a six is
A \( \cdot \frac{3}{8} \)
B. \( \frac{1}{5} \)
\( c \cdot \frac{3}{4} \)
D. None of these
| 2 |
Maths
|
Pick out the bad conductor of
electricity from the following:
A. copper
B. steel
c. impure water
D. air
| 1 |
Chemistry
|
Light enters an isosceles right
triangular prism at normal incidence
through face \( A B \) and undergoes
total internal reflection at face \( \mathrm{BC} \) as
shown below.
The minimum value of the refractive
index of the prism is close to
A \( \cdot 1.10 \)
B . 1.55
c. 1.42
D. 1.72
| 3 |
Physics
|
A steel wire of length \( 1 \mathrm{m} \) has cross sectional area \( 1 \mathrm{cm}^{2} \). If young's modulus
of steel is \( 10^{11} N / m^{2}, \) then force required to increase the length of wire by \( 1 \mathrm{mm} \) will be :
\( \mathbf{A} \cdot 10^{11} N \)
В. \( 10^{7} N \)
\( \mathbf{c} \cdot 10^{4} N \)
D. \( 10^{2} N \)
| 3 |
Physics
|
Read the following statements regarding euglenoids and select the incorrect ones.
(i) These are mostly freshwater organisms found in stagnant water.
(ii) Their body is covered by a protein rich layer called pellicle which makes their body flexible.
(iii) They are photosynthetic in the presence of sunlight but become heterotrophs in the absence of sunlight.
(iv) They usually possess two flagella, one long and one short.
(v) Euglenoids are multicellular ciliate protists.
A \( \cdot \) (i) and (v)
B. (iv) and (v)
c. (iii) only
D. (v) only
| 0 |
Biology
|
Oleum on hydrolysis gives sulphuric
acid.
| 1 |
Chemistry
|
An urn contains one black ball and one
green ball. A second urn contains one
white and one green ball. One ball is
drawn at random from each urn.Find the
probability of getting at least one green ball.
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{2}{3} \)
D.
| 2 |
Maths
|
Two moles of an ideal monoatomic gas
is heated from \( 27^{\circ} C \) to \( 627^{\circ} C \)
reversibly and isochorically. The entropy of gas:
A. increases by \( 2 R \ln 3 \)
B. increases by \( 3 R \ln 3 \)
c. decreases by \( 2 R \ln 3 \)
D. decreases by \( 3 R \ln 3 \)
| 1 |
Chemistry
|
Smilax belongs to
A. Liliaceae
B. Solanaceae
c. Leguminosae
D. Cruciferae
| 0 |
Biology
|
\( \mathrm{Na}^{\oplus} \) and Ne are \( _{-1-} \ldots_{-} \) to each
other.
A. isotopes
B. isoelectronic
\( c . \) isobars
D. allotropic
| 3 |
Physics
|
Electronic energy is negative because:
A. electron has negative charge
B. energy is zero near the nucleus and decreases as the distance from nucleus increases
C. energy is zero at infinite distance from the nucleus and decreases as the electron comes towards nucleus
D. these are interelectronic repulsions
| 1 |
Chemistry
|
Butyne on oxidation with hot alkaline
\( K M n O_{4} \) gives:
\( \mathbf{A} \cdot C H_{3} C H_{2} C H_{2} C O O H \)
в. \( C H_{3} C H_{2} C O O H \)
\( \mathrm{c} \cdot \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COOH}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{2} C H_{2} C O O H+H C O O H \)
| 1 |
Chemistry
|
The rate equation for the reaction \( \boldsymbol{A}+ \)
\( 2 B \rightarrow \) Products is given as rate\( = \)
\( \boldsymbol{K}[\boldsymbol{A}][\boldsymbol{B}]^{2} . \) If the volume of the vessel is
decreased to half of the initial volume,
then the reaction rate bears the
following relation to the original rate as:
A. \( 1 / 2 \) times
B. 2 times
c. 4 times
D. 8 times
| 1 |
Chemistry
|
Solve:
\( 2 \tan ^{-1} \frac{3}{4}-\tan ^{-1} \frac{17}{31} \)
| 2 |
Maths
|
Cell body is known as
A. Axon
B. Cyton
c. Neuron
D. None of he above
| 0 |
Biology
|
Parallel rays (in air) are incident on a
transparent sphere along its one diameter. After refraction, these rays converge at the other end of this
diameter. The refractive index for the
material of sphere is
\( A \)
B. 1.5
\( c \cdot 1.6 \)
\( D \cdot 2 \)
| 3 |
Physics
|
A particle is projected from ground with velocity \( 40 \sqrt{2} m / s a t 45^{\circ} . \) Find the displacement of the particle after 2 s.
