BITSAT 2020
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Chemistry

In a set of reactions, m-bromobenzoic acid gives a product D. Identify the product D:
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A volume of 50.00 mL of a weak acid of unknown concentration is titrated with 0.10 M solution of NaOH. The equivalence p
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1-phenyl-1, 3-dibromopropane on treatment with alc. KOH givens diastereomeric mixture in which compound (A) is major pro
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Which of the following statement is incorrect?
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Which of the following is not a mixed pair of oxides?
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A solution of copper sulphate is electrolyzed between copper electrodes by a current of 10.0A passing for one hour. Whic
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Identify structure of compound (D).
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Which of the following statement is correct?
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Which of the following statements on critical constants of gases are correct? I. Larger the Tc/pc value of a gas, larger
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In the given reaction, Product (D) is
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(B) is identified by the characteristic colour of the flame. (A) and (B) are respectively :
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How many mL of perhydrol is required to produce sufficient oxygen which can be used to completely convert 2 L of SO2 gas
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At the top of a mountain the thermometer reads 0$$^\circ$$C and the barometer reads 710 mm Hg. At the bottom of the moun
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Match the following columns: .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:s
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Most acidic hydrogen is present in
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The process of 'eutrophication' is due to the
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Ionisation energy of H-atom is 13.6 eV. The wavelengths of the spectral line emitted when an electron in Be3+ comes them
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The enthalpies of combustion of carbon and carbon monoxide in excess of oxygen at 298 K and constant pressure are $$-$$3
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If the quantum number I could have the value 'n' also then, Sc(21) would have electronic configuration as (other rules s
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1.1 mole of A mixed with 2.2 moles of B and the mixture is kept in a 1 L flask and the equilibrium, A + 2B $$\rightlefth
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Choose the correct chemical reaction among the following:
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Which of the following reactions represents disproportionation?
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Compound C is
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On the basis of Ellingham diagram, which of the following is not correct?
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Out of the options listed below, which one cannot be explained by adsorption?
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Identify 'A' and 'B' in the following reaction
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An element occurs in two crystalline forms $$\alpha$$ and $$\beta$$. The $$\alpha$$-form has an fcc with $$a = 3.68\,\ma
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The molar heat of vaporisation of water at 100$$^\circ$$C is 40.585 kJ/mol. The temperature at which a solution containi
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An organic base C8H11N(X) reacts with nitrous acid at 0$$^\circ$$C to give a clear solution. Heating the solution with K
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The final product of the following reaction is/are
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The correct order of pseudohalide, polyhalide and interhalogen is
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An inorganic halide (A) reacts with water to form two acids (B) and (C). (A) also reacts with NaOH to form two salts (D)
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Following statements regarding the periodic trends of chemical reactivity to the alkali metals and the halogens are give
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According to IUPAC nomenclature sodium nitroprusside is named as
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A(g) $$\to$$ P(g) + Q(g) + R(g), Follow first order kinetics with a half-life of 69.3 s at 500$$^\circ$$C. Starting from
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Which of the following gives paracetamol on acetylation?
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In qualitative analysis when H2S is passed through an aqueous solution of salt acidified with dilute HCl, a black ppt. i
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Titration of 0.1467 g of primary standard Na2C2O4 required 28.85 mL of KMnO4 solution. Calculate the molar concentration
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Identify the incorrect statement regarding the complex [Cr(NH3)6]Cl3.
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Sulphuric acid is a dibasic acid. It ionises in two stages and hence has two dissociation constants Ka1 and Ka2. Which o
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English Proficiency

Find out which part of a sentence has an error. If there is no error mark part (d) as your answer.
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Find out which part of a sentence has an error. If there is no error mark part (d) as your answer.
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Find out which part of a sentence has an error. If there is no error mark part (d) as your answer.
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Her trekking was met .................. obstacles.
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She has not got .................... the shock of losing her father.
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Yuvraj Singh is suffering from a BENIGN cancer.
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He is a NOTED figure of film industry.
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SAGACIOUS decisions taken at right time in one's career has long effects.
