Answer:
1.78 rad/s
1.70344 rad/s
Explanation:
v = Velocity = 0.8 m/s
m = Mass of person = 60 kg
= Distance between center of mass of person and pole = 0.45 m
= New distance between center of mass of person and pole = 0.46 m
I = Moment of inertia
Angular speed is given by
![\omega_1=\dfrac{v}{r_1}\\\Rightarrow \omega_1=\dfrac{0.8}{0.45}\\\Rightarrow \omega_1=1.78\ rad/s](https://tex.z-dn.net/?f=%5Comega_1%3D%5Cdfrac%7Bv%7D%7Br_1%7D%5C%5C%5CRightarrow%20%5Comega_1%3D%5Cdfrac%7B0.8%7D%7B0.45%7D%5C%5C%5CRightarrow%20%5Comega_1%3D1.78%5C%20rad%2Fs)
The angular speed is 1.78 rad/s
In this system the angular momentum is conserved
![L_1=L_2\\\Rightarrow I_1\omega_1=I_2\omega_2\\\Rightarrow mr_1^2\omega_1=mr_2^2\omega_2\\\Rightarrow \omega_2=\dfrac{r_1^2\omega_1}{r_2^2}\\\Rightarrow \omega_2=\dfrac{0.45^2\times 1.78}{0.46^2}\\\Rightarrow \omega_2=1.70344\ rad/s](https://tex.z-dn.net/?f=L_1%3DL_2%5C%5C%5CRightarrow%20I_1%5Comega_1%3DI_2%5Comega_2%5C%5C%5CRightarrow%20mr_1%5E2%5Comega_1%3Dmr_2%5E2%5Comega_2%5C%5C%5CRightarrow%20%5Comega_2%3D%5Cdfrac%7Br_1%5E2%5Comega_1%7D%7Br_2%5E2%7D%5C%5C%5CRightarrow%20%5Comega_2%3D%5Cdfrac%7B0.45%5E2%5Ctimes%201.78%7D%7B0.46%5E2%7D%5C%5C%5CRightarrow%20%5Comega_2%3D1.70344%5C%20rad%2Fs)
The new angular speed is 1.70344 rad/s
Answer with Explanation:
We are given that
![r=0.053 nm=0.053\times 10^{-9} m](https://tex.z-dn.net/?f=r%3D0.053%20nm%3D0.053%5Ctimes%2010%5E%7B-9%7D%20m)
![1 nm=10^{-9} m](https://tex.z-dn.net/?f=1%20nm%3D10%5E%7B-9%7D%20m)
Charge on proton,q=![1.6\times 10^{-19} C](https://tex.z-dn.net/?f=1.6%5Ctimes%2010%5E%7B-19%7D%20C)
a.We have to find the electric potential of the proton at the position of the electron.
We know that the electric potential
![V=\frac{kq}{r}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bkq%7D%7Br%7D)
Where ![k=9\times 10^9](https://tex.z-dn.net/?f=k%3D9%5Ctimes%2010%5E9)
![V=\frac{9\times 10^9\times 1.6\times 10^{-19}}{0.053\times 10^{-9}}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B9%5Ctimes%2010%5E9%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B0.053%5Ctimes%2010%5E%7B-9%7D%7D)
![V=27.17 V](https://tex.z-dn.net/?f=V%3D27.17%20V)
B.Potential energy of electron,U=![\frac{kq_e q_p}{r}](https://tex.z-dn.net/?f=%5Cfrac%7Bkq_e%20q_p%7D%7Br%7D)
Where
Charge on electron
=Charge on proton
Using the formula
![U=\frac{9\times 10^9\times (-1.6\times 10^{-19}\times 1.6\times 10^{-19}}{0.053\times 10^{-9}}](https://tex.z-dn.net/?f=U%3D%5Cfrac%7B9%5Ctimes%2010%5E9%5Ctimes%20%28-1.6%5Ctimes%2010%5E%7B-19%7D%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B0.053%5Ctimes%2010%5E%7B-9%7D%7D)
![U=-4.35\times 10^{-18} J](https://tex.z-dn.net/?f=U%3D-4.35%5Ctimes%2010%5E%7B-18%7D%20J)
<h2>♨ANSWER♥</h2>
length of V-50 = 49mm
length of V-1 = 49/50mm
= 0.98mm
so,
minor measurement = (M-1) - (V-1)
= 1mm -0.98mm
= 0.02mm
☆ Therefore,
The minor measurement of the vernier scale is 0.02mm.
<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>
_♡_<em>mashi</em>_♡_
warm fluids are less dense than cold fluids
Answer:
The appropriate solution is "2.78 mm".
Explanation:
Given:
![\lambda = 720 \ nm](https://tex.z-dn.net/?f=%5Clambda%20%3D%20720%20%5C%20nm)
or,
![= 720\times 10^{-9} \ m](https://tex.z-dn.net/?f=%3D%20720%5Ctimes%2010%5E%7B-9%7D%20%5C%20m)
![D=0.85 \ m](https://tex.z-dn.net/?f=D%3D0.85%20%5C%20m)
![d = 0.22 \ mm](https://tex.z-dn.net/?f=d%20%3D%200.22%20%5C%20mm)
or,
![=0.22 \times 10^{-3} \ m](https://tex.z-dn.net/?f=%3D0.22%20%5Ctimes%2010%5E%7B-3%7D%20%5C%20m)
As we know,
Fringe width is:
⇒ ![\beta=\frac{\lambda D}{d}](https://tex.z-dn.net/?f=%5Cbeta%3D%5Cfrac%7B%5Clambda%20D%7D%7Bd%7D)
hence,
Separation between second and third bright fringes will be:
⇒ ![\theta=\beta=\frac{\lambda D}{d}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cbeta%3D%5Cfrac%7B%5Clambda%20D%7D%7Bd%7D)
![=\frac{720\times 10^{-9}\times 0.85}{0.22\times 10^{-3}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B720%5Ctimes%2010%5E%7B-9%7D%5Ctimes%200.85%7D%7B0.22%5Ctimes%2010%5E%7B-3%7D%7D)
![=2.78\times 10^{-3} \ m](https://tex.z-dn.net/?f=%3D2.78%5Ctimes%2010%5E%7B-3%7D%20%5C%20m)
or,
![=2.78 \ mm](https://tex.z-dn.net/?f=%3D2.78%20%5C%20mm)