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.
- ATrue
- BFalse
- CCannot be determined
- DNone of the above
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The ratio $\left(\frac{E}{W}\right)$ of relative strength of electromagnetic force $(E)$ to weak nuclear force $(W)$ is,
Choose the physical quantity pair with the same dimensions.
Match List-$I$ with List-$II$ and select the correct answer.
List-$I$ List-$II$ $A$. Spring constant $1$. $M^1L^2T^{-2}$ $B$. Pascal $2$. $M^0L^0T^{-1}$ $C$. Hertz $3$. $M^1L^0T^{-2}$ $D$. Joule $4$. $M^1L^{-1}T^{-2}$
| List-$I$ | List-$II$ |
|---|---|
| $A$. Spring constant | $1$. $M^1L^2T^{-2}$ |
| $B$. Pascal | $2$. $M^0L^0T^{-1}$ |
| $C$. Hertz | $3$. $M^1L^0T^{-2}$ |
| $D$. Joule | $4$. $M^1L^{-1}T^{-2}$ |
Medium
View SolutionMatch List-$I$ with List-$II$:
List-$I$ List-$II$ $(A)$ Torque $(I)$ $ML^{-2}T^{-2}$ $(B)$ Stress $(II)$ $ML^2T^{-2}$ $(C)$ Pressure gradient $(III)$ $ML^{-1}T^{-1}$ $(D)$ Coefficient of viscosity $(IV)$ $ML^{-1}T^{-2}$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| $(A)$ Torque | $(I)$ $ML^{-2}T^{-2}$ |
| $(B)$ Stress | $(II)$ $ML^2T^{-2}$ |
| $(C)$ Pressure gradient | $(III)$ $ML^{-1}T^{-1}$ |
| $(D)$ Coefficient of viscosity | $(IV)$ $ML^{-1}T^{-2}$ |
Choose the correct answer from the options given below:
The density of water is $1000 \; kg \; m^{-3}$. The density of water vapour at $100^{\circ} C$ and $1 \; atm$ pressure is $0.6 \; kg \; m^{-3}$. The volume of a molecule multiplied by the total number gives what is called molecular volume. Estimate the volume of a water molecule.
Medium
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