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The two molecules indicated are capable of intramolecular hydrogen bonding which is likely to form more stable hydrogen bonds. Select the correct statement A. A has higher H-bonding B. B has higher H-bonding C. Both A and B have equal H-bonding D. None of these
1
Chemistry
The surface energy of a liquid drop is \( \boldsymbol{E} \) It is sprayed into 1000 equal droplets. The work done in spraying is \( \mathbf{A} \cdot 999 E \) в. \( 99 E \) \( \mathrm{c} .9 \mathrm{E} \) D. \( E \)
3
Physics
State the nature of the given quadratic equation \( 3 x^{2}+4 x+1=0 \) A. Real and Distinct Roots B. Real and Equal Roots c. Imaginary Roots D. None of the above
2
Maths
An ideal gas is initially at \( P_{l}, V_{1} \) is expanded to \( P_{2}, V_{2} \) and then compressed adiabatically to the same volume \( V_{l} \) and pressure \( P_{3} \).If \( W \) is the net work done by the gas in complete process which of the A. \( W>0 ; P_{3}>P_{1} \) В. \( W<0 ; P_{3}>P_{1} \) c. \( W<0 ; P_{3} \) D. \( P_{2}>P_{1} ; W<0 \)
3
Physics
A scientist took 8 molecules of cytosoic aldolase into an enzyme reaction mixture to study its activity. After ten minutes of enzyme reaction, \( 60 \% \) of its substrate was found converted into 2400 molecules of products. Then what is the TON of aldolase and number of substrate molecules left over in the reaction mixture? A . 30,1440 B. 30,960 \( c .15,1280 \) D. 15,800
0
Biology
Choose the correct answer from the alternatives given. The \( _{--} \) produces red blood cells, which transport \( _{--} \) and some A. liver, oxygen, mineral ions B. liver, oxygen, carbon dioxide c. bone marrow; oxygen; hormones D. bone marrow; oxygen; carbon dioxide
0
Biology
A stone is tied to the middle of a string and suspended from one end as shown in the given figure. Here \( S \) is the stone and 0 is the point of suspension. If you give a sharp jerk at \( P, \) the string will break: A. below the stone B. at the point P itself c. from above the stone D. nothing can be decided
3
Physics
In the conversion of \( B r O_{3}- \) to \( B r O_{4}^{-} \) A. there is no change in oxidation number B. reduction takes place in basic solution C. reduction also takes place by \( X e F_{2} \) D. equivalent mass of \( B r O_{3}^{-} \) is one-half of ionic mass
1
Chemistry
The roots of the equation \( x^{2}+2 \sqrt{3} x+ \) \( \mathbf{3}=\mathbf{0} \) are A . real and unequal B. rational and equal c. irrational and equal D. irrational and unequal
2
Maths
In A.C circuit having only capacitor, the current A ' lags behind the voltage by \( \frac{\pi}{2} \) in phase B. Ieads the voltage by \( \frac{\pi}{2} \) in phase c. leads the voltage by \( \pi \) in phase D. lags behind the voltage by \( \pi \) in phase
3
Physics
Find values of \( k \) if area of triangle is 4 sq. units and vertices are (i) \( (k, 0),(4,0),(0,2) \) (ii) \( (2,0),(0,4),(0, k) \)
2
Maths
\( \int_{1}^{2} \frac{1-x}{1+x} d x \) equals \( \left(\frac{1}{2}\right) \log \left(\frac{3}{2}\right)-1 \) B \( \cdot 2 \log \left(\frac{3}{2}\right)-1 \) \( ^{\mathbf{C}} \cdot \log \left(\frac{3}{2}\right)-1 \) D. None of these
2
Maths
A circular loop of radius \( \boldsymbol{R} \), carrying current \( I \), lies in \( x-y \) plane with its center at the origin. The total magnetic flux through \( x-y \) plane is This question has multiple correct options A. directly proportional to \( l \) B. directly proportional to \( R \) c. inversely proportional to \( R \) D. zero
3
Physics
Assertion No net force acts on a rectangular coil carrying a steady current when suspended freely in a uniform magnetic field. Reason Force on coil in magnetic field is always non-zero. A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. C. If Assertion is correct but Reason is incorrect. D. If Assertion is incorrect but Reason is correct.
