- 1(current)
Q. No.A wire of cross-section \(A_{1}\) and length \(l_1\) breaks when it is under tension \(T_{1};\) a second wire made of the same material but of cross-section \(A_{2}\) and length \(l_2\) breaks under tension \(T_{2}.\) A third wire of the same material having cross-section \(A,\) length \(l\) breaks under tension \(\dfrac{T_1+T_2}{2}.\) Then:
| 1. | \(A=\dfrac{A_1+A_2}{2},~l=\dfrac{l_1+l_2}{2}\) |
| 2. | \(l=\dfrac{l_1+l_2}{2}\) |
| 3. | \(A=\dfrac{A_1+A_2}{2}\) |
| 4. | \(A=\dfrac{A_1T_1+A_2T_2}{2(T_1+T_2)},~l=\dfrac{l_1T_1+l_2T_2}{2(T_1+T_2)}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
Two wires of identical dimensions but of different materials having Young's moduli \(Y_1, Y_2\) are joined end to end. When the first wire is under a tension \(T,\) it elongates by \(x_1\) while the second wire elongates by \(x_2\) under the same tension \(T.\) The elongation of the composite wire when it is under tension \(T\) is:
| 1. | \(x_1+x_2\) | 2. | \(\dfrac{Y_1x_1+Y_2x_2}{Y_1+Y_2}\) |
| 3. | \(\dfrac{x_1+x_2}{2}\) | 4. | \(\dfrac{Y_1x_2+Y_2x_1}{Y_1+Y_2}\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | \(1\) | 2. | \(2\) |
| 3. | \(\sqrt 2\) | 4. | \(\dfrac12\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | larger in the rod with a larger Young's modulus |
| 2. | larger in the rod with a smaller Young's modulus |
| 3. | equal in both the rods |
| 4. | negative in the rod with a smaller Young's modulus |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | \(F_1=F_2\) | 2. | \(2F_1=F_2\) |
| 3. | \(3F_1=F_2\) | 4. | \(6F_1=F_2\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
| 1. | \(\left[MT^{-2}\right], ~[L]~,~\left[ML^{-1}T^{-2}\right]\) |
| 2. | \(\left[ML^{-1}T^{-2}\right],~\left[M^0L^{0}T^{0}\right],~\left[ML^{-1}T^{-2}\right]\) |
| 3. | \(\left[M^0L^0T^0\right],~[L]~,~\left[ML^{-1}T^{-2}\right]\) |
| 4. | \(\left[MLT^{-2}\right]~,\left[ML^2T^{-2}\right],~\left[MT^{-2}\right]\) |
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
1. \(Y=Y_1+Y_2\)
2. \(Y={\Large\frac{Y_1+Y_2}{2}}\)
3. \({\Large\frac{1}{Y}=\frac{1}{Y_1}+\frac{1}{Y_2}}\)
4. \({\Large\frac{2}{Y}=\frac{1}{Y_1}+\frac{1}{Y_2}}\)
To unlock all the explanations of this course, you need to be enrolled.
To unlock all the explanations of this course, you need to be enrolled.
- 1(current)
Q. No.
© 2025 GoodEd Technologies Pvt. Ltd.