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Assertion The solubility of a substance changes with temperature. Reason Heat is required to break the bonds holding molecules together so solubility is dependent on temperature.in dissolution, energy, in the form of heat, is required to break the bonds joining the molecules in the solid together. 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
\begin{tabular}{|ccc} if \( \boldsymbol{f}(\boldsymbol{x})= \) & \\ \( \mathbf{1} \) & \( \boldsymbol{x} \) & \( \boldsymbol{x}+ \) \\ \( \boldsymbol{2} \boldsymbol{x} \) & \( \boldsymbol{x}(\boldsymbol{x}-\mathbf{1}) \) & \( (\boldsymbol{x}+ \) \\ \( \boldsymbol{3} \boldsymbol{x}(\boldsymbol{x}-\mathbf{1}) \) & \( \boldsymbol{x}(\boldsymbol{x}-\mathbf{1})(\boldsymbol{x}-\mathbf{2}) \) & \( (\boldsymbol{x}+\mathbf{1}) \boldsymbol{x} \) \end{tabular} then \( f(100) \) is equal to \( \mathbf{A} \cdot \mathbf{0} \) B. 1 \( c .100 \) D. -
2
Maths
In A.C generator increasing no. of turns in coil : A. decreases the EMF B. EMF remains same c. increases the EMF D. EMF becomes zero
3
Physics
Assertion An alternating current does not show any magnetic effect. Reason Alternating current does not vary with time 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
3
Physics
Wires \( A \) and \( B \) are made from the same material. Wire A has length 12m and weight 50 g, while wire \( B \) is 18 m long and weighs 40 g. Then the ratio \( \left(R_{A} / R_{8}\right) \) of their resistances will be \( A \cdot 16 / 45 \) B. 415 \( c \cdot 8 / 15 \) D. 419
3
Physics
Which of the following is better nucleophile? A. \( H_{2} O \) B. \( H O^{-} \) \( \mathbf{c} \cdot C_{2} H_{5} O^{-} \) D. \( C H_{3} C O O^{-} \)
1
Chemistry
Lower aldehyde and ketones attributed to the formation of \( _{--}-_{-}- \) bonding with water molecules. A. Sigma bonding B. pii bonding c. covalent bonding D. Hydrogen bonding
1
Chemistry
A current of \( 3.14 A \) flows in an infinitely long wire with cross section in the form of a semicircular ring of radius \( 5 \mathrm{cm} \) The magnitude of magnetic induction on its axis is : A . \( 8.0 \times 10^{-6} T \) В. \( 1.6 \times 10^{-5} T \) c. \( 2.0 \times 10^{-5} T \) D. \( 4.0 \times 10^{-6} T \)
3
Physics
Evaluate \( \int \frac{d x}{(2 x-7) \sqrt{(x-3)(x-4)}} \)
2
Maths
The volume of oxygen at \( S T P \) required to burn \( 2.4 g \) of carbon completely is: \( \mathbf{A} \cdot 1.12 L \) B. \( 8.96 L \) c. \( 2.24 L \) D. 4.48L
1
Chemistry
If \( f(x)=\frac{\tan x}{\sqrt{1+\tan ^{2} x}}, \lim _{x \rightarrow(\pi / 2)^{-}} f(x)= \) \( \boldsymbol{a} \) and \( \lim _{\boldsymbol{x} \rightarrow(\boldsymbol{\pi} / \mathbf{2})^{+}} \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{b} \) then \( \mathbf{A} \cdot a=b \) B . \( a=1+b \) \( \mathbf{c} \cdot a+b=0 \) D. \( a+b=2 \)
2
Maths
