If the present units of length. time and mass $(m, s, k g)$ are changed to $100\; m, 100\; s$. $\frac{1}{10} \;k g$ then
- AThe new unit of velocity is increased $10$ times
- BThe new unit of force is decreased $\frac{1}{1000}$ times
- CThe new unit of energy is increased $10$ times
- DThe new unit of pressure is increased $1000$ times
Similar Questions
Which of the following is dimensionally incorrect?
Which of the following is dimensionally incorrect?
If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
The entropy of any system is given by
${S}=\alpha^{2} \beta \ln \left[\frac{\mu {kR}}{J \beta^{2}}+3\right]$
Where $\alpha$ and $\beta$ are the constants. $\mu, J, K$ and $R$ are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant repectively. [Take ${S}=\frac{{dQ}}{{T}}$ ]
Choose the incorrect option from the following:
The entropy of any system is given by
${S}=\alpha^{2} \beta \ln \left[\frac{\mu {kR}}{J \beta^{2}}+3\right]$
Where $\alpha$ and $\beta$ are the constants. $\mu, J, K$ and $R$ are no. of moles, mechanical equivalent of heat, Boltzmann constant and gas constant repectively. [Take ${S}=\frac{{dQ}}{{T}}$ ]
Choose the incorrect option from the following:
- [JEE MAIN 2021]
Choose the correct match
List I
List II
$(i)$ Curie
$(A)$ $ML{T^{ - 2}}$
$(ii)$ Light year
$(B)$ $M$
$(iii)$ Dielectric strength
$(C)$ Dimensionless
$(iv)$ Atomic weight
$(D)$ $T$
$(v)$ Decibel
$(E)$ $M{L^2}{T^{ - 2}}$
$(F)$ $M{T^{ - 3}}$
$(G)$ ${T^{ - 1}}$
$(H)$ $L$
$(I)$ $ML{T^{ - 3}}{I^{ - 1}}$
$(J)$ $L{T^{ - 1}}$
Choose the correct match
|
List I |
List II |
|---|---|
|
$(i)$ Curie |
$(A)$ $ML{T^{ - 2}}$ |
|
$(ii)$ Light year |
$(B)$ $M$ |
|
$(iii)$ Dielectric strength |
$(C)$ Dimensionless |
|
$(iv)$ Atomic weight |
$(D)$ $T$ |
|
$(v)$ Decibel |
$(E)$ $M{L^2}{T^{ - 2}}$ |
|
$(F)$ $M{T^{ - 3}}$ |
|
|
$(G)$ ${T^{ - 1}}$ |
|
|
$(H)$ $L$ |
|
|
$(I)$ $ML{T^{ - 3}}{I^{ - 1}}$ |
|
|
$(J)$ $L{T^{ - 1}}$ |
- [IIT 1992]
In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)
$(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$
In terms of potential difference $V$, electric current $I$, permittivity $\varepsilon_0$, permeability $\mu_0$ and speed of light $c$, the dimensionally correct equation$(s)$ is(are)
$(A)$ $\mu_0 I ^2=\varepsilon_0 V ^2$ $(B)$ $\varepsilon_0 I =\mu_0 V$ $(C)$ $I =\varepsilon_0 cV$ $(D)$ $\mu_0 cI =\varepsilon_0 V$
- [IIT 2015]