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If \( I=\int_{3}^{5} \frac{\sqrt{x}}{\sqrt{8-x}+\sqrt{x}} d x \) then \( I \) equals
\( \mathbf{A} \cdot \mathbf{1} \)
B . 2
\( c .3 \)
D. 3.5 | 2 | Maths |
Technique for detecting and screening the nutritional mutants in Neurospora crassa was developed by
A. Beadle and Tatum
B. Bateson and Punnet
c. Luria Dulbecco
D. Knoll and Ruska | 0 | Biology |
Among \( K O_{2}, A l O_{2}^{-}, B a O_{2} \) and \( N O_{2}^{+} \)
unpaired electron is present in: | 1 | Chemistry |
What would be the output of the circuit whose boolean expression \( \boldsymbol{Y}=\boldsymbol{A} \overline{\boldsymbol{B}}+ \)
\( A B \) when \( A=1, B=0 ? \)
\( A \)
B.
c. Both (A) \& (B)
D. None of these | 3 | Physics |
The minimum work which must be done
to compress \( 16 g \) of oxygen isothermally, at \( 300 K \) from pressure of \( 1.01325 \times \) \( \mathbf{1 0}^{3} \boldsymbol{N} / \boldsymbol{m}^{2} \) to \( \mathbf{1 . 0 1 3 2 5} \times \mathbf{1 0}^{\mathbf{5}} \boldsymbol{N} / \boldsymbol{m}^{\mathbf{2}} \) is
\( \mathbf{n} \mathbf{1 0 0}=\mathbf{4 . 6}, \boldsymbol{R}=\mathbf{8 . 3} \boldsymbol{J} / \boldsymbol{K}-\boldsymbol{m o l} \)
\( \mathbf{A} \cdot 5727 J \)
в. \( 11.454 k J \)
c. \( 123.255 k J \)
D. \( 1232.55 J \) | 1 | Chemistry |
The intensities of two notes are equal. If frequency of one note is one-fourth that of the other then the ratio of their
amplitudes is
A . 16
B. 4
\( c \cdot 2 \)
\( D \) | 3 | Physics |
Which of the following statements are
correct?
This question has multiple correct options
\( A \cdot A \) plot of \( \log K_{P} \) vs. \( 1 / T \) is linear.
B. A plot of log [X] vs. time is linear for I order reaction \( X \rightarrow P \)
C. A plot of log P vs. 1/T is linear at constant volume.
D. A plot of P vs. 1/V is linear at constant temperature. | 1 | Chemistry |
If the angle between the unit vectors \( \vec{a} \) and \( \vec{b} \) is \( 60^{\circ}, \) then \( |\vec{a}-\vec{b}| \) is
A. 0
B. 2
\( c \)
D. 4 | 2 | Maths |
Match the following:
\( \begin{array}{ll}\text { Column I } & \text { Column II } \\ \text { A. Sphalerits } & \text { p. } F e C O_{3} \\ \text { B. Malachite } & \text { q. } Z n C O_{3} \\ \text { C. Calamine } & \text { r. } N a_{3} A l F_{8} \\ \text { D. Cryolite } & \text { s. } C u C O_{3} \cdot C u(O H)_{2} \\ \text { E. Siderite } & \text { t. } Z n S\end{array} \)
A. A-r B-p C-t D-q E-s
B. A-t B-s C-q D-p E-r
C. A-t B-r C-q D-p E-s
D. A-t B-s C-q D-r E-p
\( E \cdot A-r B-r C-p D-t E-s \) | 1 | Chemistry |
The domain of the function \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \log _{x} e \) is given by \( [0, \infty]-k \)
What is \( k \)
This question has multiple correct options
A . 1
B. \( e \)
c. 0
D. 10 | 2 | Maths |
A particle moves with an initial velocity
\( \boldsymbol{v}_{0} \) and retardation \( \boldsymbol{\alpha} \boldsymbol{v}, \) where \( \boldsymbol{v} \) is its initial velocity at any time \( t \) and \( \alpha \) is a
constant
This question has multiple correct options
A \cdot The particle will cover a total distance \( \frac{v_{0}}{\alpha} \)
B. The particle will come to rest after a time \( \frac{1}{\alpha} \)
c. The particle will continue to move for a very long time.
