Answer

Verified

437.7k+ views

**Hint:-**

If the force applied is more than the area of the cross section then the applied pressure will be more and if the area of the cross section is very less than the applied force then also the pressure experienced will be more.

Formula used: The formula of pressure is given by,$P = \dfrac{F}{A}$ where P is the pressure F is the force applied on the body and A is the area of cross-section.

**Complete step-by-step solution**

It is given in the problem that a nail head is put a force of 20 Pa and the problem is asking us to find the value of pressure exerted at the wall by the nail and it is given that the area of the tip of nail is $\dfrac{1}{{10}}$ of the area of the head of the nail.

It is given that the pressure on the head of the nail is 20 Pa and the pressure on the nail head is given by,

$P = \dfrac{F}{A}$

Where P is the pressure F is the force applied on the body and A is the area of cross-section.

$ \Rightarrow 20 = \dfrac{F}{A}$ (as the pressure on the nail head is given by 20 Pa).

$ \Rightarrow F = 20 \cdot A$………eq. (1)

Now let us calculate the value of the pressure exerted by the nail on the wall.

$P = \dfrac{F}{A}$

Where P is the pressure F is the force applied on the body and A is the area of cross-section.

$ \Rightarrow {P_1} = \dfrac{F}{{{A_1}}}$

$ \Rightarrow {P_1} = \dfrac{F}{{\left( {\dfrac{A}{{10}}} \right)}}$

Replace the value of the force from the equation (1).

$ \Rightarrow {P_1} = \dfrac{{20 \cdot A}}{{\left( {\dfrac{A}{{10}}} \right)}}$

$ \Rightarrow {P_1} = 200Pa$.

The pressure exerted on the wall is equal to ${P_1} = 200Pa$. The correct option for this problem is option C.

**Note:-**In this problem it is given that a force is applied on a nail and they are asking us to find the value of the pressure experienced by the wall so here we should understand that the applied force here is not change but only the area of cross section will change when we consider the nail and when we consider the surface area of the tip of nail.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

How do you graph the function fx 4x class 9 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE