Medium
To determine the Young's modulus of a wire,the formula is $Y = \frac{FL}{A\Delta L}$,where $L$ is the length,$A$ is the area of cross-section of the wire,and $\Delta L$ is the change in length of the wire when stretched with a force $F$. The conversion factor to change the unit of Young's modulus from $CGS$ to $MKS$ system is $x \times 10^{-1} \ N/m^2$. Find the value of $x$.
- A$100$
- B$10$
- C$1$
- D$0.01$
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Select the pair from the following that does not have the same dimensions.
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View SolutionMatch the physical quantities in List-$I$ with their dimensional formulas in terms of mass $(M)$, length $(L)$, time $(T)$ and electric current $(A)$ given in List-$II$.
List-$I$ List-$II$ $(a)$ Torque $(i)$ $[M^{-1}L^{-2}T^4A^2]$ $(b)$ Gravitational constant (ii) $[M^1L^2T^{-1}]$ $(c)$ Capacitance (iii) $[M^{-1}L^3T^{-2}]$ $(d)$ Planck's constant (iv) $[M^1L^2T^{-2}]$
| List-$I$ | List-$II$ |
| $(a)$ Torque | $(i)$ $[M^{-1}L^{-2}T^4A^2]$ |
| $(b)$ Gravitational constant | (ii) $[M^1L^2T^{-1}]$ |
| $(c)$ Capacitance | (iii) $[M^{-1}L^3T^{-2}]$ |
| $(d)$ Planck's constant | (iv) $[M^1L^2T^{-2}]$ |
MediumKCET 2026
View SolutionWhich of the following statements is incorrect?
Names of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultTS EAMCET 2005
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