Express the following in the language of ratios: (a)The length of rectangle is double of its breadth. (b)For preparing tea, 3 cups of water require 1 cup of milk. (c)In a school, the work load of teaching four classes has been assigned to six teachers.

Ram and Ali have been fast friends since childhood. Ali neglected studies and now has no means to earn money other than a channel whereas Ram has become an engineer. Now both are working in the same factory. Ali uses camel to transport the load within the factory. Due to low salary and degradation in health of camel, Ali becomes worried and meets his friend Ram and discusses his problems. Ram collected some data and with some assumptions concluded the following: i. The load used in each trip is 1000kg and has friction coefficient mu_k=0.1 and mu_s=0.2 . ii. Mass of camel is 500kg . iii. Load is accelerated for first 50m with constant acceleration, then it is pulled at a constant speed of 5ms^-1 for 2km and at last stopped with constant retardation in 50m . iv. From biological data, the rate of consumption of energy of camel can be expressed as P=18xx10^3v+10^4Js^-1 where P is the power and v is the velocity of the camel. After calculations on different issues, Ram suggested proper food, speed of camel, etc. to his friend. For the welfare of Ali, Ram wrote a letter to the management to increase his salary. (Assuming that the camel exerts a horizontal force on the load): The ratio of the energy consumed by the camel during uniform motion for the two cases when it moves with speed 5ms^-1 to the case when it moves with 10ms^-1

Answer question numbers 4(a)-4 (d) on the basis of your understanding of the following paragraph and the related studied concepts: India today is facing the problem of overuse of resources, contamination of water and soil and lack of methods of processing the waste.The time has come for the world to say goodbye to "single-use plastics".steps must be undertaken to develop environment-friendly substitutes, effective plastic waste collection and methods of its disposal. Indore treated 15 lakh metric tonnes of waste in just 3 years,through biomining and bioremediation techniques.Bioremediation involves introducing microbes into landfill to naturally 'break' it down and biomining involves using trommel machines to shift through the waste to separate the 'soil' and the waste component.The city managed to chip away 15 lakh metric tonnes of waste at a cost of around Rs.10 crore.A similar experiment was successfully carried out in Ahmedabad also. (a) State two methods of effective plastic waste collection in your school. (b) Name any two uses of "single-use plastic" in daily life. (c) If we discontinue the use of plastic,how can an environment-friendly substitute be provided? (d) Do you think microbes will work similarly in landfill sites as they work in the laboratory?Justify your answer.

When an object moves through a fluid, as when a ball falls through air or a glass sphere falls through water te fluid exerts a viscous foce F on the object this force tends to slow the object for a small sphere of radius r moving is given by stoke's law, F_(w)=6pietarv . in this formula eta in the coefficient of viscosity of the fluid which is the proportionality constant that determines how much tangential force is required to move a fluid layer at a constant speed v, when the layer has an area A and is located a perpendicular distance z from and immobile surface. the magnitude of the force is given by F=etaAv//z . For a viscous fluid to move from location 2 to location 1 along 2 must exceed that at location 1, poiseuilles's law given the volumes flow rate Q that results from such a pressure difference P_(2)-P_(1) . The flow rate of expressed by the formula Q=(piR^(4)(P_(2)-P_(1)))/(8etaL) poiseuille's law remains valid as long as the fluid flow is laminar. For a sfficiently high speed however the flow becomes turbulent flow is laminar as long as the reynolds number is less than approximately 2000. This number is given by the formula R_(e)=(2overline(v)rhoR)/(eta) In which overline(v) is the average speed rho is the density eta is the coefficient of viscosity of the fluid and R is the radius of the pipe. Take the density of water to be rho=1000kg//m^(3) Q. If the sphere in previous question has mass of 1xx10^(-5)kg what is its terminal velocity when falling through water? (eta=1xx10^(-3)Pa-s) A. 1.3m/s B. 3.4m/s C. 5.2m/s D. 6.5m/s

If a diagonal of a rectangle is thrice its smaller side, then its length and breadth are in the ratio (a) 3:1 (b) sqrt(3)\ :1 (c) sqrt(2)\ :1 (d) 2sqrt(2)\ :1

Change the following statements using expressions into statements in ordinary language. (For example, Given Salim scores r runs in a cricket match, Nalin scores r + 15 runs. In ordinary language – Nalin scores 15 runs more than Salim.) (a) A notebook costs Rs p. A book costs Rs 3 p. (b) Tony puts q marbles on the table. He has 8 q marbles in his box. (c) Our class has n students. The school has 20 n students. (d) Jaggu is z years old. His uncle is 4 z years old and his aunt is (4 z - 3) years old. (e) In an arrangement of dots there are r rows. Each row contains 5 dots