D. The velocity of the particle will become \( \frac{v_{0}}{2} \) after a time \( \frac{1}{\alpha} \) | 3 | Physics |
Find the angle between the following pair of lines:
(i) \( \vec{r}=2 \hat{i}-5 \hat{j}+\hat{k}+\lambda(3 \hat{i}-2 \hat{j}+6 \hat{k}) \)
and \( \vec{r}=\mathbf{7} \hat{\boldsymbol{i}}-\boldsymbol{6} \hat{\boldsymbol{k}}+\boldsymbol{\mu}(\hat{\boldsymbol{i}}+\mathbf{2} \hat{\boldsymbol{j}}+\mathbf{2} \hat{\boldsymbol{k}}) \)
(ii) \( \vec{r}=3 \hat{i}+\hat{j}-2 \hat{k}+\lambda(\hat{i}-\hat{j}-2 \hat{k}) \)
and \( \vec{r}=2 \hat{i}-\hat{j}-56 \hat{k}+ \)
\( \mu(\hat{\mathbf{3}} \mathbf{i}-\mathbf{5} \hat{\mathbf{j}}-\mathbf{4} \hat{\boldsymbol{k}}) \) | 2 | Maths |
The ratio 2: 3 expressed as percentage
is
A. \( 401 \% \)
B. \( 60 \% \)
c. \( 66 \frac{2}{3} \% \)
D. \( 33 \frac{1}{3} \% \) | 2 | Maths |
Name a compound of chlorine that is
used as:
(A) An disinfectant
(B) An anesthetic
(C) A bleaching agent | 1 | Chemistry |
Formation of RNA on DNA template is called as
A. Transduction
B. Transformation
c. Transcription
D. Translation | 0 | Biology |
If the galvanometer shows no deflection
then the value of \( \mathrm{R} \) for the circuit shown
in the figure is ( length \( A B=100 \mathrm{cm} \) )
A. 30 ohms
B. 60 ohms
\( c .10 \) ohms
D. 120 ohms | 3 | Physics |
A ray of light is incident normally on one refracting surface of an equilateral
prism. If the refractive index of the
material of the prism is \( 1.5, \) then:
A. the emergent ray is deviated by \( 30^{\circ} \)
B. the emergent ray is deviated by \( 60^{\circ} \)
C. the emergent ray just graces the second reflecting surface
D. the ray undergoes total internal reflection at second refracting surface
E. the ray emerges normally from the second refracting surface | 3 | Physics |
Why do we lose hearing while yawning?
A. Muscles around middle ear contracts
B. Muscles around middle ear expands
C. Muscles around inner ear contracts
D. Muscles around inner ear expands | 3 | Physics |
Why is RNA required to undergo splicing? | 0 | Biology |
For \( \boldsymbol{x} \in(\mathbf{0}, \boldsymbol{\pi}), \) the equation \( \sin \boldsymbol{x}+ \)
\( 2 \sin 2 x-\sin 3 x=3, \) has
A. infinitely many solutions
B. three solutions
c. one solution
D. no solution | 2 | Maths |
Shown below is an animal cell. Label the
parts \( A \) and \( B \)
A. Cell wall and cell membrane
B. Chloroplast and cell wall
c. Cytoplasm and cell membrane
D. Chloroplast and cell membrane | 0 | Biology |
The diameter of zinc atom is \( 2.6 A \) Calculate (a) radius of zinc atom in pm
and (b) number of atoms present in a length of \( 1.6 \mathrm{cm} \) if the zinc atoms are arranged side by side lengthwise. | 1 | Chemistry |
The equation of the progressive wave is \( \boldsymbol{Y}=\mathbf{3} \sin \left[\boldsymbol{\pi}\left(\frac{\boldsymbol{t}}{\mathbf{3}}-\frac{\boldsymbol{x}}{\mathbf{5}}\right)+\frac{\boldsymbol{\pi}}{\boldsymbol{4}}\right] \) where \( \boldsymbol{x} \)
and \( Y \) are in metre and time in second.
Which of the following is correct?
A. Velocity \( V=1.5 \mathrm{m} / \mathrm{s} \)
B. Amplitude \( A=3 \mathrm{cm} \)
c. Frequency \( F=0.2 \mathrm{Hz} \)
D. Wavelength \( \lambda=10 m \) | 3 | Physics |
If the two sides and the \( _{----} \) angle of
one triangle are respectively equal to two sides and the included angle of the
other triangle, then the triangles are
congruent.