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The actor got 'PEEVISH' on asking personal questions.
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The engineer 'ROUGHED OUT' his ideas on a piece of paper while he talked.
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Which one of the following statements is correct?
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What should be given priority attention?
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Which one of the following statements is not correct?
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What would force the planning process to undergo a change?
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Which one of the following is implied by the expression 'momentous trends'?
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Logical Reasoning

Find out the wrong number. 2, 6, 12, 72, 865, 62208
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Each of P, Q, T, A and B has different heights. T is taller than P and B but shorter than A and Q. P is not the shortest
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Identify the missing part of the question figure and select it from given answer figures.
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Select the related word from the given alternatives. Mechanic : Spanner : : Carpenter : ?
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How many rectangles are there in the following figure?
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In the following question find the odd letters/group from the given alternatives.
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Find out which of the answer figures (a), (b), (c) and (d) completes the figure matrix?
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Among the four answer figures, which one can be formed from the cut out pieces given below in the question figures?
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A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicates how
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In the following question three dots are placed in the figure marked as (A). The figure is followed by four alternatives
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Mathematics

If $$A = \{ x:{x^2} = 1\} $$ and $$B = \{ x:{x^4} = 1\} $$, then A $$\Delta$$ B is equal to
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If $$2f(xy) = {(f(x))^x} + {(f(y))^x}$$ for all $$x,y \in R$$ and $$f(1) = a( \ne 1)$$. Then $$\sum\limits_{k = 1}^n {f(
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Let f(x) = x $$-$$ 3, g(x) = 4 $$-$$ x. Then the set of values of x for which $$|f(x) + g(x)|\,
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If a1, a2, a3, ......., a20 are AM's between 13 and 67, then the maximum value of a1, a2, a3, ......, a20 is equal to
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If p, q, r are in AP and are positive, the roots of the quadratic equation px2 + qx + r = 0 are all real for
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The value of $${}^{47}{C_4} + \sum\limits_{r = 1}^5 {{}^{52 - r}{C_3}} $$ is equal to
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The number of numbers divisible by 3 that can be formed by four different even digits is
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If n(A) = 1000, n(B) = 500, n(A $$\cap$$ B) $$\ge$$ 1 and n(A $$\cup$$ B) = P, then
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$$\left\{ {x \in R:{{2x - 1} \over {{x^3} + 4{x^2} + 3x}} \in R} \right\}$$ is equal to
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Let f(x) be a polynomial function of second degree. If f(1) = f($$-$$1) and a, b, c are in AP, then f'(a), f'(b) and f'(
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The value of $$\mathop {\lim }\limits_{x \to \infty } {1 \over n}\left\{ {{1 \over {n + 1}} + {2 \over {n + 2}} + .... +
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The coefficient of x8 in the polynomial (x $$-$$ 1) (x $$-$$ 2) ..... (x $$-$$ 10)
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If $$z = {{7 + i} \over {3 + 4i}}$$, then z14 is
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The solution of the equation $${{dy} \over {dx}} + {1 \over x}\tan y = {1 \over {{x^2}}}\tan y\sin y$$ is
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The value of the definite integral $$\int\limits_0^{\pi /2} {{{dx} \over {\tan x + \cot x + \cos ec\,x + \sec x}}} $$
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If a and b are two vectors such that | a | = 1, | b | = 4 a . b = 2. If c = (2a $$\times$$ b) $$-$$ 3b, then angle betwe
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Let x1 and x2 be the real roots of the equation $${x^2} - (k - 2)x + ({k^2} + 3k + 5) = 0$$, then maximum value of $$x_1
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Circle centered at origin and having radius $$\pi$$ units is divided by the curve y = sin x in two parts. Then area of u
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The root of the equation $$2(1 + i){x^2} - 4(2 - i)x - 5 - 3i = 0$$, where $$i = \sqrt { - 1} $$, which has greater modu
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The equation $$(\cos \beta - 1){x^2} + (\cos \beta )x + \sin \beta = 0$$ in the variable x has real roots, then $$\bet
