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A certain weight is attached to a spring It is pulled down and then released. It oscillates up and down. Its K.E. will be. A. maximum at the middle of the movement B. maximum at the bottom c. maximum just before it is released D. constant
3
Physics
Describe the experiment performed by Griffith. What conclusions did he infer from his observations?
0
Biology
An ideal transformer is used on 220 V line to deliver 2 A at 110 V. The current through the primary is : \( A \cdot 10 A \) B. 5 A \( c \cdot 1 A \) D. 0.1 A
3
Physics
A student pulls a wooden box along a rough horizontal floor (without the block loosing contact with the floor) at constant speed by means of a force \( P \) as shown, to the right. \( (W \) is weight of block, \( N \) is normal reaction on the block, \( f \) is force of friction on the block). Which of the following must be true? A \( . P>f \) and \( N<W \) B. \( P>f \) and \( N=W \) c. \( P=f \) and \( N>W \) \( D<f \) and \( N=W \)
3
Physics
Which of the following is correct regarding buffer solution? A. It contains weak acid and its conjugate base. B. It shows low change in pH on adding small amount of acid or base. c. (A) and (B) both D. None of these
1
Chemistry
When \( y=3 \) which of the following is FALSE? A. \( y \) is prime and \( y \) is odd B. \( y \) is odd or \( y \) is even c. \( y \) is not prime and \( y \) is odd D. \( y \) is odd and \( 2 y \) is even
2
Maths
What is \( F \) ? \[ \mathrm{F} \frac{\mathrm{H}^{\oplus} / \mathrm{KMnO}_{4}}{\Delta} \geq \text { acetone }+\text { ethanoic acid } \]
1
Chemistry
Let \( f(x)=x^{3}+6 x^{2}+6 x \) and let \( c \) be the number that satisfies the Mean value theorem for \( f \) on the interval \( [-6,0] . \) What is \( c ? \) A. -5 B. -4 c. -3 D. -
2
Maths
Assertion (A):The derivative of \( (\log x)^{x} \) w.r.t \( \boldsymbol{x} \) is \( (\log \boldsymbol{x})^{x-1}[\mathbf{1}+\log \boldsymbol{x} \log (\log \boldsymbol{x})] \) Reason \( (\mathrm{R}): \frac{\boldsymbol{d}}{\boldsymbol{d} \boldsymbol{x}}\left\{\boldsymbol{f}(\boldsymbol{x})^{g(\boldsymbol{x})}\right\}=\boldsymbol{f}(\boldsymbol{x})^{g(\boldsymbol{x})} \) \( \left(g(x) \frac{f^{\prime}(x)}{f(x)}+g^{\prime}(x) \log (f(x))\right) \) A. Both A and R are true R is correct reason of A B. Both A and R are true R is not correct reason of c. A is true but R is false D. A is false but R is true
2
Maths
If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \) then the value of the determinant \( \left|\begin{array}{lll}\boldsymbol{\alpha} & \boldsymbol{\beta} & \gamma \\ \boldsymbol{\beta} & \gamma & \boldsymbol{\alpha} \\ \boldsymbol{\gamma} & \boldsymbol{\alpha} & \boldsymbol{\beta}\end{array}\right| \) is 2 \( \mathbf{A} \cdot \underline{p} \) B. \( q \) c. \( p^{2}-2 q \) \( D \)
2
Maths
The expression of electric power \( (\boldsymbol{P})= \) A \( \cdot I R^{2} \) в. \( V I \) c. \( I R \) D. \( V R^{2} \)
3
Physics
In the set of all positive integers show that the relation '>' is not an equivalence relation.