3
Physics
The differential equation of the family of curves \( r^{2}=a^{2} \cos 2 \theta \) where 'a' is arbitrary constant is: This question has multiple correct options A \( \cdot \frac{d r}{d \theta}=-r \tan 2 \theta \) B. \( \frac{d r}{d \theta}=r \cot 2 \theta \) c. \( \frac{d r}{d \theta} \cos 2 \theta+r \sin 2 \theta=0 \) D. \( \frac{d r}{d \theta}=0 \)
2
Maths
Sum of all the rational terms in the expansion of \( \left(2^{1 / 3}+3^{1 / 2}\right)^{6} \) is A . 31 B. 83 c. 27 D. 91
2
Maths
The \( x \) and \( y \) coordinates of the particle at any time are \( x=5 t-2 t^{2} \) and \( y= \) 10t respectively, where \( x \) and \( y \) are in meters and \( t \) in seconds. The acceleration of the particle at \( t=2 s \) is: \( A \cdot 0 \) В. \( 5 m / s^{2} \) c. \( -4 m / s^{2} \) D. \( -8 m / s^{2} \)
3
Physics
A ray of light is incident at the glass- water interface at an angle i. It merges finally parallel to the surface of water. Then, the value of \( \mu_{g} \) would be : A \( \cdot(4 / 3) \sin i \) B. \( 1 / \)sini c. \( 4 / 3 \) \( D \)
3
Physics
Enzymes are also called biocatalyst? A. True B. False
0
Biology
A cold, green flame can be made by passing carbon dioxide over warm. A. Grey tin B. White phosphorous c. Bronze D. Green candles
1
Chemistry
Convert the following ratios into percentage: 47: 50:
2
Maths
Assertion Aluminium containers can be used for \( \operatorname{storing} \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) Reason Nitric acid cannot oxidize aluminium at all. 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
The number of coordinate bonds presents in \( S O_{3} \) molecule are: \( \mathbf{A} \cdot \mathbf{1} \) B. 2 \( c \cdot 3 \) D. none of these
1
Chemistry
A light circular cone buoy is pressed by a \( 500 N \) force as shown in figure then the path depth upto which it will submerge is A \( .1 .7 \mathrm{m} \) 3. 2.0 . \( c .2 .1 m \) D. 3.0
3
Physics
Vector \( \vec{A} \) is \( 2 c m \) long and is \( 60^{\circ} \) above the \( x \) -axis in the first quadrant. Vector \( \vec{B} \) is \( 2 c m \) long and is \( 60^{\circ} \) below the \( x \) axis in the fourth quadrant. The sum \( \vec{A}+\vec{B} \) is a vector of magnitude A. \( 2 c m \) along positive y-axis B. 2cm along positive x-axis c. \( 2 c m \) along negative y-axis D. \( 2 c m \) along negative x-axis
2
Maths
A student is asked to connected four cells of e.m.f of \( 1 \mathrm{V} \) and internal resistance 0.5 ohm in series with an external resistance of 1 ohm. But one cell is wrongly connected by him with its terminal reversed. the current in the circuit is A \( \cdot \frac{1}{3} A \) в. \( \frac{2}{3} A \) c. \( \frac{3}{4} \) D. \( \frac{4}{3} \)
3
Physics
Wrote the following as mixed fraction \( \frac{7}{2}, \frac{8}{5} \)
2
Maths
Which of the following statements is true about RBCs in humans? A. They carry about \( 20-25 \) per cent of \( C O_{2} \) B. They transport 99.5 per cent of \( O_{2} \) C. They transport about 80 per cent oxygen only and the rest 20 per cent of it is transported in dissolved state in blood-plasma. D. They do not carry \( C O_{2} \) at all.
