When a person is suffering from problem in vision met a doctor , he wrote in his prescription the following figures. +1.5D,-2D
What has the doctor indicated in the prescription?

When a person is suffering from problem in vision met a doctor , he wrote in his prescription the following figures. +1.5D,-2D Which are the types of lenses prescribed here ?

If a young man rides his motor cycle at 25 k . p . h , he has to spend Rs. 2 per km on petrol, if he rides it at ạ faster speed of 40k.p.h. , the petrol cost increases to Rs. 5 per k m . He has Rs. 100 to spend on petrol and wishes to find what is the maximum distance, he can travel within the hour. Express this as a linear programming problem and then solve it.

A laboratory blood test is 99 % effective in detecting a certain disease when it is infact,present. However result for 0.5% of the healthy person tested (i.e.,if a healthy person is tested,then with probability 0.005, the test will imply be has the disease). If 0.1% of the population actually has the disease,what is the probability that a person has the disease given taht his test result is positive?

(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 100 turn closely wound circular cell of radius 10 cm carries a current of 3.2A (a) what is the field at the centre of the coil? (b) What is the magnetic moment of this coil? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A uniform magnetic field 2 T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^(o) under the influence of the magnetic field (c) What are the magnitudes of the torques on the coil in the initial and final position? (d) What is the angular speed acquired by the coil when it has rotated by 90^(o) ? The moment of inertia of the coil is 0.1 kg m^(2) .