Explain the term \(\textit{Bhashanga}\) with examples such as Bhairavi, Kambhoji, etc
In Carnatic music, ragas are often classified based on their adherence to the parent melakarta scale. The term Bhashanga refers to a special category of janya ragas (derived ragas) that use one or more anya swaras (foreign notes), which do not belong to their parent melakarta scale.
Unlike upanga ragas, which strictly use notes only from their parent scale, Bhashanga ragas introduce external notes to enrich the melodic expression and emotional impact. These foreign notes give the raga a unique identity and allow for more nuanced improvisations.
Examples:
Significance:
Bhashanga ragas provide performers with greater scope for expression, allowing incorporation of subtle ornamentations and phrases that evoke different moods and rasas. They are extensively used in classical compositions and improvisations.
Write the raga lakshana of \(\textit{Pantuvarali.}\)
A current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
Three students, Neha, Rani, and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads, and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads, and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads, and 3 erasers.
Based upon the above information, answer the following questions:
(i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form \( A \mathbf{X} = B \).