Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369827 The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

1 \({\text{Length}} = 300\;cm,{\text{diameter}} = 3\;mm\)
2 \({\text{Length}} = 50\;cm,{\text{diameter}} = 0.5\;mm\)
3 \({\text{Length}} = 200\;cm,{\text{diameter}} = 2\;mm\)
4 \({\text{Length}} = 100\;cm,{\text{diameter}} = 1\;mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369828 A toy cart is tied to the end of an unstretched string of length \(l\). When revolved, the toy cart moves in horizontal circle with radius \(2 l\) and time period \(T\). If it is speeded until it moves in horizontal circle of radius \(3 l\) with period \(T_{1}\), relation between \(T\) and \(T_{1}\) is (Hooke's law is obeyed)

1 \(T_{1}=\dfrac{2}{\sqrt{3}} T\)
2 \(T_{1}=\sqrt{\dfrac{3}{2}} T\)
3 \(T_{1}=\sqrt{\dfrac{2}{3}} T\)
4 \(T_{1}=\dfrac{\sqrt{3}}{2} T\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369829 The young's modulus of brass and steel are respectively \(1.0 \times {10^{10}}\;N/{m^2}\) and \(2 \times {10^{10}}\;N/{m^2}\). A brass wire and a steel wire of the same length are extended by \(1\;mm\) under the same force, the radii of brass and steel wires are \(R_{B}\) and \(R_{S}\) respectively. Then

1 \({R_S} = \sqrt 2 {R_B}\)
2 \({R_S} = \frac{{{R_B}}}{{\sqrt 2 }}\)
3 \({R_S} = 4{R_B}\)
4 \({R_S} = \frac{{{R_B}}}{4}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369830 If stress is numerically equal to Young's modulus, the elongation will be

1 \(1 / 4\) the original length
2 \(1 / 2\) the original length
3 Equal to the original length
4 Twice the original length
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369827 The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

1 \({\text{Length}} = 300\;cm,{\text{diameter}} = 3\;mm\)
2 \({\text{Length}} = 50\;cm,{\text{diameter}} = 0.5\;mm\)
3 \({\text{Length}} = 200\;cm,{\text{diameter}} = 2\;mm\)
4 \({\text{Length}} = 100\;cm,{\text{diameter}} = 1\;mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369828 A toy cart is tied to the end of an unstretched string of length \(l\). When revolved, the toy cart moves in horizontal circle with radius \(2 l\) and time period \(T\). If it is speeded until it moves in horizontal circle of radius \(3 l\) with period \(T_{1}\), relation between \(T\) and \(T_{1}\) is (Hooke's law is obeyed)

1 \(T_{1}=\dfrac{2}{\sqrt{3}} T\)
2 \(T_{1}=\sqrt{\dfrac{3}{2}} T\)
3 \(T_{1}=\sqrt{\dfrac{2}{3}} T\)
4 \(T_{1}=\dfrac{\sqrt{3}}{2} T\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369829 The young's modulus of brass and steel are respectively \(1.0 \times {10^{10}}\;N/{m^2}\) and \(2 \times {10^{10}}\;N/{m^2}\). A brass wire and a steel wire of the same length are extended by \(1\;mm\) under the same force, the radii of brass and steel wires are \(R_{B}\) and \(R_{S}\) respectively. Then

1 \({R_S} = \sqrt 2 {R_B}\)
2 \({R_S} = \frac{{{R_B}}}{{\sqrt 2 }}\)
3 \({R_S} = 4{R_B}\)
4 \({R_S} = \frac{{{R_B}}}{4}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369830 If stress is numerically equal to Young's modulus, the elongation will be

1 \(1 / 4\) the original length
2 \(1 / 2\) the original length
3 Equal to the original length
4 Twice the original length
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369827 The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

1 \({\text{Length}} = 300\;cm,{\text{diameter}} = 3\;mm\)
2 \({\text{Length}} = 50\;cm,{\text{diameter}} = 0.5\;mm\)
3 \({\text{Length}} = 200\;cm,{\text{diameter}} = 2\;mm\)
4 \({\text{Length}} = 100\;cm,{\text{diameter}} = 1\;mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369828 A toy cart is tied to the end of an unstretched string of length \(l\). When revolved, the toy cart moves in horizontal circle with radius \(2 l\) and time period \(T\). If it is speeded until it moves in horizontal circle of radius \(3 l\) with period \(T_{1}\), relation between \(T\) and \(T_{1}\) is (Hooke's law is obeyed)

1 \(T_{1}=\dfrac{2}{\sqrt{3}} T\)
2 \(T_{1}=\sqrt{\dfrac{3}{2}} T\)
3 \(T_{1}=\sqrt{\dfrac{2}{3}} T\)
4 \(T_{1}=\dfrac{\sqrt{3}}{2} T\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369829 The young's modulus of brass and steel are respectively \(1.0 \times {10^{10}}\;N/{m^2}\) and \(2 \times {10^{10}}\;N/{m^2}\). A brass wire and a steel wire of the same length are extended by \(1\;mm\) under the same force, the radii of brass and steel wires are \(R_{B}\) and \(R_{S}\) respectively. Then

1 \({R_S} = \sqrt 2 {R_B}\)
2 \({R_S} = \frac{{{R_B}}}{{\sqrt 2 }}\)
3 \({R_S} = 4{R_B}\)
4 \({R_S} = \frac{{{R_B}}}{4}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369830 If stress is numerically equal to Young's modulus, the elongation will be

1 \(1 / 4\) the original length
2 \(1 / 2\) the original length
3 Equal to the original length
4 Twice the original length
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369827 The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied?

1 \({\text{Length}} = 300\;cm,{\text{diameter}} = 3\;mm\)
2 \({\text{Length}} = 50\;cm,{\text{diameter}} = 0.5\;mm\)
3 \({\text{Length}} = 200\;cm,{\text{diameter}} = 2\;mm\)
4 \({\text{Length}} = 100\;cm,{\text{diameter}} = 1\;mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369828 A toy cart is tied to the end of an unstretched string of length \(l\). When revolved, the toy cart moves in horizontal circle with radius \(2 l\) and time period \(T\). If it is speeded until it moves in horizontal circle of radius \(3 l\) with period \(T_{1}\), relation between \(T\) and \(T_{1}\) is (Hooke's law is obeyed)

1 \(T_{1}=\dfrac{2}{\sqrt{3}} T\)
2 \(T_{1}=\sqrt{\dfrac{3}{2}} T\)
3 \(T_{1}=\sqrt{\dfrac{2}{3}} T\)
4 \(T_{1}=\dfrac{\sqrt{3}}{2} T\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369829 The young's modulus of brass and steel are respectively \(1.0 \times {10^{10}}\;N/{m^2}\) and \(2 \times {10^{10}}\;N/{m^2}\). A brass wire and a steel wire of the same length are extended by \(1\;mm\) under the same force, the radii of brass and steel wires are \(R_{B}\) and \(R_{S}\) respectively. Then

1 \({R_S} = \sqrt 2 {R_B}\)
2 \({R_S} = \frac{{{R_B}}}{{\sqrt 2 }}\)
3 \({R_S} = 4{R_B}\)
4 \({R_S} = \frac{{{R_B}}}{4}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369830 If stress is numerically equal to Young's modulus, the elongation will be

1 \(1 / 4\) the original length
2 \(1 / 2\) the original length
3 Equal to the original length
4 Twice the original length