Time taken to complete one oscillation for a pendulum is Time Period, T = 0.5 s
Frequency of the pendulum oscillation = 1 / Time Period => f = 1 / T = 1 / 0.5
Frequency f = 2 Hz
<u>Answer :</u>
(a) d = 0.25 m
(b) d = 0.5 m
<u>Explanation :</u>
It is given that,
Frequency of sound waves, f = 686 Hz
Speed of sound wave at
is, v = 343 m/s
(1) Perfectly destructive interference occurs when the path difference is half integral multiple of wavelength i.e.
........(1)
Velocity of sound wave is given by :




Hence, when the speakers are in phase the smallest distance between the speakers for which the interference of the sound waves is perfectly destructive is 0.25 m.
(2) For constructive interference, the path difference is integral multiple of wavelengths i.e.
( n = integers )
Let n = 1
So, 


Hence, the smallest distance between the speakers for which the interference of the sound waves is maximum constructive is 0.5 m.
Answer:

29010.53917 m
Explanation:
= Density of asteroid = 2 g/cm³
V = Volume
d = Diameter = 10 km
r = Radius = 
v = Velocity = 11 km/s
= Heat vaporization of water = 
= Change in temperature = 100-20
Mass is given by

The kinetic energy is

Heat is given by

Mass of water is 
Volume is 
Amount of water is 
If it were a cube

The height of the water would be 29010.53917 m
Answer:
16.12
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