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\( \lim _{x \rightarrow \infty}\left(\frac{3 x^{2}+2 x+1}{x^{2}+x+2}\right)^{\frac{6 x+1}{3 x+2}} \) is equal to
\( A \cdot 3 \)
B. 9
\( c \)
D. none of these | 2 | Maths |
One end of uniform wire of length \( L \) and of weight \( W \) is attached rigidly to a
point in the roof and a weight \( W_{1} \) is
suspended from the lower end. If \( \boldsymbol{A} \) is
the area of cross-section of the wire, the
stress in the wire at a height \( \frac{3 L}{4} \) from its lower end is:
A. \( \frac{W_{1}}{A} \)
\( ^{\text {В } \cdot} \frac{\left(W_{1}+\frac{W}{4}\right)}{A} \)
\( \frac{\left(W_{1}+\frac{3 W}{4}\right)}{A} \)
D. \( \frac{W_{1}+W}{A} \) | 3 | Physics |
\( \boldsymbol{A}=\left[\begin{array}{lll}2 & 3 & 1 \\ 4 & 1 & 5 \\ 3 & 9 & 7\end{array}\right] . \) Then the additive
inverse of \( \boldsymbol{A} \) is:
\( A \)
\[
\left[\begin{array}{ccc}
-2 & -3 & 1 \\
4 & -1 & -5 \\
-3 & 9 & -7
\end{array}\right]
\]
B.
\[
\left[\begin{array}{ccc}
-2 & -3 & -1 \\
-4 & -1 & -5 \\
-3 & -9 & -7
\end{array}\right]
\]
\( c \)
\[
\left[\begin{array}{ccc}
2 & -3 & -1 \\
-4 & 1 & -5 \\
-3 & -9 & 7
\end{array}\right]
\]
D.
\[
\left[\begin{array}{ccc}
-2 & -3 & -1 \\
-4 & -1 & -5 \\
-3 & 9 & -7
\end{array}\right]
\] | 2 | Maths |
If a resistance \( 5 \Omega \) is connected in the
left gap of a meter bridge and \( 15 \Omega \) in the other gap then position of balancing point is
\( A \cdot 10 \mathrm{cm} \)
B. 20 cm
c. \( 25 \mathrm{cm} \)
D. 75 cm | 3 | Physics |
Integrate :
\( \int\left(x^{4}-x^{2}+1-\frac{2}{1+x^{2}}\right) d x \) | 2 | Maths |
Electromagnets are used in which of the following?
A. Speaker
B. Motor
c. Generator
D. All of the above | 3 | Physics |
\( \Delta H \) and \( \Delta S \) for the reaction,
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{O}(\boldsymbol{s}) \longrightarrow \boldsymbol{2} \boldsymbol{A} \boldsymbol{g}(\boldsymbol{s})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
are \( 30.56 k J m o l^{-1} \) and
\( 66.0 J K^{-1} \) mol \( ^{-1} \) respectively. Calculate the temperature at which free energy change for the reaction will be zero.
Predict whether the forward reaction
will be forward above or below this
temperature. | 1 | Chemistry |
Which of the following solutions at the
same temperature will be isotonic?
A. \( 3.42 \mathrm{g} \) of cane sugar in one litre water and \( 0.18 \mathrm{g} \) of glucose in one litre water
B. 3.42 of cane sugar in one litre water and 0.18 g of glucose in 0.1 litre water
c. \( 3.42 \mathrm{g} \) of cane sugar in one litre water and \( 0.585 \mathrm{g} \) of NaCl in one litre water
D. 3.42 g of cane sugar in one litre water and 1.17 g of NaCl in one litre water | 1 | Chemistry |
Female gametophyte of angiosperm is
A . 7 celled
B. 8 celled
c. 11 celled
D. 5 celled | 0 | Biology |
Assertion : When a particle moves in a
circle with a uniform speed, its velocity and acceleration both changes.
Reason : The centripetal acceleration in circular motion is dependent on angular velocity of the body.
