The correct options are B and C
Let us assume the amplitude of the two sinusoidal waves be A1 and A2
As it is mentioned that the waves are identical, therefore A1=A2= a
The resultant wave of any two waves is given by the formula:
Resultant wave=
where A1 and A2 are amplitudes of waves 1 and 2 and is the angle between the waves
Now as per the formula, it is the the factor 2cos that will decide that amplitude is greater than original or not
Hence we know that maximum value of cos is when is 0 degrees
Now it is known that value of cos varies from 1 to 0 for o degrees to π/2
and the value varies from 0 to -1 for angles π/2 to π
Case 1: when =0 degree
Resultant wave R =
Case 2: When is less than 90
let us consider
Resultant wave R =
case 3:
When is less than 120
case 4: when is less than 180 degrees
the value will be 0
Hence only option b and d are correct
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In order to calculate the time taken by the snowball to reach the highest point in its journey, we need to consider the variables along the y-direction.
Let us list out what we know from the question so that we can decide on the equation to be used.
We know that Initial Y Velocity = 8.4 m/s
Acceleration in the Y direction = -9.8 m/, since the acceleration due to gravity points in the downward direction.
Final Y Velocity = 0 because at the highest point in its path, an object comes to rest momentarily before falling down.
Time taken t = ?
From the list above, it is easy to see that the equation that best suits our purpose here is
Plugging in the numbers, we get 0 = 8.4 - (9.8)t
Solving for t, we get t = 0.857 s
Therefore, the snowball takes 0.86 seconds to reach its highest point.
Answer:
n=770,880.
Explanation:
Given that
P= 2200 MW
Power of wind farm = 0.4 or 40%
So the power produce by wind farm = 0.4 x P
P'=0.4 x 2200 MW
P'=880 MW
P'=880,000 KW
We know that
1 year = 365 days
1 day = 24 hr
So
1 year = 365 x 24 hr
1 year = 8760
So the energy produce in one year
E= 8760 x P'
E= 8760 x 880,000 KW
Given that average house hold use 10,000 KW-hr
So lets take total n number of house hold use power
E= n x 10,1000
n=770,880.