\( \left(g=10 m / s^{2}\right) \)
| 3 |
Physics
|
If \( \boldsymbol{f}(\boldsymbol{x})=\cos (\log \boldsymbol{x}), \) then
\( f\left(\frac{1}{x}\right) f\left(\frac{1}{y}\right)- \)
\( \frac{1}{2}\left\{f\left(\frac{x}{y}\right)+f(x y)\right\}= \)
\( A \cdot \log x \)
B. \( \cos (\log x) \)
\( c \cdot \sin (\log x) \)
D.
| 2 |
Maths
|
Which of the following gases is regarded as an atmospheric pollutant?
\( A \cdot O_{2} \)
в. \( O_{3} \)
\( c \cdot s O_{2} \)
D. \( N_{2} \)
| 0 |
Biology
|
If \( A \Delta B=A \cup B, \) then which of the
following can be correct?
A \( . A=B \)
в. \( A \cap B=\phi \)
\( \mathbf{c} \cdot A \Delta B=\phi \)
D. \( A \Delta B=A \sim B \)
| 2 |
Maths
|
In which of the following ketonic group is absent?
A. Guanine
B. Thymine
c. Adenine
D. Uracil
| 1 |
Chemistry
|
inflated with both helium and nitrogen
gas. Between the two gases, the balloon
can be inflated up to 8 liters in volume.
The density of helium is 0.20 grams per
liter, and the density of nitrogen is 1.30 grams per liter. The balloon must be
filled so that the volumetric average
density of the balloon is lower than that
of air, which has a density of 1.20 grams per liter. Which of the following system of inequalities best describes
how the balloon will be filled, if \( x \)
represents the number of liters of
helium and \( y \) represents the number of
liters of nitrogen?
A \( \cdot\left\{\begin{array}{l}x+y>8 \\ 20 x+130 y>120\end{array}\right. \)
B. \( \left\{\begin{array}{l}x+y=8 \\ \frac{0.2 x+1.30 y}{2}<1.20\end{array}\right. \)
c. \( \left\{\begin{array}{l}x+y \leq 8 \\ 0.20\left(\frac{x}{x+y}\right)+1.30\left(\frac{y}{x+y}\right)<1.20\end{array}\right. \)
D \( \cdot\left\{\begin{array}{l}x+y \leq 8 \\ 0.20 x+1.30 y<1.20\end{array}\right. \)
| 2 |
Maths
|
\( 40 \% \) of a mixture of 0.2 mole of \( N_{2} \) and
0.6 mole of \( H_{2} \) react to give \( N H_{3} \)
according to the equation, \( N_{2}(g)+ \)
\( \mathbf{3} \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g}) \rightleftharpoons \mathbf{2} \boldsymbol{N} \boldsymbol{H}_{\mathbf{3}}(\boldsymbol{g}) \) at constant
temperature and pressure. Then the
ratio of the final volume to the initial
volume of gases are:
A . 4: 5
B. 5: 4
c. 7: 10
D. 8: 5
| 1 |
Chemistry
|
What is the mode from the following
table \( ? \)
\( \begin{array}{ll}\text { Marks obtained } & \text { Frequency } \\ & \\ 3 & 7 \\ 1 & 11 \\ 23 & 15 \\ 33 & 8 \\ 43 & 3\end{array} \)
\( \mathbf{A} \cdot 13 \)
B. 43
c. 33
D. 23
| 2 |
Maths
|
Two metal spheres of radius \( r \) are kept
in contact. If \( ^{\prime} d^{\prime} \) is the density of each sphere material, the gravitational force between them is proportional to
\( \mathbf{A} \cdot d^{2} r^{6} \)
B. \( d^{2} r^{4} \)
c. \( \frac{d^{2}}{r^{4}} \)
D. \( \frac{r^{4}}{d^{2}} \)
| 3 |
Physics
|
An electron beam can undergo
diffraction by crystals. Through what potential should a beam of electrons be
accelerated so that its wavelength becomes equal to 1.54 A?
