Chapter 12 Forces And Motion Calculating Acceleration: Fill & Download for Free

As per my experience It is very easy to score 80+marks in jee main 2021 physics exam. and i am quite confident for my answer since I had also scored very well in jee main 2020 january exam physics.Let me show you my result -👉You should start the syllabus by the following order ( based on the high weightage of marks and easy topic to tough ) -NOTE - HIGH WEIGHTAGED TOPICS OF A CHAPTER IS MENTIONED IN THE BRACKET.1.ELECTROSTATICS(coulomb's law, electric force, electric field, gauss law, electric dipole)2.GRAVITATION (law of gravitation, gravitational field, variation in acceleration due to gravity, kepler’s law, satellite motion(time period, kinetic energy, potential energy) ,motion of a object in a tunnel through earth)3.ELECTRICITY (circuit analysis, Kirchhoff law, calculation of equivalent resistance, concept of balanced wheat stone bridge, meter bridge, potentiometer )4.CAPACITANCE (calculation of equivalent capacitance, redistribution of charge and loss of energy, various effects of dielectrics)5.MODERN PHYSICS -1 (photoelectric effect, de broglie wavelength, bohr model of atom, spectral series of hydrogen atom, x-rays)6.MODERN PHYSICS -2 (concept of binding energy and binding energy per nucleon, laws of radioactive decay)7.CALORIMETRY, ELASTICITY AND THERMAL EXPANSION8.HEAT TRANSFER (equation of thermal conduction, Stefan's law, newton law of cooling)9.THERMODYNAMICS (ktg, work done by various process, Cp and Cv, carnot cycle, heat engine)10.FLUID MECHANICS (archimedes principle, equation of continuity, bernoulli's equation, surface tension)11.SEMICONDUCTORS (numerical on circuits with zener diode, logic gates, transistors)12.PRINCIPLES OF COMMUNICATION SYSTEM (space wave propagation, modulation index , amplitude modulation)13. ERROR ANALYSIS (vernier callipers, screw gauge, rounding off digits)14.UNIT AND DIMENSION +KINEMATICS (finding the dimensions of a unknown, 1D motion, vertical motion under gravity, graphs based on 1D motion, projectile motion, river boat problem)15.NLM AND FRICTION (fbd, motion of bodies in contact, system of masses connected by strings, pulley systems, constraint relation, coefficient of friction, two block problem, concept of transition from static friction to kinetic friction)16.CIRCULAR MOTION (kinematics of circular motion, dynamics of circular motion)17.WORK ENERGY AND POWER (work done by a force , work energy theorem, potential energy curve and equilibrium, circular motion in vertical plane)18.CENTRE OF MASS (calculation of centre of mass, linear momentum conservation, collision problems)19.ROTATIONAL MECHANICS (calculation of moment of inertia of a body about an axis, rotational equilibrium and torque balancing, angular momentum conservationconservation)20.SIMPLE HARMONICA MOTION (kinematics in shm, energy in shm, time period calculation,21.MAGNETIC EFFECT OF CURRENT (biot-savart law, calculation of magnetic field, motion of a charged particle in a magnetic field, magnetic effect between two current carrying wire, movin coil galvanometer)22.MAGNETISM AND MATTER (bar magnet, earth magnetism, types of magnetic material)23.ELECTROMAGNETIC INDUCTION (EMI) (magnetic flux , faraday law, Lenz’s law , induced emf, motional emf, LC circuit)24.ALTERNATING CURRENT (average and rms value of current, impedance, LR circuit, RC circuit, RLC circuit, power in ac circuit)25.GEOMETRICAL OPTICS (mirror formula, lens formula, prism, simple microscope, compound microscope, defects in eyes)26.WAVE ON STRING AND SOUND WAVE (different properties of wave and parameter in wave motion equations , speed of sound wave, longitudinal standing wave, doppler effect in sound)27.WAVE OPTICS AND ELECTROMAGNETIC WAVES (young's double slit experiment, displacement of fringe pattern, intensity variation on screen, interference at thin film, malus law, brewster's law , diffraction, limit of resolution, fraunhofer diffraction)Key point :👉.If you give 20 hours to each chapter (10hr for theory reading and conceptual building + 10 hr question solving from each topic ) then it will take only 4 month (5 hour daily study of physics )to cover the entire physics syllabus properly.👉.PRACTICE AT LEAST 10 PREVIOUS YEAR PHYSICS PAPER IN TIME BOUNDED MANNER, LIKE TRY TO DO THE WHOLE PAPER IN 50 MIN ONLY.👑👑IF YOU SINCERELY FOLLOW THE ABOVE PROCESS DEFINITELY YOU WILL DO 22+ COORECT QUESTION .✌✌✌✌✌✌✌I had given my precious 2 hours in writing this answer, so I will be happy if some of you follow and score well.

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.

Chapter 8 : Motion1. Derivation of unit of acceleration2. Derivation of three equations of motion by graphical as well as mathematical method(a). v= u+at(b). s =ut +1/2 at^2(c). 2as = v^2 - u^2Chapter 9 : Force and laws of motion1. Derivation of second law of motion i.e F =ma2. Derive first law pf motion through second law of motion.3. Derive third law of motion through second law.4. Conservation of momentum 's derivation.Chapter 10 : Gravitation1.Universal law of gravitation2. Unit of gravitational law3. Prove that f =mg4. Derive W = m×gChapter 11 : Work and energy1. Derivation of kinetic energy2. Derivation of potential energy3. Derivation of conservation of energy4. Commercial unit of energy.Chapter 12 : SoundFrequencyRelationship between velocity, frequency and wavelength of a waveCalculation of minimum distance to hear an echo