Physics Formulas for JEE Mains: Check Details Here
Physics Formulas for JEE Mains: The JEE Main Session 2 will be held on April 06, 08, 10, 11, and 12, 2023. Preparing for JEE Mains includes various aspects. Memorising formulas for Physics, Chemistry and Mathematics is crucial to scoring well. Candidates use formulas to solve numerous problems asked in the JEE Mains question paper. This article provides essential Physics formulas for JEE Mains to help candidates improve their preparation skills for the exam.
The National Testing Agency (NTA) will conduct JEE Main 2023 in two phases. The first phase was conducted from January 24 to February 01, 2023. Both papers 1 and 2 will be conducted online for 3 hours. Keep reading to get more information on JEE Main Physics.
The following are the formulas covered in Center of Mass:
The Center of Mass along the x-axis is XCM=(1/M)i=1nmixi where M is the total mass
The Center of Mass along the y-axis is YCM=(1/M)i=1nmiyi where M is the total mass
The Center of Mass along the z-axis is ZCM=(1/M)i=1nmizi where M is the total mass
The Center of Mass for Continuous Distribution is RCM=(1/M)r dm
If the total mass is M and a small part of mass m is removed then the Center of Mass is given by XCM=(Mx-m)/(M-m), YCM=(My-m)/(M-m) and ZCM=(Mz-m)/(M-m)
The Center of Mass when the object is moving with some velocity is vCM=(1/M)i=1nmivi
The Center of Mass when the object is moving with some acceleration is aCM=(1/M)i=1nmiai
Coefficient of Restitution is e=(v2-v1)(u1-u2)
Law of Conservation of Linear Momentum: i=1nmiui=j=1nmjvj
Loss of Kinetic Energy in inelastic collision is K=(1/2M)[ m1m2(1-e2)(u1-u2)2 ]
Law of Conservation of Linear Momentum for Oblique Collision is i=1nmiui=j=1nmjvj
Thrust Force on a Rocket is vr(-dm/dt)
Velocity of a Rocket at any time is v=u-gt+v1(m0/m)
Physics Formulas for JEE Mains: Rotational Motion
Candidates can refer to the below information to know the formulas covered in Rotational Motion:
Angular Momentum L=rp=I where I is the Moment of Inertia
Torque =rF=dL/dt
Rotational Kinetic Energy K=I2/2=L2/2I
Rotational Power P=
Equations of Motion are =0+t, =0t+t2/2 and 2=02+2
The nth angular displacement is n-n-1=0+(2n-1)/2
Moment of Inertia I=i=1nmiri2 in discrete case and I=r2 dm
Radius of Gyration is k=I/M
Parallel Axis Theorem Iaxis=ICM+Md2
Perpendicular Axis Theorem Iz=Ix+Iy
Moment of Inertia of some common objects –
Rod of mass M and length L along its center I=ML2/12
Rod of mass M and length L along its corner I=ML2/3
Rectangular Lamina of mass M, length L and width W along its width I=ML2/12
Rectangular Lamina of mass M, length L and width W along its length I=MW2/12
Rectangular Lamina of mass M, length L and width W along its center I=M(L2+W2)/12
Ring of radius R along a normal to the plane passing through the center I=MR2
Disc of radius R along a normal to the plane passing through the center I=MR2/2
Circular Hollow Disc of inner radius r and outer radius R along a normal to the plane passing through the center I=M(r2+R2)/2
Hollow Cylinder of radius R along its length passing through the center I=MR2
Hollow Cylinder of length L and radius R along the normal to its length and passing through the center I=M(L2+6R2)/12
Solid Cylinder of radius R along its length I=MR2/2
Solid Cylinder of length L and radius R along the normal to its length and passing through the center I=M(L2+3R2)/12
Hollow Sphere of radius R along its center I=2MR2/3
Solid Sphere of radius R along its center I=2MR2/5
Total Kinetic Energy of Rolling Motion is K=[ mvCM2+I2 ]/2
Total Angular Momentum of Rolling Motion is L=mvCMR+I
Pure Rolling without slipping on stationary surface –
vCM=R and aCM=R
Forward Slipping happens when vCm>R
Backward Slipping happens when vCM<R
Total Kinetic Energy is K=(1/2)mvCM( 1+k2/R2 )
Formulas for Pure Rolling Motion in Inclined Plane with mass M, radius R and inclination –
Acceleration a=gR2/( k2+R2 )
Minimum Frictional Coefficient =k2/(k2+R2)
Work Done by Torque is W=d
Physics Formulas for JEE Mains: Gravitation
The following are the formulas covered in Gravitation:
