00. Elasticity, Stress, Strain and Hooke's law
Mechanical Properties of Solids

140931 The neck and bottom of a bottle are $3 \mathrm{~cm}$ and $15 \mathrm{~cm}$ in radius respectively. If the cork is pressed with a force $12 \mathrm{~N}$ in the neck of the bottle, then force exerted on the bottom of the bottle is

1 $30 \mathrm{~N}$
2 $150 \mathrm{~N}$
3 $300 \mathrm{~N}$
4 $600 \mathrm{~N}$
Mechanical Properties of Solids

140932 A steel rod has a radius $R=9.5 \mathrm{~mm}$ and length $L=81 \mathrm{~cm}$. A force $F=6.2 \times 10^{4} \mathrm{~N}$ stretches it along its length. What is the stress in the rod?

1 $0.95 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
2 $1.1 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
3 $2.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
4 $3.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

140933 A light rod of length $100 \mathrm{~cm}$ is suspended from the selling horizontally by means of two vertical wires of equal lengths tied to the ends of the rod. One of the wires is made of steel and is of area of cross-section $0.1 \mathrm{~cm}^{2}$. The other wire is of brass and of area of cross section 0.1 $\mathrm{cm}^{2}$. The other wire is of brass and of area of cross-section $0.2 \mathrm{~cm}^{2}$. The position form the steel wire along the rod at which a load is to be placed to produce equal stresses in both wires is $\left(Y_{\text {steel }}=20 \times 10^{11}\right.$ dyne $\mathrm{cm}^{-2}, Y_{\text {brass }}=10 \times 10^{11}$ dyne $\mathrm{cm}^{-2}$ )

1 $\frac{100}{3} \mathrm{~cm}$
2 $\frac{200}{3} \mathrm{~cm}$
3 $50 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Solids

140934 Assertion (A) Ductile metals are used to prepare thin wires.
Reason (R) In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

1 Both (A) and (R) are true and (R) is the correct explanation of $(\mathrm{A})$
2 Both (A) and (R) are true but (R) is not the correct explanation of (A)
3 (A) is true but $(\mathrm{R})$ is false
4 (A) is false but (R) is true
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

140931 The neck and bottom of a bottle are $3 \mathrm{~cm}$ and $15 \mathrm{~cm}$ in radius respectively. If the cork is pressed with a force $12 \mathrm{~N}$ in the neck of the bottle, then force exerted on the bottom of the bottle is

1 $30 \mathrm{~N}$
2 $150 \mathrm{~N}$
3 $300 \mathrm{~N}$
4 $600 \mathrm{~N}$
Mechanical Properties of Solids

140932 A steel rod has a radius $R=9.5 \mathrm{~mm}$ and length $L=81 \mathrm{~cm}$. A force $F=6.2 \times 10^{4} \mathrm{~N}$ stretches it along its length. What is the stress in the rod?

1 $0.95 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
2 $1.1 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
3 $2.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
4 $3.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

140933 A light rod of length $100 \mathrm{~cm}$ is suspended from the selling horizontally by means of two vertical wires of equal lengths tied to the ends of the rod. One of the wires is made of steel and is of area of cross-section $0.1 \mathrm{~cm}^{2}$. The other wire is of brass and of area of cross section 0.1 $\mathrm{cm}^{2}$. The other wire is of brass and of area of cross-section $0.2 \mathrm{~cm}^{2}$. The position form the steel wire along the rod at which a load is to be placed to produce equal stresses in both wires is $\left(Y_{\text {steel }}=20 \times 10^{11}\right.$ dyne $\mathrm{cm}^{-2}, Y_{\text {brass }}=10 \times 10^{11}$ dyne $\mathrm{cm}^{-2}$ )

1 $\frac{100}{3} \mathrm{~cm}$
2 $\frac{200}{3} \mathrm{~cm}$
3 $50 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Solids

140934 Assertion (A) Ductile metals are used to prepare thin wires.
Reason (R) In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

1 Both (A) and (R) are true and (R) is the correct explanation of $(\mathrm{A})$
2 Both (A) and (R) are true but (R) is not the correct explanation of (A)
3 (A) is true but $(\mathrm{R})$ is false
4 (A) is false but (R) is true
Mechanical Properties of Solids

