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To maintain his health a person must fulfil certain minimum daily requiremens for several kinds of nutrients. Assuming that there are only thee kinds of nutrients-calcium, protein and calories and the person’s diet consists of only two food items, I and II, whose price and nutrient contents are shown in the table below: , Food I (per Ib), Food II (per Ib), Minimum daily requirement for the nutrient Calcium Protein Calories, 10 5 2, 5 4 6, 20 20 13 Price (Rs.), 60, 100, What combination of two food items will satisfy the daily requirement and entail the least cost? Formulate this as a LPP.

An alternating current in a circuit is given by l = 20 sin ( 100 pi t + 0.05pi ) A. The rms value and the frequency of current respectively are

Two parallel wires carry currents of 20A and 40A in opposite directions. Another wire carrying a current antiparallel to 20A is placed midway between the two wires. The magnetic force on it will be

A triangular current carrying loop is placed in the X-Y plane with its vertices at P(0,(asqrt(3))/2),Q(-a/2,0) and R(a/2,0) . The loop carries a current l in the direction PtoQtoRtoP . Let the point S have the coordinates (0,(asqrt(3))/2) Choose the correct option(s):

A house is fitted with seven tubelights of rating 220 V, 40 W each , two bulbs of rating 220 V, 60 W each, five fans each drawing a current of 0.4 A at 220 V , and a heater of resistance 48.4 Omega . The main line power supplied to the house is at 220 V . Calculate the bill for the month of january if tubelights and bulbs are used for 6 h daily, fans for 1 h daily , and heater for 10 h daily. The electricity is to cost Rs. 2 per unit.