8. mechanical properties of solids - Gujarat Board (GSEB) STD 11 Science Physics Questions

Q 1M.C.Q (1 Marks)1 Mark

The maximum elongation of a steel wire of $1 \mathrm{~m}$ length if the elastic limit of steel and its Young's modulus, respectively, are $8 \times 10^8 \mathrm{~N} \mathrm{~m}^{-2}$ and $2 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}$, is:

A
$0.4 \mathrm{~mm}$
B
$40 \mathrm{~mm}$
C
$8 \mathrm{~mm}$
✓
$4 \mathrm{~mm}$

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight $W$ attached at its free end. The longitudinal stress at any point of cross-sectional area $A$ of the wire is :

A
Zero
B
$2 W / A$
✓
$W / A$
D
$W / 2 A$

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark

Given below are two statements: One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.

Assertion $(A)$:The stretching of a spring is determined by the shear modulus of the material of the spring.

Reason $(R)$:A coil spring of copper has more tensile strength than a steel spring of same dimensions.

In the light of the above statements, choose the most appropriate answer from the options given below:

A
Both $(A)$ and $(R)$ are true and $(R)$ is not the correct explanation of $(A)$
✓
$(A)$ is true but $(R)$ is false
C
$(A)$ is false but $(R)$ is true
D
Both $(A)$ and $(R)$ are true and $(R)$ is the correct explanation of $(A)$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

A wire of length $L,$ area of cross section $A$ is hanging from a fixed support. The length of the wire changes to $L_{1}$ when mass $M$ is suspended from its free end. The expression for Young's modulus is

✓
$\frac{ MgL }{ A \left( L _{1}- L \right)}$
B
$\frac{ MgL _{1}}{ AL }$
C
$\frac{ Mg \left( L _{1}- L \right)}{ AL }$
D
$\frac{ MgL }{ AL _{1}}$

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark

The stress-strain curves are drawn for two different materials $X$ and $Y$. It is observed that the ultimate strength point and the fracture point are close to each other for material $X$ but are far apart for material $Y$. We can say that materials $X$ and $Y$ are likely to be (respectively)

A
ductile and brittle
✓
brittle and ductile
C
brittle and plastic
D
plastic and ductile

Answer: B.

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8. mechanical properties of solids Physics - 8. mechanical properties of solids

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