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Sound, Calorimetry, Radioactivity (Numericals) Assignment Sheet 1. A pendulum has a frequency of 5 vibrations per second. An observer starts the pendulum and fires a gun simultaneously. He hears the echo from a cliff after 8 vibrations of the pendulum. If the velocity of sound in air is 340ms-1, what is the distance between the cliff and the observer ? [ICSE 2003] 2. A student performs the following experiment in order to calculate specific latent heat of fusion of ice. He takes a calorimeter of mass 5.0g containing 50g of water at 30 C. Into this calorimeter he adds 5g of dry ice at 0 C. When all the ice melts the final temperature recorded by him is 20 C. (a) What is the total quantity of water in the calorimeter at 20 C. (b) What quantities of heat are released by water and calorimeter in attaining the temperature of 20 C ? (c) What is the total amount of heat gained by the ice ? (d) Calculate the value of latent heat of fusion of ice from the above calculations. [Take S.H.C. of water = 4.2Jg-1 C-1 and S.H.C. of copper = 0.4Jg-1 C-1] [ICSE 2003] 3. The wavelength of the waves produced on the surface of water is 20cm. If the velocity is 24ms-1, Calculate : (i) The number of waves produced in one second, (ii) The time required to produce one wave. [ICSE 2004] 4. 10,125 J of heat energy boil off 4.5g of water at 100 C to steam at 100 C. Find the specific latent heat of steam. [ICSE 2004] 5. A radar is able to detect the reflected waves from an enemy aeroplane, after a time interval of 0.02 milli second. If the velociy of the waves is 3 108 ms-1, calculate the distance of the plane from the radar.[ICSE 2005] 6. Water falls from a height of 50m. Calculate the rise in temperture of water when it strikes the bottom. [g = 10ms -2, specific heat capacity of water = 4200Jkg 1 C 1] [ICSE 2005] 7. Calculate the amount of heat released when 5.0g of water at 20 C is changed to ice at 0 C. Sp. heat capacity of water = 4.2Jg-1 C-1 and Sp. latent heat of fusion of ice = 336Jg -1. [ICSE 2005] 42
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