A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
B. If both Assertion and Reason are true but the Reason i not the correct explanation of the Assertion
c. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements | 3 | Physics |
The decreasing fugacity order of the following compounds is:
i. \( \boldsymbol{P h} \boldsymbol{S O}_{3}^{\ominus} \boldsymbol{i} \boldsymbol{i} . \boldsymbol{C}_{2} \boldsymbol{H}_{5} \boldsymbol{S O}_{3}^{\ominus} \)
ii \( i . C_{2} H_{5} C O O^{\ominus} \) iv. \( C_{N} \)
\( \boldsymbol{v} . \boldsymbol{O} \boldsymbol{H} \)
A \( \cdot(v)>(i v)>(i i i)>(i i)>(i) \)
B. \( (i)>(i i)>(i i i)>(i v)>(v) \)
c. \( (i v)>(v)>(i i i)>(i i)>(i) \)
D. \( (i)>(i i)>(i i i)>(v)>(i v) \) | 1 | Chemistry |
What is an ecological pyramid?
Compare the pyramids of energy, biomass and numbers. | 0 | Biology |
The plates of a parallel plate capacitor
have an area of \( 90 \mathrm{cm}^{2} \) each and are
separated by \( 2.5 m m . \) The capacitor is
charged by a 400 volt supply. How much electrostatic energy is stored by the capacitor?
A \( .2 .55 \times 10^{-6} J \)
В. \( 1.55 \times 10^{-6} J \)
c. \( 8.15 \times 10^{-6} J \)
D. \( 5.5 \times 10^{-6} J \) | 3 | Physics |
State True or False:
Dynamo output can be coupled to a transformer.
A. True
B. False | 3 | Physics |
Solve
\( y-12=-5 \) | 2 | Maths |
The line through \( A(-2,3) \) and \( B(4, b) \) is
perpendicular to the line \( 2 x-4 y=5 \)
Find the value of \( |\boldsymbol{b}| \) | 2 | Maths |
Standard E.M.F. experienced by the person with dental filling is:
A . \( +3.89 V \)
B . \( 2.89 V \)
c. \( 0.93 V \)
D. \( +0.43 V \) | 1 | Chemistry |
Which one of the following is used to make 'non-stick' cookware?
A. Polystyrene
B. PVC
c. Polyethylene terephthalate
D. Polytetra fluoroethylene | 1 | Chemistry |
If \( x^{2}+a x+b \) is an integer for every
integer \( \boldsymbol{x} \) then
A. \( a \) is always an integer but b need not be an integer
B. \( b \) is always an integer but a need not be an integer
\( \mathrm{c} \cdot a+b \) is always an integer
D. none of these | 2 | Maths |
\( \boldsymbol{A l}+\boldsymbol{N} \boldsymbol{O}_{\mathbf{2}}^{-} \rightarrow \boldsymbol{A l}(\boldsymbol{O} \boldsymbol{H})_{4}^{-}+\boldsymbol{N} \boldsymbol{H}_{3} \)
The oxidizing agent for this reaction
is
A . \( A l \)
в. \( N \)
\( c \cdot O \)
D. both \( A \) and \( B \) | 1 | Chemistry |
The minimum resistance that can be
obtained by connecting 5 resistance of \( \frac{1}{4} \Omega \) each is
A \( \cdot \frac{4}{5} \Omega \)
в. \( \frac{4}{\Omega} \)
\( c .20 \Omega \)
D. \( 0.05 \Omega \) | 3 | Physics |
Assertion: An isosceles \( \Delta \) is right angled.
Reason \( : \angle A=\angle B=45^{\circ} \) and \( \angle C= \)
\( \mathbf{9 0}^{\circ} \)
Which of the following statement is
true?
