01. Young's Modulus and Bulk Modulus and Change in Length
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

141035 If the ratio of radii of two wires of same material is $2: 1$ and ratio of their lengths is 4 : 1 , then the ratio of the normal forces that will produce the same extension in the length of two wires is

1 $2: 1$
2 $4: 1$
3 $1: 4$
4 $1: 1$
Mechanical Properties of Solids

141036 The upper end of a wire of diameter $12 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is clamped and its other end is twisted through an angle of $30^{\circ}$. The angle of shear is

1 $18^{\circ}$
2 $0.18^{\circ}$
3 $36^{\circ}$
4 $0.36^{\circ}$
Mechanical Properties of Solids

141037 One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

1 0.25
2 0.50
3 2.00
4 4.00
Mechanical Properties of Solids

141038 The relationship between Young's modulus $Y$, bulk modulus $K$ and modulus of rigidity $\eta$ is

1 $Y=\frac{9 \eta K}{\eta+3 K}$
2 $\mathrm{Y}=9 \eta \mathrm{K}(\mathrm{k}+3 \eta)$
3 $\eta=\frac{9 Y K}{3 K+Y}$
4 $Y=\frac{3 \eta K}{9 \eta+K}$
Mechanical Properties of Solids

141035 If the ratio of radii of two wires of same material is $2: 1$ and ratio of their lengths is 4 : 1 , then the ratio of the normal forces that will produce the same extension in the length of two wires is

1 $2: 1$
2 $4: 1$
3 $1: 4$
4 $1: 1$
Mechanical Properties of Solids

141036 The upper end of a wire of diameter $12 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is clamped and its other end is twisted through an angle of $30^{\circ}$. The angle of shear is

1 $18^{\circ}$
2 $0.18^{\circ}$
3 $36^{\circ}$
4 $0.36^{\circ}$
Mechanical Properties of Solids

141037 One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

1 0.25
2 0.50
3 2.00
4 4.00
Mechanical Properties of Solids

141038 The relationship between Young's modulus $Y$, bulk modulus $K$ and modulus of rigidity $\eta$ is

1 $Y=\frac{9 \eta K}{\eta+3 K}$
2 $\mathrm{Y}=9 \eta \mathrm{K}(\mathrm{k}+3 \eta)$
3 $\eta=\frac{9 Y K}{3 K+Y}$
4 $Y=\frac{3 \eta K}{9 \eta+K}$
Mechanical Properties of Solids

141035 If the ratio of radii of two wires of same material is $2: 1$ and ratio of their lengths is 4 : 1 , then the ratio of the normal forces that will produce the same extension in the length of two wires is

1 $2: 1$
2 $4: 1$
3 $1: 4$
4 $1: 1$
Mechanical Properties of Solids

141036 The upper end of a wire of diameter $12 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is clamped and its other end is twisted through an angle of $30^{\circ}$. The angle of shear is

1 $18^{\circ}$
2 $0.18^{\circ}$
3 $36^{\circ}$
4 $0.36^{\circ}$
Mechanical Properties of Solids

141037 One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

1 0.25
2 0.50
3 2.00
4 4.00
Mechanical Properties of Solids

141038 The relationship between Young's modulus $Y$, bulk modulus $K$ and modulus of rigidity $\eta$ is

1 $Y=\frac{9 \eta K}{\eta+3 K}$
2 $\mathrm{Y}=9 \eta \mathrm{K}(\mathrm{k}+3 \eta)$
3 $\eta=\frac{9 Y K}{3 K+Y}$
4 $Y=\frac{3 \eta K}{9 \eta+K}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

141035 If the ratio of radii of two wires of same material is $2: 1$ and ratio of their lengths is 4 : 1 , then the ratio of the normal forces that will produce the same extension in the length of two wires is

1 $2: 1$
2 $4: 1$
3 $1: 4$
4 $1: 1$
Mechanical Properties of Solids

141036 The upper end of a wire of diameter $12 \mathrm{~mm}$ and length $1 \mathrm{~m}$ is clamped and its other end is twisted through an angle of $30^{\circ}$. The angle of shear is

1 $18^{\circ}$
2 $0.18^{\circ}$
3 $36^{\circ}$
4 $0.36^{\circ}$
Mechanical Properties of Solids

141037 One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

1 0.25
2 0.50
3 2.00
4 4.00
Mechanical Properties of Solids

141038 The relationship between Young's modulus $Y$, bulk modulus $K$ and modulus of rigidity $\eta$ is

1 $Y=\frac{9 \eta K}{\eta+3 K}$
2 $\mathrm{Y}=9 \eta \mathrm{K}(\mathrm{k}+3 \eta)$
3 $\eta=\frac{9 Y K}{3 K+Y}$
4 $Y=\frac{3 \eta K}{9 \eta+K}$