0
Biology
Persistent calyx is characteristics of A. Allium / Liliaceae B. Hibiscus / Malvaceae C. Dalbergia / Papionatae D. Solanum / Solanaceae
0
Biology
Which step in the following problem is wrong? \( \boldsymbol{a}=\boldsymbol{b}=\mathbf{1} \) \( \boldsymbol{a}=\boldsymbol{b} \) step-1: \( a^{2}=a b \) step-2: \( a^{2}-b^{2}=a b-b^{2} \) step-3: \( (\boldsymbol{a}+\boldsymbol{b})(\boldsymbol{a}-\boldsymbol{b})=\boldsymbol{b}(\boldsymbol{a}-\boldsymbol{b}) \) step- \( 4: a+b=\frac{b(a-b)}{a-b} \) \( \boldsymbol{a}+\boldsymbol{b}=\boldsymbol{b} \) \( \mathbf{1}+\mathbf{1}=\mathbf{1} \) \( \mathbf{2}=\mathbf{1} \) A. Step-4 B. Step-3 c. step- - D. Step- -
2
Maths
Find the area of the Parallelogram ABCD and hence find the value of \( x \)
2
Maths
2011 is the international year of chemistry. "Chemistry is our life, our future", is the motto. "Chemistry is not a problem but a solution" is the message of green chemistry. Explain the relevance of this message.
1
Chemistry
Which of the following arrangments does not represent the correct order of the property stated against it? (1) \( V^{2+}<C r^{2+}<M n^{2}<F e^{2+} \) paramagnetic behaviour (2) \( N i^{2+}<C o^{2+}<F e^{2+}<M n^{2+} \) ionic size (3) \( C o^{3+}<F e^{3+}<C r^{3+}<S c^{3+} \) stability in aqueous solution (4) \( S c<T i<C r<M n: \) number of oxidation states
1
Chemistry
What describes a spontaneous reaction? A. Positive \( \Delta H \) B. Negative \( \Delta H \) c. Positive \( \Delta G \) D. Negative \( \Delta G \)
1
Chemistry
Which of the following is planar? A. \( X e F_{2} \) в. \( X e O_{3} F \) c. \( X e O_{2} F_{2} \) D. \( X e F_{4} \)
1
Chemistry
Prussian blue colour is obtained by mixing together an aqueous solution of \( \boldsymbol{F} \boldsymbol{e}^{\boldsymbol{3}+} \) salt with: A. ferricyanide B. ferrocyanide c. hydrogen cyanide D. sodium cyanide
1
Chemistry
The value of magnetic susceptibility for para-magnetic substance is A . infinity B. low positive c. low negative D. zero
3
Physics
Mechanical waves transport A. Energy only B. Energy and mass C. Mass only D. Neither energy not mass
3
Physics
The audible frequency for a normal human being is \( 20 \mathrm{Hz} \) to \( 20 \mathrm{kHz} \). Find the corresponding wavelengths if the speed of sound in air \( 320 \mathrm{m} / \mathrm{s} \)
3
Physics
A solution at \( 20^{\circ} \mathrm{C} \) is composed of 1.5 mol of benzene and 3.5 mol of toluene. If the vapour pressure of pure benzene of pure benzene and pure toluene at this temperature are 74.7 torr and 22.3 torr. respectively, then the total vapour pressure of the solution and the benzene mole fraction in equilibrium with it will be, respectively. A. 38.0 torr and 0.589 B. 30.5 torr and 0.389 c. 35.8 torr and 0.280 D. 35.0 torr and 0.480
1
Chemistry
Two bodies are in thermal equilibrium if they have the same: A. temperatures B. amount of heat c. specific heat D. thermal capacity
3
Physics
Explain the formation of \( \boldsymbol{O}_{2} \) molecule using molecular orbital theory.
