`{:("Across","Down"),("1. Prefix used instead of a 10 power positive number.","2. Only these quantities can be measured."),("6. A body does not change its position.","3. Standard reference of a physical quantity."),("8. The quantity that depends on other quantities.","4. Kelvin is the unit of"),("9. Unit of electric current","5. Prefix used to represent "10^(-2) " is"),("10. Paper used to measure the area of irregular lamina.","7. Distance covered by the body in unit time."):}`

`{:("Across","Down"),("1. Prefix used instead of a 10 power positive number.","2. Only these quantities can be measured."),("6. A body does not change its position.","3. Standard reference of a physical quantity."),("8. The quantity that depends on other quantities.","4. Kelvin is the unit of"),("9. Unit of electric current","5. Prefix used to represent "10^(-2) " is"),("10. Paper used to measure the area of irregular lamina.","7. Distance covered by the body in unit time."):}`
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The correct Answer is:
`{:("Across","Down"),("1. Multiple","2. Physical"),("6. Rest","3. Unit"),("8. Derived quantity","4. Temperature"),("9. Ampere","5. Centi"),("10. Graph","7. Speed"):}`
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Calculate data of 6 observations with mean as 10. {:("Across",,"Down"),("2. Information in numerical form",,"1. Data can be represented in pictures."),(5.360^(@)"times the ratio of copponent value and the sum of values of all components",,"3. In pie chart, the value of component is proportional to this"),("6. Circle is divided like these to represent a data",,"4. Thses are the parts of a kind of a graph"),("8. Angle of all sectors together",,"7. Data represented as a line"),("10. In bar graph the value of the data is proportional to this",,"9. In bar graph all bars are equal in this"),("11. Circular graph",,),("In this graph, data is converted into rectangles",,):}
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{:("Across",|, "Down"),(4. " The sign of integers less than zero",|, 1. " Each of the symbols in a number system"),(6. " A number that comes just after another",|, 2. " A number that comes just before another"),(7. " The whole numbers and negative natural numbers together",|, 3. " It is another name of zero"),(10. " Expressing a number in words",|, 5. " Integers greater than zero"),(11. " An integer which is neither positive nor negative",|, 8. " Representation of a number by digits"),(12. " The order of operations",|, 9. " Hundred crores"):}
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Knowledge Check
Statement-1: The numerical value (n)of a physical quantity is inversely proportional to size of unit (u) being used to measure it. Statement-2:The magnitude of physical quantity does not change by changing the units.
Statement-1: The numerical value (n)of a physical quantity is inversely proportional to size of unit (u) being used to measure it. Statement-2:The magnitude of physical quantity does not change by changing the units.
A
Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
B
Statement-1 is true, statement-2 is true and statement -2 is NQT the correct explanation for statement-1.
C
Statement-1 is true, statement -2 is false.
D
Statement-1 is false, statement -2 is true.
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The density of Cu is 8.94 g cm^(-3) . The quantity of electricity neede to plate an area 10 cm xx 10 cm to a thickenss of 10^(-2) cm using CuSO_4 solution qould be .
The density of Cu is 8.94 g cm^(-3) . The quantity of electricity neede to plate an area 10 cm xx 10 cm to a thickenss of 10^(-2) cm using CuSO_4 solution qould be .
A
` 13586 C`
B
` 27172 C`
C
` 40758C`
D
` 20348 C`
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A unit of area, often used in measuring land areas, is the hectare defined as 10^4 m^2 An open-pit coal mine consumes 75 hectares of land, down to a depth of 26 m, each year. What volume of earth, in a cubic kilometre, is removed in this time?
A unit of area, often used in measuring land areas, is the hectare defined as 10^4 m^2 An open-pit coal mine consumes 75 hectares of land, down to a depth of 26 m, each year. What volume of earth, in a cubic kilometre, is removed in this time?
A
0.01
B
0.02
C
0.03
D
0.04
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The process of measurement is basically a process of comparison. The chosen standard of measurement of a quantity, which has essentially the same nature as that of the quantity is called unit of the quantity. Magnitude of a quantity (Q) = size of its unit (u)xx number of times (n) this unit is contained in the quantity. i.e. Q = nu As magnitude of a quantity remains the same, whatever be its units of measurement, therefore, Q = n_1u_1 = n_2 u_2 Read the above passage and answer the following questions : (i) The value of acceleration due to gravity (g) = 9.8 m//s^2 How do you express it in km//hr^2 ? (ii) Our world is a game of numbers. Do you agree ? Justify.
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{:("Across","Down"),(3." the equality of ratios" , 1. " Does ratio have units" ),(6. "b and c in a:b :: c:d", 2. "a in a :b"),(9."b in a:b" , 4."comparison of similar quantities by divison"),(10."The ratios 4 :6 and 6:9 are", 5."Are 12.15.20 and 25 in proportion?"),(11."a:b is in its lowest terms, the HCF of a and b is" , 7."a and d in a: b::c:d is"),(,8. "Two-fifth of 250is"):}
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{:("Across","Down"),("3. It is a non-conventional source of energy (Two words)","1. It is a domestic source of energy (Three words)"),("4. The SI unit of work is","2. Energy stored in a compressed string (Two words)"),("6. It is a form of chemical energy","5. Heat energy is measured in__________"),("7. Work done on the body if the displacement of the","8. Gravitational potential energy of the body depends"),("body is in the direction of force applied on it","on mass and_______"),("8. Electricity produced from the stored water in a","9. It is a conventional source of energy"),("dam is called (Two words)",),("10. This converts light energy into bio-chemical energy",):}
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Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: A 63 litres mixture of wine and water contains wine and water in the ratio 5: 4 respectively. A lady added another 49 litres mixture of wine and water which contains wine and water in the ratio 4: 3 respectively. Another lady added 12 litres of wine and 1 litres of water into the mixture. The final mixture is divided into three containers in the ratio 2: 2: 1 respectively. Find the difference between quantities of water in the first and third container. Quantity II: Ratio of milk and water in a mixture is 13: 7 respectively. The milkman added 5 litres of milk and 15 litres of water to the mixture and hence the ratio becomes 7: 5 respectively. The milkman sold 50% of the new mixture and added 10 litres of milk and 8 litres of water to the remaining mixture. Find the difference between the quantities of milk and water in the final mixture.
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Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the above situation let t_(1) be the time of accelerated motion and t_(2) be the time or retarded motion, then the correct relation is
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