Shortcut Methods

JEE Advanced

1. For calculating the time of flight in projectile motion, remember the equation:

Time=2(Final Velocity+Intial Velocity)×sinθg

2. For quick calculation of the angle in projectile motion, just add 45° with half of the given angle.

3. When given the equation of the trajectory, the horizontal range is given by R=u2sin2θg

4. For quick calculations of the maximum height

H=u2sin2θ2g

5. For easy estimation in a potentiometer experiment, remember that at the balancing point Length=e.m.f of CellPotential Gradient

6. For quick calculations of the drift velocity in a conductor vd=neμEm

7. To find the angle between the magnetic field and the current carrying conductor for maximum magnetic force, just remember

BIθ=90\degree

8. For easy calculations of the magnetic force on a moving charge, remember the formula

F=q(v×B)sinθ

9. To find the frequency of revolution of a charged particle in a magnetic field, remember the equation:

f=qB2πm

10. For quick calculations of the electric potential due to a point charge

V=14πϵ0Qr

11. To find the energy stored in a capacitor, just remember the equation:

E=12CV2

12. To find the reactance of an inductor, use the formula:

XL=2πfL

13. To recall the equation for the capacitive reactance, remember the equation:

XC=12πfC

CBSE Board Exams

1. For calculating the time of flight in projectile motion, remember the equation:

Time=2(Final Velocity+Intial Velocity)×sinθg

2. For quick calculation of the angle in projectile motion, just add 45° with half of the given angle.

3. When given the equation of the trajectory, the horizontal range is given by R=u2sin2θg

4. For quick calculations of the maximum height

H=u2sin2θ2g

5. For easy estimation in a potentiometer experiment, remember that at the balancing point

Length=e.m.f of CellPotential Gradient

6. To find the magnetic force on a current carrying conductor, just remember the formula:

F=BILsinθ

7. For quick calculations of the electric potential due to a point charge

V=14πϵ0Qr

**8.**To find the energy stored in a capacitor, remember the equation:

E=12CV2

9. To find the reactance of an inductor, use the formula:

XL=2πfL

10. To recall the equation for the capacitive reactance, remember the equation: XC=12πfC



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