140931 The neck and bottom of a bottle are $3 \mathrm{~cm}$ and $15 \mathrm{~cm}$ in radius respectively. If the cork is pressed with a force $12 \mathrm{~N}$ in the neck of the bottle, then force exerted on the bottom of the bottle is

1 $30 \mathrm{~N}$
2 $150 \mathrm{~N}$
3 $300 \mathrm{~N}$
4 $600 \mathrm{~N}$
Mechanical Properties of Solids

140932 A steel rod has a radius $R=9.5 \mathrm{~mm}$ and length $L=81 \mathrm{~cm}$. A force $F=6.2 \times 10^{4} \mathrm{~N}$ stretches it along its length. What is the stress in the rod?

1 $0.95 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
2 $1.1 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
3 $2.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
4 $3.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

140933 A light rod of length $100 \mathrm{~cm}$ is suspended from the selling horizontally by means of two vertical wires of equal lengths tied to the ends of the rod. One of the wires is made of steel and is of area of cross-section $0.1 \mathrm{~cm}^{2}$. The other wire is of brass and of area of cross section 0.1 $\mathrm{cm}^{2}$. The other wire is of brass and of area of cross-section $0.2 \mathrm{~cm}^{2}$. The position form the steel wire along the rod at which a load is to be placed to produce equal stresses in both wires is $\left(Y_{\text {steel }}=20 \times 10^{11}\right.$ dyne $\mathrm{cm}^{-2}, Y_{\text {brass }}=10 \times 10^{11}$ dyne $\mathrm{cm}^{-2}$ )

1 $\frac{100}{3} \mathrm{~cm}$
2 $\frac{200}{3} \mathrm{~cm}$
3 $50 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Solids

140934 Assertion (A) Ductile metals are used to prepare thin wires.
Reason (R) In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

1 Both (A) and (R) are true and (R) is the correct explanation of $(\mathrm{A})$
2 Both (A) and (R) are true but (R) is not the correct explanation of (A)
3 (A) is true but $(\mathrm{R})$ is false
4 (A) is false but (R) is true
Mechanical Properties of Solids

140931 The neck and bottom of a bottle are $3 \mathrm{~cm}$ and $15 \mathrm{~cm}$ in radius respectively. If the cork is pressed with a force $12 \mathrm{~N}$ in the neck of the bottle, then force exerted on the bottom of the bottle is

1 $30 \mathrm{~N}$
2 $150 \mathrm{~N}$
3 $300 \mathrm{~N}$
4 $600 \mathrm{~N}$
Mechanical Properties of Solids

140932 A steel rod has a radius $R=9.5 \mathrm{~mm}$ and length $L=81 \mathrm{~cm}$. A force $F=6.2 \times 10^{4} \mathrm{~N}$ stretches it along its length. What is the stress in the rod?

1 $0.95 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
2 $1.1 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
3 $2.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
4 $3.2 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
Mechanical Properties of Solids

140933 A light rod of length $100 \mathrm{~cm}$ is suspended from the selling horizontally by means of two vertical wires of equal lengths tied to the ends of the rod. One of the wires is made of steel and is of area of cross-section $0.1 \mathrm{~cm}^{2}$. The other wire is of brass and of area of cross section 0.1 $\mathrm{cm}^{2}$. The other wire is of brass and of area of cross-section $0.2 \mathrm{~cm}^{2}$. The position form the steel wire along the rod at which a load is to be placed to produce equal stresses in both wires is $\left(Y_{\text {steel }}=20 \times 10^{11}\right.$ dyne $\mathrm{cm}^{-2}, Y_{\text {brass }}=10 \times 10^{11}$ dyne $\mathrm{cm}^{-2}$ )

1 $\frac{100}{3} \mathrm{~cm}$
2 $\frac{200}{3} \mathrm{~cm}$
3 $50 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Solids

140934 Assertion (A) Ductile metals are used to prepare thin wires.
Reason (R) In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

1 Both (A) and (R) are true and (R) is the correct explanation of $(\mathrm{A})$
2 Both (A) and (R) are true but (R) is not the correct explanation of (A)
3 (A) is true but $(\mathrm{R})$ is false
4 (A) is false but (R) is true