A. A is true and \( \mathrm{R} \) is the correct explanation of
B. A is true and R is not the correct explanation of
c. A is false
D. None of these | 2 | Maths |
Find the reduced form of the expression \( \frac{20 u^{3} v^{2}-15 u^{2} v}{10 u^{4} v+30 u^{3} v^{3}} \)
A \( \cdot \frac{5 u v}{40 u^{7} v^{4}} \)
в. \( \frac{2 v-1}{u+2 u v^{2}} \)
c. \( \frac{4 u v-3}{2 u^{2}+6 u v^{2}} \)
D. \( \frac{2 u v-3 u v^{2}}{u^{2}+6} \) | 2 | Maths |
The resistivity of the conductors is of
the order of
A \( \cdot 10^{8} \Omega m \)
B . \( 10^{-8} \Omega m \)
\( \mathbf{c} \cdot 10^{8} \Omega \)
D. \( 10^{-8} \Omega \) | 3 | Physics |
Wave motion happens due to
A. propagation of energy
B. propagation of matter
C. propagation of both energy and matter
D. None of these. | 3 | Physics |
A top of mass \( m=1.0 \mathrm{kg} \) and
moment of inertia relative to its own
axis \( I=4.0 g m^{2} \) spins with an angular
velocity \( \omega=310 \) rad/s. Its point of rest
is located on a block which is shifted in
a horizontal direction with a constant
acceleration \( \boldsymbol{w}=\mathbf{1 . 0} \boldsymbol{m} / \boldsymbol{s}^{2} . \) The
distance between the point of rest and the centre of inertia of the top equals
\( l=10 \mathrm{cm} . \) If the angular velocity of
precession \( \omega^{\prime} \) is \( x \) find the value of \( 10 x \) | 3 | Physics |
(2R,4S)-2,4-Dichloropentane and \( (2 S, 4 R)-2,4 \) -dichloropentane are:
A. diastereomers
B. constitutional isomers
c. enantiomer
D. identical | 1 | Chemistry |
If the 9 th term of an A.P is 35 and 19 th
is \( 75, \) then its 20 th term will be
\( \mathbf{A} \cdot 78 \)
B. 79
c. 80
D. 81 | 2 | Maths |
Indian rose wood tree is common name
of
A. Acacia
B. Shorea
c. Dalbergia
D. Eucalyptus | 0 | Biology |
When spheres are raised to the same
temperature
A .1: 32: 243
B . 1: 8: 27
c. 1: 16: 128
D. 1: 4: 9 | 3 | Physics |
\( \frac{\sqrt{2}}{\frac{5}{2}} \) | 3 | Physics |
The oxidation number of \( S \) in \( N a_{2} S_{4} O_{6} \)
is :
A . +2.5
B. +2 and +3 (two \( S \) have +2 and other two have +3 )
\( \mathrm{c} \cdot+2 \) and +3 (three \( S \) have +2 and one \( S \) has +3
D. +5 and 0 (two S have +5 and the other two \( S \) have 0 ) | 1 | Chemistry |
\( 3 \mathrm{g} \) of salt of molar mass 30 is dissolved in 250 g of water. The molality of a solution is \( x \) M. The value of \( 10 x \) is | 1 | Chemistry |
Pure water is a \( -=------ \) conductor of
electricity.
A. good
B. bad
c. semi
D. none of the above | 1 | Chemistry |
Out of \( 1 M B a C l_{2} \) and \( 1 M A l C l_{3}, \) which
one has higher freezing point and why? | 1 | Chemistry |
\( \left(\begin{array}{lll}\mathbf{7} & \mathbf{1} & \mathbf{5} \\ \mathbf{8} & \mathbf{0} & \mathbf{0}\end{array}\right)\left(\begin{array}{l}\mathbf{2} \\ \mathbf{3} \\ \mathbf{1}\end{array}\right)+\mathbf{5}\left(\begin{array}{l}\mathbf{1} \\ \mathbf{0}\end{array}\right) \) is equal to
A \( \cdot\left(\begin{array}{l}16 \\ 27\end{array}\right. \)
B. \( \left(\begin{array}{l}27 \\ 16\end{array}\right. \)
c. \( \left(\begin{array}{l}15 \\ 16\end{array}\right. \)
D. \( \left(\begin{array}{l}16 \\ 15\end{array}\right. \) | 2 | Maths |
In how many rears will a sum of Rs. 800
at \( 10 \% \) per annum compound interest, compounded semiannually becomes
Rs. \( 926.10 ? \)
A. 1 year
B. 3 years
c. 2 years
D. \( 1 \frac{1}{2} \) years | 2 | Maths |
toppr
Q Type your question
\( A \)
B
\( c \)
\( D \) | 3 | Physics |
A student was carrying out a Grignard reaction between \( P h M g B r \) and ethyl
benzoate. She ran out of anhydrous ether just after the Grignard reagent was made. Which of the following solvents can still used to dissolve the
ethyl benzoate for its reaction with
already formed \( \boldsymbol{P h} M \boldsymbol{g} \boldsymbol{B r} \)
A. acetone
B. ethyl acetate
c. absolute alcohol
D. benzene | 1 | Chemistry |
Electric charge is uniformly distributed along a long straight wire of a radius of 1 mm. The Charge per cm length of the wire is Q coulomb. Another cylindrical surface
of radius \( 50 \mathrm{cm} \) and length \( 1 \mathrm{m} \) symmetrically encloses the wire as shown in fig. The total flux passing through the cylindrical surface
is
A \( \cdot \frac{Q}{\epsilon_{0}} \)
в. \( \frac{100 Q}{\epsilon_{0}} \)
c. \( \frac{10 Q}{\pi \epsilon_{0}} \)
D. \( \frac{100 Q}{\pi \epsilon_{0}} \) | 3 | Physics |
If \( 9.2 \mathrm{cm} \) is the diameter of a circle then
its radius is
A \( .4 .1 \mathrm{cm} \)
в. \( 4.6 \mathrm{cm} \)
c. \( 4.8 \mathrm{cm} \)
D. \( 4.3 \mathrm{cm} \) | 2 | Maths |
Which of the following statement is true for Iymph?