Newton’s Law of Gravitation is F=Gm1m2/R2 where G6.67*10-11Nm2/kg2
Gravitational Field is GM/R2
Gravitational Field outside a Spherical Shell is -GM/r2 where r>R
Gravitational Field on the Surface of the Spherical Shell is -GM/R2
Gravitational Field inside the Spherical Shell is 0
Gravitational Field outside a Solid Sphere is -GM/r2 where r>R
Gravitational Field inside a Solid Sphere is -GMr/R3 where r<R
Acceleration due to gravity is g=GM/R2
Acceleration due to gravity at height h above the surface is gh=g(1-2h/R) when h<<<R
Acceleration due to gravity at depth d from the surface is gd=g(1-d/R)
Acceleration due to gravity at latitude is g=g-2R2
Gravitational Potential due to a point mass is V= -GM/r
Gravitational Potential inside a Spherical Shell is 0
Gravitational Potential outside the Spherical Shell is V= -GM/r where r>R
Gravitational Potential inside a Solid Sphere is V= -GM(3R2-r2)/2R3 where r<R
Potential of a thin ring on the axis at a distance r is V= -GM/R2+r2
Escape Velocity from a planet is v=2GM/R
Orbital Velocity of a satellite is v=GM/r where r>R
Time Period of a satellite is T=2*rr/GM
Potential Energy of a point mass at a distance r from the center of object is U= -GMm/r
Kinetic Energy of a satellite is K=GMm/2r
Mechanical Energy of a satellite is E= -GMm/2r
Kepler’s 3rd Law of Planetary Motion is T2=ka3 where a is the length of semi-major axis
Physics Formulas for JEE Mains: Solid Mechanics
Candidates can refer to the below information to know the formulas covered in Solid Mechanics:
Stress is the Ratio of Internal Restoring Force per unit Area of Cross-Section
Strain is the Ratio of change in size of the object to its original size
Hooke’s Law within elastic limit is StressStrain
Young’s Modulus Y=( F/A )/( L/L )
Increment in length due to its own weight L=gl2/2Y
Bulk Modulus = -P/( V/V )
Compressibility is the reciprocal of Bulk Modulus
Modulus of Rigidity =(F/A)/
Poisson’s Ratio =Lateral Strain/Longitudinal Strain= -(D/D)(L/L)
Work Done on a wire is W=(1/2)*Stress*Strain*Volume=FL/2
Physics Formulas for JEE Mains: Fluid Mechanics
The following are the formulas covered in Fluid Mechanics:
Mass Density is =MassVolume
Specific Weight is WeightVolume=g
Relative Density is Density of LiquidDensity of Pure Water at 4OC
Density of a mixture with variable Volume is =k=1nmkk=1n( mk/k )
Density of a mixture with variable Mass is =k=1nVkkk=1nVk
Pressure P=Normal ForceArea
Difference of Pressure in depth h is P=hg
Gauge Pressure at depth h of a liquid when placed in an elevator is P=h( ga )
Gauge Pressure between two points on same level at a distance of l when the liquid is accelerated by a is P=la
Rotating Cylinder along the length and passing through the center, th extra height is h=(r)2/2g
The following are some of the most frequently asked questions on Physics formulas for JEE Mains:
Q: How are the Physics formulas useful for JEE Mains?
Ans:Candidates use formulas to solve numerous problems asked in the JEE Mains question paper.
Q: What are the important Physics formulas for JEE Mains?
Ans: The important Physics formulas for JEE Mains are given in the article above. Candidates are requested to go through it.
Q: Who conducts the JEE Main exam?
Ans:The National Testing Agency (NTA), along with the Joint Apex Board (JAB) is conducting JEE Mains in two phases: June and July Sessions.
Q: Where can I find the Physics formulas for JEE Mains?
Ans:Class 11 and Class 12 NCERT Physics textbooks contain all the important physics formulas for JEE Mains.
Q: When will the JEE Mains exam be conducted?
Ans:The first phase of JEE Mains has been rescheduled to be held from January 24 to February 1, 2023, whereas the second phase exam is to be conducted from April 06 to 12, 2023.
We hope the article on the Physics Formulas for JEE Mains has been helpful. The aforementioned formulas are important to score high marks in Physics. Try our free JEE Main mock tests to solidify your JEE Main preparation. We wish you all the best for your exams!
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