Answer:
![g=274\ m/s^2](https://tex.z-dn.net/?f=g%3D274%5C%20m%2Fs%5E2)
Explanation:
Mass of the Sun, ![M=1.99\times 10^{30}\ kg](https://tex.z-dn.net/?f=M%3D1.99%5Ctimes%2010%5E%7B30%7D%5C%20kg)
The radius of the Sun, ![r=6.96\times 10^8\ m](https://tex.z-dn.net/?f=r%3D6.96%5Ctimes%2010%5E8%5C%20m)
We need to find the acceleration due to gravity on the surface of the Sun. It is given by the formula as follows :
![g=\dfrac{GM}{r^2}\\\\g=\dfrac{6.67\times 10^{-11}\times 1.99\times 10^{30}}{(6.96\times 10^8)^2}\\\\g=274\ m/s^2](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7BGM%7D%7Br%5E2%7D%5C%5C%5C%5Cg%3D%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%201.99%5Ctimes%2010%5E%7B30%7D%7D%7B%286.96%5Ctimes%2010%5E8%29%5E2%7D%5C%5C%5C%5Cg%3D274%5C%20m%2Fs%5E2)
So, the value of acceleration due to gravity on the Sun is
.
Organelles are small structures found in cells that carry out certain tasks. Two examples of organelles are the Nucleus and the Mitochondria. Think of the nucleus as the brain of its cell, it controls activities and it contains a majority of the cells genetic material. The mitochondria is the part of the cells tasked with cellular respiration, which is the act of taking nutrients from a cell and turning it into energy.
Answer:
The energy in its ground state is 10 meV.
Explanation:
It is given that,
The energy of the electron in its first excited state is 40 meV.
Energy of the electron in any state is given by :
![E=\dfrac{n^2\pi^2h^2}{8mL^2}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bn%5E2%5Cpi%5E2h%5E2%7D%7B8mL%5E2%7D)
For ground state, n = 1
.............(1)
For first excited state, n = 2
.............(2)
Dividing equation (1) and (2), we get :
![\dfrac{E_1}{40}=\dfrac{1}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7BE_1%7D%7B40%7D%3D%5Cdfrac%7B1%7D%7B4%7D)
![E_1=10\ meV](https://tex.z-dn.net/?f=E_1%3D10%5C%20meV)
So, the energy in its ground state is 10 meV. Hence, this is the required solution.
Answer:
The image distance is 17.56 cm
Explanation:
We have,
Height of light bulb is 3 cm.
The light bulb is placed at a distance of 50 cm. It means object distance is, u =-50 cm
Focal length of the lens, f = +13 cm
Let v is distance between image and the lens. Using lens formula :
![\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{13}+\dfrac{1}{(-50)}\\\\v=17.56\ cm](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bf%7D%3D%5Cdfrac%7B1%7D%7Bv%7D-%5Cdfrac%7B1%7D%7Bu%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7Bf%7D%2B%5Cdfrac%7B1%7D%7Bu%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7Bv%7D%3D%5Cdfrac%7B1%7D%7B13%7D%2B%5Cdfrac%7B1%7D%7B%28-50%29%7D%5C%5C%5C%5Cv%3D17.56%5C%20cm)
So, the image distance is 17.56 cm.
Answer:
The height of the building is 8,302.5 m
Explanation:
Given;
velocity of the projectile, u = 36 m/s
time of motion, t = 45 s
Let the upward direction of the bullet be negative,
The height of the building is calculated as;
![h = ut - \frac{1}{2} gt^2\\\\h = (36\times 45) - (\frac{1}{2} \times 9.8 \times 45^2)\\\\h = 1620 - 9922.5\\\\h = -8,302.5 \ m\\\\The \ height \ of \ the \ building \ is \ 8,302.5 \ m](https://tex.z-dn.net/?f=h%20%3D%20ut%20-%20%5Cfrac%7B1%7D%7B2%7D%20gt%5E2%5C%5C%5C%5Ch%20%3D%20%2836%5Ctimes%2045%29%20-%20%28%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%209.8%20%5Ctimes%2045%5E2%29%5C%5C%5C%5Ch%20%3D%201620%20-%209922.5%5C%5C%5C%5Ch%20%3D%20-8%2C302.5%20%5C%20m%5C%5C%5C%5CThe%20%5C%20height%20%5C%20of%20%5C%20the%20%5C%20building%20%5C%20is%20%5C%208%2C302.5%20%20%5C%20m)