A. WBC and serum
B. All components of blood expect RBCs and some proteins
c. RBCs WBCs and plasma
D. RBCs proteins and platelets | 0 | Biology |
Which of the following is not directly
formed from DNA?
A. DNA
B. Protein
c. \( m \) RNA
D. t RNA | 0 | Biology |
Atomic number is
A. the total number of protons present in the nucleus of an atom.
B. an atom of each element having a definite combining capacity.
C. the electrons present in the outermost shell of an atom.
D. an outermost-shell, which had eight electrons. | 1 | Chemistry |
why does the sky sometimes appear white? | 3 | Physics |
Food is stored in Rhizopus/ Cystopus
Fungi as
A. Protein and steroids
B. Sugar and oil
c. Protein and starch
D. Glycogen and oil | 0 | Biology |
Ethylamine is?
A. \( C H_{3}-C H_{2}-C H_{3} \)
в. \( C H_{3}-\underset{O}{\|}-O H \)
c. \( C H_{3}-O-C_{3} H_{7} \)
D. \( C H_{3}-C-C H_{3} \)
I
O
E \( \cdot C H_{3}-C H_{2}-N H_{2} \) | 1 | Chemistry |
Sum of the probabilities of all the elementary events of an experiment is
\( \mathbf{A} \cdot \mathbf{0} \)
B. 0.2
c. 1
D. 0.8 | 2 | Maths |
In the electronic structure of \( \mathrm{H}_{2} \mathrm{SO}_{4} \), the
total number of shared electrons is:
A . 20
B . 16
c. 12
D. 8 | 1 | Chemistry |
For \( B e, Z_{e f f}=1.95 \) and for \( \boldsymbol{B} \boldsymbol{e}^{\boldsymbol{x}+}, \boldsymbol{Z}_{\boldsymbol{e f f}}=\mathbf{2 . 3 0 .} \) Hence, ion is:
\( \mathbf{A} \cdot B e^{+} \)
в. \( B e^{2} \)
\( \mathbf{c} \cdot B e^{3+} \)
D. \( B e \) | 1 | Chemistry |
What will a deposit of Rs. 5,500 at \( 8 \% \)
compounded quarterly interest be worth, if left in the bank for 10 years? | 2 | Maths |
The collector supply voltage in \( \mathrm{CE} \) transistor amplifier is \( 10 V . \) The base
current is \( 10 \mu A \) in the absence of the
signal voltage and the voltage between the collector and the emitter is \( 4 V \). The
current gain \( (\beta) \) of a transistor is 200
then the value of the load resistance \( \boldsymbol{R}_{\boldsymbol{L}} \)
\( \mathbf{A} \cdot 2 k \Omega \)
в. \( 1 k \Omega \)
\( c .3 k \Omega \)
D. \( 4 k \Omega \) | 3 | Physics |
Sewer gas is a complex mixture of:
A. toxic and nontoxic gases
B. toxic gases
c. nontoxic gases
D. inert gases | 1 | Chemistry |
The points \( \boldsymbol{A}(\mathbf{2}, \mathbf{9}), \boldsymbol{B}(\boldsymbol{a}, \mathbf{5}), \boldsymbol{C}(\mathbf{5}, \mathbf{5}) \) are
the vertices of a triangle \( A B C \) right
angled at B. find the value of \( ^{\prime} a^{\prime} \) and
hence the area of \( \Delta A B C \) | 2 | Maths |
Which of the following is an occupational respiratory disease
A. A)diptheria
B. B) pneumonia
c. \( \mathrm{c} \) tuberculosis
D. D) asbestosis | 0 | Biology |
The central equation of the quantum theory is the Schrodinger equation. If true enter 1 , else enter 0 . | 1 | Chemistry |
The direction cosines of the normal to
the plane \( 5 y+4=0 \) are?