left of a thin convex lens of focal length \( 30 \mathrm{cm} . \) A convex spherical mirror of radius of curvature \( 100 \mathrm{cm} \) is placed to the right of the lens at a distance of \( 50 \mathrm{cm} . \) The mirror is titled such that the axis of the mirror is at a angle \( \boldsymbol{\theta}=\mathbf{3 0}^{\circ} \) to the axis of the lens, as shown in the figure. If the origin of the coordinate system is taken to be at the centre of the lens, the coordinates \( (\text { in } c m) \) of the point \( (x, y) \) at which the image is formed are: \( \mathbf{A} \cdot(125 / 3,25 / \sqrt{3}) \) B \( \cdot(50-25 \sqrt{3}, 25) \) c. (0,0) D. \( (25,25 \sqrt{3}) \)
3
Physics
In a recent survey, \( 40 \% \) houses contained two or more people. Of those houses containing only one person, \( 25 \% \) were having only a male What is the percentage of all houses, which contain exactly one female and no males? A . 15 B. 45 c. 75 D. Can't be determined
2
Maths
Given the reaction: \( N_{2}(g)+3 H_{2}(g) \rightleftharpoons \) \( 2 N H_{3}(g)+22 k c a l \) When 6 moles of \( N H_{3} \) are consumed to produce nitrogen gas and hydrogen gas, determine the value of \( \Delta H \) for the reverse reaction? \( \mathbf{A} \cdot+22 k c a l \) B . +66 kcal c. -22 kcal D. - 66 kcal E . +33 kcal
1
Chemistry
If \( \boldsymbol{L} \boldsymbol{M} \| \boldsymbol{Q} \boldsymbol{R}, \frac{\boldsymbol{P} \boldsymbol{L}}{\boldsymbol{L} \boldsymbol{Q}}=\frac{\boldsymbol{3}}{\mathbf{5}}, \boldsymbol{P} \boldsymbol{R}=\mathbf{5 . 6} \boldsymbol{c m} \) then \( P M \) is A \( .2 .4 \mathrm{cm} \) B. 2.3 ст \( c .2 .1 \mathrm{cm} \) D. 2.2 cm
2
Maths
Complete the reactions with appropriate products. (i) \( C H_{3} C H O+N H_{2} O H \rightarrow X \) (ii) \( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{P d C l}_{2}+ \) \( \boldsymbol{H}_{2} \boldsymbol{O} \stackrel{\boldsymbol{C u C l}_{2}}{\longrightarrow} \boldsymbol{Y} \) (iii) \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O H} \frac{C r \boldsymbol{O}_{3}-\boldsymbol{H}_{2} \boldsymbol{S O}_{4}}{\boldsymbol{\lambda}} \boldsymbol{Z} \) A. \( X=C H_{3} C H=N O H, Y=C H_{3} C H O, Z= \) \( C H_{3} C H_{2} C H_{2} C O O H \) B. \( X=C H_{3} C H_{2} N H_{2}, Y=C H_{3} C H_{2} C H O, Z= \) \( C H_{3} C H_{2} C H_{2} C O O H \) c. \( X=C H_{3} C O N H_{2}, Y=H C H O, Z=C H_{3} C O C H_{3} \)
1
Chemistry
Inside water, an air bubble behaves A. Always like a flat plate B. Always like a concave lens C. Always like a convex lens D. Always like a concave mirror
3
Physics
Blood of Pheretima is A. Red в. Вlue c. colourless D. None of the above
0
Biology
In the matrix, write: \( A=\left[\begin{array}{ccc}2 & 5 & 19-7 \\ 35-2 & \frac{5}{2} & 12 \\ \sqrt{3} & 1 & -517\end{array}\right] \) (i) The order of the matrix (ii) The number of elements (iii) Write the elements \( a_{13}, a_{21}, a_{33}, a_{24}, a_{23} \)
2
Maths
A toroid has a core(non-ferromagnetic) of inner radius \( 25 \mathrm{cm} \) and outer radius \( 26 \mathrm{cm}, \) around which 3500 turns of a wire are wound. If the current in the wire is \( 11 A \), the magnetic field inside the core of the toroid is?