2
Maths
Polyethene is a resin obtained by polymerisation of A. butadiene B. ethylene c. isoprene D. propylene
1
Chemistry
When \( H_{2} S \) is passed into aqueous \( S O_{2} \) \( \mathbf{A} \cdot H_{2} S \) is converted to yellow precipitate of sulphur. B. \( S O_{2} \) is converted to yellow precipitate of sulphur. C . a clear solution of \( H_{2} S O_{4} \) is formed. D. \( S O_{2} \) as well as \( H_{2} S \) are converted into a yellow precipitate of sulphur
1
Chemistry
\( \int_{0}^{\pi} \frac{d x}{1+2 \sin ^{2} x} \)
2
Maths
The noble gas mixture is cooled in a coconut bulb at \( 173 K . \) The gases that are not adsorbed are: A. Helium and Neon B. Helium and Xenon c. xenon and Neon D. none of these
1
Chemistry
Hydrogen molecules are: A. monoatomic and form \( X_{2}^{2-} \) type ions B. diatomic and form \( X_{2}^{-} \) type ions C . diatomic and form \( X^{-} \) as well as \( X^{+} \) type ions D. monoatomic and form \( X^{-} \) type ions
1
Chemistry
The trend in non metallic character across a period: A. decreases B. increases c. constant D. none of these
1
Chemistry
Charge on an electron is : \( \mathbf{A} \cdot+e \) в. \( -e \) \( c . \pm e \) D. All
3
Physics
Fifteen coupons are numbered \( 1,2, \ldots . .15 \) respectively. Three coupons are selected at random without replacement. The probability that the maximum number on the selected coupon is \( 9, \) is A \( \cdot 4 / 65 \) в. \( 3 / 65 \) \( \mathrm{c} \cdot 1 / 13 \) D. None of these
2
Maths
Write differences between primary metabolism and secondary metabolism.
0
Biology
The movement of free atoms from higher concentration to lower concentration is called: A. Osmosis B. Diffusion c. Endosmosis D. Exosmosis
0
Biology
Prove that the sum of two successive odd numbers is divisible by 4
2
Maths
\( \infty \) 80 \( \frac{80}{00} \) 900
1
Chemistry
The energy required for the electron to jump from \( n=2 \) to \( n=3 \) will be: \( \mathbf{A} \cdot 5 x k J \) в. \( \frac{36 x}{5} k J \) c. \( \frac{5 x}{36} k J \) D. \( \frac{9 x}{4} k J \)
1
Chemistry
If coil is placed perpendicular to field lines then number of lines passing through coil are : \( A \). minimum B. maximum c. zero D. may be max. or min
3
Physics
State the role of citizens in pollution control. Give three efforts taken in order to reduce pollution.
0
Biology
Jacob and Monad named those enzymes allosteric whose activity is regulated by A. Substrate B. End product c. coenzymes D. Prosthetic groups
0
Biology
The number of molecules present in 4.4 gof \( C O_{2} \) gas is: A \( \cdot 6.023 \times 10^{23} \) В. \( 5.023 \times 10^{23} \) c. \( 6.023 \times 10^{24} \) D. \( 6.023 \times 10^{2} \)
1
Chemistry
Consider an expanding sphere of instantaneous radius \( R \) whose total mass remains constant. The expansion is such that the instantaneous density \( \rho \) remains uniform throughout the volume. The rate of fractional change in density \( \left(\frac{1}{\rho} \frac{d p}{d t}\right) \) is constant. The velocity \( v \) of any point on the surface of the expanding sphere is proportional to A \( \cdot R^{2 / 3} \) в. \( R \) c. \( R^{3} \) D. \( \frac{1}{R} \)
3
Physics
\( \frac{3^{x} \times 3}{3^{2 x-2}}=9^{-2}, \) find \( x \)
2
Maths
The reserve food of brown algae is A. Fucoxanthin B. Volutin c. Laminarin D. Paramylum
0
Biology
Free energy change for the process \( \boldsymbol{A}(\boldsymbol{s}) \rightleftharpoons \boldsymbol{B}(l) \) will be: A . B. 1 \( c \cdot 2 \) D.