A. 13.6 volt
B . 1.54 volt
c. 1 volt
D. 63.44 volt
| 1 |
Chemistry
|
Which of the following is incorrect
statement?
\( \mathbf{A} \cdot P b F_{4} \) is covalent in nature
B. \( S i C l_{4} \) is easily hydrolysed
\( \mathbf{c} \cdot \operatorname{Ge} X_{4}(X=F, C l, B r, I) \) is more stable than \( G e X_{2} \)
D. \( S n F_{4} \) is ionic in nature
| 1 |
Chemistry
|
Express \( \boldsymbol{R}= \)
\( (x, y), y=3 x, x \in(1,2,3) \) and \( y \in(3,6 \)
as a set of ordered pair.
| 2 |
Maths
|
If the coefficients of \( a^{m} \) and \( a^{n} \) in the
expansion of \( (1+a)^{m+n} \) are \( \alpha \) and \( \beta \) then which one of the following is correct?
A \( \cdot \alpha=2 \beta \)
в. \( \alpha=\beta \)
c. \( 2 \alpha=\beta \)
| 2 |
Maths
|
An inset crawls up a hemispherical
surface very slowly. The coefficient of friction between the insect and the
surface is \( 1 / 3 . \) If the line joining the
center of the hemispherical surface to
the insect makes an angle \( \alpha \) with the
vertical, the maximum possible value of
\( \alpha \) is given by
\( \mathbf{A} \cdot \cot \alpha=3 \)
\( \mathbf{B} \cdot \tan \alpha=3 \)
\( \mathbf{c} \cdot \sec \alpha=3 \)
D. \( \operatorname{cosec} \alpha=3 \)
| 3 |
Physics
|
Which is the correct order for different
forces?
\( \mathbf{A} \cdot E_{D} \) (Dipole - induced dipole interaction) \( >E_{x} \) (Dipole
induced dipole interaction) \( >E_{L} \) (London force)
B. \( E_{K} \) (Dipole \( _{-} \) dipole interaction) \( >E_{D} \) (Dipole - induce
dipole interaction) \( >E_{L} \) (London force)
C . \( E_{D} \) (Dipole - induced dipole interaction) \( >E_{L} \) (London
force) \( E_{K} \) (Dipole - Dipole interaction)
D. All forces are equally strong.
| 1 |
Chemistry
|
\( \frac{x}{\sqrt{x+4}}, x>0 \)
| 2 |
Maths
|
Prove: \( 1+2+3+4+5 \cdot . .+n= \)
\( \frac{n(n+1)}{2} \)
| 2 |
Maths
|
If the equilibrium constant for the
reaction \( 2 A B \leftrightharpoons A_{2}+B_{2} \) is \( 36, \) then
what is the equilibrium constant for \( A B \leftrightharpoons \frac{1}{2} A_{2}+\frac{1}{2} B_{2} ? \)
\( A \cdot 2 \)
B. 6
\( c . \) 36
D. 72
| 1 |
Chemistry
|
Assertion
\( H_{3} P O_{2} \) can act as strong reducing agent and gives disproportionation reaction on heating.
Reason
Due to presence of one \( -O H \) group and
\( \boldsymbol{P}-\boldsymbol{H} \) group, \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \) is a monobasic
bronsted acid.
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
|
Solve: \( \boldsymbol{y} \boldsymbol{d} \boldsymbol{x}+\left(\boldsymbol{x}-\boldsymbol{y}^{2}\right) \boldsymbol{d} \boldsymbol{y}=\mathbf{0} \)
| 2 |
Maths
|
Elements in the same group have equal
valency. Comment on it.
| 1 |
Chemistry
|
A ball is projected upwards. As it rises, there is increase in its:
A. Momentum
B. Retardation
c. Kinetic energy
D. Potential energy
| 3 |
Physics
|
The second, the first, and the third term
of an arithmetic progression, whose common difference is nonzero, form a geometric progression in that order.
Find its common ratio.
| 2 |
Maths
|
How many of the fuel gases have \( C O \)
and \( H_{2} \) both as combustible gases?