3
Physics
The maximum safe speed for a vehicle taking a turn on a curved banked road, does not depend upon A. acceleration due to gravity B. mass of the vehicle c. angle of inclination with the horizontal D. radius of curvature of the track
3
Physics
The ratio of value of gravitational constant \( G \) between Earth and Moon system and Earth and Sun system is- \( A \cdot>1 \) в. \( <1 \) c. 1 D. can't be calculated
3
Physics
An electric oven of \( 2 \mathrm{kW} \) power rating is operated in a domestic electric circuit that has a current rating of 5A. If the supply voltage is \( 220 \mathrm{V} \), what result do you expect? A . circuit will be breaked B. fuse will blow \( c . \) both D. none
3
Physics
On increasing temperature from \( 200 \mathrm{K} \) to \( 220 \mathrm{K} \) rate of reaction \( \boldsymbol{A} \) increases by 3 times and rate of reaction \( B \) increases by 9 times then correct relationship between activation energy of \( A \) and \( B \) is: A. \( E_{A}=3 E_{B} \) B \( .3 E_{A}=E_{B} \) \( \mathbf{c} \cdot E_{B}=2 E_{A} \) D. \( E_{A}=2 E_{B} \)
1
Chemistry
In a square box, a glass is to be surrounded by a \( 2 \mathrm{cm} \) glass border. If the total area of the square is \( 121 \mathrm{cm}^{2} \) Find the dimension of the glass box. A. \( 5 \mathrm{cm} \) в. \( 6 \mathrm{cm} \) \( c \cdot 7 \mathrm{cm} \) D. \( 8 \mathrm{cm} \)
2
Maths
Account for the following: (i) \( B i(V) \) is a stronger oxidizing agent \( \operatorname{than} \boldsymbol{S b}(\boldsymbol{V}) \) (ii) \( N-N \) single bond is weaker than \( \boldsymbol{P}-\boldsymbol{P} \operatorname{single} \) bond (iii) Noble gases have very low boiling points.
1
Chemistry
By dissolving 0.35 mole of sodium chloride in water, \( 1.30 l \) of salt solution is obtained. The molarity of the resulting solution should be reported as: A . 0.3 B. 0.269 c. 0.27 D. 0.2692
1
Chemistry
The flux of magnetic field through closed conducting loop of resistance 0.4 Whanges with time according to the equation \( \phi=0.20 t^{2}+0.40 t+0.60 \) where is time in seconds. Find (i) the induced emf at \( t=2 s . \) (ii) the average induced emf in \( t=0 \) to \( t=5 \) s. (iii) change passed through the loop in \( t=0 \) to \( t=5 s . \) (iv) average current in time interval \( t=0 \) to \( t=5 s \) (v) heat produced in \( t=0 \) to \( t=5 s \)
3
Physics
When is the virtual image formed? A. when the rays of light after reflection or refraction appear to meet at a point B. when the rays of light after reflection or refraction meet at a point C. when the rays of light after deflection appear to meet at a point D. when the lens rays after reflection or refraction meet at a point
3
Physics
\( A B C D \) is a quadrilateral in which \( A B \) and \( C D \) are smallest and longest sides respectively. Prove that \( \angle A>\angle C a n d \angle B>\angle D \)
2
Maths
On a planet where \( \boldsymbol{g}_{\text {planet}}=\mathbf{0 . 2} \boldsymbol{g}_{\text {earth}} \) What will be the difference in the height of column filled with mercury in a closed end manometer when the gas is filled withe pressure of \( 2 a t m \) on earth (Assuming:outside pressure to be 1 atm on both planet; Volume of gas remain constant) A . \( 30.4 \mathrm{cm} \) в. \( 760 \mathrm{cm} \) c. \( 380 c m \) D. 152 ст
3
Physics
The material for making permanent magnets should have A. high retentivity, high coercivity B. high retentivity, low coercivity c. low retentivity, high coercivity D. low retentivity, low coercivity
3
Physics
Which metabolite is common in respiration mediated breakdown of fats, carbohydrates and proteins? A. Acetyl CoA B. Glucose 6-phosphate c. Fructose 1, 6-biphosphate D. Pyruvic acid
0
Biology
The variable in the quadratic polynomial \( t^{2}+4 t+5 \) is \( \mathbf{A} \cdot \mathbf{1} \) B. 4 \( c \cdot t \) D. 5
