Clues - Across 1.SI unit of temperature 2 .A derived quantity 3. Mass per unit volume. 4. Maximum volume of liquid a container can hold. Clues - Down a. A derived quantity b. SI unit of volume. c. A liquid denser than iron d.A unit of length used to measure very long distances.

A dietician has to develop a special diet us ing two foods P and Q. Each packet (containing 30g) of food P contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food Q contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet requires atleast 240 units of calcium, atleast 460 units of iron and almost 300 units of cholesterol. How many packets of each food should be used to maximise the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?

The prices of three commodities A,B and C are Rs x, y and z per unit respectively. A person P purchases 4 units of B and sells two units of A and 5 units of C. Person Q purchases 2 units of C and sells 3 units of A and one unit of B. Person R purchases one unit of A and sells 3 unit of B and one unit of C. In the process, PQ and R earn Rs 15,000, Rs 1,000 and Rs 4,000 respectively. Find the prices per unit of A,B and C. (Use matrix inversion method to solve the problem.)

The mass of an iron sheet is 0.250 kg and volume of the sheet is 1.5m^(3) . Then what is the density of the iron sheet? Expres the result in SI unit system.

A beam of metal has length, breadth and height as 4m, 3m and 5m respectively. Then what will be the volume of the metal beam? Express the result in SI unit system.

A rod of length 2 units whose one end is (1,0,-1) and other end touches the plane x-2y=2Z+4=0, then a. the rod sweeps the figure whose volume is b .pic . d. cubic units. e. the area of the region which the rod traces on the plane is f . g.2pih . i. j. the length of projection of the rod on the plane is k . l.sqrt(m .3n .)o.p . q. units. r. the centre of the region which the rod traces on the plane is s . t.(u . v. w.2/x .3y . z. , aa.2/b b .3c c . dd. ,-e e .5/f f .3g g . hh. ii.)dotj j . kk.

A current carrying wire produces a magnetic field in its surrounding space A. The S.I. unit of magnetic flux density is a. henry b. tesla c. Am^(2) d. A-m B. With the help of a diagram, derive an expression for the magnetic field at the point on the axis of a circular current loop. C. Consider a tightly wound 100 turn coil of radius 10 cm, carrying a current of 1 A. What is the magnitude of the magnetic field at the centre of the coil?

A currrent I is passed through a silver strip of width d and area of cross section A. The number of free electrons per unit volume is n. (a) Find the drift velocity v of the electrons. (b) If a magnetic field B exists in the region as shown in what is the average magnetic force on the free electrons? (c) Due to the magnetic force, the free electrons get accumulated on one side of the conductor along its length. This produces a transverse electric field in the conductor which opposes the magnetic force on the electrons. Find the magnitude of the electric field which will be the potential diference developed across the width of the conductor due to the electron- accumulation? The appearance of a transverse emf, when a current-carrying wire is placed in a magnetic field, is called hall effect.

AB is a chord of x^2 + y^2 = 4 and P(1, 1) trisects AB. Then the length of the chord AB is (a) 1.5 units (c) 2.5 units (b) 2 units (d) 3 units

An electric kettle used to prepare tea, takes 2 minutes to boil 4 cups of water (1 cup contains 200 cc of water) if the room temperature is 25^@ C , (a) If the cost of power consumption is Re 1.00 per unit (1 unit = 1000 watt-hour) , calculate the cost of boiling 4 cups of water. (b) What will be the correspoinding cost if the room temprature drops to 5^@ C ?