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Solved Examples
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D   According to Boyle's law PV = constant. Which of the following ordered pair fail to satisfy the Boyle's law equation PV = 1400?   D View Solution
D   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.]   D View Solution
D   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.   D View Solution
D   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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D   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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D   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?   D View Solution
D   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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D   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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D   Write a direct variation equation for the set {....(1, 6), (2, 12), (3, 18)....}.
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D   x 1y and y is 69 when x is 12. Find the constant of variation.   D View Solution
ff  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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ff  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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ff  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?  ff View Solution
ff  According to Boyle's law PV = constant. Which of the following ordered pair fail to satisfy the Boyle's law equation PV = 2000?  ff View Solution
ff  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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ff  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.]  ff View Solution
ff  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.  ff View Solution
ff  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.
  ff
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ff  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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ff  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?  ff View Solution
ff  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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ff  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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ff  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?  ff View Solution
ff  Write a direct variation equation for the set {....(1, 8), (2, 16), (3, 24)....}.
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ff  y varies with x as y = kx2. Which among the following figures represents the graph when k < 0?
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ff  x 1y and y is 45 when x is 11. Find the constant of variation.  ff View Solution
ff  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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ff  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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ff  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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ff  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?  ff View Solution
ff  Is the statement, 'Any constant of variation does not possess a unit', is true or false?  ff View Solution
ff  Which of the pairs represents the relationship depicted by the curve shown.  ff View Solution
ff  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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ff  The area of a triangle varies directly its base b and height h. What are the units of the proportionality constant ?  ff View Solution
ff  The density of 96 % sulfuric acid is 1.53 kg/l. Find the volume occupied by 1 ton of the acid in liters.  ff View Solution
ff  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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ff  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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ff  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.  ff View Solution