2
Maths
initial speed of \( 25 \mathrm{m} / \mathrm{s} \) at an angle \( \boldsymbol{\theta} \) with the horizontal as shown in figure. Write down the equation of the projectile of the football when the ball is 7 m (along x-axis) away from the footballer. A \( \cdot y=7 \tan \theta-\frac{49 g}{1350 \cos ^{2} \theta} \) B. \( y=\tan \theta-\frac{9 g}{1350 \cos \theta} \) c. \( y=7 \cot \theta-\frac{49 g}{1350 \cos ^{2} \theta} \) D. \( y=7 \tan \theta-\frac{41 g}{1350 \cos 2 \theta} \)
3
Physics
\( \int e^{x}\left[f(x)+f^{\prime}(x)\right] d x \) is equal to \( \mathbf{A} \cdot e^{x} f(x)+c \) B \( \cdot e^{x}+c \) \( \mathbf{c} \cdot e^{x} f^{\prime}(x)+c \) D. None of these
2
Maths
Figure shows equi-potential surfaces for a two charges system. At which of the labeled points point will an electron have the highest potential energy? A. Point \( A \) B. Point \( B \) \( c . \) Point \( C \) D. Point \( D \)
3
Physics
The conductivity of \( 0.20 \mathrm{M} \) solution of \( K C l \) at \( 298 \mathrm{K} \) is \( 0.0248 S c m^{-1} \) Calculate its molar conductivity. A \( \cdot 112 \operatorname{Scm}^{2} m o l^{-1} \) B. \( 124 S c m^{2} m o l^{-1} \) \( \mathbf{c} \cdot 136 S c m^{2} m o l^{-1} \) D. 148 Scm \( ^{2} \) mol \( ^{-1} \)
1
Chemistry
Let \( \boldsymbol{A}=\boldsymbol{R} \times \boldsymbol{R} \) and \( * \) be a binary operation on \( A \) defined by \( (a, b) * \) \( (c, d)=(a+c, b+d) . \) Show that \( * \) is commutative and associative. Find the identity element for \( * \) on \( A, \) if any
2
Maths
The difference between the wavelengths of the Stokes line and Anti-Stokes lines in the Raman spectrum of \( \boldsymbol{H}-\boldsymbol{B} \boldsymbol{r} \) molecule is \( 100 \dot{A} \). If the wavelength of the Anti-Stokes line is \( 5000 A \) the wavelength of the incident radiation is: В . \( 4950 \AA \) c. \( 5100 \hat{h} \) D. 4900 音
3
Physics
Water absorbs light. As depth increases intensity of light decreases linearly. At 13.5 feet, water absorbs 50 percent of light which strikes the surface. At what depth would the light at noon be reduced by \( \frac{1}{3.00,000} \) of the noon light.
2
Maths
A photon of wavelength \( 300 \mathrm{nm} \) interacts with a stationary hydrogen atom in ground state. During the interaction,whole energy of the photon is transferred to the electron of the atom. State which possibility is correct (Consider,Plancks constant \( =\mathbf{4} \times \mathbf{1 0}^{-1 \mathbf{1}} \) \( \mathrm{eVs}, \) velocity of light \( =3 \times 108 \mathrm{m} / \mathrm{s} \) ionization energy of hydrogen \( =13.6 \mathrm{e} \) A. Electron will be knocked out of the atom B. Electron will go to any excited state of the atom c. Electron will go only to first excited state of the atom D. Electron will keep orbiting in the ground state of ato
3
Physics
Solve \( : 3^{1} \times^{10} C_{1}+3^{2} \times^{10} C_{2}+3^{3} \times^{10} \) \( C_{3}+\ldots .+3^{10} \times^{10} C_{10}=? \)
2
Maths
An equilateral triangle has area \( A \sqrt{3} \) Three circles are drawn with their centres at the vertices of the triangle. Diameter of each circle is equal to the length of each side of the triangle. The area of the triangle NOT included in any of the three circles is A \( \cdot A\left(\sqrt{3}-\frac{\pi}{6}\right) \) B . \( A(\pi-\sqrt{3}) \) c. \( A(3 \pi-\sqrt{3}) \) D. \( A\left(\sqrt{3}-\frac{\pi}{2}\right) \)
2
Maths
The atomic masses of three elements \( \boldsymbol{A} \) \( B \) and \( C \) having similar chemical properties are 7,23 and 39 respectively. (a) Calculate the average atomic mass of elements \( A \) and \( C \) (b) Compare the average atomic mass with atomic mass of \( \boldsymbol{B} \) (c) What could the elements \( A, B \) and \( C \) be?
