Principles of Calorimetry Calorimetry is a scientific experimental measurement of the change of heat of a substance. A calorimeter is usually the container in which the heat change experiment is conducted. Calorimetry means “measuring heat”. When two bodies (one being solid and other being liquid or both being liquid) at different temperatures are mixed, heat Read more about Principles of Calorimetry[…]
Intersection of a Line and an Ellipse Line: y = mx + c … (1) Ellipse: … (2) Solving equations (1) and (2), we get b²x² + a²(mx + c ) ² = a²b² i.e., (a²m² + b²) x² + 2a² cmx + a²(c² – b²) = 0. Hence, are the tangents to the ellipse Read more about Intersection of a Line and an Ellipse[…]
Volume or Cubical Expansion When a solid is heated and its volume increases, then the expansion is called volume expansion (or) cubical expansion. Consider a rectangular parallel piped of slides l₁, l₂ and l₃. Its initial volume (V₀) = l₁ x l₂ x l₃. Differentiating both sides with respect to T, we get: . dV/ Read more about Volume or Cubical Expansion[…]
Equation of Parabola Equation of Parabola when vertex is (h, k) and Axis is Parallel to Y-axis. The equation of the parabola with vertex (h, k) is (x – h)² = 4a (y – k) Its focus is at (h, a + k) and the length of the latus rectum is 4a. The equation of Read more about Equation of Parabola[…]
Superficial Expansion When the temperature of a two – dimensional object is changed, its area changes, then the expansion is called superficial expansion. A two – dimensional object, such as a thin metallic plate, changes area when its temperature is raised or lowered. For an isotope material the area expansion may be expressed in terms Read more about Superficial Expansion[…]
Thermal Expansion in Liquids Liquids do not have linear and superficial expansion but these only have volume expansion. Since liquids are always to be heated along with the vessel that contains them so initially on heating the system, the level of liquid in vessel falls but later on, it starts rising due to faster expansion Read more about Thermal Expansion in Liquids[…]
Equation of an Ellipse Referred to Two Perpendicular Lines Consider the ellipse . Let P (x, y) be any point on the ellipse. Then PM = y and PN = x. . If follows from this if the perpendicular distance P₁ and P₂ of a moving point P (x, y) from two mutually perpendicular coplanar Read more about Equation of an Ellipse Referred to Two Perpendicular Lines[…]
Current Density Current density is a point is defined as the amount of current flowing per unit area round that point provided area is normal to the direction of current. It is denoted by J. Current Density (J) = Current (I)/ Area (A). The unit of current of current density is A/ m². Current density Read more about Current Density[…]
Capacity of Parallel – Plate Capacitor with Dielectric When a dielectric material is placed between the plates of a capacitor, the capacitance of the capacitor increases.These are non-conductors up to a certain value of field depending upon their nature.If the field exceeds the limiting value, called dielectric strength, dielectric loses its insulating property and beings Read more about Capacity of Parallel – Plate Capacitor with Dielectric[…]
Locus of Point of Intersection of Tangent under Different Conditions Tangent to the parabola y² = 4ax at point P (at₁², 2at₁) and Q (at₂², 2at₂) are t₁ y = x +at₁² and t₂ y = x + at₂² respectively. These tangents intersect at point R (at₁t₂,a (t₁ + t₂). If we want to find Read more about Locus of Point of Intersection of Tangent under Different Conditions[…]