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Interference of Light When two waves of exactly same frequency travels in a medium, in the same direction simultaneously then due to their superposition, at some points intensity of light is maximum while at some other point’s intensity is minimum. This phenomenon is called Interference of light. It is of following two types (1) Constructive Read more about Interference of Light[…]
National Law University – All India Law Entrance Test (AILET) 2020 Exam Date Released AILET 2020 The NATIONAL LAW UNIVERSITY, DELHI established in 2008 by Act No. 1 of 2008 is premier Law University established in the capital city of India. The National Law University, Delhi will conduct “All India Law Entrance Test – 2020 Read more about National Law University – All India Law Entrance Test (AILET) 2020 Exam Date Released[…]
Characteristics of Wave Motion Waves can occur whenever a system is disturbed from equilibrium and when the disturbance can travel or propagate from one region of the system to another. Wave can carry energy and momentum. The energy in light waves from the sun warms the surface of our planet; the energy in seismic waves Read more about Characteristics of Wave Motion[…]
Relation f⁻¹(x) with f⁻¹(1/x) – 2 Theorem: cos⁻¹(1/x) = sec⁻¹(x), for all Proof: cos⁻¹(1/x) = sec⁻¹(x) Let sec⁻¹(x) = θ Where θ ϵ [0, π] –{0} and x = secθ 1/x = 1/ secθ 1/x = cosθ θ = cos⁻¹(1/x) sec⁻¹(x) = θ sec⁻¹(x) = cos⁻¹(1/x) cos⁻¹(1/x) = sec⁻¹(x), for all Hence proved Theorem: Proof: Read more about Relation f⁻¹(x) with f⁻¹(1/x) – 2[…]
Resistivity, Conductivity and Conductance 1) Resistivity: Resistivity is a measure of the resistance of a given size of a specific material to electrical conduction. From, , if , then i.e. resistivity is numerically equal to the resistance of a substance having unit area of cross section and unit length. i) Unit and dimension: Its SI Read more about Resistivity, Conductivity and Conductance[…]
Relation f⁻¹(x) with f⁻¹(1/x) – 1 Theorem: sin⁻¹(1/x) = cosec⁻¹(x), for all , Proof: sin⁻¹(1/x) = cosec⁻¹(x) Let cosec⁻¹(x) = θ , And , x = cosecθ 1/x = 1/ cosecθ 1/x = sinθ θ = sin⁻¹(1/x) cosec⁻¹(x) = θ cosec⁻¹(x) = sin⁻¹(1/x) sin⁻¹(1/x) = cosec⁻¹(x), for all , Hence proved Examples: 1.sin⁻¹(1/2) = cosec⁻¹(2) Read more about Relation f⁻¹(x) with f⁻¹(1/x) – 1[…]
Birla Institute of Technology and Science Admission Test (BITSAT) 2020 Notification Released The Birla Institute of Technology and Science (BITS) Pilani is an all India Institution declared as Deemed to be University. Admissions to all the Integrated First Degree programmes of BITS, Pilani, at Pilani campus, Goa campus, and Hyderabad Campus for the academic year Read more about Birla Institute of Technology and Science Admission Test (BITSAT) 2020 Notification Released[…]
Inverse Trigonometric Functions – cosec⁻¹(cosecx) Graph y = cosec⁻¹(cosecx): y = cosec⁻¹(cosecx) cosecy = cosecx The general solution of cosecx = cosecα is nπ + α, n ϵ z Now general solution of cosecy = cosecx is y = nπ + x, n ϵ z y = nπ + x ….(1) Equation (1) Put n Read more about Inverse Trigonometric Functions – cosec⁻¹(cosecx)[…]
Various Speeds of Gas Molecules The motion of molecules in a gas is characterized by any of the following three speeds. 1) Root mean square speed: It is defined as the square root of mean of squares of the speed of different molecules. i.e. , (i) From the expression of pressure , , Where, , Read more about Various Speeds of Gas Molecules[…]