1
Chemistry
State whether the given statement is true or false: Combination is the reverse of decomposition reaction A. True B. False
1
Chemistry
When the leaves occur on................, trees are called as columnar. A. All branches B. Only at the top of the trunk c. only on the lower branches D. only on the middle portion of the trunk
0
Biology
The pressure coefficient of a gas is \( \operatorname{(in} /^{0} C \) ): A. 0.00367 в. - -27 \( c . \) 98 D. 3.14
3
Physics
Lanthanoids are also called as A. Transition elements B. Rare earth elements c. Both A and B D. None of these
1
Chemistry
From the given reactions which is a redox reaction? This question has multiple correct options \( \mathbf{A} \cdot C u O(s)+H_{2}(g) \rightarrow C u(s)+H_{2} O(l) \) B \( \cdot 2 C u(s)+O_{2}(g) \rightarrow 2 C u O(s) \) \( \mathbf{c} \cdot C(s)+2 H_{2}(g) \rightarrow C H_{4}(g) \) D. \( 4 A l(s)+3 O_{2}(g) \rightarrow 2 A l_{2} O_{3}(s) \)
1
Chemistry
Albert is riding his scooter at a velocity of \( 80 k m / h \) when he sees an old woman crossing the road \( 45 m \) away he immediately steps hard on the break to get the maximum deceleration of \( 7.5 m / s^{2} . \) How far will he go before stopping, will he hit the old woman? (in \( m) \) A. \( 36.4, \) Yes B. \( 35, \) No c. \( 54.2, \) Yes D. \( 32.9, \) No
3
Physics
The area of a square is \( 5.29 \mathrm{cm}^{2} \). The area of 7 such squares taking into account the significant figures is? \( \mathbf{A} \cdot 37 \mathrm{cm}^{2} \) в. \( 37.0 \mathrm{cm}^{2} \) \( \mathbf{c} \cdot 37.03 \mathrm{cm}^{2} \) D. \( 37.030 \mathrm{cm}^{2} \)
3
Physics
\( K_{a} \) for \( C H_{3} C O O H \) is \( 1.8 \times 10^{-5} \) and \( K_{b} \) for \( N H_{4} O H \) is \( 1.8 \times 10^{-5} . \) The pH of ammonium acetate will be: \( \mathbf{A} \cdot 7.005 \) в. 4.75 \( c .7 .0 \) D. between 6 and 7
1
Chemistry
In a common emitter (CE) amplifier having a voltage gain \( G, \) the transistor used has transconductance 0.03 mho and current gain \( 25 . \) If the above transistor is replaced with another one with transconductance 0.02 mho and current gain \( 20, \) the voltage gain will be A \( \cdot \frac{2}{3} G \) в. \( 1.5 G \) c. \( \frac{1}{3} G \) D. \( \frac{5}{4} G \)
3
Physics
The area bounded by two branches of the curve \( (\boldsymbol{y}-\boldsymbol{x})^{2}=\boldsymbol{x}^{3} \& \boldsymbol{x}=\mathbf{1} \) equals A . \( 3 / 5 \) B. \( 5 / 4 \) \( c \cdot 6 / 5 \) D. \( 4 / 5 \)
2
Maths
The reaction \( \mathbf{2} \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g})+\boldsymbol{O}_{2} \stackrel{N O(\boldsymbol{g})}{\boldsymbol{\lambda}} \boldsymbol{2} \boldsymbol{S} \boldsymbol{O}_{3}(\boldsymbol{g}) \) A. Heterogeneous catalysiss B. Homogegenous catalysiss c. Enzyme catalysis D. None of them
1
Chemistry
Which one of the following is a vascular cryptogam? A. Equisetum B. Ginkgo c. Marchantia D. Cedrus
0
Biology
What happens in a negative beta decay \( ? \) A. an atomic electron is ejected B. an electron which is already present within the nucleus is ejected c. a neutron in the nucleus decays emitting an electron D. a proton in the nucleus decays emitting an electron
3
Physics
f \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 4}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 8}, \boldsymbol{P}(\boldsymbol{B} / \boldsymbol{A})= \) 0.6. Find \( P(A / B) \)
2
Maths
Hydrogen readily combines with these elements? This question has multiple correct options A. Na a B. \( c \cdot c a \) D. zn