\( A \cdot 2 \)
B. 3
\( c \cdot 1 \)
D. 4
| 1 |
Chemistry
|
If \( \frac{\pi}{4}<\alpha<\frac{\pi}{2}, \) value of
\( \int_{-\pi / 2}^{\pi / 2} \frac{\sin 2 x}{\sqrt{1+\sin 2 \alpha \sin x}} \) is
A \( \cdot-\frac{4}{3} \tan \alpha \sec \alpha \)
B. \( -\frac{4}{3} \cot \alpha \operatorname{cosec} \alpha \)
c. \( -\frac{4}{3} \tan \alpha \operatorname{cosec} \alpha \)
D. \( -\frac{4}{3} \cot \alpha \sec \alpha \)
| 2 |
Maths
|
An element which posses luster and are good conductor of electricity are:
A. metalloid
B. non-metal
c. metal
D. alloys
| 1 |
Chemistry
|
Simplify
\( 12-\left(x+x^{2}\right)\left(8-x-x^{2}\right) \)
| 2 |
Maths
|
Multiply the given matrix:
\( \left[\begin{array}{cc}\boldsymbol{a} & \boldsymbol{b} \\ -\boldsymbol{b} & \boldsymbol{a}\end{array}\right]\left[\begin{array}{cc}\boldsymbol{a} & -\boldsymbol{b} \\ \boldsymbol{b} & \boldsymbol{a}\end{array}\right] \)
| 2 |
Maths
|
Convert into factors \( a^{2}+4 a+4-b^{2} \)
| 2 |
Maths
|
A red flower when viewed through blue light appears:
A . red
B. blue
c. black
D. violet
| 3 |
Physics
|
If \( \boldsymbol{A}=\left[\begin{array}{ccc}1 & -2 & 3 \\ -4 & 2 & 5\end{array}\right] \) and \( B= \)
\( \left[\begin{array}{cc}1 & 3 \\ -1 & 0 \\ 2 & 4\end{array}\right], \) then show that \( (A B)^{\prime}= \)
\( \boldsymbol{B}^{\prime} \boldsymbol{A}^{\prime} \)
| 2 |
Maths
|
Among the following, the alkene on ozonolysis giving rise to only one aldehyde as the product, is:
A. \( 1- \) butene
B. Prop - 1 - ene
c. \( 2- \) butene
D. \( 2- \) methyl \( - \) prop \( -1- \) ene
| 1 |
Chemistry
|
The decomposition of a substance
follows first order kinetics. If its
concentration is reduced to \( 1 / 8 \) of its
initial value in 12 minutes, the rate
constant of the decomposition system is ?
\( ^{\text {A }} \cdot\left(\frac{2.303}{12} \log \frac{1}{8}\right) \) min. \( ^{-1} \)
B. \( \left(\frac{2.303}{12} \log 8\right) \) min. \( ^{-1} \)
c. \( \left(\frac{0.693}{12}\right) \) min. \( ^{-1} \)
D. \( \left(\frac{1}{12} \log 8\right) \) min. \( ^{-1} \)
| 1 |
Chemistry
|
Applying \( \boldsymbol{C}_{1} \rightarrow \boldsymbol{C}_{1}-^{8} \boldsymbol{C}_{3}, \) we
getWithout expanding the determinant, prove that \( \left|\begin{array}{ccc}\mathbf{4 1} & \mathbf{1} & \mathbf{5} \\ \mathbf{7 9} & \mathbf{7} & \mathbf{9} \\ \mathbf{2 9} & \mathbf{5} & \mathbf{3}\end{array}\right|=\mathbf{0} \)
| 2 |
Maths
|
What conditions are required for
rusting to take place?
A. Water only
B. Oxygen only
c. water and oxygen
D. water and carbon dioxide
| 1 |
Chemistry
|
The correct representation of \( \boldsymbol{C u} \boldsymbol{S O}_{4} \)
\( \mathbf{5} \boldsymbol{H}_{2} \boldsymbol{O} \) is:
\( \mathbf{A} \cdot\left[C u\left(H_{2} O\right)_{5}\right] S O_{4} \)
B \( \cdot\left[C u\left(H_{2} O\right)_{3} S O_{4}\right] \cdot 2 H_{2} O \)
c. \( \left[C u S O_{4} \cdot H_{2} O\right] \cdot 4 H_{2} O \)
D. \( \left[C u\left(H_{2} O\right)_{4}\right] S O_{4} \cdot H_{2} O \)
| 1 |
Chemistry
|
A student was given \( \mathrm{Mg}, \mathrm{Zn}, \mathrm{Fe} \) and \( \mathrm{Cu} \) metals. He puts each of them in dil.HC contained in different test tubes.
