D E C E M B E R 2 0 10 #173 1 Vol: Fill & Download for Free

Hey!So yesterday only, I was searching for questions asked in BITSAT on 16th, so, I know about that curiosity to know the type of questions asked in the exam. Here I am to give you a list of questions that were asked in mine.PHYSICS:-A simple question on emf induced where length of airplane wing(l), velocity(V), magnetic field(B) and angle b/w ‘B’ and ‘l ’ was given. Formula used : E = (V X B). LCharge on positive plate(q) and capacitance(c) were given and we had to find the potential difference(Δv). Formula used : Δv=q/cWhen an electron moves negative plate to positive plate in a capacitor, gain in KE was asked. Electric field intensity(E) and separation b/w plates(d) were given. Formula used: eΔv=ΔKE and Δv=E*lFormula for potential at the centre of thin spherical shell was asked. Ans: Q/(4*π*ε*R).One question on rotational mechanics. Mainly we had to find torque and eventually angular acceleration(α) and use the formula (ωf=ωi + αΔt) to find time taken. ωf and ωi were given.You and a car are moving at 6 m/s. You suddenly jump inside the car. What will be the final velocity of the car? Ans: 6m/s (momentum conservation).A person moves a block on a horizontal surface. Work done by gravity?Ans: 0A bucket of water of mass ‘m’ is rotated in vertical circular motion with constant speed. Water doesn’t fall on the topmost point. Velocity? Formula used: mg= mv^2/r.Dimensional formula for epsilon? Ans: M^-1 L^-3 T^4 A^2.No. of significant figures in 8.0025.For a particular frequency, photons have same: momentum and energy.For ohmic devices, dependency of ρ(rho) on eletric field? Ans: E= ρ*j , so ρ∝E.For a wave, phase difference b/w two particles at a distance of λ/2 from each other. Ans: ΔΦ=2π/λ * Δx where Δx is given as λ/2 .A hole is made in a material and temperature raised by 1°C, new radius? Given temp coefficient for volumetric expansion as γ. Ans: 2*π*r’= 2*π*r(1 + γ/3(ΔT)).Car+Man going up an incline at angle θ with constant velocity ‘v’, what is power delivered ? Ans: P=F*v, F=mg*sinθ.A charge(given) is dropped from spaceship on moon surface. Another charge(given) is stuck on spaceship. After it hits falls on the moon surface, electrostatic force b/w the two was given. We had to find the altitude at which the spaceship was from moon surface. Formula used: F=k*q1*q2/r^2 and find r.There was a question on damped oscillations.( I don’t remember this one :P)Total energy of a simple harmonic oscillator is ? Ans: Constant.Equation for force was given as a function of x. So we had to find change in KE for x=1 to x=4. Formula used: ∫f(x)dx = ΔKE.Car is moving on road and enters into a sandy region. First the left front wheel enters into the region, what will happen? Ans: Car will turn left.Two balls hit a rod(at rest) at a distance of 0.025 m from the the centre with two different velocities(given). We had to find translational and rotational velocity of rod after collision(mass of rod given). Concept used: Conservation of linear and angular momentum.Energy of an eletron in nth shell of hydrogen is proportional to ? Ans: 1/n^2.Total ‘X’(given) energy was provided. Only 50% of it was utilized and enthalpy of evaporation of H2O was given(let Y). What mass of H2O can be converted into vapour? Ans: X/2 = n*Y, and mass=18*n.A loop carrying current I is kept in x-y plane and magnetic field is along z-axis. Force and Torque is? Ans: Both 0.Surprisingly, both on 16th and 17th may, there were no questions on semiconductors or communication systems. (Thank God! Phew!)CHEMISTRY:-For fcc/ccp, radius was given and we had to find edge length. Formula used: √2 a = 4*r.Which colloid is not possible? Ans: Gas in gas.Two solutions have same osmotic pressure. Concentration for one was given and we had to find the same for the other one. Formula used: π=C*R*T.Standard Gibbs free energy was given and we had to give the expression for K(as you can’t calculate antilog without antilog table). Formula used: ΔG°=-R*T*ln(k).There was a question on ozonolysis. (I don’t remember it exactly)1 or 2 questions on s-block.Cis and Trans but-2-ene on bromination give ? Ans: Racemic and Meso compounds respectively.There was one question on P-block. Options contained bond angles for different compounds. We had to find incorrect option. Ans: Bond angle for Ph3 is 109.7°.