Answer:
wavelength of the standing wave will be equal to 30 cm
Explanation:
We have given length of the guitar string L = 60 cm
Mass per unit length ![\mu =2gram/m](https://tex.z-dn.net/?f=%5Cmu%20%3D2gram%2Fm)
Frequency is given f = 660 Hz
We have to find the wavelength of the standing wave
Length of the string will be 2 times of the wavelength of the wave
So ![L=2\lambda](https://tex.z-dn.net/?f=L%3D2%5Clambda)
![\lambda =\frac{L}{2}=\frac{60}{2}=30cm](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7BL%7D%7B2%7D%3D%5Cfrac%7B60%7D%7B2%7D%3D30cm)
So wavelength of the standing wave will be equal to 30 cm
If we wish to cross the river in such a way that we reach directly opposite to the bank then in that case the velocity parallel to the flow of river must be ZERO
So here the let say he start his motion at some angle "theta" with the shore
So the velocity opposite to the flow of river must be same as the velocity of river so that it will cancel out
now here we can say
![v cos\theta = v_r](https://tex.z-dn.net/?f=v%20cos%5Ctheta%20%3D%20v_r)
given that
v = 0.763 m/s
![v_r = 0.677 m/s](https://tex.z-dn.net/?f=v_r%20%3D%200.677%20m%2Fs)
now from above equation
![0.763 cos\theta = 0.677](https://tex.z-dn.net/?f=0.763%20cos%5Ctheta%20%3D%200.677)
![cos\theta = 0.887](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%200.887)
now the angle is given as
![\theta = 27.5 degree](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2027.5%20degree)
Answer:
The acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
Explanation:
Given that,
Mass of the planet, m = 1/2M
Radius of the planet, r = 2R
Where M and R is the mass and radius of the Earth respectively.
The acceleration due to gravity of Earth, g = 10 m/s²
The acceleration due to gravity of Earth is given by the relation,
g = GM/R²
Similarly, the acceleration due to gravity of that planet is
gₐ = Gm/r²
where G is the Universal gravitational constant
On substituting the values in the above equation
gₐ = G (1/2 M)/4 R²
= GM/8R²
= 1/8 ( 10 m/s²)
= 1.25 m/s²
Hence, the acceleration due to gravity of that planet is, gₐ = 1.25 m/s²
Answer: representative sample
Explanation:
A representative sample can be defined as a subset of the population. This sample includes subgroups that reflect the features of the larger group and are chosen for a specific purpose of study. For example, a classroom with 60 students having 30 females and 30 males, can generate a representative sample based on the gender differences.