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The amount of air present in the cylin...

The amount of air present in the cylinder when a vacuum pump removes each time `1/4` of the Air remaining in the cylinder. Will the sequence form an `AdotPdot` ?

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In which of the following situations, does the list of numbers involved make an arithmetic progression, and why ? The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time.

In which of the following situations , does the list of numbers of involved make an arithmetic progression , and why ? The amount of air present in a cylinder when a vacumm pump removes 1/4 of the air remaining in the cylinder at a time .

Knowledge Check

  • Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of time

    A
    the pressure may increase or decrease depending upon the nature of the gas
    B
    the pressure remains the same
    C
    the pressure decreases
    D
    the pressure increases
  • Air in a cylinder is suddenly compressed by a piston. which is then maintained at the same rosition. With the passage of time

    A
    the pressure decreases
    B
    the presseure increases
    C
    the pressure remains the same
    D
    the pressure may increase or decrease depending upon the nature of the gas
  • A sounding fork whose frequency is 256 Hz is held over an empty measuring cylinder. The sound is faint , but if just the right amount of water is poured into the cyclinder , it becomes loud. If the optimal amount of water produce an air column of length 0.31 m , then the speed of sound in air to a first approximation is

    A
    `317 m//s`
    B
    `371 m//s`
    C
    `340 m//s`
    D
    `332 m//s`
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    In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time. (iii) The cost of digging a well after every metre of digging, when it costs Rs.150 for the first metre and rises by Rs. 50 for each subsequent metre. (iv) The amount of money in the account every year, when 10000 is deposited at compound interest at 8 % per annum.

    In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? (i) The taxi fare after each km when the fare is 15 Rs for the first km and Rs. 8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes 1/2 of the air remaining in the cylinder at a time.

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    Carbon monoxide emitted by automobiles is an environmental hazard . A car has an engine of four cylinders with a total cylinder volume of 1600 cc and a fuel consumption fo 7.0 dm^(3) per 100 Km , when driving at an average speed of 80 km/hr . In one second , each cylinder goes through 25 burn cycles and consumes 0.400g of fuel . The compression ratio, which is the ratio between the smallest and largest volume within the cylinder as the piston moves forward and backward is 1:8. Calculate the air intake of the engine (m^(3)S^(-1)) , if the gaseous fuel and air are introduced into the cylinder when its volume is largest until the pressure is 101.0 KPa. the temperature of both incoming air and fuel is 100^(@) C. (Assume the fuel to be isoctane , C_(8)H_(18))

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