(It is 90° btw).What are arrhenius parameters? Ans: I am a bit confused in this one. (a) A and Ea; (b) A and e^-Ea/RT; (c) A and K.Given mass of NH3, we had to find mass of h2 utilized. Ans: Use the rxn N2 + 3H2 -> 2NH3.A solution had two components (A and B) both equimolar. Pa° and Pb° were given. We had to find mole fraction of B in vapour phase. Ans: Xa=Xb=1/2(in liquid phase); Yb/(1-Yb)=(Pb°/Pa°)*Xb/1-Xb.Strength of glucose solution given. Calculate molarity.Ka of an acid was given. Now two separate solutions(of same volume) were prepared with different [H3O+] (concentrations were given). After mixing two solutions what will be [H3O+]? Ans: I am not sure but I solved using M=M1*V1 + M2*V2/V1+V2.H2(g) + I2(g) ⇌ 2HI(g). Write cell representation.(Didn’t attempt as I was doubtful)How is fullerene manufactured?There was one question on DDT(didn’t attempt).See the figure below. What are these? Ans: Confirmational diastereomers.I would like to add here that there were some inorganic questions that just went over my head. So, I would recommend to go through NCERT corners and crevices for inorganic.MATHEMATICS:-There are 20 cards out of which 10 are labelled as ‘I’ and rest as ‘T’. Three are drawn without replacement. What is probability of forming ‘IIT’? Ans: 10/20 * 9/19 * 10/18.There was a 3° function. Maximum value of that function was asked. Ans: Find critical points by f’(x)=0 and then check which value of x gives least value for f’’(x).n(n+1)(n+2) where n∈N, is always divisible by (a)3 (b)12 (c)4 ? Ans: 3There was 1 question from solution of Δs chapter.2–3 questions on differential equation. I remember one of them:- dy/dx=sin^2(x-y). Find solution. Ans: Let x-y=t and proceed.∫sin^4(x) cos^2(x), limits 0->π/2. Ans: π/32.Lpp question: Find max value of Z=5/2(x)+y; Constraints: x,y>=0, 5x+2y<=10, 3x+5y<=15. Ans: 5(x-5)/(x+2)>0. X=? Ans: (-∞,-2)U(5,∞). Use wavey-curvey method.We had to find image of a given point about a given line.Two straight line equations were given. We had to find acute angle b/w them. Ans: Find slope for both and use formula tanθ=m1-m2/1+m1m2.tan^-1(w)+tan^-1(x)+tan^-1(y)+tan^-1(z)= ? (w,x,y and z were given) Ans: Use formula tan^-1(x)+tan^-1(y)=tan^-1(x+y/1-xy)There was an easy question on trigonometry, and one on continuity and differentiability.Foot of perpendicular from origin on a plane is (a,b,c). Find equation of plane. Ans: Now eqn of plane is (r-x).n=0. So here x=n=ai +bj+ ck. Hence eqn is ax+ by+ cz=a^2+ b^2+ c^2.1 +( -1/2 + i( √3/2 ) )^31 -( -1/2 + i( √3/2 ) )= ? Ans: ( -1/2 + i(√3/2))=ω. So w^31=w. So 1+ω-ω=1.∫( x^{e-1} + e^{x-1} )/( x^e + e^x ) dx= ? Ans: Take x^e + e^x = t(let) and solve.You are at origin and you can move only 1 unit in 1 step in +ve or -ve direction of x or y or z axis. Find probability after 3 steps, you are at a point where all coordinates are same. Ans: To take 1 step you have 6 ways. So total no. of outcomes are 6*6*6. Further, favourable outcomes are (1,1,1) or (-1,-1,-1). Now, for (1,1,1) there are 3! ways. So the ans will be 3!*2/6^3 = 1/18.Probability of A speaking truth and B speaking truth were given. Probability that they disagree on a matter.Two cards were drawn from deck with replacement. Probability distribution table for X=no. of aces was made. P(x=2) =? Ans: 4/52 * 4/52.There are 20 points out of which 10 are collinear. Find no. of lines that can be made by joining points. Ans: C(20,2) - C(10,2) +1.F(x) is an odd function. What is the correct statement?(a) for (-b,b), f'(c)=f(b)/b for some c∈(-b,b);(b) for (-b,b), f'(c)=f(2b)/b for some c∈(-b,b);(c) for (-b,b), f'(c)=f(b)/2b for some c∈(-b,b);(d) for (-b,b), f'(c)≠f(b)/b;Ans: Use lagrange’s theorem.ENGLISH AND LOGICAL REASONING:-I don’t remember the questions but they were very similar to the ones in the Arihant BITSAT book. There were 2–3 synonym questions btw.So at last, I would say do your best and don’t prejudge your bitsat score according to other tests.I managed to get a decent score of 301 but you can do better! You can do this!I hope this helps!(This took a lot of time so an upvote will be appreciated :) )Cheers!Edit:Thanks to Anindya Mahajan & Gadangi Nitish for pointing out the mistake in my answer to Maths Question 16.

Use .iloc and a 2-d slice. Here’s an example with a 20 x 20 DataFrame:>>> import pandas as pd >>> data = pd.read_csv('foo.csv', header=None) >>> data.head(1)  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 A B C D E F G H I J K L M N O P Q R S T >>> data.iloc[:10, :10]  0 1 2 3 4 5 6 7 8 9 0 A B C D E F G H I J 1 A B C D E F G H I J 2 A B C D E F G H I J 3 A B C D E F G H I J 4 A B C D E F G H I J 5 A B C D E F G H I J 6 A B C D E F G H I J 7 A B C D E F G H I J 8 A B C D E F G H I J 9 A B C D E F G H I J 

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