Questions asked by Rutik Tupe
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The value of lim_(x -> 2) ([2 - x] + [x - 2] - x) = ? (where [.] denotes greatest integer function)
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How do you solve lim_(n->oo) (3^n + 5^n + 7^n)^(1/n) = ?
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Two satellites of masses 'M' and 'm' respectively, revolves around the Earth in same circular orbit. The satellite with mass 'M' is far ahead from the another satellite, then how can it be overtaken by another satellite??
Given, M>m & their speed is same
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If y = tan^-1((ax - b)/(bx + a)). Then how will you prove that dy/dx = 1/(1 + x^2)??
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If sqrt(1 - x^2) + sqrt(1 - y^2) = a(x - y). Then how will you prove that dy/dx = sqrt[(1 - y^2)/(1 - x^2)]??
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If xsqrt(1 + y) + ysqrt(1 + x) = 0. Then how will you prove that dy/dx = -1/(1 + x)^2??
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If siny = xsin(a + y). Then how will you prove that dy/dx = (sin^2(a + y))/sina??
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If x^m * y^n = (x + y)^(m + n). Then how will you prove that dy/dx = y/x??
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What will be the area of shaded region (grey colored) if the given figure is square of side 6cm?
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A ladder 5m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4m away from the wall??
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Find the equation of normal at the point (am^2, am^3) for the curve ay^3 = x^3?
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Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 = 1?
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Using differentials, find approximate value of (0.009)^(1/3)?
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220 V AC voltage is supplied to a circuit consisting of a resistance of 4 Omega and inductive reactance of 3 Omega. Find the current and power factor in the circuit?
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Voltage input in a circuit is V = 300sin(omegat) with current I = 100cos(omegat). Average power loss in the circuit is??
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Emf applied and current in an A.C circuit are E = 10sqrt(2)sin(omegat) volt and I = 5sqrt(2)cos(omegat) ampere respectively. Average power loss in the circuit is??
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The spin only magnetic moment value (in Bohr magneton units) of Cr(CO)_"6" is?
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The color of light absorbed by an aqueous solution of CuSO_"4" is??
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If excess of AgNO_"3" solution is added to 100 ml of 0.024 M solution of dichlorobis (ethylene diamine) cobalt (III) chloride, how many moles of AgCl will be precipitated??
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Effective atomic number of Fe in Fe_"2"(CO)_"9" is ??
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d(cos^-1 sqrtcosx)/dx equals ??
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Why transition elements show tendency to form large number of complexes??
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Explain the meaning of inner transition series?
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Explain: the compounds of copper (II) are colored but those of zinc are colorless?
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Explain why Gd^(3+) is colorless?
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If the function f(x) = (1 - x)tan(pix/2) is continuous at x = 1, then f(1) is ??
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If f(x) is derivable at x = a, then lim_"x rarr a"(xf(a) - af(x))/(x - a) is ??
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If f(x) = cosx * cos2x * cos4x * cos8x * cos16x then f'(pi/4) is ??
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If x = e^(y + e(y + e^(y + ..... oo) then dy/dx is ??
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How to solve this integral ??
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int(x^3/(x + 2)) equals ??
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How to integrate the following ??
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How to integrate the following ??
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How to integrate the following ??
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How to solve the following ??
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Solve the following ??
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How to solve the following ??
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How to solve the following ?
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The de - Broglie wavelength of a proton accelerated by 400 V is ??
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The momentum of a proton having energy equal to the rest energy of an electron is ??
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The de - Broglie wavelength of a neutron at 27^@C is lambda. What will be its wavelength at 927^@C ??
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An electron and a photon have same wavelength lambda, what is the ratio of their kinetic energies ??
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An oil drop having charge q and apparent weight W falls with a terminal speed v in the absence of electric field. When electric field is switched on it starts moving up with terminal speed v. The strength of the electric field is ??
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A body is moving along a straight line by a machine delivering constant power. The distance covered by the body in time t is proportional to t^n, then n is ??
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A 2.2 kg block starts from rest on a rough inclined plane that makes an angle 25^@ with the horizontal. The coefficient of kinetic friction is 0.25. As the block goes 2 m down the plane, the mechanical energy of the Earth-block system changes by ?
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A tennis ball is thrown from a height h above the ground. If the coefficient of restitution e, what height will the ball achieve after the third collision ??
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How to solve this ??
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The gravitational potential difference between the surface of a planet and a point 20m above is 16J/kg. The work done in moving a 2kg mass by 8m on a slope of 60^@ from the horizontal is ??
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Two satellites P_"1" and P_"2" are revolving in orbits of radii R and 4R. The ratio of maximum and minimum angular velocities of the line joining P_"1" and P_"2" is ??
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If the earth were to suddenly contract to(1/n)th of its present radius without any change in its mass, the duration of the new day will be nearly (in hours) ??
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In DeltaAB prove that, a^3sin(B - C) + b^3sin(C - A) + c^3sin(A - B) = 0 ??
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How to solve this ??