While doing an experiment with potentiometer (Fig. EP 3.20) it was found that the deflection is one sided and
the deflection decreased while moving from one end A of the wire to the end B
the deflection increased while the jockey was moved towards the end B.

Which terminal of the cell `E_1` is connected at x in case (ii)?

The locus of the centre of the circle for which one end of the diameter is (3,3) while the other end lies on the line x+y=4 is

These questions consist of two statement each, printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses. A. If both Assertion and Reason are true and Reason is a correct explanation of the Assertion. B. If both Assertion and Reason are true but Reason is not a correct explanation of the Assertion. C. If Assertion is true but Reason is false. D. If both Assertion and Reason are false. Assertion: With few exception, tropics more species than temperature or polar areas. Reason: Species diversity decrease as we move away from the equator towards the poles.

A letter .A. consists of a uniform wire of resisrtance .A. one ohm per cm. The sides of the letter are each 20 cm long and crosspiece in the middle is 10cm long, while the apex angle is 60^@ . Find the resistance of the letter between two ends of the legs A. and E as shown in figure given below.

One end of a long string of linear mass density 8.0 xx 10^-3 kg m^-1 is connected to an electrically driven tuning fork of frequency 256 Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90 kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t= 0, the left end (fork end) of the string x = 0 has zero transverse displacement (y = 0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y asfunction of x and tthat describes the wave on the string

A manufacturer considers that men and women are equally efficient and so he pays them at the same rate. He has 30 and 27 units of workers ( male and female) and capital respectively, which he uses to produce two types of goods A and B. To produce one unit of A 2 workers and 3 units of capital are required while 3 workers and 1 unit of capital are required to produce one unit of B. If A and B are priced at Rs 100 and Rs 120 per unit respectively, how should he use his resources to maximise the total revenue? From the above as as LPP and solve graphically. Do you agree with this view of the manufacturer that men and women are equally efficient and so should be paid at the same rate?

Let y = f(x) be defined in [a, b], then (i) Test of continuity at x = c, a lt c lt b (ii) Test of continuity at x = a (iii) Test of continuity at x = b Case I Test of continuity at x = c, a lt c lt b If y = f(x) be defined at x = c and its value f(c) be equal to limit of f(x) as x rarr c i.e. f(c) = lim_(x to c) f(x) or lim_(x to c^(-))f(x) = f(c) = lim_(x to c^(+)) f(x) or LHL = f(c) = RHL then, y = f(x) is continuous at x = c. Case II Test of continuity at x = a If RHL = f(a) Then, f(x) is said to be continuous at the end point x = a Case III Test of continuity at x = b, if LHL = f(b) Then, f(x) is continuous at right end x = b. Number of points of discontinuity of [2x^(3) - 5] in [1, 2) is (where [.] denotes the greatest integral function.)