To solve this problem we will apply the Pascal principle. This law establishes that the pressure exerted on an incompressible fluid and in equilibrium within a container of non-deformable walls is transmitted with equal intensity in all directions and at all points of the fluid.
Mathematically the relationship is given as
![\frac{F_1}{A_1} = \frac{F_2}{A_2}](https://tex.z-dn.net/?f=%5Cfrac%7BF_1%7D%7BA_1%7D%20%3D%20%5Cfrac%7BF_2%7D%7BA_2%7D)
Since it is a circular piston the area will be given as
![A = \pi (\frac{d}{2})^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%28%5Cfrac%7Bd%7D%7B2%7D%29%5E2)
Replacing,
![\frac{F_1}{\pi (\frac{d_1}{2})^2 } = \frac{F_2}{\pi (\frac{d_2}{2})^2 }](https://tex.z-dn.net/?f=%5Cfrac%7BF_1%7D%7B%5Cpi%20%28%5Cfrac%7Bd_1%7D%7B2%7D%29%5E2%20%7D%20%3D%20%5Cfrac%7BF_2%7D%7B%5Cpi%20%28%5Cfrac%7Bd_2%7D%7B2%7D%29%5E2%20%7D)
![F_2 = (\frac{d_2}{d_1})^2 F_1](https://tex.z-dn.net/?f=F_2%20%3D%20%28%5Cfrac%7Bd_2%7D%7Bd_1%7D%29%5E2%20F_1)
Our values are given as
![F_1 = 250N\\ d_2 = 0.5m\\d_1 = 0.1m](https://tex.z-dn.net/?f=F_1%20%3D%20250N%5C%5C%20d_2%20%3D%200.5m%5C%5Cd_1%20%3D%200.1m)
Replacing we have that
![F_2 = (\frac{0.5}{0.1})^2(250)](https://tex.z-dn.net/?f=F_2%20%3D%20%28%5Cfrac%7B0.5%7D%7B0.1%7D%29%5E2%28250%29)
![F_2 = 6250N](https://tex.z-dn.net/?f=F_2%20%3D%206250N)
Therefore the wieght that can be lifted is 6250N
The heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).
Answer:
The correct answer is B negative y-direction
Explanation:
An electromagnetic wave is created by the fluctuation of the electric and magnetic fields, which are perpendicular to each other, the direction of propagation is perpendicular to these two fields.
Let's apply the above to our problem, the wave propagates in the positive direction of the z-axis so that the electric and magnetic fields must be in the xy plane
They express that the electric field is in the negative direction of the x-axis, for the direction of the other field, we can make the vectoial product E x B with the result must be in positive z the only way is that the magnetic field (B) is in the negative direction of the y axis
The correct answer is B negative y-direction
Answer:
Option (b).
Explanation:
A star is a heavenly body which emits a tremendous amount of energy by the reaction of nuclear fusion.
Sun is the smallest star in the universe.
The star stars from the proto star, this is the process of birth of a star. Then it collapse due to the gravitational pull and then it tarts emit light and energy and become a star.
After the long long time, it starts to decay and become a neutron star or the black hole.
So, the correct option is (b).