A. Included
B. Excluded
c. Adjacent
D. Any | 2 | Maths |
A positively charged particle of \( 2.0 C \)
moves upward into an area where both a magnetic field and an electric field
are acting. The magnetic field has a
magnitude of \( 4.0 \times 10^{4} T \) and the
electric field has a magnitude of
\( 0.1 N / C . \) At what velocity must the particle be moving if it is not deflected when it enters this area?
A \( \cdot 4.0 \times 10^{-3} \mathrm{m} / \mathrm{s} \)
в. \( 125 \mathrm{m} / \mathrm{s} \)
\( c \cdot 250 m / s \)
D. \( 500 \mathrm{m} / \mathrm{s} \)
E. The particle will be deflected to the left regardless its velocity | 3 | Physics |
Consider the following elementary
reaction
\[
\mathbf{2 A}+\boldsymbol{B}+\boldsymbol{C} \rightarrow \boldsymbol{\text {Products.}}
\]
All reactant are present in the gaseous
state and reactant \( C \) is taken in excess.
What is the unit of rate constant of the
reaction?
\( \mathbf{A} \cdot \operatorname{mol} L^{-1} \operatorname{tim} e^{-1} \)
B. \( \operatorname{time}^{-1} \)
\( \mathbf{c} \cdot m o l^{-1} L^{2} \operatorname{time}^{-1} \)
D. \( m o l^{-2} L^{2} \)time\( ^{-1} \) | 1 | Chemistry |
The term mole was accepted in the year
\( ? \)
A . 1962
в. 1965
\( c \cdot \) 1967
D. 1969 | 1 | Chemistry |
The diagonal of a rhombus are \( 15 \mathrm{cm} \) and \( 18 \mathrm{m} . \) Find its area and side. | 2 | Maths |
A closed vessel contains a mixture of
two diatomic gases \( A \) and \( B \). Molar mass \( A \) is 16 times that of \( B \) and mass
of gas \( A \) contained in the vessel is 2
times that of \( B \). The following
statements are given:
A. Average kinetic energy per molecule of \( B \) is equal to that of \( A \)
B. Root mean square value of translation velocity of \( B \) is four times of \( A \)
C. Pressure exerted by \( B \) is eight times of that exerted by \( A \)
D. Number of molecules of \( B \) in the cylinder is eight time that of \( A \) | 1 | Chemistry |
Reptiles like mammals originated in
A. Jurassic
B. Cretaseus
c. Triassic
D. Permian | 0 | Biology |
\( A B C \) is a right isosceles triangle right
angled at \( B . \) Then \( \sin ^{2} A+\cos ^{2} C= \)
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( \frac{1}{2} \)
c. \( \frac{1}{\sqrt{2}} \)
D. | 2 | Maths |
Assertion
Statement-1: \( \boldsymbol{f}(\boldsymbol{x})=\frac{\mathbf{1}}{\{\boldsymbol{x}\}} \) is
discontinuous for integral values of \( \boldsymbol{x} \) where \( \vartheta \) denotes the fractional part
function.
Reason
Statement-2: For integral values of \( \boldsymbol{x} \) \( f(x) \) is not defined.
A. Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1
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. | 2 | Maths |
\( \int \frac{1}{(2 x+1) \sqrt{x^{2}-x-2}} d x= \)
A. \( -\frac{1}{\sqrt{5}} \sin ^{-1} \frac{7+4 x}{3(2 x+1)}+c \)
B. \( -\frac{1}{\sqrt{5}} \cos \frac{7+4 x}{3(2 x+1)}+c \)
c. \( -\frac{1}{\sqrt{5}} \sinh ^{-1} \frac{7+4 x}{3(2 x+1)}+c \)
D. \( -\frac{1}{\sqrt{5}} \cosh ^{-1} \frac{7+4 x}{3(2 x+1)}+c \) | 2 | Maths |
\( \operatorname{Prove} \frac{1}{\sec \theta-1}-\frac{1}{\sec \theta+1}=2 \cot ^{2} \theta \) | 2 | Maths |
Statement 1: The reaction of hydrogen
with oxygen to form water is an
exothermic reaction
Statement 2: Water molecules have
polar covalent bonds.
A. Both Statement 1 and Statement 2 are correct and
Statement 2 is the correct explanation of Statement 1
B. Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
c. Statement 1 is correct but Statement 2 is not correct.