1
Chemistry
It is assumed that a photon takes \( 10^{6} \) years to reduce travel from core to the surface of the sun. Find the average distance that light can travel within the interior of the sun without being scattered. \( \mathbf{A} \cdot 2 m m \) в. \( 0.1 \mathrm{mm} \) \( \mathrm{c} .0 .4 \mathrm{mm} \) D. \( 0.6 \mathrm{mm} \)
3
Physics
The glittering nature of diamond is due to? A. Giant polymer structure B. High refractive index C. High IP value of carbon D. High electro negativity of carbon
1
Chemistry
The value of \( \wedge_{m}^{\infty} \) for \( K C l \) and \( K N O_{3} \) are 149.86 and \( 154.96 \Omega^{-1} c m^{2} m o l^{-1} \) respectively. Also \( \lambda_{C l^{-}}^{\infty} \) is 71.44 ohm \( ^{-1} \mathrm{cm}^{2} \) mol \( ^{-1} \). The value of \( \lambda_{N O_{3}^{-}}^{\infty} \) is : A \( \cdot 76.54 \) ohm \( ^{-1} \mathrm{cm}^{2} \) mol \( ^{-1} \) в. 133.08 ohm \( ^{-1} \mathrm{cm}^{2} \mathrm{mol}^{-1} \) c. 37.7 ohm \( ^{-1} \mathrm{cm}^{2} \) mol \( ^{-1} \) D. none of the above
1
Chemistry
\( -40^{\circ} \) on absolute scale is equal to \( A \cdot \) ok в. \( 233 k \) \( c \cdot 273 k \) D. 313K
3
Physics
Which of the following is the only nonmetal that appears as a liquid in its elemental form under standard conditions? A . \( C l \) в. \( F \) \( c . B r \) \( D \)
1
Chemistry
\( A(-a, 0) ; B(a, 0) \) are fixed points. \( C \) is a point which divides internally \( A B \) in a constantly ration \( \tan \alpha . \) If \( A C \& C B \) subtend equal angles at \( P, \) that the equation of the locus of \( \boldsymbol{P} \) is \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}+ \) \( 2 a x \sec 2 \alpha+a^{2}=0 \)
2
Maths
Draw structures of the following derivatives. (i) The 2,4 -dinitrophenylhydrazone of benzaldehyde (ii) Cyclopropanone oxime (iii) Acetaldehydedimethylacetal (iv) The semicarbazone of cyclobutanone (v) The ethylene ketal of hexan-3-one (vi) The methyl hemiacetal of formaldehyde
1
Chemistry
\( \mathbf{3} \times \mathbf{8}+\mathbf{6} \times \mathbf{1 1}+\mathbf{9} \times \mathbf{1 4}+\dots \)
2
Maths
Why are gaseous fuels better than the solid and liquid ones?
1
Chemistry
Two identical particles each of mass \( M \) and charge \( Q \) are placed a certain distance part. If they are in equilibrium under mutual gravitational and electric force then calculate the order of \( \frac{Q}{M} \) in SI units.
