Questions asked by Sameer Sharma

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• Please explain the following example given in the snapshot below?
  
• The wave function of an orbital of H-Atom is given by: #psi=((sqrt q)/(81 sqrt pi))(1/a_0)^(3/2)(6-r/a_0)(r/a_0)e^(-r/(3a_0) )* sin theta sin phi# Then find the orbital ?
  
• A photon having #lambda = 854*10^(-10) m# causes the ionization of a nitrogen atom. Give the I.E. per mole of nitrogen in KJ?
  
• In a compound #FeCl_2#, the orbital angular momentum of the last electron in its cation and magnetic moment (in Bohr Magneton ) of this compound is?
  
• The energy required for the excitation of H atom its ground state to the 2nd excited state is 2.67 times smaller than the dissociation energy of #H_2(g)#. If #H_2# placed in 1.0 L flask at #27^@ C# and 1.0 bar is ......continued.... ?
  
• 1.8 grams of atoms of hydrogen are excited to radiations. the study of spectra indicates that 27% of atoms are in the third energy level and 15% of atoms ate in the second energy level and rest in the ground state. If the I.P. of H is #21.7*10^(-12)#erg?
  
• #Q.1# Calculate the frequency of #e^-# in the first Bohr orbit of H-atom?
  
• A stationary #He^+# ion emitted a photon corresponding to a first line of the Lyman series. The photon liberated a photoelectron from a stationary H atom in the ground state. What is the velocity of the photoelectron?
  
• Q.1. What is the De-Broglie wavelength of He atom in a container at room temperature? Use #u_(avg) = sqrt((8k_BT)/(pi m))#
  
• A bird moves from a point (1,-2,3) to (4,2,3).If the speed of the bird is 10 m/s, then the velocity vector of the bird is?
  
• The number of positive integral solutions of the in-equation #(x^2(3x-4)^3(x-2)^4)/((x-5)^5(2x-7)^6)<=0# is ?
  
• If the roots of the quadratic equation # ax^2+bx+c=0# are imaginary then for all values of #a,b,c# and #x in R# then the nature of expression #a^2x^2+abx+ac# is?
  
• If #alpha != beta, alpha^2= 5alpha - 3, beta^2= 5beta-3# then the quation whose roots are #alpha/beta & beta/alpha# is ?
  
• If #alpha, beta# are the roots of the equation#x^2-3x+1=0# then the equation whose roots are #1/(alpha-2) , 1/ (beta-2)# will be?
  
• #Q.1# If #alpha,beta# are the roots of the equation #x^2-2x+3=0# obtain the equation whose roots are #alpha^3-3 alpha^2+5 alpha -2# and #beta^3-beta^2+beta+5#?
  
• Show that if #p,q,r,s# are real number and #pr=2(q+s)# then at-least one of the equations #x^2+px+q=0# and #x^2+rx+s=0# has real roots?
  
• #Q.1# Find the values of K so that the quadratic equation#x^2+2(K+1)x+K+5=0# has at least one positive root.?
  
• If #alpha,beta# are the roots of equation #x^2-px+q=0# then find the quadratic equation the roots of which are #(alpha^2-beta^2)(alpha^3-beta^3) & alpha^3 beta^2+ alpha^2 beta^3#?
  
• If one root of the quadratic equation #ax^2+bx+c=0# is equal to #n^(th)# power of the other, then show that : #(ac^n)^(1/(n+1))+(a^n c)^(1/(n+1)) + b=0#?
  
• A neutron breaks into a proton and an electron. This decay of neutron is accompanied by the release of energy.Assuming that 50% of the energy is produced in the form of electromagnetic radiation, what will be the frequency of radiation produced.?
  
• He atom can be excited to #1s^1 2p^1# by #lambda=58.44 nm#. If lowest excited state for He lies #4857 cm^(-1)# below the above. Calculate the energy for lower excitation state?
  
• A river is flowing with the velocity of 5Km/hr as shown in the figure. A boat starts from A and reaches the other bank by covering the shortest possible distance. If the velocity of the boat is 3km/hr in still water then distance boat covers is?
  
• Please explain the given formula for acceleration and how it derived??
  
• A small ball is projected up a smooth inclined plane with initial speed of 10m/s along the direction at #30 ^@# to the bottom edge of the slope. It returns to the edge after 2 sec. The ball is in contact with the inclined plane throughout the process.?
  
• How many straight lines passing through (2,3) form a triangle with coordinate axes, whose area is 12 sq. units?
  
• Three vertices of triangle ABC are A(-1 ,1 ), B (-9,-8) and C (15,-2) then the equation of angle bisector of angle A is?
  
• The line 3x+2y=6 will divide the quadrilateral formed by the lines #x+y=5 , y-2x=8 , 3y+2x=0 , 4y-x=0# in?
  
• The coordinates of a point P on the line 2x - y + 5 = 0 such that #|PA - PB|# is maximum, where A is (4,-2) and B is (2, -4) will be:?
  
• Element #A# in a compound ABD has oxidation number #A^(n-)# .It is oxidised by #Cr_2O_7^(2-)# in acid medium. In an experiment #1.68*10^-3# moles of #K_2Cr_2O_7# were used for #3.36*10^(-3)# moles of ABD. the new oxidation number of A after oxidation is?
  
• The number of Solutions in #[0,2pi]# such that #(Sin (2x))^4 = 1/8# is?
  
• How many positive real number X Satisfy the given equation:?
  
• Why is aromatic effect is more stable than resonance effect or mesomeric effect?
  
• When a source of sound of frequency 600 Hz moves with velocity 30 m/s towards a stationary observe, the apparent wavelength is λ. If the same source is kept stationary and the observer is moved with same velocity 30 m/s towards the source,........?
  
• What is correct for an ideal gas undergoing reversible adiabatic expansion regarding temperature –?
  
• If #2x^2 – 3xy + y^2 + x + 2y – 7 = 0#, then #dy/dx# is equal to –?
  
• I am facing problems in recognizing the Question in Calculus as given in description ?
  
• Please can you solve the problem on an equation in the real number system given in the image below and also tell the sequence to tackle such problems.?