D. Statement 1 is not correct but Statement 2 is correct.
E. Both the Statement 1 and Statement 2 are not correct. | 1 | Chemistry |
Which is called chromic acid?
A. \( C r O \)
в. \( C r_{2} O_{3} \)
\( \mathrm{c} \cdot \mathrm{CrO}_{3} \)
D. \( C r O_{2} \) | 1 | Chemistry |
Find the degree of the polynomial given
below:
\( \boldsymbol{x}^{5}-\boldsymbol{x}^{4}+\mathbf{3} \) | 2 | Maths |
An element \( X \) has number of protons \( =4 \)
What will be its mass number if it has 3
neutrons?
\( A \cdot 4 \)
B. 3
c. 7
D. 5 | 3 | Physics |
Which of the following polymers can be made by condensation polymerisation reaction?
This question has multiple correct options
A. Dacron
B. Nylon - 6, 6
c. Bakelite
D. Polyethylene | 1 | Chemistry |
The centre of a square is at the origin
and vertex is \( A(2,1) . \) Find the \( c 0 \)
ordinates of other vertices of the square
A. \( B(1,-2), C(-2,-1), D(-1,-2) \)
B. \( B(-1,-2), C(-2,-1), D(-1,-2) \)
c. \( B(-1,2), C(-2,-1), D(1,-2) \)
D. \( (-1,-2), C(-2,-1), D(1,2) \) | 2 | Maths |
What does the following sequence represent?
Blue-Green Algae \( \rightarrow \) Crustose Lichens
\( \rightarrow \) Foliose Lichens \( \rightarrow \) Mosses \( \rightarrow \) Shrubs
\( \rightarrow \) Dicotyledonous trees
A. A food pyramid
B. Ecological succession
c. Genetic drift
D. Phylogenetic trend | 0 | Biology |
The Kirchhoff's first \( \operatorname{law}\left(\sum i=0\right) \) and second law \( \left(\sum i R=\sum E\right), \) where the symbols have their usual meanings, are respectively based on
A. conservation of charge, conservation of energy
B. Conservation of charge, conservation of momentum
c. conservation of energy, conservation of charge
D. conservation of momentum, conservation of charge | 3 | Physics |
General representation of alkyl halides is:
A. \( R-X_{2} \)
в. \( R_{2} X \)
c. \( R-X \)
D. none of these | 1 | Chemistry |
Which of the following is not a characteristic of chemisorption?
A . It is irreversible
B. It is specific.
c. It is a multi-layer phenomenon
D. Heat of adsorption is about -400 k. | 1 | Chemistry |
Sulfuric acid has a charring action because, it is:
A. a strong acid
B. a dehydrating agent
c. an oxidizing agent
D. a reducing agent | 1 | Chemistry |
Which of the following statements is
incorrect in case of equilibrium state?
A. It is dynamic in nature
B. It readjust itself on the changing conditions
\( \mathrm{C} \). It can be attained from the side of reactants only
D. It can be attained from either side of the reaction | 1 | Chemistry |
The physical adsorption of gases on the solid surface is due to:
A. covalent bond
B. hydrogen bond
c. ionic bond
D. van der wal's force | 1 | Chemistry |
If \( \vec{a}+\vec{b} \perp \vec{a} \) and \( |\vec{b}|=\sqrt{2}|\vec{a}| \), then?
\( \mathbf{A} \cdot(2 \vec{a}+\vec{b} \| \vec{b} \vec{b} \)
B . \( (2 \vec{a}+\vec{b}) \perp \vec{b} \)
c. \( (2 \vec{a}-\vec{b}) \perp \vec{b} \)
D. \( (2 \vec{a}+\vec{b}) \perp \vec{a} \) | 2 | Maths |
Two parallel wires are suspended in vacuum. When the potential difference between the wires is 30 V then the
charge on the wires is \( 140 \mu C \). The capacitance of the system of wires will be:
A \( .4 .66 \mu F \)
в. \( 5 \mu F \)
c. \( 10.21 \mu F \)
\( \mathbf{D} \cdot 50 \mu F \) | 3 | Physics |
The work that has to be done in
transferring unit positive charge from one point to the other is called
A. electric potential energy
B. electrical potential
c. electric potential difference
D. electric field | 3 | Physics |
Aldehydes on oxidation gives
A. Alcohol
B. Acid
c. Ketone
D. Ether | 1 | Chemistry |
Which of the following statements
corresponds to Kepler's laws of planetary motion?
