Questions asked by Rutik Tupe

• Back to user's profile
• The value of #lim_(x -> 2) ([2 - x] + [x - 2] - x) = #? (where [.] denotes greatest integer function)
  
• How do you solve #lim_(n->oo) (3^n + 5^n + 7^n)^(1/n) = #?
  
• 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
  
• If #y = tan^-1((ax - b)/(bx + a))#. Then how will you prove that #dy/dx = 1/(1 + x^2)#??
  
• 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)]#??
  
• If #xsqrt(1 + y) + ysqrt(1 + x) = 0#. Then how will you prove that #dy/dx = -1/(1 + x)^2#??
  
• If #siny = xsin(a + y)#. Then how will you prove that #dy/dx = (sin^2(a + y))/sina#??
  
• If #x^m * y^n = (x + y)^(m + n)#. Then how will you prove that #dy/dx = y/x#??
  
• What will be the area of shaded region (grey colored) if the given figure is square of side 6cm?
  
• 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??
  
• Find the equation of normal at the point #(am^2, am^3)# for the curve #ay^3 = x^3#?
  
• Prove that the curves #x = y^2# and #xy = k# cut at right angles if #8k^2 = 1#?
  
• Using differentials, find approximate value of #(0.009)^(1/3)#?
  
• 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?
  
• Voltage input in a circuit is #V = 300sin(omegat)# with current #I = 100cos(omegat)#. Average power loss in the circuit is??
  
• 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??
  
• The spin only magnetic moment value (in Bohr magneton units) of #Cr(CO)_"6"# is?
  
• The color of light absorbed by an aqueous solution of #CuSO_"4"# is??
  
• 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??
  
• Effective atomic number of #Fe# in #Fe_"2"(CO)_"9"# is ??
  
• #d(cos^-1 sqrtcosx)/dx# equals ??
  
• Why transition elements show tendency to form large number of complexes??
  
• Explain the meaning of inner transition series?
  
• Explain: the compounds of copper (II) are colored but those of zinc are colorless?
  
• Explain why #Gd^(3+)# is colorless?
  
• If the function #f(x) = (1 - x)tan(pix/2)# is continuous at #x = 1#, then #f(1)# is ??
  
• If #f(x)# is derivable at #x = a#, then #lim_"x rarr a"(xf(a) - af(x))/(x - a)# is ??
  
• If #f(x) = cosx * cos2x * cos4x * cos8x * cos16x# then #f'(pi/4)# is ??
  
• If #x = e^(y + e(y + e^(y + ..... oo)# then #dy/dx# is ??
  
• How to solve this integral ??
  
• #int(x^3/(x + 2))# equals ??
  
• How to integrate the following ??
  
• How to integrate the following ??
  
• How to integrate the following ??
  
• How to solve the following ??
  
• Solve the following ??
  
• How to solve the following ??
  
• How to solve the following ?
  
• The de - Broglie wavelength of a proton accelerated by #400 V# is ??
  
• The momentum of a proton having energy equal to the rest energy of an electron is ??
  
• The de - Broglie wavelength of a neutron at #27^@C# is #lambda#. What will be its wavelength at #927^@C# ??
  
• An electron and a photon have same wavelength #lambda#, what is the ratio of their kinetic energies ??
  
• 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 ??
  
• 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 ??
  
• 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 ?
  
• 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 ??
  
• How to solve this ??
  
• 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 ??
  
• 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 ??
  
• 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) ??
  
• In #DeltaAB# prove that, #a^3sin(B - C) + b^3sin(C - A) + c^3sin(A - B) = 0# ??
  
• How to solve this ??