Questions asked by Soumalya Pramanik

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• Is #sqrt3 = -sqrt3# ?
  
• The energy required to break one mole of Cl - Cl bond is #"242 kJ/mol"#. What is the longest wavelength of light capable of breaking a single Cl - Cl bond? (take #c = 3 xx 10^8# #"m/s"# and #N = 6.022 xx 10^23# #"mol"^(-1)#)
  
• A 600W mercury lamp emits monochromatic radiation of wavelength 331.3 nm. How many photons are emitted from the lamp per second?
  
• A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emission is at 680 nm, the other is at - i) 1035 nm ii) 325 nm iii) 743 nm iv) 518 nm?
  
• A gas is found to have a density of #"1.80 g/L"# at #"76 cm Hg"# and #27^@ "C"#. The gas is?
  
• Prove the postulate below?
  
• Small amounts of NH3 and HCl(g) are released simultaneously at the opposite ends of a 2 metres long tube. At what point the formation of NH4Cl would start? (Either end of the tube can be used to tell the answer.)
  
• What is the square root of #sqrt((y^2 - z^2)(z^2 - x^2)) + sqrt((z^2 - x^2)(x^2 - y^2)) + sqrt((x^2 - y^2)(y^2 - z^2))#?
  
• If x > y then prove that #sqrt(y + sqrt(2xy - x^2)) + sqrt(y - sqrt(2xy - x^2)) = sqrt(2x)#?
  
• Show that #10^logx = x# ?
  
• If the length of the equal two sides of a isosceles triangle is 20 cm and the angle between those two sides is 45 degrees, then what is the area of the triangle?
  
• Present Value of a printing machine is Rs 1,80,000 (Indian Currency, 1 Rs = 100 paisa) Value of the machine depreciated at the rate of the machine after 34 years?
  
• A particle is thrown over a triangle from one end of a horizontal base and grazing the vertex falls at the other end of the base. If #alpha# and #beta# be the base angles and #theta# is the angle of projection, Prove that #tan theta=tan alpha+ tan beta#?
  
• A jeep chases a thief with a constant velocity #v#. When the jeep is at distance d from the thief, he starts to run with a constant acceleration #a#. Show that the police will be able to catch the thief when #v >= sqrt(2ad)#?
  
• What will be the condition of no collision between the two trains?
  
• What will be the condition of no collision with the second train?
  
• A body at rest starts sliding from top of a smooth inclined plane and requires 4 seconds to reach bottom. How much time does it take, starting from rest at top, to cover one-fourth of a distance?
  
• In how many ways can the letters of the word "PERMUTATIONS" be arranged so that there are always 4 letters between 'P' and 'S'?
  
• Two masses of 10 kg and 5 kg are suspended from a fixed support. The system is pulled with a force of 150 N to the lower mass. The string breaks off. What is the tension in the string between the masses if the force stops acting at that moment?
  
• An insect of mass 'm' is initially at one end of a stick of length 'l' and mass 'M'.The coefficient of friction between the insect and the stick is 'k'. The minimum time in which the insect can reach the other end of the stick is 't', then #t^2#?
  
• #lim_(x rarr 4) (3 - sqrt(5 + x))/(1- sqrt(5 - x)) = ?#
  
• If #sin alpha = 4/5# and #cos beta = 4/5#, So which of the following is true? (Options Below)
  
• How to Prove this? If #a + b + c = 0#, Then Show that, #a^2 - bc = b^2 - ca = c^2 - ab#.
  
• Is there any way to insert graph in comments?