A. A planet moves around the sun in a circular orbit
B. A planet moves around the sun in an elliptical orbit with the sun at the geometrical centre
c. A planet moves around the sun in an elliptical orbit with the sun at the focus
D. A planet moves around the sun in an elliptical orbit with uniform speed | 3 | Physics |
A box contains 6 pens, 2 of which are
defective. Two pens are taken randomly
from the box. If r.v. \( X: \) Number of
defective pens obtained, then standard deviation of \( \boldsymbol{X}= \)
\( ^{\mathrm{A}}: \pm \frac{4}{3 \sqrt{5}} \)
B. \( \frac{8}{3} \)
\( c \cdot \frac{16}{45} \)
D. \( \frac{4}{3 \sqrt{5}} \) | 2 | Maths |
Which of the following is non-existing?
A. \( \mathrm{H}_{2} \)
в. \( \mathrm{O}_{2} \)
c. \( \mathrm{N}_{2} \)
D. He \( _{2} \) | 1 | Chemistry |
Consider the following equilibrium:
\( 2 N O_{2} \rightleftharpoons 2 N O_{3} ; \Delta H=-v e \) If \( O_{2} \) is
added and volume of there action vessel
is reduced, the equilibrium
A. shifts in the product side
B. shifts in the reactant side
c. cannot be predicted
D. remains unchanged | 1 | Chemistry |
Two condensers of capacitance \( 4 \mu F \) and \( 5 \mu F \) are joined in series. If the potential difference across \( 5 \mu F \) is \( 10 V \), then the
potential difference across \( 4 \mu F \)
condenser is :
\( \mathbf{A} \cdot 22.5 V \)
B. \( 10 V \)
c. \( 12.5 V \)
D. \( 25 V \) | 3 | Physics |
The angle of reflection is
\( A \cdot 25 \)
B \( .12 .5^{\circ} \)
\( c \cdot 50^{\circ} \)
D. None of these | 3 | Physics |
Carbon and oxygen forms two compounds. Carbon content in one of them is \( 42.9 \% \) while in the other is
27.3\%. The given data is in support with:
A. Law of definite proportions
B. Law of reciprocal proportions
c. Law of multiple proportion
D. Law of conservation of mass | 1 | Chemistry |
A red LED emits light at \( 0.1 W \) uniformly around it. The amplitude of the electric filed of the light at a
distance of \( 1 ~ m \) form the diode is:
A. \( 1.73 \mathrm{V} / \mathrm{m} \)
в. \( 2.45 \mathrm{V} / \mathrm{m} \)
c. \( 5.48 \mathrm{V} / \mathrm{m} \)
D. \( 7.75 V / m \) | 3 | Physics |
\( \left(x^{2}+y^{2}-z^{2}\right)^{2}-\left(x^{2}-y^{2}+z^{2}\right)^{2}= \)
\( A \cdot O \)
B \( \cdot 4 x^{2} z^{2} y^{2} \)
C \( .-4 x^{2} z^{2}+4 x^{2} y^{2} \)
D・ \( x^{4}+y^{4}+z^{4} \) | 2 | Maths |
A gas is filled in a container at any
temperature and at pressure \( 76 \mathrm{cm} \) of Hg. If at the same temperature the
mass of gas is increased by \( 50 \% \) then the resultant pressure will be
\( A .38 \mathrm{cm} \) of \( \mathrm{Hg} \)
B. 76 \( \mathrm{cm} \) of \( \mathrm{Hg} \)
c. \( 114 \mathrm{cm} \) of \( \mathrm{Hg} \)
D. \( 152 \mathrm{cm} \) of \( \mathrm{Hg} \) | 3 | Physics |
The coefficient of self inductance and
the coefficient of mutual inductance
have
A. same units but different dimensions
B. different units but same dimensions
c. different units and different dimensions
D. same units and same dimensions | 3 | Physics |
State whether given statement is True or False.
A ray of light which passes through principal focus of a lens, does not suffer any refraction.
A. True
B. False | 3 | Physics |
Whay would be the \( C . I \) obtained on an
amount of 12500 at the rate of 12
p.c.p.a. after 2 years?
