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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Similar Questions
Identify the incorrect statement.
Which of the following statements is correct?
Match the physical quantities given in List-$I$ with their dimensions in List-$II$.
List-$I$ List-$II$ $A$. Gravitational potential $I$. $M^0 L^2 T^{-2} K^{-1}$ $B$. Stefan's constant $II$. $M^0 L^2 T^{-2}$ $C$. Permittivity $III$. $M L^0 T^{-3} K^{-4}$ $D$. Specific heat capacity $IV$. $M^{-1} L^{-3} T^4 I^2$
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
| List-$I$ | List-$II$ |
| $A$. Gravitational potential | $I$. $M^0 L^2 T^{-2} K^{-1}$ |
| $B$. Stefan's constant | $II$. $M^0 L^2 T^{-2}$ |
| $C$. Permittivity | $III$. $M L^0 T^{-3} K^{-4}$ |
| $D$. Specific heat capacity | $IV$. $M^{-1} L^{-3} T^4 I^2$ |
$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$
State whether the following statements are true or false:
$(a)$ Weight is a fundamental physical quantity.
$(b)$ $A$ micrometer is used to measure the size of an oleic acid molecule at the molecular level.
$(c)$ The dimensions of a derived quantity obtained from any fundamental quantity can never be zero.
$(a)$ Weight is a fundamental physical quantity.
$(b)$ $A$ micrometer is used to measure the size of an oleic acid molecule at the molecular level.
$(c)$ The dimensions of a derived quantity obtained from any fundamental quantity can never be zero.
Medium
View SolutionNames 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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