1
Chemistry
An LCR series circuit is connected to ac source. At resonance, the applied voltage and the current flowing through the circuit will have a phase difference of: \( \mathbf{A} \cdot \pi / 4 \) B. zero \( c \) D. \( \pi / 2 \)
3
Physics
Which of the following statements is not true? A. A heart murmur usually indicates a fatal heart defect B. Angina pectoris may occur when doing strenuous activity after eating a heavy meal C. An incompetent valve can permit a backflow of blood D. A coronary artery spasm can cause an obstruction of blood flow
0
Biology
A box has tokens numbered 3 to 100 . If a token is taken out at random the chance that the number is divisible by 7 is A \( \cdot 1 / 4 \) B. 1/5 \( c \cdot 1 / 6 \) D. 1/
2
Maths
A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. \[ \begin{array}{llllll} \text { Family } & 1- & 3- & 5- & 7- & 9- \\ \text { size } & 3 & 5 & 7 & 9 & 11 \end{array} \] Numbe of 7 familie The mode of this data 3.286 A. True B. False
2
Maths
Newton's formula for the velocity of sound in gas is \( ^{\mathrm{A}} \cdot_{v}=\sqrt{\frac{P}{\rho}} \) в. \( _{v}=\frac{2}{3} \sqrt{\frac{P}{\rho}} \) c. \( v=\sqrt{\frac{\rho}{P}} \) D. \( v=\sqrt{\frac{2 P}{\rho}} \)
3
Physics
Which of the following is one of the most common application of chemical effects of electric current? A. Electrophoresis B. Electroplating c. Galvanization D. Mineralization
1
Chemistry
Solve the equations \( \frac{5}{x-1}+\frac{1}{y-2}=2 \) and \( \frac{6}{x-1}- \) \( \frac{3}{y-2}=1 \)
2
Maths
If \( A \) and \( B \) are mutually exclusive such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 3 5} \) and \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 4 5} \) find \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B}) \)
2
Maths
In formulating the theory of evolution by natural selection, Charles Darwin was greatly influenced by A. environmental factors B. mutations c. Maithus idea on population control D. all of these
0
Biology
Inertia of a body depends on: A. Mass of the body B. Velocity of the body c. Acceleration of the body D. Energy of the body
3
Physics
The mass equivalent of 931.5 Mev energy is A \( \cdot 1.66 \times 10^{-27} k g \) B. \( 6.02 \times 10^{-24} k g \) C \( .1 .66 \times 10^{-20} \mathrm{kg} \) D. \( 6.02 \times 10^{-27} k g \)
3
Physics
Largest difference in radii is found in which of the following pair? A. \( L i, N a \) в. \( N a, K \) c. \( K, R b \) D. \( R b, C s \)
1
Chemistry
(a) Describe briefly, with the help of a diagram, the role of the two important processes involved in the formation of a \( p-n \) junction (b) Name the device which is used as a voltage regulator. Draw the necessary circuit diagram and explain its working.
3
Physics
If \( \quad z_{r}=\cos \frac{r \alpha}{n^{2}}+i \sin \frac{r \alpha}{n^{2}}, \) where \( r= \) \( 1,2,3, \dots, n, \) then \( \lim _{n \rightarrow \infty}\left(z_{1}, z_{2} \dots \dots, z_{n}\right) \) is equal to A \( \cdot \cos \alpha+i \sin \alpha \) B・sin \( \frac{\alpha}{2}+i \cos \frac{\alpha}{2} \) \( \mathbf{c} \cdot e^{i \alpha / 2} \) D. \( \sqrt{e^{i}} \)
2
Maths
Photoperiodism phenomena was first discovered by A. Garnet and Allardardand B. Haberlandt c. wickson and Thimann D. Osborne
0
Biology
Short/long answer type questions. Most fungi resemble protists or even plants. What is the justification for placing fungi in a separate kingdom?