A. Rs. 3180
B. Rs. 3360
c. Rs. 3540
D. Rs. 3720 | 2 | Maths |
\( \$ \$ \) lbegin \( \{\text { matrix }\} \lim || x \) \( \mathrm{~ | x r i g h t a r r o w l q u a d ~ 1 ~ l e n d \{ m a t r i x \} \$ \$ ~} \)
\( \left(\frac{1}{x-1}-\frac{2}{x^{2}-1}\right) \) | 2 | Maths |
A uniform ladder of length \( 5 m \) is placed against the wall as shown in the figure. If coefficient of friction \( \mu \) is the same for
both the walls. what is the minimum
value of \( \mu \) for it not to slip?
A \( \cdot \mu=1 / 2 \)
B. \( \mu=1 / 4 \)
c. \( \mu=1 / 3 \)
D. \( \mu=1 / 5 \) | 3 | Physics |
An object is thrown vertically upward with a speed of \( 30 m / s . \) The velocity of
the object half a second before it reaches the maximum height is
A \( .4 .9 \mathrm{m} / \mathrm{s} \)
в. \( 9.8 \mathrm{m} / \mathrm{s} \)
c. \( 19.6 m / s \)
D. \( 25.1 \mathrm{m} / \mathrm{s} \) | 3 | Physics |
toppr
Q Type your question
following steps. Step 1: First of all we find the successive
difference (first difference, second
difference, third difference \( \ldots \text { so on }) \)
Step 2: If first successive difference is
in A.P, then general term can be taken \( \operatorname{as} t_{n}=a n^{2}+b n+c\left(\text { i.e.consider } t_{n} \) as \right.
quadratic polynomial in the decreasing power of \( n \text { with constants } a, b, c) \)
Step 3: If the second, third successive
differences are in \( \mathbf{A} . \mathbf{P}, \) then \( \boldsymbol{t}_{\boldsymbol{n}}=\boldsymbol{a} \boldsymbol{n}^{\boldsymbol{3}}+ \)
\( b n^{2}+c d+d \) for second successive
difference in A.P and so on where
\( a, b, c, d \) are constants whose order can be changed. Step 4: If the first difference in step 1 is
in G.P, then take \( t_{n}=a r^{n-1}+b n+c \)
Similarly if second, third difference are in \( G . P, \) then general terms are considered by \( t_{n}=a r^{n-1}+b n^{2}+ \)
\( \boldsymbol{c n}+\boldsymbol{d} \) and \( \boldsymbol{t}_{\boldsymbol{n}}=\boldsymbol{a} \boldsymbol{r}^{\boldsymbol{n}-\mathbf{1}}+\boldsymbol{b} \boldsymbol{n}^{\boldsymbol{3}}+\boldsymbol{c n}^{\boldsymbol{2}}+ \)
\( \boldsymbol{d} \boldsymbol{n}+\boldsymbol{e} \) respectively where \( \boldsymbol{a}, \boldsymbol{b}, \boldsymbol{c}, \boldsymbol{d}, \boldsymbol{e} \ldots \)
are constants whose orders can be
changed. Now consider the sequences
\( P: 9,16,29,54,103, \dots \)
\( Q: 4,14,30,52,80,114, \dots \)
\( R: 2,12,36,80,150,252, \dots \)
\( \boldsymbol{S}: \mathbf{2}, \mathbf{5}, \mathbf{1 2}, \mathbf{3 1}, \mathbf{8 6}, \dots \)
On the basis of above data
(information) answer the following questions:If \( t_{n}=A+B n+C n^{2} \) for
sequence \( Q \), then the value of \( A^{2}+ \)
\( B^{2}+C^{2} \) equals
A. 10
B. 8
\( c . \)
D. None of these | 2 | Maths |
Error in B is
\( \mathbf{A} \cdot \pm 0.9 T \)
В. \( \pm 0.09 m T \)
\( \mathbf{c} . \pm 0.9 m T \)
D. ±0.097 | 3 | Physics |
As the depth of the river increases, the velocity of flow:
A. increases
B. decreases
c. remains unchanged
D. may increase or decrease | 3 | Physics |
Which type of force caused this fault to
form?