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An ordered pair ($$\alpha$$, $$\beta$$) for which the system of linear $$(1 + \alpha )x + \beta y + z = 2$$, $$\alpha x
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A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45$$^\circ$$
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If one GM, g and two AM's p and q are inserted between two numbers a and b, then (2p $$-$$ q) (p $$-$$ 2q) is equal to
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When x100 is divided by x2 $$-$$ 3x + 2, the remainder is (2k + 1 $$-$$ 1)x $$-$$(2k $$-$$ 1), then k is
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The mean of five observation is 5 and their variance is 9.20. If three of the given five observation are 1, 3 and 8, the
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How many three digit number satisfy the property that the middle digit is arithmetic mean of the first and the last digi
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If $$z = r{e^{i\theta }}$$, then arg(eiz) is
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If 4 dice are rolled, then the number of ways of getting the sum 10 is
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The measurement of the distance from point A(1, 2) parallel to the line 3x $$-$$ y = 10 to the line x + y + 5 = 0 is
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Let $$f(x) = {a_0} + {a_1}{x^2} + {a_2}{x^4} + {a_3}{x^6} + ... + {a_n}{x^{2n}}$$ be a polynomial in a real variable x w
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Given that $$f(x) = 2{x^3} + {x^4} + \log x$$ and assuming g to be the inverse function of f, compute the value of g'(3)
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A line passing through P(3, 7, 1) and R(2, 5, 7) meet the plane 3x + 2y + 11z $$-$$ 9 = 0 at Q. Then PQ is equal to
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$$\int {{{8{x^{43}} + 13{x^{38}}} \over {{{({x^{13}} + {x^5} + 1)}^4}}}dx} $$ equals to
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If $$a = - \widehat i + \widehat j + \widehat k$$ and $$b = 2\widehat i + \widehat k$$, then find z component of a vect
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Given that x, y, and z are three consecutive positive integers and x $$-$$ z + 2 = 0, what is the value of $${1 \over 2}
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The solution of differential equation $$(x{y^5} + 2y)dx - xdy = 0$$, is
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The solution set of $${{|x - 2|\, - 1} \over {|x - 2|\, - 2}} \le 0$$ is
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Let $$f(x) = {x \over {\sqrt {1 + {x^2}} }}$$, $$\underbrace {fofofo.....of(x)}_{x\,times}$$ is
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If $${\log _5}{{(a + b)} \over 3} = {{{{\log }_5}a + {{\log }_5}b} \over 2}$$, then $${{{a^4} + {b^4}} \over {{a^2}{b^2}
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The number of distinct solutions of the equation $${5 \over 4}{\cos ^2}2x + {\cos ^4}x + {\sin ^4}x + {\cos ^6}x = 2$$ i
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If the tangent at a point $$\left( {4\cos \phi ,{{16} \over {\sqrt {11} }}\sin \phi } \right)$$ to the ellipse $$16{x^2}
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The distance of point of intersection of the tangents to the parabola x = 4y $$-$$ y2 drawn at the points where it is me
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The value of the sum $$\sum\limits_{k = 1}^\infty {\sum\limits_{n = 1}^\infty {{k \over {{2^{n + k}}}}} } $$ is
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A curve passes through (2, 0) and the slope of the tangent at P(x, y) is equal to $${{{{(x + 1)}^2} + y - 3} \over {x +
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Consider matrix $$A = \left[ {\matrix{ 2 & 1 \cr 1 & 2 \cr } } \right]$$, if $${A^{ - 1}} = \alpha I + \beta
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Physics

Three solenoid coils of same dimensions, same number of turns and same number of layers of windings are taken. Coil 1 ha
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Three capacitors C1, C2 and C3 are connected as shown in the figure below. If capacitor C3 breaks down electrically, the
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A black body radiates energy at the rate E Wm$$-$$2 at high temperature TK. When the temperature is reduced to $$\left(
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The length of the rectangle is l = 15.2 cm and breadth is b = 2.9 cm and the minimum possible measurement by scale = 0.1
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In an adiabatic process, where pressure is decreased by $${3 \over 4}$$%, if $${{{C_p}} \over {{C_v}}} = {4 \over 3}$$,
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The vibrations of a string of length 60 cm fixed at both ends are represented by the equation $$y = 4\sin \left( {{{\pi
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A charge +q is placed at the origin O of XY-axes as shown in the figure. The work done in taking a charge Q from A to B
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Identify the hydrogen-like element whose spectral lines are four times shorter in wavelength compared to those of atomic
