(A) Given,mass of the body,$m = 50 \, kg$.Acceleration due to gravity,$g = 10 \, m/s^2$.Total area of cross-section of two thigh bones,$A = 2 \times 1

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(A) Given,mass of the body,$m = 50 \, kg$.Acceleration due to gravity,$g = 10 \, m/s^2$.Total area of cross-section of two thigh bones,$A = 2 \times 10 \, cm^2 = 20 \, cm^2$.Converting area to $m^2$: $A = 20 \times 10^{-4} \, m^2 = 2 \times 10^{-3} \, m^2$.The force exerted by the upper part of the body is equal to its weight,$F = mg = 50 \times 10 = 500 \, N$.Pressure $P = \frac{F}{A} = \frac{500}{2 \times 10^{-3}} = 250 \times 10^3 = 2.5 \times 10^5 \, N/m^2$.

Class 11 Physics Mechanical Properties of Solids Basic of Elasticity, Stress and Strain relationship and Graphical analysis

Medium

The two thigh bones (femurs),each of cross-sectional area $10 \, cm^2$,support the upper part of a person of mass $50 \, kg$. The average pressure sustained by the femurs is ............. $N/m^2$.

A
$2.5 \times 10^5$
B
$4 \times 10^5$
C
$5 \times 10^5$
D
$10^6$

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Mechanical Properties of Solids

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Basic of Elasticity, Stress and Strain relationship and Graphical analysis

$Assertion:$ Stress is the internal restoring force per unit area of a body.
$Reason:$ Rubber is more elastic than steel.

EasyAIIMS 2002

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What is called a brittle material? What is called a ductile material?

Medium

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Match the physical quantities in Column-$I$ with the details given in Column-$II$ appropriately:

Column-$I$ Column-$II$

$(a)$ $\text{Stress} \propto \text{Strain}$ $(i)$ $M^1 L^{-1} T^{-2}$

$(b)$ $\text{Dimensional formula for compressibility}$ $(ii)$ $M^{-1} L^1 T^2$

$(iii)$ $\text{Poisson's ratio}$

$(iv)$ $\text{Hooke's law}$

Column-$I$	Column-$II$
$(a)$ $\text{Stress} \propto \text{Strain}$	$(i)$ $M^1 L^{-1} T^{-2}$
$(b)$ $\text{Dimensional formula for compressibility}$	$(ii)$ $M^{-1} L^1 T^2$
	$(iii)$ $\text{Poisson's ratio}$
	$(iv)$ $\text{Hooke's law}$

Easy

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The ratio of radii of two wires of same material is $2: 1$. If these wires are stretched by equal force,the ratio of stresses produced in them is .............

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One end of a wire of length $L$ and weight $W$ is attached to a ceiling,and the other end is attached to a weight $W_1$. If the cross-sectional area of the wire is $S$,what is the stress at a distance $3L/4$ from the lower end of the wire?

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The two thigh bones (femurs),each of cross-sectional area $10 \, cm^2$,support the upper part of a person of mass $50 \, kg$. The average pressure sustained by the femurs is ............. $N/m^2$.

Similar Questions

$Assertion:$ Stress is the internal restoring force per unit area of a body.$Reason:$ Rubber is more elastic than steel.

What is called a brittle material? What is called a ductile material?

The ratio of radii of two wires of same material is $2: 1$. If these wires are stretched by equal force,the ratio of stresses produced in them is .............

One end of a wire of length $L$ and weight $W$ is attached to a ceiling,and the other end is attached to a weight $W_1$. If the cross-sectional area of the wire is $S$,what is the stress at a distance $3L/4$ from the lower end of the wire?

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$Assertion:$ Stress is the internal restoring force per unit area of a body.
$Reason:$ Rubber is more elastic than steel.