A. compression
B. tension.
c. shear
D. divergent. | 3 | Physics |
The boiling point of water at 735 torr is
\( 99^{\circ} \mathrm{C} . \) The mass of \( \mathrm{NaCl} \) added in 100
\( \operatorname{gmof} \sin \operatorname{tar}\left(K_{b}=0.51 K k g m o l^{-3}\right) \) to
make its boiling point at \( 100^{\circ} \mathrm{C} \) is:
A \( .10 .68 \mathrm{g} \)
B. \( 5.34 \mathrm{g} \)
c. 2.67 g
D. 26.7 g | 1 | Chemistry |
Green algae are considered as
ancestors of higher plants due to their resemblance with higher plants in
A. Pigments
B. Cell wall
c. Stored food
D. All of the above | 0 | Biology |
A triangle and a parallelogram have the
same base and the same area. If the
sides of the triangle are \( 26 \mathrm{cm}, 28 \mathrm{cm} \) and \( 30 \mathrm{cm}, \) and the parallelogram stands on the base \( 28 \mathrm{cm}, \) find the height of the parallelogram. | 2 | Maths |
The ratio of momentum of an electron
and an alpha particle which are accelerated from rest by potential difference of \( 100 \mathrm{V} \) is:
A \( \cdot \sqrt{\frac{m_{\alpha}}{m_{e}}} \)
В. \( \sqrt{\frac{m_{e}}{m_{\alpha}}} \)
c. \( \frac{2 m_{e}}{m_{\alpha}} \)
D. \( \sqrt{\frac{m_{e}}{2 m_{\alpha}}} \) | 3 | Physics |
Which one of the following platinum complexes is used in cancer
chemotherapy?
\( A \cdot \operatorname{cis}-\left[P t C l_{2}\left(N H_{3}\right)_{2}\right. \)
B. trans \( -\left[P t C l_{2}\left(N H_{3}\right)\right] \)
\( \mathrm{c} \cdot\left[P t\left(N H_{3}\right)_{4}\right]^{2+} \)
\( \mathbf{D} \cdot\left[P t C l_{4}\right]^{2-} \) | 1 | Chemistry |
Evaluate:
\( \lim _{x \rightarrow \infty} \frac{3 \sqrt{x}+5 \sin ^{2} x-10 \log x}{5 \sqrt{x}+7 \cos ^{2} x+100 \log x} \)
A . 3 5
в. \( \frac{5}{3} \)
c. 15
D. \( \frac{1}{15} \) | 2 | Maths |
Active transport involves the transport of molecules across a cell membrane.
In order to establish and maintain a
concentration gradient, which of the following condition is suitable?
A. Free energy is used to drive molecules back-and-forth across the transmembrane protein
B. Free energy is used to drive molecules and across a transmembrane protein against the concentration gradient.
c. No free energy is required
D. There must be an equal quantity of molecules on both sides of the membrane | 0 | Biology |
Find the cube root of the number
704969 by looking at the last digit and using estimation | 2 | Maths |
The \( Q \) factor of an ac circuit lies
between:
A. 0 and 1
B. - 1 and 1
c. -1 and 0
D. none of these | 3 | Physics |
Let \( \left[\varepsilon_{o}\right] \) denote the dimensional formula
of the permittivity of the vacuum, and
\( \left[\mu_{o}\right] \) that of the permeability of the vacuum. If \( \mathrm{M}= \) mass, \( \mathrm{L}= \) length, \( \mathrm{T}= \) time
and I = electric current.
This question has multiple correct options
A \( \cdot\left[\mu_{o}\right]=M^{-1} L^{-3} T^{2} I \)
B . \( \left[\varepsilon_{o}\right]=M^{-1} L^{-3} T^{4} I^{2} \)
c. \( \left[\mu_{o}\right]=M L T^{-2} I^{-2} \)
\( \mathbf{D} \cdot\left[\mu_{o}\right]=M L^{2} T^{-1} I \) | 3 | Physics |
A motion which repeats itself after a fixed interval of time is called
A. vibratory motion
B. curvilinear motion
c. linear motion
D. straight line motion | 3 | Physics |
Which of the following is true about the angular momentum of a cylinder down a slope without slipping?
A. its magnitude changes but the direction remains same
B. both magnitude and direction change
c. only the direction change
D. neither change | 3 | Physics |
The force at the end that is held down.