A \( \cdot 0, \frac{-4}{5}, 0 \)
в. 0,1,0
c. 0,-1,0
D. None of these | 2 | Maths |
A large insulated sphere of radius \( r \)
charged with \( Q \) units of electricity is placed in contact with a small insulated uncharged sphere of radius \( r^{\prime} \) and is
then separated. The charge on the smaller sphere will now be:
A \( \cdot \frac{Q\left(r^{\prime}+r\right)}{r^{\prime}} \)
в. \( \frac{Q\left(r^{\prime}+r\right)}{r} \)
c. \( \frac{Q r}{\left(r^{\prime}+r\right)} \)
D. \( \frac{Q_{r}^{\prime}}{\left(r^{\prime}+r\right)} \) | 3 | Physics |
Assertion
If the angles of the base of the prism are
equal, then in the position of minimum deviation, the refracted ray will pass parallel to the base of prism.
Reason
In the case of minimum deviation, the
angle of incidence is equal to the angle
of emergence.
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 |
The activity of a radioactive substance
is \( R_{1} \) at time \( t_{1} \) and \( R_{2} \) at time \( t_{2}\left(>t_{1}\right) \)
Its decay constant is \( \lambda \). Then
A \( . R_{1} t_{1} \)
B \( \cdot R_{2}=R_{1} e^{\lambda\left(t_{1}-t_{2}\right)} \)
c. \( \frac{R_{1}-R_{2}}{t_{2}-t_{1}}= \) constant
D. \( R_{2}=R_{1} e^{\lambda\left(t_{2}-t_{1}\right)} \) | 3 | Physics |
The identity elements with respect to multiplication in integers is
A .
B. - -
c. 0
D. none | 2 | Maths |
The voltage across \( \boldsymbol{Q} \) is
7.60
\( \mathbf{A} \cdot 20 V \)
B. \( \frac{\sqrt{1350}}{10} V \)
c. \( 5.5 V \)
D. \( \frac{\sqrt{9524}}{10} V \) | 3 | Physics |
Gravitational force is the weakest force
in nature. Explain. | 3 | Physics |
Coordination compounds have great
importance in biological systems. In
this context which of the
following statement(s) is/are incorrect?
A. Chlorophyll is a green pigment in plants and contains calcium
B. Haemoglobin is the red pigment of blood and contains iron
C. Cyanocobalamin is \( B_{12} \) and contains cobalt
D. Carboxypeptidase A is an enzyme and contains zinc | 1 | Chemistry |
The heat capacity of a certain amount
of a particular gas at constant pressure
is greater than that at constant volume by \( 29.1 \mathrm{J} / \mathrm{K} . \) Match the items given in
Column I with the items given in Column II.
List 1
If the gas is monatomic, heat capacity at constant volume
If the gas monatomic, heat capacity at constant pressure
If the gas is rigid diatomic, heat capacity at constant pressure
If the gas is vibrating diatomic, heat capacity at constant pressure
\( \mathbf{A} \cdot A \rightarrow 2, B \rightarrow 3, C \rightarrow 4, D \rightarrow 1 \)
B. \( \mathrm{B} \rightarrow 1, \mathrm{C} \rightarrow 3, \mathrm{D} \rightarrow 4, \mathrm{A} \rightarrow 1 \)
C. \( \mathrm{C} \rightarrow 1, \mathrm{D} \rightarrow 3, \mathrm{A} \rightarrow 4, \mathrm{B} \rightarrow 1 \)
D. \( D \rightarrow 1, A \rightarrow 3, B \rightarrow 4, C \rightarrow 1 \) | 3 | Physics |
Which scientist experimentally proved the existence of electromagnetic wave.
