Medium
The density of a material in $CGS$ system of units is $4 \, g \, cm^{-3}$. In a system of units in which the unit of length is $10 \, cm$ and the unit of mass is $100 \, g$,the value of the density of the material will be:
- A$0.04$
- B$0.4$
- C$40$
- D$400$
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Similar Questions
If the percentage errors in measuring the length and the diameter of a wire are $0.1 \%$ each,the percentage error in measuring its resistance will be: (in $\%$)
DifficultJEE MAIN 2024
View Solution$Assertion$: In the measurement of physical quantities,direct and indirect methods are used.
$Reason$: The accuracy and precision of measuring instruments,along with errors in measurements,should be taken into account while expressing the result.
$Reason$: The accuracy and precision of measuring instruments,along with errors in measurements,should be taken into account while expressing the result.
Match the following physical quantities with their respective dimensional formulas:
$(A)$ Thermal conductivity $(i)$ $MLT^{-3}K^{-1}$ $(B)$ Boltzmann constant (ii) $M^0L^2T^{-2}K^{-1}$ $(C)$ Latent heat (iii) $ML^2T^{-2}K^{-1}$ $(D)$ Specific heat (iv) $M^0L^2T^{-2}$
| $(A)$ Thermal conductivity | $(i)$ $MLT^{-3}K^{-1}$ |
| $(B)$ Boltzmann constant | (ii) $M^0L^2T^{-2}K^{-1}$ |
| $(C)$ Latent heat | (iii) $ML^2T^{-2}K^{-1}$ |
| $(D)$ Specific heat | (iv) $M^0L^2T^{-2}$ |
Which of the following groups has different dimensions?
MediumIIT 2005
View SolutionMatch List $I$ with List $II$ :
List $I$ (Physical Quantity) List $II$ (Dimensional Formula) $(A)$ Pressure gradient $(I)$ $[M^0 L^2 T^{-2}]$ $(B)$ Energy density $(II)$ $[M^1 L^{-1} T^{-2}]$ $(C)$ Electric Field $(III)$ $[M^1 L^{-2} T^{-2}]$ $(D)$ Latent heat $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$
Choose the correct answer from the options given below:
| List $I$ (Physical Quantity) | List $II$ (Dimensional Formula) |
|---|---|
| $(A)$ Pressure gradient | $(I)$ $[M^0 L^2 T^{-2}]$ |
| $(B)$ Energy density | $(II)$ $[M^1 L^{-1} T^{-2}]$ |
| $(C)$ Electric Field | $(III)$ $[M^1 L^{-2} T^{-2}]$ |
| $(D)$ Latent heat | $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$ |
Choose the correct answer from the options given below:
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