The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Represent the data of both the teams on the same graph by frequency polygons .

The following diagram represents an electrical circui containing two uniform resistance wires A and B connected to a single ideal cell. Both wires have same length, but thickness of wire B is twice that of wire A. The conducting wires connecting A and B to the ideal cell are resistanceless. The dependence of electric potential on position along the length of two wires is given in option.

Two motor cars start from A simultaneously & reach B after 2 hour. The first car travelled half the distance at a speed of v_(1)=30 km hr^(-1) & the other half at a speed of v_(2)=60 km hr^(-1) . The second car covered the entire with a constant acceleration. At what instant of time, were the speeds of both the vehicles same? Will one of them overtake the other enroute?

The each of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, she buys another bat and 3 more balls of the same kind for Rs. 1300. Represent this situation algebraically and geometrically.

Four candidates A, B, C, D have applied for the assignment to coach a school cricket team. If A is twice as likely to be selected as B, and B and C are given about the same chance of being selected, while C is twice as likely to be selected as D, what are the probabilities that (i) C will be selected ? (ii) A will not be selected ?

A cricket bowler releases the ball in two different ways (a) giving it only horizontal velocity, and (b) giving it horizontal velocity and a small downward velocity. The speed Vs at the time of release is the same. Both are released at a height H from the ground. Which one will have greater speed when the ball hits the ground ? Neglect air resistance

The transverse displacement of a string (clamped at its both ends) is given by y(x, t) = 0.06 sin ((2 x)/(3) x) cos (120 pi t) where x and y are in m and t in s. The length of the string is 1.5 m and its mass is 3.0 xx 10^(-2) kg . Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency , and speed of each wave ? (c ) Determine the tension in the string.