Answer
Verified
39.9k+ views
Hint: As we all know that force is just an effort applied at a point to move some object or body. But if the value of the same force is increased on that particular area then we can say that the intensity of force is increased and we need to define a new quantity and that is pressure.
Complete step by step answer:
We should keep in mind that pressure is the force applied on the unit area of the surface. Pressure can be represented as:
$P = \dfrac{W}{A}$ …… (I)
Here $P$ is the pressure, $W$ is the force applied and $A$ is the surface area. Therefore, we can see that pressure depends on force and surface area.
Pressure has the characteristics of proportionality factor. Area is something which gives us the direction and pressure is defined everywhere in the volume of the bulk and not just only at the surface. A gas inside the container has a pressure everywhere overall the bulk volume.
Now we can see that the slope of P vs W graph is,
$ \Rightarrow m = \dfrac{P}{W}$ ….. (II)
Here m is the slope.
Now from equation (I), we can write equation (II) as,
$ \Rightarrow m = \dfrac{P}{W} = \dfrac{1}{A} = C$
Here, now C is the constant since the surface area A is constant. Therefore, we can say that the graph would be having a linear positive slope.
Therefore, the correct option is (D).
Note: In this problem the bottom most toy brick feels the pressure due to the reaction(normal) from the surface and also from the upper toy bricks, these pressures act on the lower and upper surface of the toy brick respectively. But while solving this problem we have only considered pressure on the surface due to the entire toy brick system.
Complete step by step answer:
We should keep in mind that pressure is the force applied on the unit area of the surface. Pressure can be represented as:
$P = \dfrac{W}{A}$ …… (I)
Here $P$ is the pressure, $W$ is the force applied and $A$ is the surface area. Therefore, we can see that pressure depends on force and surface area.
Pressure has the characteristics of proportionality factor. Area is something which gives us the direction and pressure is defined everywhere in the volume of the bulk and not just only at the surface. A gas inside the container has a pressure everywhere overall the bulk volume.
Now we can see that the slope of P vs W graph is,
$ \Rightarrow m = \dfrac{P}{W}$ ….. (II)
Here m is the slope.
Now from equation (I), we can write equation (II) as,
$ \Rightarrow m = \dfrac{P}{W} = \dfrac{1}{A} = C$
Here, now C is the constant since the surface area A is constant. Therefore, we can say that the graph would be having a linear positive slope.
Therefore, the correct option is (D).
Note: In this problem the bottom most toy brick feels the pressure due to the reaction(normal) from the surface and also from the upper toy bricks, these pressures act on the lower and upper surface of the toy brick respectively. But while solving this problem we have only considered pressure on the surface due to the entire toy brick system.
Recently Updated Pages
silver wire has diameter 04mm and resistivity 16 times class 12 physics JEE_Main
A parallel plate capacitor has a capacitance C When class 12 physics JEE_Main
A series combination of n1 capacitors each of value class 12 physics JEE_Main
When propyne is treated with aqueous H2SO4 in presence class 12 chemistry JEE_Main
Which of the following is not true in the case of motion class 12 physics JEE_Main
The length of a potentiometer wire is 10m The distance class 12 physics JEE_MAIN
Other Pages
when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
A closed organ pipe and an open organ pipe are tuned class 11 physics JEE_Main
Dissolving 120g of urea molwt60 in 1000g of water gave class 11 chemistry JEE_Main
Explain the construction and working of a GeigerMuller class 12 physics JEE_Main
If a wire of resistance R is stretched to double of class 12 physics JEE_Main