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[…]
Inverse Trigonometric Function – Graph cot⁻¹(cotx) Graph y = cot⁻¹(cotx): y = cot⁻¹(cotx) coty = cotx The general solution of cotx = cotα is nπ + α, n ϵ z Now general solution of coty = cotx is y = nπ + x, n ϵ z y = nπ + x ….(1) Equation (1) Put Read more about Inverse Trigonometric Function – Graph cot⁻¹(cotx)[…]
Madan Mohan Malaviya University of Technology(MMMUT-2020) B.Tech Notification Released MMMUT-2020: Malaviya Entrance Test (MET)-2020 is conducted by Madan Mohan Malaviya University of Technology (MMMUT) for admission into 1st year B.Tech courses. It is a Technical Residential University located in the city of Gorakhpur, Uttar Pradesh, India. It was granted the status of “autonomous institute” by Read more about Madan Mohan Malaviya University of Technology(MMMUT-2020) B.Tech Notification Released[…]
ANDHRA PRADESH ENGINEERING AND MEDICAL COMMON ENTRANCE TEST (AP-EAMCET) 2020 EXAM DATES RELEASED Engineering, Agriculture and Medical Common Entrance Test (EAMCET-AP) is conducted by Jawaharlal Nehru Technological University Kakinada on behalf of APSCHE(Andhra Pradesh State Council of Higher Education) This examination is the prerequisite for admission into various professional courses offered in University/ Private Colleges Read more about ANDHRA PRADESH ENGINEERING AND MEDICAL COMMON ENTRANCE TEST (AP-EAMCET) 2020 EXAM DATES RELEASED[…]