3
Physics
Ferromagnetic ore properties are due to A. filled inner sub-shells B. vacant inner sub-shells C . partially filled inner sub-shells D. all the sub-shells equally filled
3
Physics
Examine if Mean value Theorem applies to \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{3}+\mathbf{3} \boldsymbol{x}^{2}-\mathbf{5} \boldsymbol{x} \) in the interval [1,2]. If it does, then find the intermediate point whose existence is asserted by theorem. A. Mean Value theorem is applicable and intermediate points are \( c=-3.55,1.55 \) B. Mean Value theorem is not applicable c. Mean Value theorem is applicable and intermediate points are \( c=3.55,-1.55 \) D. none of these
2
Maths
If \( 2(a-8 \times 5)-2 \times 7=3 \times 1 \times a+ \) \( \mathbf{7} \times \mathbf{4}-(\mathbf{8} \times \mathbf{1} \times \mathbf{a}-\mathbf{1}), \) find \( \boldsymbol{a} \) A \( \cdot \frac{123}{8} \) B. \( \frac{123}{7} \) c. \( \frac{8}{123} \) D. \( \frac{7}{123} \)
2
Maths
The velocity of water in river is 180kmh \( ^{-1} \) near the surface. If the river is \( 5 \mathrm{m} \) deep, then the Shearing stress between the surface layer and the bottom layer is then(coefficient of viscosity of water, \( \boldsymbol{\eta}=\mathbf{1 0}^{-\mathbf{3}} \boldsymbol{P a} \boldsymbol{s} \) \( \mathbf{A} \cdot 10^{-2} N m^{-2} \) B. \( 10^{-3} N m^{-2} \) c. \( 10^{-4} N m^{-2} \) D. \( 10^{-5} N m^{-2} \)
3
Physics
Calculate the standard oxidation potentials of zinc electrode form the following data. The EMF of the cell : \( \boldsymbol{L} \boldsymbol{i}|\boldsymbol{L} \boldsymbol{i} \oplus(\mathbf{0 . 0 5} \boldsymbol{M}) \| \boldsymbol{A} \boldsymbol{n}| \boldsymbol{Z} \boldsymbol{n}^{2+}(\boldsymbol{0} . \boldsymbol{5} \boldsymbol{M}), \boldsymbol{E} \) \( -3.045 V, \) is \( 2.35 \mathrm{V} \) at \( 25^{\circ} \mathrm{C} \)
1
Chemistry
The botanical term used for the androecium in a flower of China rose (Hibiscus rosa sinensis) is A. Polyadelphous B. Monadelphous c. Diadelphous D. Polyandrous
0
Biology
Acid buffer can be prepared by mixing solutions of: A \( . \quad N a C l+N a O H \) в. \( H_{2} S O_{4}+N a_{2} S O_{4} \) c. \( N H_{4} O H+N H_{4} C l \) D. \( C H_{3} C O O N a+C H_{3} C O O H \)
1
Chemistry
The distance between the parallel lines \( 3 \cos \theta+4 \sin \theta+\frac{5}{r}=0 \) and \( 6 \cos \theta+ \) \( 8 \sin \theta+\frac{7}{r}=0 \) is \( A \cdot \frac{3}{5} \) в. \( \frac{3}{10} \) \( c \cdot \frac{3}{20} \) D.
2
Maths
A vessel of \( 125 \mathrm{cc} \) contains \( _{1}^{3} \mathrm{H}\left(t_{1 / 2}=\right. \) 12.3 \( y \) ) at \( 500 \mathrm{kPa} \) and \( 300 \mathrm{K} \). Find the activity of the gas A. \( 0.754 \mathrm{Ci} \) в. 7.24 Сг c. \( 72.4 \mathrm{Ci} \) D. 724 С\( i \)
3
Physics
