(c) f 26. Identical balls oscillate with the same period T on Earth. 31. At w Ba
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(c) f 26. Identical balls oscillate with the same period T on Earth. 31. At w Ball A is attached to an ideal spring and ball B swings back resonate? and forth to form a simple pendulum. These systems are now taken to the Moon, where g = 1.6 ms-2, and set into (c) oscillation. Which of the following statements about these 32. A systems are true? I. Bo Earth. II. On the Moon, ball A will take louger to complete one its ma cyele than ball B.T III. On the Moon, ball B will take longer to complete one (b) A cycle than ball A. IV.On the Moon, ball A will execute more vibrations each (c) minute than ball B. V. On the Moon, ball B will execute more vibrations each (d) minute than ball A. (a) I and III, and also II and IV (b) I and IV, and also II and III. d) 4f (d) It wil -5 to mov displac the ina th systems will have the same period on the Moon as on (a rium expa coIL Inc Sh (c) I and II, and also III and IV. (d) NI and IV only. 27. The approximate range of human hearing is: (a) 10 to 10 kHz. 020 Hz to 20Explanation / Answer
Period of oscillation,
For ball A, TA = 2*pi*sqrt (m / k)
For ball B, TB = 2*pi*sqrt (l / g)
On eargh, TAe = TBe
At moon, g = 1.6 m/s^2 = g / 6
TBm = 2*pi*sqrt[l / (g/6)] = sqrt(6)*TBe
As TBm > TAm
so, frequency = TBm < TAm = number of vibrations / unit time
Hence, (lll) on the moon,ball B will take longer to complete one cycle than ball A
(lv) On the moon ,ball A will execute more vibrations each minute than ball B.
Answer is (lll) and (lV) only.
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