A circular dining table has 6.16 sq.m area. What length of wooden rod should be bought to make a border around its edge?

A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two verical wires at its ends. A current of 5.0 A is set up in the rod through the wires. a. What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero? b. What will be the total tension in the wires if the direction of current is reversed keeping the magnetic field same as before? (Ignore the mass of the wires.) g = 9.8 m/s^(2) .

The perimeter of the base of a square pyramid is '96 cm' and its height is '16' cm. a) What is the length of the base edge? b) What is the slant height? c) Find the lateral surface area.

An isosceles triangle has to be made like this .The height should be 2 metres less than the base. The area of the triangles should be 12 square metres. What should be the length of its sides?

Base area of a metallic triangular prism is 24 sq. cm and its height is 16 cm . a) What is its volume? b) If it is melted and recast into a square prism of base edge 2 cm , what will be its height?

A man owns a field of area 1,000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1,400 to purchase young trees. He has the choice of two types of the tree. Type A requires 10 sq.m of ground per tree and cost. Rs. 20 per tree and type B requires 20 sq.m of ground per tree and cost Rs. 25 per tree. When fully grown, type A produces an average of 20 kg fruit Which can be sold at a profit of Rs. 2 per kg and type B produces. an average of 40 kg of fruit which can be sold at a profit.of Rs. 1.50 per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?

(Manufacturing problem) A manufacturer has three machines I , II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours where as machine III must be operated for atleast 5 hours a day. She produces only two items M and N each requiring the use of all the three machines. The number of hours required for producing 1 unit of each of M and N on the three machines are given in the following table: She makes a profit of Rs 600 and Rs 400 on items M and N respectively. How many of each item should she produce so as to maximise her profit assuming that she can swll all the items that she produced ? What will be the maximum profit ?

A metal has a density of 2.6 gcm ^-3 and Its atomic mass is 27. Its cell has an edge length of 405 pm.What type of crystal lattice is for the metal?