What is \( p K \) value of the complex \( \left[\boldsymbol{P t C l}_{4}\right] \) if \( \boldsymbol{P t}^{4+}+\boldsymbol{C l}^{-} \rightarrow[\boldsymbol{P t C l}]^{3+} \) \( \boldsymbol{K}_{\mathbf{1}}=\mathbf{1 0}^{-\mathbf{2}} \) \( [\boldsymbol{P t C l}]^{3+}+\boldsymbol{C l}^{-} \rightarrow\left[\boldsymbol{P t} C l_{2}\right]^{2+} \) \( \boldsymbol{K}_{2}=\mathbf{1 0}^{-3} \) \( \left[\boldsymbol{P t C l}_{2}\right]^{2+}+\boldsymbol{C l}^{-} \rightarrow\left[\boldsymbol{P t C l}_{3}\right]^{+} \) \( \boldsymbol{K}_{3}=\mathbf{1 0}^{-4} \) \( \left[\boldsymbol{P t C l}_{3}\right]^{+}+\boldsymbol{C l}^{-} \rightarrow\left[\boldsymbol{P t} \boldsymbol{C l}_{4}\right] \) \( \boldsymbol{K}_{4}=\mathbf{1 0}^{-4} \)
1
Chemistry
A considerable part of the harmful \( \boldsymbol{U} \boldsymbol{V} \) rays of the sum does not reach the surface of the earth. This is because high above the earth's atmosphere, there is a layer of \( A \cdot O_{3} \) в. \( C O_{2} \) \( c \cdot S O_{2} \) D. \( N O \)
1
Chemistry
An electric bulb of \( 250 c c \) was sealed off at a pressure \( 10^{-3} \mathrm{mm} \) of \( \mathrm{Hg} \) and temperature \( \$ \$ 27^{\wedge}\{0\} \$ \$ \) C. The number of molecules present in the gas is A \( \cdot 8.02 \times 10^{15} \) В. \( 6.023 \times 10^{23} \) c. \( 8.021 \times 10^{23} \) D. \( 6 \times 10^{22} \)
3
Physics
Which of the following biologists is responsible for the binomial system for naming organisms that we use today? A. Carolus Linnaeus B. Whittaker c. Theophrastus D. Aristotle
0
Biology
In induction the charge induced in the near surface of a dielectric is: A. equal and similar B. greater and dissimilar c. lesser and dissimilar D. equal and dissimilar
3
Physics
The quantities \( A \) and \( B \) are related by the relation \( \boldsymbol{A} / \boldsymbol{B}=\boldsymbol{m}, \) where \( \boldsymbol{m} \) is the linear mass density and \( A \) is the force, the dimensions of \( B \) will be : A. Same as that of pressure B. Same as that of work c. Same as that of momentum D. Same as that of latent heat
3
Physics
Turpentine oil can be purified by: A. steam distillation B. vaccum distillation C. fractional distillation D. sublimation
1
Chemistry
A leakage begins in water tank at position \( P \) as shown in the figure. The initial gauge pressure pressure above that of the atmosphere) at \( P \) was \( 5 x \) \( 10^{5} N / m^{2} \). If the density of water is 1000kg/ \( m^{3} \) the initial velocity with which water gushes out is: A \( .3 .2 m s^{-1} \) B. \( 32 m s^{-1} \) \( \mathbf{c} \cdot 28 m s^{-1} \) D. \( 2.8 m s^{-1} \)
3
Physics
Then equilibrium constant for the reaction is: For the following reactions, equilibrium constants are indicated on the arrow \[ \begin{array}{l} \mathrm{H}_{3} \mathrm{PO}_{4} \stackrel{K_{1}}{\Leftrightarrow} \mathrm{H}^{+}+\mathrm{H}_{2} \mathrm{PO}_{4} \\ \mathrm{H}_{2} \mathrm{PO}_{4}^{*} \Leftrightarrow \mathrm{H}^{*}+\mathrm{HPO}_{4}^{-2} \\ \mathrm{HPO}_{4}^{-2} \stackrel{K_{3}}{\Leftrightarrow} \mathrm{H}^{+}+\mathrm{PO}_{4}^{-3} \end{array} \] Then equilibrium constant for the reaction \[ \mathrm{H}_{3} \mathrm{PO}_{4} \Leftrightarrow \quad 3 \mathrm{H}^{+}+\mathrm{PO}_{4}^{3} \text { will be } \] \( \mathbf{A} \cdot K_{1}+K_{2}+K_{3} \) B . \( \sqrt{K_{1} K_{2} K_{3}} \) \( \mathbf{c} \cdot K_{1} \times K_{2} \times K_{3} \) D. \( \frac{1}{K_{1} K_{2} K_{3}} \)
