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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.

Find the equivalent resistance of the network between the point A and B shown in the figure . If A and B are connected to a 13 V battery so that V_(A) gt V_(B) . Find (a) the current in each resistor (b) the potential difference V_(ab) = V_(a) - V_(b) .

An 1800 W toaster, a 1.3 kW electric fan and a 100 W lamp are plugged in the same 120 V circuit i.e., all the three devices are in parallel. What is the approximate value of the total current (i.e. the sum of current drawn by the three devices) through the circuit ?

A wire of 62.0 cm length and 13.0 g mass is suspended by a pair of flexible leads in a uniform magnetic field of magnitude 0.440 T in figure. What are the magnitude and direction of the current required to remove the tension in the supporting leads? Take g = 10 m/s^2

A solenoid of 2000 turns is wound over a length of 0.3 m. The area aof cross section is 1.3 xx 10^(-3) m^(2) . Around its central seciton, a coil of 300 turns is closely wound. If an initial current of 2 A is reversed in 0.25 s, find the e.m.f induced in the coil .