1
Chemistry
In the figure given above, the position time graph of a particle of mass \( 0.1 k g \) is shown. The impulse at \( t=2 \sec \) is: A \( .0 .2 k g m s e c^{-} \) B. - \( 0.2 k g m \) sec \( ^{-1} \) c. \( 0.1 k \) gmsec \( ^{-1} \) D. - \( 0.4 k g \) msec\( ^{-} \)
3
Physics
ATP was discovered by A. Lipmann B. Lohmann c. Blackman D. Bowman
0
Biology
A satellite moves in a circular orbit around the earth at height \( \boldsymbol{R} / 2 \) from earth's surface where \( R_{e} \) is the radius of the earth. Calculate its period of revolution. Given \( \boldsymbol{R}_{e}=\mathbf{6 . 3 8} \times \mathbf{1 0}^{\mathbf{6}} \mathbf{m} \)
3
Physics
Is \( 1.0 \mathrm{M} \boldsymbol{H}^{+} \) solution under \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) at 1.0atm capable of oxidising silver metal in the prescence of \( 1.0 \mathrm{M} A g^{+} \) ion?
1
Chemistry
Among the Lanthanoids, the one obtained by synthetic method is: A . \( L u \) в. \( P r \) c. \( P m \) D. \( G d \)
1
Chemistry
The total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of \( 1 d m^{3} \) at \( 27^{\circ} C \) is : \( \left(R=0.083 \text { bar } d m^{3} K^{-1} m o l^{-1}\right) \) A . 44.02 bar B . 35.35 bar c. 56.025 bar D. 42.39 bar
1
Chemistry
Standard electrode potential for \( \mathrm{Fe} \) electrode are given as \( F e^{++}+2 e^{-} \rightarrow F e \) \( E^{0}=-0.44 V F e^{3+}+e^{-} \rightarrow F e^{++} E^{0}= \) \( +0.77 V F e^{++}, F e^{+++} \) and Fe block are kept together then: A \( \cdot\left[F e^{+++}\right] \) decreases B . \( \left[F e^{+++}\right] \) increases C \( \cdot\left[F e^{++} F e^{+++}\right] \) remains unchanged D. \( \left[F e^{++}\right] \) decreases
1
Chemistry
tood yo
1
Chemistry
What is the systematic position of funaria?
0
Biology
A 5 m \( 60 \mathrm{cm} \) high vertical pole casts a shadow \( 3 m 20 \mathrm{cm} \) long. Find at the same time (i) the length of the shadow cast by another pole 10 m \( 50 \mathrm{cm} \) high (ii) the height of a pole which casts a shadow 5 m long.
2
Maths
Hydroboration-oxidation of \( \boldsymbol{C} \boldsymbol{H}_{3} \boldsymbol{C} \boldsymbol{H}= \) \( \boldsymbol{C H}_{2} \) produces: A. \( C H_{3} C H_{2} C H_{2} O H \) в. \( C H_{3} C H(O H) C H_{3} \) c. \( C H_{3} C H(O H) C H_{2} O H \) D. \( C H_{3} C O C H_{3} \)
1
Chemistry
\( \left[\boldsymbol{P T B r} \boldsymbol{C l}\left(\boldsymbol{N O}_{2}\right)\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)\right] \boldsymbol{I} \) complex on ionization gives the ion? A \( \cdot C l^{-} \) B. \( B r \) \( c \cdot I^{-} \) D. \( N O_{2}^{-} \)
1
Chemistry
Starting from rest,a car moves with uniform acceleration and attains a velocity of \( 72 k m / h r \) in \( 2 s . \) It then moves with uniform speed for \( 25 s \) and is then brought to rest in \( 10 s \) under uniform retardation.Find the total distance travelled using velocity time graph.