1
Chemistry
Which one of the following is the main cause of land degradation in Punjab? A. Intensive cultivation B. Deforestation c. over irrigation D. Overgrazing
1
Chemistry
A charge \( q \) is moving with a velocity \( (v) \) parallel to a magnetic field \( (B) \). Force on the charge due to magnetic field is: A \( . q v B \) в. \( q B / v \) c. zero D. \( B v / q \)
3
Physics
Milk of magnesia \( M g(O H)_{2} \) is a/an: A . acid B. antacid c. alkal D. rock salt
1
Chemistry
What is ratio of time periods \( \left(T_{1} / T_{2}\right) \) in second orbit of hydrogen atom to third orbit of \( \boldsymbol{H} \boldsymbol{e}^{+} \) ion? \( A \cdot \frac{8}{27} \) в. \( \frac{32}{27} \) c. \( \frac{27}{32} \) D. \( \frac{27}{8} \)
1
Chemistry
The input AC voltage to the transformer is \( 3 \mathrm{kV} \) and output is \( 100 \mathrm{V} \). Then: A. The ratio of number of turns in the primary to secondary coil is 30: 1 B. The transformer is a step down transformer c. The transformer is a step up transformert D. Both 1 and 2
3
Physics
f \( x y=6, \) then minimum value of \( 2 x+ \) \( 3 y \) is
2
Maths
Light with energy flux of \( 24 W m^{-2} \) is incident on a well polished disc of radius \( 3.5 \mathrm{cm} \) for one hour. The momentum transferred to the disc is A \( \cdot 1.1 \mu \mathrm{kgms}^{-1} \) B. 2.2 \( \mu \mathrm{kgms}^{-1} \) c. \( 3.3 \mu \mathrm{kgms}^{-1} \) D. \( 4.4 \mu \mathrm{kgms}^{-1} \)
3
Physics
In electrtolysis of \( A l_{2} O_{3} \) by Hall- Heroult process: A. cryolite \( N a_{3}\left[A I F_{6}\right] \) lowers the melting point of \( A l_{2} O_{3} \) and increases its electrical conductivity B. \( A l \) is obtained at cathode and probably \( C O_{2} \) at anode c. both (a) and (b) are correct D. none of the above is correct
1
Chemistry
A metal ball falls from a height of \( 1 \mathrm{m} \) on to a steel plate and jumps upto a height of \( 81 \mathrm{cm} . \) Find the coefficient of restitution of the ball material. A. 0.2 B. 9 \( c \cdot 0.9 \) D. 90
3
Physics
Which of the following is not a polymer? A . Ice B. Starch c. Protein D. Cellulose
1
Chemistry
By the principle of Mathematical induction, prove that, for \( n \geq 1 \) \[ \mathbf{1}^{2}+\mathbf{2}^{2}+\mathbf{3}^{2}+\cdots+\boldsymbol{n}^{2}>\frac{\boldsymbol{n}^{\mathbf{3}}}{\mathbf{3}} \]
2
Maths
If \( a=-6 \) and \( b=7, \) then \( 4 a(3 b+5)+ \) \( \mathbf{2 b}=\mathbf{?} \) A . 638 в. 624 \( c .610 \) D. -610 E . -638
2
Maths
What is interstitial fluid? A. Fluid which removes waste B. Fluid which dissolves nutrients C. Fluid which occupies spaces between the cells D. All of the above
0
Biology
Differentiate between veins and arteries?