A. Marconi
B. Hertz
c. мaxwell
D. S.C.Bose | 3 | Physics |
The number of amino acids in insulin is:
A . 2
B. 574
\( c \cdot 51 \)
D. 5733 | 1 | Chemistry |
If \( \boldsymbol{a}>\mathbf{0} \) and \( \int_{0}^{a}[\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}(-\boldsymbol{x})] \boldsymbol{d} \boldsymbol{x}= \)
\( \int_{-a}^{a} \phi(x) d x \) then one of the possible
values of \( \phi(x) \) can be
A \( \cdot f(-x) \)
B . \( -f(x) \)
c. \( \frac{1}{2} f(x) \)
D. none of these | 2 | Maths |
Hot milk is easier to drink from a bowl
than from a glass. Mention the reason. | 3 | Physics |
Compare the focussing in a camera with the focussing in a human eye. | 3 | Physics |
If \( \theta \) is the angle between the lines whose vector equations are \( \overrightarrow{\boldsymbol{r}}=\boldsymbol{3} \overrightarrow{\boldsymbol{i}}+\boldsymbol{2} \overrightarrow{\boldsymbol{j}}+ \)
\( 4 \vec{k}+\lambda(\vec{i}+2 \vec{j}+2 \vec{k}) \) and \( \vec{r}=5 \vec{i} \)
\( 2 \vec{k}+\mu(3 \vec{i}+2 \vec{j}+6 \vec{k}) ; \lambda \) and \( \mu \) being
parameters, then
This question has multiple correct options
\( ^{\mathbf{A}} \cdot \cos \theta=\frac{19}{21} \)
B. \( \sin \theta=\frac{19}{21} \)
\( ^{\mathbf{C}} \sin \theta=\frac{4 \sqrt{5}}{21} \)
D. \( \cos \theta=\frac{4 \sqrt{5}}{21} \) | 2 | Maths |
Cobalt-60 is used to irradiate tumors
with \( \gamma \) -rays
\( _{27}^{60} C o \longrightarrow_{28}^{60} N i+_{-1}^{0} e+\gamma \)
Which is responsible for destroying cancer-cells?
A \( \cdot \gamma- \) rays
В. \( \alpha- \)rays
\( \mathbf{c} \cdot \beta-r a y s \)
D. None of these | 1 | Chemistry |
If \( \alpha \) and \( \beta \) are the roots of \( a x^{2}+b x+ \)
\( c=0, \) then the quadratic equation
whose roots are \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) is
A \( \cdot a x^{2}+b x+c=0 \)
B. \( b x^{2}+a x+c=0 \)
c. \( c x^{2}+b x+a=0 \)
D. \( c x^{2}+a x+c=0 \) | 2 | Maths |
Which letter orbital corresponds to \( l= \)
2?
A.
B.
\( c \cdot d \)
D.
E. | 1 | Chemistry |
Which of the following statements is
correct with respect to the property of elements with increase in atomic
number in the carbon family (group 14)?
A. Their metallic character decreases
B. The stability of +2 oxidation state increases.
c. Their ionization energy increases.
D. Their atomic size decreases | 1 | Chemistry |
What is slaked lime? | 1 | Chemistry |
In human beings the blood goes to the
heart in one cycle once. Is it true or
false? | 0 | Biology |
Which of the following reactions takes place at anode?
A. Reduction
B. Oxidation
c. Decomposition
D. Dissolution | 1 | Chemistry |
The sum of the coefficients in the first
three terms of the expansion of \( \left(x^{2}-\frac{2}{x}\right)^{m} \) is equal to \( 97 . \) Find the term of the expansion containing \( \boldsymbol{x}^{4} \) | 2 | Maths |
When a solid sphere moves through a liquid the liquid opposes is the motion
with a force the magnitude of the force depends upon the coefficient of viscosity of the liquid the radius of the
sphere find the expression of force using dimension formula:
A \( \cdot v t=\frac{2(d-\rho) g r^{2}}{8 \eta} \)
B. \( v t=\frac{(d-\rho) g r^{2}}{6 \eta} \)
c. \( v t=\frac{2(d-\rho) g r^{2}}{9 \eta} \)
\( V t=\frac{(d-\rho) g r^{2}}{9 \eta} \) | 3 | Physics |
Which of the following statements is
false?
