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ccc According to Boyle's law PV = constant. Which of the following ordered pair fail to satisfy the Boyle's law equation PV = 1400? ccc View Solution
ccc If the strength of a beam is inversely proportional to its length (s 1l), then how much weight does a 15 ft long beam support ? [A beam of length 1 yard supports atmost 150 lb.] ccc View Solution
ccc The area of a rectangular plot is 1200 m2. Into how many sub-plots can it be divided such that each sub-plot is a square of 400 m2 area. ccc View Solution
ccc A sprinter completes a 200 m race in 5.5 seconds and wins a silver medal. If the winner of the gold medal completes the race in 0.3 seconds earlier than silver medallist, then find the average speed of gold medallist.
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ccc A sprinter completes a 100 m race in 10.8 seconds and wins a silver medal. If the winner of the gold medal completes the race 0.7 seconds earlier than silver medallist, then what is the difference between the average speeds of the gold medallist and silver medallist?
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ccc The intensity(I) of light varies inversely as the square of the distance(d) between the light source and the observer. Suppose the intensity is measured as 36 units at a distance of 6 m from the source of the light. What is the intensity at a distance of 2.54 m? ccc View Solution
ccc The intensity(I) of light varies inversely as the square of the distance(d) between the light source and the observer. Suppose the intensity is measured as 42 units at a distance of 4 m, at what distance would be the intensity of the light source, half of what it was?
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ccc If x and y are varying so that their product is 270, which of the following is the graph of this variation?
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ccc Write a direct variation equation for the set {....(1, 6), (2, 12), (3, 18)....}.
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ccc x 1y and y is 69 when x is 12. Find the constant of variation. ccc View Solution
ccc y varies directly as x and z, and y = 504 when x = 7, z = 8. Find y when x = 7 and z = 16.
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ccc The velocity of a wave directly varies with its frequency and wavelength. Find the frequency of a sound wave whose wavelength is known to be 18 m. [Take velocity of sound as 330 m/s.]
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ccc Two meshed gears have 57 teeth and 116 teeth respectively. What is the speed of the first gear if the second gear runs at 3129 rpm? ccc View Solution
ccc According to Boyle's law PV = constant. Which of the following ordered pair fail to satisfy the Boyle's law equation PV = 2000? ccc View Solution
ccc Gay-lussac's law states that at fixed volume, for a given amount of ideal gas the pressure(P) is directly proportional to the absolute temperature(T). Which of the following curves represents the relationship between P and T.
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ccc If the strength of a beam is inversely proportional to its length (s 1l), then how much weight does a 5 ft long beam support ? [A beam of length 1 yard supports atmost 150 lb.] ccc View Solution
ccc The area of a rectangular plot is 4000 m2. Into how many sub-plots can it be divided such that each sub-plot is a square of 800 m2 area. ccc View Solution
ccc A sprinter completes a 300 m race in 5.5 seconds and wins a silver medal. If the winner of the gold medal completes the race in 0.3 seconds earlier than silver medallist, then find the average speed of gold medallist.
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ccc A sprinter completes a 300 m race in 15.2 seconds and wins a silver medal. If the winner of the gold medal completes the race 0.2 seconds earlier than silver medallist, then what is the difference between the average speeds of the gold medallist and silver medallist?
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ccc The intensity(I) of light varies inversely as the square of the distance(d) between the light source and the observer. Suppose the intensity is measured as 4 units at a distance of 2 m from the source of the light. What is the intensity at a distance of 0.28 m? ccc View Solution
ccc The intensity(I) of light varies inversely as the square of the distance(d) between the light source and the observer. Suppose the intensity is measured as 46 units at a distance of 2 m, at what distance would be the intensity of the light source, half of what it was?
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ccc If x and y are varying so that their product is 120, which of the following is the graph of this variation?
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ccc A graph shown below is plotted with pressure in atmosphere on y-axis and volume in m3 on x-axis. Which of the following holds well? ccc View Solution
ccc Write a direct variation equation for the set {....(1, 8), (2, 16), (3, 24)....}.
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ccc y varies with x as y = kx2. Which among the following figures represents the graph when k < 0?
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ccc x 1y and y is 45 when x is 11. Find the constant of variation. ccc View Solution
ccc y varies directly as x and z, and y = 252 when x = 4, z = 7. Find y when x = 4 and z = 14.
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ccc The velocity of a wave directly varies with its frequency and wavelength. Find the frequency of a sound wave whose wavelength is known to be 14 m. [Take velocity of sound as 330 m/s.]
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ccc Kepler's third law states that "the square of the orbital period (T) of a planet is proportional to the cube of its mean distance(R) (semi-major axis) from sun". Which of the following is true?
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ccc Two meshed gears have 29 teeth and 182 teeth respectively. What is the speed of the first gear if the second gear runs at 2683 rpm? ccc View Solution
ccc Is the statement, 'Any constant of variation does not possess a unit', is true or false? ccc View Solution
ccc Which of the pairs represents the relationship depicted by the curve shown. ccc View Solution
ccc Which of the following equations correctly represents the phenomenon of gravitational force (F) if m1 and m2 are the masses of the bodies between which the force of gravity exists and d is the distance between them. It is known that F varies directly as the masses and inversely as the square of the distance between them.
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ccc The area of a triangle varies directly its base b and height h. What are the units of the proportionality constant ? ccc View Solution
ccc The density of 96 % sulfuric acid is 1.53 kg/l. Find the volume occupied by 1 ton of the acid in liters. ccc View Solution
ccc Andy is taller than Jim. They race round a circular park with radius 49 m. It is found that the taller guy covers 1 meter in one step and shorter one covers half meter in one step. Who will take more steps? [Take π = 227.]
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ccc Tommy is taller than Tim. They race round a circular park with radius 28 m. It is found that the taller guy covers 1 meter in one step and shorter one covers half meter in one step. How many more steps does Tim have to take to finish the race? [Take π = 227.]
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ccc Area of the triangle varies directly its base b and height h. Find the constant of variation if its area is 80 sq. units, base is 16 units and height is 10 units. ccc View Solution