UNIT 10 NUMERICALS
SIMPLE HARMONIC MOTION AND WAVES
NUMERICAL NO: 10.1
The time period of simple pendulum is 2 second. What will be its length on Earth? What will be its length on the moon if gm = ge /6 where ge = 10 ms-2 .
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NUMERICAL NO: 10.2
A pendulum of length 0.99 m is taken to the moon by an astronaut. The period of the pendulum is 4.9 s. What is the value of g on the surface of the moon?
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NUMERICAL NO: 10.3
Find the time period of a simple pendulum of 1 meter length, placed on Earth and on moon. The value of g on the surface of moon is 1/6th of its value on Earth. Where ge = 10 ms-2 .
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NUMERICAL NO: 10.4
A simple pendulum completes one vibration in two seconds. Calculate its length when ge = 10 ms-2 .
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NUMERICAL NO: 10.5
If 100 waves pass through a point of medium in 20 seconds, what are the frequency and the time period of the wave? If its wavelength is 6 cm, calculate the wave speed.
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NUMERICAL NO: 10.6
A wooden bar vibrating into the water surface in a ripple tank has a frequency 12 Hz. The resulting wave has a wavelength of 3 cm. What is the speed of the wave?
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NUMERICAL NO: 10.7
A transverse wave produced on a spring has a frequency of 190 Hz and travels along the length of the spring of 90 m, in 0.5 s.
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NUMERICAL NO: 10.8
Water waves in a shallow dish are 6.0 cm long. At one point, the water moves up and down at a rate of 4.8 oscillations per second.
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NUMERICAL NO: 10.9
At one end of a ripple tank 80 cm across, a 5 Hz vibrator produces waves whose wavelength is 40mm. Find the time the waves need to cross the tank.
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NUMERICAL NO: 10.10
What is the wavelength of radio wave transmitted by an FM station at 90 MHz? Where 1 M = 106 , and speed of radio waves is 3 x 108 ms-1 .
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