A . 780 N
B. 220 N
c. \( 1920 \mathrm{N} \)
D. 1140 N | 3 | Physics |
According to the law of triads:
A. the properties of the middle element were in between those of the other two members.
B. three elements arranged according to increasing weights have similar properties.
C. the elements can be grouped in the groups of six elements.
D. every third element resembles the first element in periodic table. | 1 | Chemistry |
A ray of light strikes a glass plate at an
angle of \( 60^{\circ} . \) If the reflected and refracted rays are perpendicular to each other, the refractive index of glass is
\( ^{A} \cdot \frac{\sqrt{3}}{2} \)
B. 3
\( c \cdot \frac{1}{2} \)
D. \( \sqrt{3} \) | 3 | Physics |
Jacob and Monad studied lactose
metabolism in E.Coli and proposed
operon concept. Operon concept applicable for : -
A. All prokaryotes
B. All prokaryotes and some eukaryotes
c. All prokaryotes and all eukaryotes
D. All prokaryotes and some protozoanes | 0 | Biology |
The line L given by \( \frac{x}{5}+\frac{y}{b}=1 \) passes
through the point \( (13,32) . \) The line \( \mathrm{K} \) is parallel to L and has the equation \( \frac{x}{e}+ \) \( \frac{y}{3}=1 . \) Then the distance between L and
K is
A. \( \frac{23}{\sqrt{15}} \)
в. \( \sqrt{17} \)
c. \( \frac{17}{\sqrt{15}} \)
D. \( \frac{23}{\sqrt{17}} \) | 2 | Maths |
The magnetic moment of a complex is
4.9 B.M. Thus, unpaired electron(s)
maybe | 1 | Chemistry |
The thermal conductivity of a rod depends on:
A. length
B. mass
c. area of cross-section
D. material of rod | 3 | Physics |
Simplify: \( 3^{0}+2^{-2} \) | 2 | Maths |
Interfascicular cambium develops from
cells of.
A. Pericycle
B. Medullary rays
c. xylem parenchyma
D. Endodermis | 0 | Biology |
\( 100 \mathrm{ml} \) of \( 10 \mathrm{V} \mathrm{H}_{2} \mathrm{O}_{2} \) solution is heated.
The evolved gas is completely reacted with Ca to form CaO. The aqueous solution of Cao is neutralised by \( 50 \mathrm{m} \)
of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) solution. The molarity of
\( \boldsymbol{H}_{2} \boldsymbol{S O} \mathbf{4} \) is:
A. 2.43 M
B. 1.78 M
c. \( 1.55 \mathrm{M} \)
D. 2.78 м | 1 | Chemistry |
A two digit number is such that the product of its digits is \( 18 . \) When 63 is subtracted from the number, the digits interchange their places. Find the number | 2 | Maths |
Green house effect is warming due to
A. Infra-red rays reaching earth
B. Moisture layer in atmosphere
C. Increase in temperature due to increase in carbon dioxide concentration of atmosphere
D. Ozone layer of atmosphere | 0 | Biology |
One litre of a buffer solution contains
\( 0.01 \mathrm{M} N H_{4} C l \) and \( 0.1 \mathrm{M} N H_{4} O H . \) The
\( p^{k b} \) of base is \( 5 . p^{H} \) value of the solution
is:
\( A \cdot 9 \)
B. 10
\( c \cdot 4 \)
D. 6 | 1 | Chemistry |
The frequency of the 1 st harmonic of a sonometer wire is \( 160 H z \). If the length
of the wire is increased by \( 50 \% \) and the tension in the wire is decreased by
\( 19 \%, \) the frequency of its first overtone
is :
(Assume linear mass density to be constant
A. \( 180 H z \)
в. \( 192 \mathrm{Hz} \)
c. \( 220 H z \)
D. 232 Нг | 3 | Physics |
To get maximum current in resistance of \( 3 \Omega, \) one can use \( n \) parallel rows of \( m \)
cells each connected in series. If the
total no. of cells is 24 and the internal
resistance is 0.5 ohm then:
A. \( m=12, n=2 \)
в. \( m=8, n=3 \)
c. \( m=2, n=12 \)
D. \( m=6, n=4 \) | 3 | Physics |
For the following differential equation, find the general solution. \( \frac{d y}{d x}+x=1 \) | 2 | Maths |
Which of the following processes is NOT used to preserve the food?
A. Irradiation
B. Addition of salts
c. Addition of heat
D. Hydration | 1 | Chemistry |
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