0
Biology
Male and female Cockroaches can be distinguished externally through A. Anal styles in male B. Anal cerci in female c. Anal style and antennae in females D. Both B and C
0
Biology
Riya performs two set of experiments to study the length of the foam formed which follows Set \( I: \) She takes 10 ml of distilled water in test tube " \( A^{\prime \prime} \) and adds \( 5-6 \) drops of liquid soap in it and shakes the test tube vigorously. Set \( I I: \) She takes 10 ml of distilled water in a test tube \( ^{\prime \prime} A^{\prime \prime} \) and adds \( 5-6 \) drops of liquid soap with half spoonful of \( C a S O 4 \) in it and shakes the tube. Write your observation and reason
1
Chemistry
The binding energy of electrons in a metal is \( 193 \mathrm{kJ} \mathrm{mol}^{-1} \). The threshold frequency of the metal is: A. \( 8.83 \times 10^{14} \mathrm{s}^{-1} \) B. 4.83 \( \times 10^{14} \mathrm{s}^{-1} \) c. \( 5.83 \times 10^{14} \mathrm{s}^{-1} \) D. 6.83 \( \times 10^{14} \mathrm{s}^{-1} \)
1
Chemistry
By selling a watch for \( R s .1275 \), Javed lost \( 15 \% \). At what price should he sell to make a profit of \( 10 \% ? \)
2
Maths
Write a value of \( \int \sqrt{9+x^{2}} d x \)
2
Maths
Who discovered X-rays? A. Michael Faraday B. Albert Einstein C. W.K. Roentgen D. J.J. Thomson
3
Physics
Consider the plane \( (\boldsymbol{x}, \boldsymbol{y}, \boldsymbol{z})= \) \( (0,1,1)+\lambda(1,-1,1)+\mu(2,-1,0) . \) The distance of this plane from the origin is: A \( \cdot \frac{1}{3} \) B. \( \frac{\sqrt{3}}{2} \) \( c \cdot \sqrt{\frac{3}{2}} \) D. \( \frac{2}{\sqrt{3}} \)
2
Maths
In photosynthesis in plants, \( \boldsymbol{H}_{2} \boldsymbol{O} \) and \( C O_{2} \) react in presence of light and chlorophyll to give carbohydrate and oxygen.When the carbohydrate is burnt in air, the gases produced are: A. \( C O_{2}+H_{2} \) в. \( C O_{2}+C O \) c. \( C O_{2}+H_{2} O \) D. \( C O_{2}+O_{2} \)
1
Chemistry
A nucleus \( X \) initially at rest, undergoes alpha decay according to the equation \[ \mathbf{9 2}^{\boldsymbol{X}^{A}} \rightarrow \boldsymbol{Z}^{Y^{228}}+\boldsymbol{\alpha} \] Then, the values of \( A \) and \( Z \) are A .94,230 в. 232,90 c. 190,32 D. 230,94
3
Physics
In a cathode ray oscillograph, the focusing of beam on the screen is achieved by A. Convex lens B. Magnetic field c. Electric potential D. All of these
3
Physics
Argon and calcium are isobar. Why? A. Both have same atomic number equal to 40 B. Both have different atomic mass C. Both have same atomic mass equal to 40 D. None of above
1
Chemistry
An iron block of mass \( 2 k g \), falls from a height of \( 10 m . \) After colliding with the ground it loses \( 25 \% \) energy to surroundings and rest is gained as heat. Then find the temperature rise of the block. (Take sp. heat of iron \( \left.470 J / k g^{\circ} C\right) \) A. \( 0.53^{\circ} \) C C \( C \) ? B. \( 0.053^{\circ} \mathrm{C} \) c. \( 0.159^{\circ} \mathrm{C} \) D. \( 0.212^{\circ} \mathrm{C} \)
3
Physics
The sum of the measures of interior angles of a polygon of \( n \) sides is equal to A. \( 2 n \) right angles B. \( (2 n-2) \) right angles c. \( 2(n-2) \) right angles D. \( 2(n-4) \) right angles
2
Maths
Figure shows a full wave bridge rectifier circuit. The input a.c. is connected across \( A \cdot A \) and \( B \) B. A and C C. \( B \) and \( D \) D. \( B \) and \( C \)
3
Physics
The correct order of increasing \( s \) character (in percentage) in the hybrid orbitals of the given molecules/ions is (assume all hybrid orbitals are exactly equivalent): \( \boldsymbol{C H}_{2} \quad \boldsymbol{X} \boldsymbol{e F}_{4} \quad \boldsymbol{B r} \boldsymbol{F}_{3} \quad \boldsymbol{N C l}_{3} \quad: \boldsymbol{C C l}_{2} \) \( \mathbf{A} \cdot\|<\| \mathbf{I}<\mid V<1=\mathbf{V} \) B. \( |>V>|||>|V>| \mid \) \( c \cdot\|1<\|<1<V<1 V \) D. \( \|<I V<\| 1<1<V \)
1
Chemistry
What are micronutrients? Write two examples of it?
0
Biology