Buoyancy When a body is in water, it displaces some amount of water owing to its weight. The amount of displaced water is computed by object’s density which relates to volume. The volume of a cricket ball and beach ball can be same their different weight their density differs. The steel solid block descends in Read more about Buoyancy[…]
Magnetization and Magnetic Intensity The Magnetic behaviour of a magnet is characterized by the alignment of the atoms inside a substance. When a ferromagnetic substance is brought under the application of a strong external magnetic field, then they experience a torque wherein the substance aligns themselves in the direction of the magnetic field applied and hence gets strongly magnetized Read more about Magnetization and Magnetic Intensity[…]
Theory of Equations – Problems 1. Find the polynomial equation whose roots are translates of those of x⁵ – 4x⁴ + 3x² – 4x + 6 = 0 by -3. Solution: Given equation is f(x) = x⁵ – 4x⁴ + 3x² – 4x + 6 = 0 Required equation is f(x + 3) = 0 Read more about Theory of Equations – Problems[…]
Himachal Pradesh University Common Entrance Test 2018 Notification Released What is HPU? Himachal Pradesh University, Named after the State of Himachal Pradesh, was established on 22nd July 1970. Himachal Pradesh University is the only multi-faculty and affiliating University in the state. Eligibility: a) The eligibility is 10+2 examination or equivalent, passed with Physics, Mathematics and Read more about Himachal Pradesh University Common Entrance Test 2018 Notification Released[…]
Standing Waves in Air Columns Air Columns: Air Column can be found in various musical instruments where it is enclosed with a hollow metal tube. To conserve space it is coiled upon itself several times. It is almost nearer to one meter in length. Suppose if the end of the tube is left uncovered and Read more about Standing Waves in Air Columns[…]
Determinant Matrix Problems 1. Find the value of x . Solution: Given that , C₁ → C₁ + C₂ + C₃ , , , R₂ → R₂ – R₁, R₃ → R₃ – R₁ , ⇒ (3x – 2) (3x – 11)² = 0, ⇒ x = ⅔ (or) 11/3. 2. Find the x value Read more about Determinant Matrix Problems[…]
Andhra University Engineering Entrance Test (AUEET) 2018 Notification Released What is AUEET? Andhra University Engineering Entrance Test, Visakhapatnam invites applications for admissions into 6-Year B.Tech. + M.Tech. Dual Degree Programmes in CSSE, Computer Science & Networking, Civil, Mechanical, EEE, ECE, Chemical and Instrumentation Technology (with exit option after 4 years) through AUEET-2018 Eligibility: 10 + Read more about Andhra University Engineering Entrance Test (AUEET) 2018 Notification Released[…]
Cramer’s Rule Example 1) Solve the system of equation X – 2Y + 3Z = 2, 2X + 4Y + 2Z = -1, X + 2Y – 2Z = 5. Solution: Given that X – 2Y + 3Z = 2, 2X + 4Y + 2Z = -1, X + 2Y – 2Z = 5 We Read more about Cramer’s Rule Example[…]
Brewster’s Law Brewster’s law is a relationship of light waves at the maximum polarization angle of light. This law is named after Sir David Brewster, a Scottish physicist, who proposed the law in the year 1811. The law states that the p-polarized rays vanish completely on different glasses at a particular angle. Further, the polarization angle Read more about Brewster’s Law[…]
Inverse Matrix Theorem If A is a nonsingular matrix then A is invertible and . Proof: Let A = be a nonsingular matrix. Therefore detA not equal to zero , , , . A.adjA = detA.I Therefore , Similarly we can prove that, . . Example 1) find the adjoint and inverses of the following Read more about Inverse Matrix Theorem[…]