To solve the problem, we need to state the fitness index score formula used in the Harvard Step Test and list the standard norms used to interpret the score.
1. Fitness Index Score Formula (Harvard Step Test):
The Harvard Step Test evaluates cardiovascular fitness based on recovery time after exercise. The formula to calculate the Fitness Index (FI) is:
Fitness Index (FI) = \( \frac{\text{Duration of exercise in seconds} \times 100}{2 \times \text{Sum of 3 pulse counts}} \)
Explanation:
2. Norms for Fitness Index Score:
The following standards are used to assess the fitness level:
Fitness Index Score | Rating |
---|---|
Above 96 | Excellent |
83 – 96 | Good |
68 – 82 | Average |
Below 68 | Poor |
Final Answer:
The Fitness Index Score for the Harvard Step Test is calculated using the formula:
FI = \( \frac{\text{Exercise Duration (sec)} \times 100}{2 \times \text{Sum of 3 Pulse Counts}} \).
The norms are: Above 96 – Excellent, 83–96 – Good, 68–82 – Average, and Below 68 – Poor.
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 \( A \mathbf{X} = B \).