0
Biology
Assertion: Emitted radiations lie in visible region when electrons jump from higher level to \( n=2 \) in hydrogen. Reason: Balmer series radiations belong to visible range in H-atoms. A. Both Reason and Assertion are true and reason is the correct explanation of assertion B. Both Reason and Assertion are true but reason is not correct explanation of assertion c. Assertion is true but reason is false D. Assertion and reason both are false E. Assertion is false but reason is true
1
Chemistry
If two tangents are drawn at the end points of two radii that are inclined at an angle of \( 110^{\circ} . \) Find the angle between the tangents. \( \mathbf{A} \cdot 110^{\circ} \) B. 55 \( c \cdot 70^{\circ} \) D. \( 20^{\circ} \)
2
Maths
The area of parallegram represented by the vectors. \( \overrightarrow{\boldsymbol{A}}=\boldsymbol{2} \hat{\boldsymbol{i}}+\boldsymbol{3} \hat{\boldsymbol{j}} \) and \( \overrightarrow{\boldsymbol{B}}=\hat{\boldsymbol{i}}+ \) \( 4 \hat{j} \) is :- A. 14 units B. 7.5 units c. 10 units D. 5 units
2
Maths
A stretched rope having linear mass density \( 5 \times 10^{-2} k g m^{-1} \) is under a tension of \( 80 N . \) The power that has to be supplied to the rope to generate harmonic waves at a frequency of \( 60 H z \) and an amplitude of \( 6 \mathrm{cm} \) is \( \mathbf{A} \cdot 215 W \) B. \( 251 W \) \( \mathbf{c} .512 W \) D. \( 521 W \)
3
Physics
A charged particle of specific charge (charge/mass) \( \alpha \) is released from origin at time \( t=0 \) with velocity \( \vec{v}= \) \( v_{0}(\hat{i}+\hat{j}) \) in a uniform magnetic field \( \vec{B}=B_{0} \hat{i} . \) Coordinates of the particle at time \( t=\frac{\pi}{B_{0} \alpha} \) are A \( \cdot\left(\frac{v_{0}}{2 B_{0} \alpha}, \frac{\sqrt{2} v_{0}}{\alpha B_{0}}, \frac{-v_{0}}{B_{0} \alpha}\right) \) В \( \cdot\left(\frac{-v_{0}}{2 B_{0} \alpha}, 0,0\right) \) \( ^{\mathbf{C}} \cdot\left(0, \frac{2 v_{0}}{B_{0} \alpha}, \frac{v_{0} \pi}{2 B_{0} \alpha}\right) \) D \( \cdot\left(\frac{v_{0} \pi}{B_{0} \alpha}, 0, \frac{-2 v_{0}}{B_{0} \alpha}\right) \)
3
Physics
Which teeth of human are shovel- shaped and used for nibbling, cutting and tearing? A. Canines B. Premolars c. Molars D. Incisors
0
Biology
Hydrolith, a source of hydrogen is : A. \( N a H \) в. \( C a H_{2} \) c. \( L i H \) D. \( B a H_{2} \)
1
Chemistry
The capacity of a parallel plate condenser consisting of two plates each of \( 10 \mathrm{cm}^{2} \) separated by a distance of \( 2 \mathrm{mm} \) is: (Take air as the medium between the plates A \( \cdot 8.85 \times 10^{-13} F \) В. \( 4.42 \times 10^{-12} \mathrm{F} \) c. \( 44.25 \times 10^{-12} F \) D. \( 88.5 \times 10^{-13} F \)
3
Physics
Why is foundry coke used in boilers and furnaces? A. Excellent insulator B. Excellent source of light c. Excellent source of heat D. None of above
1
Chemistry
Represented \( \frac{-3}{4} \& \frac{1}{8} \) on the number line
2
Maths
The equilibrium constants \( \boldsymbol{K}_{\boldsymbol{p}_{1}} \) and \( \boldsymbol{K}_{\boldsymbol{p}_{2}} \) for the reactions, \( \boldsymbol{X} \rightleftharpoons 2 \boldsymbol{Y} \) and \( \boldsymbol{Z} \rightleftharpoons \) \( P+Q, \) respectively are in the ratio of 1 : 9. If the degree of dissociation of \( \boldsymbol{X} \) and \( Z \) be equal then the ratio of total pressures at the equilibrium is: A . 1: 9 B. 1: 36 c. 1: 1 D. 1: 3
1
Chemistry
A current of \( 4.0 A \) is passed for 5 hours through \( 1 L \) of \( 2 M \) solution of nickel nitrate using two nickel electrodes. The molarity of the solution at the end of the electrolysis will be: \( \mathbf{A} \cdot 1.6 M \) в. \( 1.2 M \) c. \( 2.5 M \) D. \( 2.0 M \)
1
Chemistry
Starting with sodium chloride how would you proceed to prepare (i) sodium metal, (ii) sodium hydroxide, (iii) sodium peroxide, (iv) sodium carbonate?