3
Physics
Describe any two types of cartilaginous joints giving examples.
0
Biology
According to the Arrhenius equation, This question has multiple correct options A. A high activation energy usually implies a fast reaction. B. Rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy. C. Higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant D. The pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.
1
Chemistry
A closed box made of steel of uniform thickness has length, breadth and height \( 12 \mathrm{dm}, 10 \mathrm{dm} \) and \( 8 \mathrm{dm} \) respectively. If the thickness of the steel sheet is \( 1 \mathrm{dm}, \) then the inner surface area is \( \mathbf{A} \cdot 456 \mathrm{dm}^{2} \) B. \( 376 \mathrm{dm}^{2} \) \( \mathbf{c} \cdot 264 \mathrm{dm}^{2} \) D. \( 696 \mathrm{dm}^{2} \)
2
Maths
The set of all points of discontinuities of fofofof, \( g \) where \( f \) and \( g \) are given by
2
Maths
Two proton beams are moving in the parallel direction. Which of the following statements are correct. This question has multiple correct options A. Force between the proton beams will be attractive B. Magnetic force between proton beams will be attractive C. Repulsive force will be greater than attractive forces D. Magnetic and electrostatic forces will cancel each other
3
Physics
Prove that \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}-\mathbf{1}|+|\boldsymbol{x}-\mathbf{1}|+ \) \( |x-3| \) is continuous on \( R \) but not differentiable at \( x=1,2 \) and 3 only.
2
Maths
Evaluate the integral \( \int_{0}^{1} \cos ^{-1} x d x \) A . B. - c. \( \frac{\pi}{2} \) D.
2
Maths
Which of the following orbital overlapping will form Pi bond? \( \underbrace{1}_{s}+\underbrace{\bigcup_{s}}_{s} \) в. \( c \) \( \underbrace{S_{p_{v}}}^{y}+\underbrace{V_{p_{y}}}_{V_{V}} \) D.
1
Chemistry
A \( 200 M e V \) proton enters a region of the magnetic field of intensity 5 T. The magnetic field points from south to north and the proton in moving along the vertical. The value of the force acting on the proton will be A. zero В. \( 1.8 \times 10^{-10} N \) c. \( 3.2 \times 10^{-18} N \) D. \( 1.6 \times 10^{-6} N \)
3
Physics
The cost of an article is decreased by 15 \%. If the original cost is Rs. \( 80, \) find the new cost. \( \mathbf{A} \cdot 68 \) B. 65 c. 57 D. 55
2
Maths
\( \int_{0}^{\pi}|\cos x| d x=? \) \( A \cdot 2 \) B. \( \frac{3}{2} \) c. 1 D.
