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

140849 Two springs having force constants $k_{1}$ and $k_{2}$ are stretched till their elastic energies are equal. If the forces required for stretching them were $F_{1}$ and $F_{2}$ respectively. Then find $F_{1}$ : $\mathbf{F}_{2}$.

1 $\mathrm{k}_{1}: \mathrm{k}_{2}$
2 $\sqrt{\mathrm{k}_{1}}: \sqrt{\mathrm{k}_{2}}$
3 $\mathrm{k}_{2}: \mathrm{k}_{1}$
4 $\mathrm{k}_{1}^{2}: \mathrm{k}_{2}^{2}$
Mechanical Properties of Solids

140851 A bob of mass $10 \mathrm{~kg}$ is attached to a wire of 0.3 $\mathrm{m}$ length. The breaking stress is $4.8 \times 10^{7} \mathrm{~N} \mathrm{~m}^{-}$ ${ }^{2}$. The area of cross-section from the wire is $10^{-6}$ $\mathbf{m}^{2}$. The maximum angular velocity with which it can be rotated in a horizontal circle is-

1 4 rad.s ${ }^{-1}$
2 8 rad.s $\mathrm{s}^{-1}$
3 $16 \mathrm{rad} . \mathrm{s}^{-1}$
4 $32 \mathrm{rad} . \mathrm{s}^{-1}$
Mechanical Properties of Solids

140853 An elevator of mass $2000 \mathrm{~kg}$ is hanging on a steel cable of diameter of $2 \mathrm{~cm}$. What is the maximum acceleration with which the elevator can move up before the cable snaps, if the maximum stress of the cable can withstand is $10^{8} \mathrm{~N} / \mathrm{m}^{2}$

1 $5 \pi$
2 $5(\pi+2)$
3 $5(\pi-2)$
4 $10(2 \pi-1)$
Mechanical Properties of Solids

140854 Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $57^{\circ} \mathrm{C}$ is drunk. You can take body (tooth) temperature to be $37^{\circ} \mathrm{C}$ and $\alpha=1.7 \times 10^{-5}{ }^{\circ} \mathrm{C}$, bulk modulus for copper $B=140 \times 10^{9} \mathrm{Nm}^{-2}$.

1 $1.4 \times 10^{8} \mathrm{Nm}^{-2}$
2 $1.9 \times 10^{8} \mathrm{Nm}^{-2}$
3 $2.0 \times 10^{8} \mathrm{Nm}^{-2}$
4 $3.4 \times 10^{7} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

140849 Two springs having force constants $k_{1}$ and $k_{2}$ are stretched till their elastic energies are equal. If the forces required for stretching them were $F_{1}$ and $F_{2}$ respectively. Then find $F_{1}$ : $\mathbf{F}_{2}$.

1 $\mathrm{k}_{1}: \mathrm{k}_{2}$
2 $\sqrt{\mathrm{k}_{1}}: \sqrt{\mathrm{k}_{2}}$
3 $\mathrm{k}_{2}: \mathrm{k}_{1}$
4 $\mathrm{k}_{1}^{2}: \mathrm{k}_{2}^{2}$
Mechanical Properties of Solids

140851 A bob of mass $10 \mathrm{~kg}$ is attached to a wire of 0.3 $\mathrm{m}$ length. The breaking stress is $4.8 \times 10^{7} \mathrm{~N} \mathrm{~m}^{-}$ ${ }^{2}$. The area of cross-section from the wire is $10^{-6}$ $\mathbf{m}^{2}$. The maximum angular velocity with which it can be rotated in a horizontal circle is-

1 4 rad.s ${ }^{-1}$
2 8 rad.s $\mathrm{s}^{-1}$
3 $16 \mathrm{rad} . \mathrm{s}^{-1}$
4 $32 \mathrm{rad} . \mathrm{s}^{-1}$
Mechanical Properties of Solids

140853 An elevator of mass $2000 \mathrm{~kg}$ is hanging on a steel cable of diameter of $2 \mathrm{~cm}$. What is the maximum acceleration with which the elevator can move up before the cable snaps, if the maximum stress of the cable can withstand is $10^{8} \mathrm{~N} / \mathrm{m}^{2}$

1 $5 \pi$
2 $5(\pi+2)$
3 $5(\pi-2)$
4 $10(2 \pi-1)$
Mechanical Properties of Solids

140854 Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $57^{\circ} \mathrm{C}$ is drunk. You can take body (tooth) temperature to be $37^{\circ} \mathrm{C}$ and $\alpha=1.7 \times 10^{-5}{ }^{\circ} \mathrm{C}$, bulk modulus for copper $B=140 \times 10^{9} \mathrm{Nm}^{-2}$.

1 $1.4 \times 10^{8} \mathrm{Nm}^{-2}$
2 $1.9 \times 10^{8} \mathrm{Nm}^{-2}$
3 $2.0 \times 10^{8} \mathrm{Nm}^{-2}$
4 $3.4 \times 10^{7} \mathrm{Nm}^{-2}$
Mechanical Properties of Solids

140849 Two springs having force constants $k_{1}$ and $k_{2}$ are stretched till their elastic energies are equal. If the forces required for stretching them were $F_{1}$ and $F_{2}$ respectively. Then find $F_{1}$ : $\mathbf{F}_{2}$.