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Two small conducting spheres of equal radius have charges +20 $$\mu$$ C and $$-$$40 $$\mu$$C respectively and placed at
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A Carnot engine has the same efficiency between 600 K to 300 K and 1600 K to x K, then the value of x is
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A ball of mass 0.5 kg is thrown up with initial speed 16 ms$$-$$1 and reaches maximum height of 9 m. How much energy is
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In the circuit shown, if the 10 $$\Omega$$ resistor is replaced by a resistor of 15 $$\Omega$$, then what is the amount
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A time dependent force F = (8t) acts on a particle of mass 2 kg. If the particle starts from rest, the work done by the
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If L, R, C and V represent inductance, resistance, capacitance and potential difference respectively, then dimensions of
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The magnetic field of a beam emerging from a fitter facing a flood light is given by B = 10 $$\times$$ 10$$-$$8 sin(1 $$
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Based on the provided velocity-time graph for an object’s straight-line movement, determine the total distance covered a
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A thin equi-convex lens is made of glass of refractive index 1.5 and its focal length is 0.2 m. If it acts as a concave
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A moving coil galvanometer has a resistance of 60 $$\Omega$$ and it indicates full deflection on passing a current of 4.
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The combination of the gates shown in following figure yields
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A vessel contains one mole of O2 gas (molar mass 32) at a temperature T. The pressure of the gas is p. An identical vess
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The acceleration of a particle in m/s2 is given by a = (3t2 $$-$$ 2t + 1), where t is in second. If the particle starts
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The figure shows graphs of pressure (p) versus density (d) for an ideal gas at two temperatures T1 and T2, then
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Two spheres of the same material and same radii r are touching each other. The gravitational force between the spheres i
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A spherical lens of power $$-$$4D is placed at a distance of 15 cm from another spherical lens of power 5 D. A beam of p
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The wheel of a car, accelerated uniformly from rest, rotates through 5 radians during the first second. The angle (in ra
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Lights of two different frequencies whose photons have energies 1.5 eV and 2.5 eV respectively illuminate a metallic sur
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When a body is dropped from a height h, then it hits the ground with a momentum p. If the same body is dropped from a he
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The reading of the ammeter for a germanium diode in the given circuit is
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The decay constants of two radioactive substances X and Y are 4$$\lambda$$ and $$\lambda$$ respectively. At t = 0, a sam
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What is the magnitude of the force experienced per unit length by a thin wire that carries a current of I = 10 A and is
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A long cylindrical iron core of cross-sectional area 5 cm2 is inserted into a long solenoid having 4000 turns/meter and
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A plane requires for take off a speed of 72 kmh$$-$$1, the run on the ground being 50 m. The mass of the plane is 10000
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Given that in a fluorescent lamp's choke, a reverse voltage of 120 V is generated as the choke's current changes steadil
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If a man becomes a giant, expanding his linear dimensions by a factor of eight, and assuming his density remains unchang
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When 2 moles of a monoatomic gas are mixed with 3 moles of a diatomic gas, the value of adiabatic exponent for the mixtu
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A simple pendulum is placed inside a lift, the lift is moving with a uniform acceleration. If the time periods of the pe
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A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by
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In the circuit shown in figure, the AC source has angular frequency $$\omega$$ = 2000 rad s$$-$$1. The amplitude of the
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The work done by a force acting on a body is as shown in the following graph. The total work done in covering an initial
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A potentiometer wire, 10 m long, has a resistance of 40$$\Omega$$. It is connected in series with a resistance box and a
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