2
Maths
An object of mass \( 1 k g \) is dropped from a height of 20 m. It hits the ground and rebounds with the same speed. Find the change in momentum. (Take \( \boldsymbol{g}= \) \( \left.10 m / s^{2}\right) \)
3
Physics
Ohm's law is true: A. For metallic conductor at low temperature B. For metallic conductor at high temperature C. For electrolytes, when current passes through them D. For diode when current flows
3
Physics
In the figure, \( \angle A C B=90^{0} \) and radius of big circle \( =2 c m, \) then the radius of small circle is (in \( c m) \) \( A \cdot 3-2 \sqrt{2} \) B. \( 4-2 \sqrt{2} \) c. \( 7-4 \sqrt{2} \) D. \( 6-4 \sqrt{2} \)
2
Maths
Assertion The focal length of a lens does not depend on the medium in which it is submerged Reason \( \frac{1}{\boldsymbol{f}}=\frac{\boldsymbol{\mu}_{2}-\boldsymbol{\mu}_{1}}{\boldsymbol{\mu}_{1}}\left(\frac{1}{\boldsymbol{R}_{1}}-\frac{1}{\boldsymbol{R}_{2}}\right) \) 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
Find the mean variance and standard deviation using short-cut method \( \begin{array}{ll}\begin{array}{l}\text { Height } \\ \text { in cms }\end{array} & \text { No. of children } \\ \text { 70-75 } & 3 \\ \text { 75-80 } & 4 \\ 80-85 & 7 \\ \text { 85-90 } & \text { 7 } \\ \text { 90-95 } & 15 \\ \text { 95-100 } & 9 \\ \text { 100-105 } & 6 \\ \text { 105-110 } & 6 \\ \text { 110-115 } & \text { 3 }\end{array} \)
2
Maths
Q Type your question. 1811 Iclicucu ny a pian 4 B \( c \) \( D \)
3
Physics
Recall that two circles are congruent if they have the same radius then equal chords of congruent circles subtend equal angles at their centres. A . True B. False
2
Maths
Identify if the given Lewis structure is correct If correct enter 1 , else enter 0 .
1
Chemistry
The pKa values for the three groups \( P, Q, R \) are 4.3,9.7 and 2.2 respectively Calculate the isoelectric point of the amino acid rounded to the nearest integer?
1
Chemistry
Coulomb of charge contains \( \overline{\mathbf{2 5}} \) electrons \( \mathbf{A} \cdot 10^{15} \) В. \( 10^{18} \) \( c \cdot 10^{20} \) D. None of these
3
Physics
Two wires of different material and radius have their length in ratio of 1: 2 if these were stretched by the same force, the strain produced will be in the ratio. A . 4: 1 B. 1: 1 c. 2: 1 D. 1: 2
3
Physics
Solve the equation:cos \( ^{-1}\left(\frac{x^{2}-1}{x^{2}+1}\right)+ \) \( \sin ^{-1}\left(\frac{2 x}{x^{2}+1}\right)+\tan ^{-1}\left(\frac{2 x}{x^{2}-1}\right)= \) 3 A \( \cdot \frac{1}{\sqrt{3}} \) B. \( \cot 20^{\circ} \) \( c \cdot \frac{-1}{\sqrt{3}} \) D. \( \tan 20 \)
2
Maths
IR region lies between. A. Radio waves and microwave regions B. Microwave and visible C. Visible and UV region D. UV rays and X-ray region
3
Physics
Which of the following weights less when weighted in magnetic field? A. \( S r C l_{3} \) в. \( F e C l_{3} \) c. \( T i C l_{3} \) D. \( V C l_{3} \)
1
Chemistry
A full-wave p-n diode rectifier uses a load resistor of \( 1500 \Omega \). No filter is used. The forward bias resistance of the diode is \( 10 \Omega . \) the efficiency of the rectifier is A . \( 81.2 \% \) B . \( 40.6 \% \) c. \( 80.4 \% \) D. \( 40.2 \% \)
3
Physics
Fill in the blank: charges collect near the upper edges of the clouds. A. Negative B. Positive c. Neutral D. No
3
Physics
A neutron breaks into a proton and an electron. Calculate the energy produced in this reaction is MeV. Mass of an electron \( =9 \times 10^{-31} k g, \) mass of proton \( =1.6725 \times 10^{-27} k g, \) mass of neutron \( =1.6747 \times 10^{-27} k g, \) and speed of light \( =3 \times 10^{8} m s^{-1} \)