1 $\mathrm{k}_{1}: \mathrm{k}_{2}$
2 $\sqrt{\mathrm{k}_{1}}: \sqrt{\mathrm{k}_{2}}$
3 $\mathrm{k}_{2}: \mathrm{k}_{1}$
4 $\mathrm{k}_{1}^{2}: \mathrm{k}_{2}^{2}$
Mechanical Properties of Solids

140851 A bob of mass $10 \mathrm{~kg}$ is attached to a wire of 0.3 $\mathrm{m}$ length. The breaking stress is $4.8 \times 10^{7} \mathrm{~N} \mathrm{~m}^{-}$ ${ }^{2}$. The area of cross-section from the wire is $10^{-6}$ $\mathbf{m}^{2}$. The maximum angular velocity with which it can be rotated in a horizontal circle is-

1 4 rad.s ${ }^{-1}$
2 8 rad.s $\mathrm{s}^{-1}$
3 $16 \mathrm{rad} . \mathrm{s}^{-1}$
4 $32 \mathrm{rad} . \mathrm{s}^{-1}$
Mechanical Properties of Solids

140853 An elevator of mass $2000 \mathrm{~kg}$ is hanging on a steel cable of diameter of $2 \mathrm{~cm}$. What is the maximum acceleration with which the elevator can move up before the cable snaps, if the maximum stress of the cable can withstand is $10^{8} \mathrm{~N} / \mathrm{m}^{2}$

1 $5 \pi$
2 $5(\pi+2)$
3 $5(\pi-2)$
4 $10(2 \pi-1)$
Mechanical Properties of Solids

140854 Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $57^{\circ} \mathrm{C}$ is drunk. You can take body (tooth) temperature to be $37^{\circ} \mathrm{C}$ and $\alpha=1.7 \times 10^{-5}{ }^{\circ} \mathrm{C}$, bulk modulus for copper $B=140 \times 10^{9} \mathrm{Nm}^{-2}$.

1 $1.4 \times 10^{8} \mathrm{Nm}^{-2}$
2 $1.9 \times 10^{8} \mathrm{Nm}^{-2}$
3 $2.0 \times 10^{8} \mathrm{Nm}^{-2}$
4 $3.4 \times 10^{7} \mathrm{Nm}^{-2}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

140849 Two springs having force constants $k_{1}$ and $k_{2}$ are stretched till their elastic energies are equal. If the forces required for stretching them were $F_{1}$ and $F_{2}$ respectively. Then find $F_{1}$ : $\mathbf{F}_{2}$.

1 $\mathrm{k}_{1}: \mathrm{k}_{2}$
2 $\sqrt{\mathrm{k}_{1}}: \sqrt{\mathrm{k}_{2}}$
3 $\mathrm{k}_{2}: \mathrm{k}_{1}$
4 $\mathrm{k}_{1}^{2}: \mathrm{k}_{2}^{2}$
Mechanical Properties of Solids

140851 A bob of mass $10 \mathrm{~kg}$ is attached to a wire of 0.3 $\mathrm{m}$ length. The breaking stress is $4.8 \times 10^{7} \mathrm{~N} \mathrm{~m}^{-}$ ${ }^{2}$. The area of cross-section from the wire is $10^{-6}$ $\mathbf{m}^{2}$. The maximum angular velocity with which it can be rotated in a horizontal circle is-

1 4 rad.s ${ }^{-1}$
2 8 rad.s $\mathrm{s}^{-1}$
3 $16 \mathrm{rad} . \mathrm{s}^{-1}$
4 $32 \mathrm{rad} . \mathrm{s}^{-1}$
Mechanical Properties of Solids

140853 An elevator of mass $2000 \mathrm{~kg}$ is hanging on a steel cable of diameter of $2 \mathrm{~cm}$. What is the maximum acceleration with which the elevator can move up before the cable snaps, if the maximum stress of the cable can withstand is $10^{8} \mathrm{~N} / \mathrm{m}^{2}$

1 $5 \pi$
2 $5(\pi+2)$
3 $5(\pi-2)$
4 $10(2 \pi-1)$
Mechanical Properties of Solids

140854 Find the stress developed inside a tooth cavity filled with copper when hot tea at temperature of $57^{\circ} \mathrm{C}$ is drunk. You can take body (tooth) temperature to be $37^{\circ} \mathrm{C}$ and $\alpha=1.7 \times 10^{-5}{ }^{\circ} \mathrm{C}$, bulk modulus for copper $B=140 \times 10^{9} \mathrm{Nm}^{-2}$.

1 $1.4 \times 10^{8} \mathrm{Nm}^{-2}$
2 $1.9 \times 10^{8} \mathrm{Nm}^{-2}$
3 $2.0 \times 10^{8} \mathrm{Nm}^{-2}$
4 $3.4 \times 10^{7} \mathrm{Nm}^{-2}$