Drift Velocity In absence of Electric field, electrons in a conductor will be moving due to thermal motion during which they collide with the fixed ions. An electron colliding with an Ion emerges with the same speed as before the collision. However, the direction of its velocity after the collision is completely random. What is Read more about Drift Velocity[…]
Hyperbola – Tangent and Normal Tangent to the Hyperbola: Let S = 0 be a hyperbola and P be a point on the hyperbola Let Q be any other point on the hyperbola. If the secant line PQ approaches to the same limiting position as Q moves along the curve and approaches to P from Read more about Hyperbola – Tangent and Normal[…]
ICAR Re-Examination Schedule 2018 In continuation of this Council’s earlier Office Order of even no. dated the 12th July, 2018 regarding cancellation of the ICAR’s 23rd online AII India Entrance Examination (CBT) for admissions to UG, PG and Ph.D courses for the academic session 2018 – 19 held on the 22nd and 23rd June, 2018, Read more about ICAR Re-Examination Schedule 2018[…]
Hyperbola – Theorems Theorem Statement: The equation of the chord joining the two points A(x₁, y₁), B(x₂, y₂) on the hyperbola S = 0 is S₁ + S₂ = S₁₂ Theorem: The difference of the focal distance of any point on the hyperbola is constant i.e., if P is appointed on the hyperbola with foci Read more about Hyperbola – Theorems[…]
Properties of Fluids Fluids are the substances which begin to flow when an external force is applied to them. The liquids and gases together termed as fluids, in other words, we can say that the substances which can flow are termed as fluids. The mechanical properties of fluids can be categorized into two branches i.e. Read more about Properties of Fluids[…]
Parabola – Two parabolas intersect at an angle Prove that the two parabolas y² = 4ax and x² = 4by intersect (other then the origin) at an angle of . Solution: Without loss of generality we can assume that a > 0 and b > 0 Let P (x, y) be the point of intersection Read more about Parabola – Two parabolas intersect at an angle[…]
Parabola – Tangent and Chord joining Two Points The equation of the chord joining two points A (x₁, y₁), B (x₂, y₂) on the parabola S = 0 is S₁ + S₂ = S₁₂. Proof: Let S = y² – 4ax = 0 be the given parabola Since A and B are two points on Read more about Parabola – Tangent and Chord joining Two Points[…]
Motion and Rest Motion and Rest are relative terms, no one can exist in a state of absolute rest or absolute motion. A body may seem to be at rest with respect to one object but may appear to be in motion with respect to another object. If you consider a passenger in a moving Read more about Motion and Rest[…]
Parabola Theorem: Three normal can be drawn from a point (x₁, y₁) to the parabola y² = 4ax. If the normal at t₁ and t₂ to the parabola y² = 4ax meet on the parabola, then t₁t₂ = 2. Proof: Let the normal at t₁ and t₂ meet at t₃ on the parabola The equation Read more about Parabola[…]
Velocity What is Velocity? Velocity is the Rate of change of position. I.e. Rate of displacement with time is called velocity. A velocity of an object is the rate of change of the object’s position with respect to a frame of reference and time, it might sound complicated but velocity is basically speed in a Read more about Velocity[…]