Identify which of them will not displace
\( \boldsymbol{H}_{2} \) from dil. HCl?
| 1 |
Chemistry
|
The mean and standard deviation of a
random variable \( x \) is given by 5 and 3
respectively. The standard deviation of
\( 2-3 x \) is
A . -7
B. 81
\( c .34 \)
D. 9
| 2 |
Maths
|
nucleophilic addition reaction?
\( A \)
B.
\( c \)
D.
| 1 |
Chemistry
|
The vapour pressure of a deliquescent
substance is:
A. equal to the atmospheric pressure
B. equal to that of the water vapour in air
C . greater than that of the water vapour in air
D. less than that of the water vapour in air
| 1 |
Chemistry
|
Which one is classified as a
condensation polymer?
A. Dacron
B. Neoprene
c. Teflon
D. None of these
| 1 |
Chemistry
|
The incorrect statements among the
following are:
This question has multiple correct options
A. \( N C l_{5} \) does not exist while \( P C l_{5} \) does
B. Pb prefers to form tetravalent compounds
C. The three \( C-O \) bond are not equal in the carbonate
ion
D. Both \( O_{2}^{+} \) and \( N O \) are paramagnetic
| 1 |
Chemistry
|
The circuit given represents which of
\( \log i c \) operations
A. AND
B. NOT
\( c . \) ов
D. NOR
| 3 |
Physics
|
Runoff of excess fertiliser from farm
fields into nearby waterways can result in
A. Ozone depletion
B. Air pollution
c. Biomagnification
D. Acidification
E. Eutrophication
| 0 |
Biology
|
When concentrated nitric acid is heated
with \( P_{2} O_{5} ; \) it forms?
A \( . H_{3} P O_{4} \)
в. \( N O_{2} \)
c. \( N_{2} O_{5} \)
D. \( N O \)
| 1 |
Chemistry
|
A ball is dropped from a satellite revolving around the earth at height of 120km. The ball will
A. Continue to move with same speed along a straight line tangentially to the satellite at that time
B. Continue to move with same speed along the original orbit of satellite
c. Fall down to earth gradually
D. Go far away in space
| 3 |
Physics
|
Current passing through a coil of resistance R decreases uniformly as shown in the figure. If total amount of
charge q is passing through the coil
during a time interval \( t_{0} \) then what will
be the total amount of heat generated through it?
A \( \cdot \frac{3}{4} \frac{q^{2} R}{t_{0}} \)
в. \( \frac{4}{3} \frac{q^{2} R}{t_{0}} \)
c. \( \frac{q^{2}}{t_{R}} \)
D. \( \frac{q^{2} R^{2}}{t^{2}} \)
| 3 |
Physics
|
How soon will the frame come to the
orientation shown in figure (b) after
collision?
\( ^{A} \cdot \frac{\pi l}{4 v} \)
B. \( \frac{7 \pi l}{8 v} \)
c. \( \frac{\pi l}{v} \)
D. \( \frac{7 \pi l}{4 v} \)
| 3 |
Physics
|
The smallest number by which 5400 must be multiplied so that it becomes a perfect cube is:
\( \mathbf{A} \cdot 12 \)
B . 10
\( c .5 \)
D. 3
| 2 |
Maths
|
Distillation works when liquids have:
A. same melting points
B. different melting points
c. different boiling points
D. both \( B \) and \( C \)
| 1 |
Chemistry
|
State Huygen's principle, Using this principle draw a diagram to show how a plane wave front incident at the interface of the two media gets
refracted when it propagates from a rarer to a denser medium.Hence verify
Snell's law of refraction
| 3 |
Physics
|
A coconut fruit hanging high in a palm tree has .......... owing to its location.
A. Free energy
B. Kinetic energy
c. Activation energy
D. Potential energy
| 3 |
Physics
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.