A \( \cdot \) At temperature equal to \( \frac{a}{R b} \) (where a and b are vander Waal's constant). real gases obey ideal gas laws over an appreciable range of pressure
B. Most probable speed of a gas is always greater than its average speed
C. Dalton's law of partial pressure is not valid for reacting gases
D. A gas cannot be liquified above its critical temperature | 1 | Chemistry |
The freezing point of one molal \( N a C l \)
solution assuming \( N a C l \) to be \( 100 \% \) dissociated in water is:
[Molal depression constant is \( 1.86] \)
A \( .-2.72^{2} C \)
В. \( -3.72^{2} C \)
c. \( 2.72^{2} C \)
D. \( 3.72^{2} C \) | 1 | Chemistry |
\( f \tan ^{-1} \frac{x-1}{x-2}+\tan ^{-1} \frac{x+1}{x+2}=\frac{\pi}{4}, \) then
find the value of \( x \) | 2 | Maths |
The ' \( C^{\prime} \) shaped structure of alimentary
canal is
A. Stomach
B. Oesophagus
c. Duodenum
D. Vermiform appendix | 0 | Biology |
Draw a line \( P Q=12.5 \mathrm{cm} . \) Divide it 7
equal parts. | 2 | Maths |
Bacteria are examples of
A. Protistan cells
B. Eukaryotic cells
c. Animal cells
D. Prokaryotic cells | 0 | Biology |
Which is the most effective method of
separating mixtures of miscible volatile liquids?
A. Fractional distilliation
B. Simple distillation
c. chromatography
D. Filtration | 1 | Chemistry |
What is standard deviation of the set of
observations \( 32,28,29,30,31 ? \)
A . 1.6
B. \( \sqrt{2} \)
\( c \cdot 2 \)
D. none of these | 2 | Maths |
If the roots of the equation \( p x^{2}+q x+ \)
\( r=0 \) are in the ratio \( =l: m \)
\( \left(l^{2}+m^{2}\right) p r+l m\left(2 p r-q^{2}\right)=0 \) | 2 | Maths |
The volume of blood each ventricle
pumps out during a cardiac cycle is
about
A . 70 \( \mathrm{ml} \)
B. 5000 ml
c. \( 71 \mathrm{ml} \)
D. 1200 m! | 0 | Biology |
Milk curdles when lemon juice is added.
This is :
A. evaporation
B. coagulation
c. reversible
D. photochemical change | 1 | Chemistry |
Sulphur sol contains:
A. discrete \( S \) -atoms
B. discrete \( S \) -molecules
C. large aggregates of \( S \) -molecules
D. water dispersed in solid sulphur | 1 | Chemistry |
The vapour pressure of two liquids 'P and 'Q' are 80 and 60 torr, respectively.
The total vapour pressure of solution obtained by mixing 3 mole of \( P \) and 2 mole of Q would be:
A. 68 torr
B. 140 torr
c. 72 torr
D. 20 torr | 1 | Chemistry |
Which of the following statements is
wrong?
A. Mean free path varies inversely with the number of molecules per unit volume of gas.
B. The time spent during a collision is appreciable and attraction among molecules give rise to force.
C. Mean free path is independent of the temperature or pressure in a sample of gas in a container of fixed volume
D. If \( \lambda \) is mean free path, the \( \lambda \propto T \) at constant \( P \) and \( \lambda \propto \)
\( \frac{1}{P} \) at constant \( T \) | 1 | Chemistry |
ff \( \mathbf{5} \boldsymbol{A}=\left(\begin{array}{cc}\mathbf{3} & \mathbf{- 4} \\ \mathbf{4} & \boldsymbol{x}\end{array}\right) \) and \( \boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}}= \)
\( A^{T} A=I, \) then the value of \( x, \) is
\( A \cdot 3 \)
B. -3
\( c \cdot 2 \)
D. - 2 | 2 | Maths |
A copper coin was electroplated with Zn and then heated at high temperature until there is a change in colour. What will be the resulting colour?
A. White
B. Black
c. Silver
D. Golden | 1 | Chemistry |
Which among ice and water has the higher specific heat capacity?
A . Ice
B. Water
\( c \cdot \) both \( A \& B \)
D. none of the above | 3 | Physics |
Organic molecules always contain:
A. hydrogen
B. oxygen
c. carbon
D. sulfur
E. nitrogen | 1 | Chemistry |
What happens when \( S O_{2} \) is passed
through acidified \( K_{2} C r_{2} O_{7} \) solution? | 1 | Chemistry |
f \( \boldsymbol{A}=(-\mathbf{3}, \mathbf{2}, \mathbf{5}), \boldsymbol{B}=(-\mathbf{3}, \mathbf{4}, \mathbf{5}) \) and
\( C=(-3,4,7) \) are the position vectors
of vertices of \( \Delta A B C \) then its
circumcentre is
A. (-3,3,5)
(年 \( \cdot(-3,3,5) \)
В. (-3,3,6)
c. (-3,4,6)
a
D. (-3,4,7) | 2 | Maths |
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