Ans: Beat Frequency = 1.97HzExplanation:
The fundamental frequency on a vibrating string is

<span> -- (A)</span>
<span>here, T=Tension in the string=56.7N,
L=Length of the string=0.66m,
m= mass = 8.3x10^-4kg/m * 0.66m = 5.48x10^-4kg </span>
Plug in the values in Equation (A)
<span>so </span>

<span> = 197.97Hz </span>
<span>the beat frequency is the difference between these two frequencies, therefore:
Beat frequency = 197.97 - 196.0 = 1.97Hz
-i</span>
Answer:14 m
Explanation:
Given
Vertical jump make by the dolphin is given by 
Suppose the dolphin jump with an initial velocity of 
so u is given by 
If dolphin launches at an angle
then maximum horizontal range is given by
assuming the of Dolphin to be Projectile so range is given by

substitute the value of 


Range will be maximum for 
thus 
To solve this problem we will use the kinematic equations of angular motion in relation to those of linear / tangential motion.
We will proceed to find the centripetal acceleration (From the ratio of the radius and angular velocity to the linear velocity) and the tangential acceleration to finally find the total acceleration of the body.
Our data is given as:
The angular speed
The angular acceleration
The distance
The relation between the linear velocity and angular velocity is

Where,
r = Radius
Angular velocity
At the same time we have that the centripetal acceleration is






Now the tangential acceleration is given as,

Here,
Angular acceleration
r = Radius


Finally using the properties of the vectors, we will have that the resulting component of the acceleration would be



Therefore the correct answer is C.
Answer:
use of pesticides increasing insect resistance
Explanation:
Pesticides are the chemicals used to kill or stop the growth of insects or pests in crops and plants.
Pesticides are used from a very long time and repeated use of same pesticide allowed insects to get use to of it and evolve themselves in a way that they become resistant to these pesticide, so pesticide do not have any effect on insects.
Hence, the correct answer is "use of pesticides increasing insect resistance".