1
Chemistry
A copper rod of length 'I' rotates at an angular velocity ' \( \omega^{\prime} \) in a uniform magnetic field B as shown in figure. What is the induced emf across its ends?
3
Physics
Origin of gymnosperms occured in era. A. Coenozoic B. Paeleozoic c. Mesozoic D. Precambrian
0
Biology
The dimensional formula for impulse is: A \( . M L T^{-2} \) в. \( M L T^{-1} \) \( \mathbf{c} \cdot M L^{2} T^{-1} \) D. \( M^{2} L T^{-1} \)
3
Physics
A wire is subjected to a tensile stress. If A represents area of cross-section, represents original length, I represents extension and Y is Young's modulus of elasticity, then elastic potential energy of the stretched wire is \( \mathbf{A} \cdot U=\frac{2 L}{A Y} I^{2} \) B \( \cdot U=\frac{A L}{2 Y} I^{2} \) \( \mathbf{c} \cdot U=\frac{A Y}{2 L} I^{2} \) D. \( U=\frac{1}{4} \frac{A Y}{L} I^{2} \)
3
Physics
Evaluate the given integral: \( \int_{0}^{5} x^{4} d x \)
2
Maths
Fill in the blank. In uniform circular motion remains constant. A. Acceleration B. Time c. speed D. Direction
3
Physics
A current of \( 2 A \) is passed through a coil of 1000 turns to produce a flux of \( 0.5 \mu W b . \) Self inductance of the coil A \( .2 .5 \times 10^{-4} H \) В. \( 2.5 \times 10^{-5} H \) c. \( 2.5 \times 10^{-6} H \) D. \( 2.5 \times 10^{-7} H \)
3
Physics
\( \sqrt[4]{0} x+\cos (\infty) \) .700 \( \$ \) \( \$ 0 \) \( \tan \)
1
Chemistry
Mark the incorrect reason why plants need water and minerals A. Transportation B. cooling c. Bleeding D. All
0
Biology
If the values of \( \wedge_{\infty} \) of \( \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{C l}, \boldsymbol{N} \boldsymbol{a} \boldsymbol{O H} \) and \( N a C l \) are 130,217 and 109 ohm \( ^{-1} \cdot c m^{2} \cdot e q u i v^{-1} \) respectively, the \( \wedge_{\infty} \) of \( N H_{4} O H \) in \( o h m^{-1} \cdot c m^{2} \cdot e q u i v^{-1} \) is: A .238 в. 198 c. 22 D. 456
1
Chemistry
If \( f \) be the differentiable for \( \forall x \). If \( \boldsymbol{f}(1)=-2 \) and \( \boldsymbol{f}^{\prime}(\boldsymbol{x}) \geq 2 \) for \( [\mathbf{1}, \boldsymbol{6}] \) then A. \( f(6)<8 \) В. \( f(6)=5 \) \( \mathbf{c} \cdot f(6) \geq 8 \) D. \( f(6)<5 \)
2
Maths
Draw the graph for the linear equation \( \boldsymbol{x}=-2 \boldsymbol{y} \) A. passes through (0,0) and \( m=2 \) B. passes through (0,0) and \( m=-2 \) c. passes through (1,2) and \( m=-\frac{1}{2} \) D. passes through (0,0) and \( m=-\frac{1}{2} \)
2
Maths
A student performs an experiment to determine the Young's modulus of a wire, exactly \( 2 \mathrm{m} \) long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be \( 0.8 m m \) with an uncertainty of \( \pm 0.05 \mathrm{mm} \) at a load of exactly \( 1.0 k g . \) The student also measures the diameter of the wire to be \( 0.4 m m \) with an uncertainty of ±0.01 \( \mathrm{mm} . \) Take \( \mathrm{g}=9.8 \mathrm{m} / \mathrm{s}^{2} \) (exact). The Young's modulus obtained from the reading is в. \( (2.0 \pm 0.2) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \) c. \( (2.0 \pm 0.1) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \) D. \( (2.0 \pm 0.05) \times 10^{11} \mathrm{N} / \mathrm{m}^{2} \)
