each other, added together, or 1) Suppose that two quantities, A and B, have sub

Question

each other, added together, or 1) Suppose that two quantities, A and B, have subtracted from each other). different dimensions. Determine which of the c. Dimensional analysis can never give following arithmetic operations could be you the numerical value of constants of physically meaningful. proportionality that may appear in an (i) A B algebraic expression and it can never (ii) AVB give the proper mathematical forms for the variables. (iv) AB d. Dimensional analysis can sometimes a. (iv) only give you the numerical value of b, (ii) only constants of proportionality that may and (iii) appear in an algebraic expression, but d. (i) and (iv) it can never give the proper variables mathematical forms for the 2) In a machine shop, two cams are produced, one of aluminum and the other of cast iron. Both (such as whether they are squared, cams have the same mass. Which cam is larger? multiplied by each other, divided by a. both cams have the same size each other, added together, or b. cannot tell from the information given subtracted from each other). c, the aluminum cam 4) suppose that you measure the position of a d. the iron cam chair using a meter stick and you record the Which of the following is true? distance of the center of the seat from the wall. Dimensional analysis can never give Which of the following measurements is the you the numerical value of constants of most reasonable? proportionality that may appear in an a. 1.043 860 564 2 m algebraic expression, but it can b. 1.043 860 m sometimes give the proper mathematical forms for the variables c. 1 m d. 1.04 m (such as whether they are squared, 5) Let's say that during a thunderstorm you multiplied by each other, divided by measure the time lag between the flash and the each other, added together, or subtracted from each other). thunderclap to be 3 seconds. If the speed of b. Dimensional analysis can sometimes sound is about 340 m/s, which of the following give you the numerical value of is the best estimate of your distance to the constants of proportionality that may lightning bolt? appear in an algebraic expression, and about 3 km it can sometimes give the proper b. about 0.3 km mathematical forms for the variables about 1 km (such as whether they are squared, d. about 10 km multiplied by each other, divided by 6) Under which of the following conditions is the magnitude of the average velocity of a partice 1 out of 4

Explanation / Answer

1) equal dimensional quantities can be added and subtracted

since A and B are having different dimensions they can be devided and multiplied

so the answer is

d)iiand iv

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2)

there is no relation between mass and size as proided by the question

so the answer is

b)

can not tellfrom the following given

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3) the answer is option (a)

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4) the answer is d)1.04

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5)

distance= velocity*time

distance340*3=1020m=1 km

so the answer is option c)about1km

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6) the answer is c)

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7)the answer is

b) can be used in any situation

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