3
Physics
Water flows out through a circular pipe whose internal diameter is \( 2 \mathrm{cm} \), at the rate of 6 metre per second into a cylindrical tank, the radius of whose base is \( 60 \mathrm{cm} \). By how much will the level of water rise in 30 minutes? A \( .2 m \) в. \( 3 m \) \( c .4 m \) D. \( 5 m \)
2
Maths
During an \( \alpha \) -decay, the atomic number of parent element and mass number 4
3
Physics
Q Type your question by \( \boldsymbol{S}_{N} \mathbf{1} \) IS \( \boldsymbol{3}^{v}>\boldsymbol{Z}^{v} \mathbf{1}^{v} \boldsymbol{K} \boldsymbol{X} \) and \( \mathbf{b} \mathbf{y} \boldsymbol{\nabla} \boldsymbol{V}^{-} \) path is \( 1^{\circ}>2^{\circ}>3^{\circ} R X \) Which of the following statements are correct for the above energy diagras of \( \boldsymbol{S}_{N} \mathbf{1} \) and \( \boldsymbol{S}_{N} \mathbf{2} \) reactions? \( (a) \) Fig. \( (\mathbf{b}) \) This question has multiple correct options \( \mathbf{A} \cdot(I) \) is Fig (a) and \( (I V) \) in Fig. (b) represent \( S_{N} 1 \) reaction B. \( (I I) \) is Fig (a) and \( (I I I) \) in Fig. (b) represent \( S_{N} 2 \) reaction \( \mathbf{C} \cdot \) Fig. (a) and Fig. (b) are the energy diagrams for \( 1^{\circ} R X \) and \( 3^{\circ} R X \) respectively \( D \cdot F i g \) (a) and Fig. (b) are the energy diagrams for \( 3^{\circ} \) RX and \( 1^{\circ} R X \) respectively
1
Chemistry
Mohan lends Rs.4,800 to John for \( 4 \frac{1}{2} \) years and Rs.2,500 to Shyam for 6 years and receives a total sum of Rs.2,196 as interest. Find the rate per cent per annum, it being the same in both the cases. A . २\% B. 5\% c. \( 6 \% \) D. 9\%
2
Maths
The D.E whose solution is \( y=c \sin x \) is: This question has multiple correct options A \( \cdot \frac{d y}{d x}=y \cot x \) \( \mathbf{B} \cdot y_{2}+y=0 \) C \( \cdot \frac{d y}{d x}=y \cos x \) D. \( \frac{d y}{d x}=y \csc x \)
2
Maths
Commercial silk is obtained from A. Cocoon or pupa B. Caterpillar c. Adult moth D. Both egg and adult moth
1
Chemistry
Which of the following quantities do not change when a resistor connected to a battery is heated due to the current? A . Resistance B. Resistivity c. Drift velocity D. Free electron density
3
Physics
Calculate the weight of \( F e O \) produced from 6.7 g of \( V O \) and 4.8 g of \( F e_{2} O_{3} \) \( 2 V O+3 F e_{2} O_{3} \rightarrow 6 F e O+V_{2} O_{5} \) (Given that the atomic weight of \( V \) is 51 amu and of \( F e \) is 56 amu. A .4 .32 B. 7.755 c. 2.585 D. 0.0718
1
Chemistry
Stars, in a constellation form: A. no shape B. any arbitrary shape c. a recognisable shape D. a straight line always
3
Physics
While opening a tap with two fingers, the forces applied are : A. Equal in magnitude B. Parallel to each other c. opposite in direction D. All the above
3
Physics
A variable line is such that its distance from origin always remains 2 units. Minimum value of the length of intercept made by it between coordinate axis is A \( \cdot 12 \) B. 4 \( c \cdot 8 \) D. 16
3
Physics
Solve: \( (\boldsymbol{x}+\boldsymbol{y})(\boldsymbol{d} \boldsymbol{x}-\boldsymbol{d} \boldsymbol{y})=\boldsymbol{d} \boldsymbol{x}+\boldsymbol{d} \boldsymbol{y} \)
2
Maths
Calculate the angle of minimum deviation of ray of light passing through an equilateral prism of refractive index \( \mathbf{1 . 7 3 2} \)
3
Physics
Sum of atomic masses of all atoms in a formula unit of an ionic compound is known as: A. molecular mass B. formula mass unit c. atomic mass D. None of the above
1
Chemistry