3
Physics
The direct change from solid to gaseous state is referred to as: A. dissociation B. decomposition c. sublimation D. deliquescence
3
Physics
The long form of the periodic table consists of \( _{-} \) horizontal rows and vertical columns A. 6 and 17 B. 7 and 7 c. 5 and 7 D. 7 and 18
1
Chemistry
Magnesium reacts with an element \( (\boldsymbol{X}) \) to form an ionic compound. If the ground state electronic configuration of \( (X) \) is \( 1 s^{2} 2 s^{2} 2 p^{3}, \) the simplest formula for this compound is: A. \( M g_{2} X \) в. \( M g_{2} X_{3} \) с. \( M g_{3} X_{2} \) D. \( M g X_{2} \)
1
Chemistry
Name the plastic used for making non- stick pans: A. PVC B. Teflon c. Bakelite D. Melamine
1
Chemistry
The area of a rectangle and square are same. If the side of a square is \( 80 m \) and length of rectangular park is \( 200 m \) Find breadth of the rectangle.
2
Maths
WEIGHTLESSNESS An astronaut experiences weightlessness in a space satellite. It is because A. the gravitational force is small at that location in space B. the gravitational force is large at that location in space c. the astronaut experiences no gravity. D. the gravitational force is infinitely large at that location in space
3
Physics
f \( a, b, c \) are real numbers such that \( \left|\begin{array}{ccc}\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a}\end{array}\right|=0, \) then show that either \( \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}=\boldsymbol{0} \) or, \( \boldsymbol{a}=\boldsymbol{b}=\boldsymbol{c} \)
2
Maths
Plants take in air through tiny openings called........... which are present on A . Leaves, stomata B. Hydathodes, leaves c. Stomata, stem D. Stomata, leaves
0
Biology
Let \( \boldsymbol{f}:[\boldsymbol{a}, \boldsymbol{b}] \rightarrow[\mathbf{1}, \infty) \) be a continuous function and let \( g: R \rightarrow R \) be defined \( \operatorname{as} g(x)=\left\{\begin{array}{ccc}0 & \text { if } & x<a \\ \int_{a}^{x} f(t) d t & \text { if } & a \leq x \leq b \\ \int_{a}^{b} f(t) d t & \text { if } & x>b\end{array}\right. \) Then This question has multiple correct options \( \mathbf{A} \cdot g(x) \) is continuous but not differentiable at \( a \) B. \( g(x) \) is differentiable on \( R \) C \( \cdot g(x) \) is continuous but not differentiable at \( b \) D. \( g(x) \) is continuous and differentiable at either \( a \) or \( b \) but not both
2
Maths
In the following reaction: \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons 2 S O_{3}(g) \) the equilibrium is not attained. The rate of forward reaction is greater than that of backward reaction. Thus, which of the following is the correct relation between \( \boldsymbol{K}_{\boldsymbol{p}} \) and \( \boldsymbol{Q}_{\boldsymbol{p}} ? \) \( \mathbf{A} \cdot K_{p}=Q_{p} \) B \( \cdot Q_{p}>K_{p} \) \( \mathbf{c} \cdot Q_{p}<K_{p} \) D. \( K_{p}=Q_{p}=1 \)
1
Chemistry