To solve the problem, we need to identify the correct objective of Intramural tournaments, which are competitions held within a single institution among its own students.
1. Understanding Intramural Tournaments:
Intramural tournaments are organized within the same institution such as a school or college. They are designed to encourage participation, physical activity, and social bonding among students of the same campus.
2. Evaluating the Options:
- (A) To achieve high performance at the highest level of the tournament: This aligns more with extramural or elite competitions, not intramurals.
- (B) To develop the feeling of integration with other institutions: This applies to inter-school or extramural events.
- (C) To provide opportunities for choosing a career in sports: Intramurals are for recreational and participatory purposes, not career-oriented.
- (D) To promote health and recreation at the institution: This is the core purpose of intramural tournaments. They focus on fitness, enjoyment, and internal bonding among students.
Final Answer:
(D) To promote health and recreation at the institution.
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 \( A \mathbf{X} = B \).