Physics and Measurement Quiz-1

Question 1

Let $[\varepsilon_0]$ denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = Time and A = electric current, then:

Accepted Answer

$[\varepsilon_0][M^{-1}L^{-3} T^4 A^2]$

Answer

$[\varepsilon_0][M^{-1}L^{-3} T^2 A]$

Answer

$[\varepsilon_0][M^{-2}L^{2} T^{-1} A^{-2}]$

Answer

$[\varepsilon_0][M^{-1}L^{2} T^{-1} A^{2}]$

Question 2

The dimensional formula, for specific latent heat capacity, is

Accepted Answer

$M^0 L^2 T^{-2}$

Answer

$MLT^{-2}$

Answer

$ML^2 T^{-2}$

Answer

$ML^0T^{-2}$

Question 3

The relation between the SI unit (watt) and the CGS unit ($erg\ s^{-1}$), of power, is

Accepted Answer

$1W = 10^7 \ erg\ s^{-1}$

Answer

$1W = 10^5 \ erg\ s^{-1}$

Answer

$1W = 10^6 \ erg\ s^{-1}$

Answer

$1W = 10^8 \ erg\ s^{-1}$

Question 4

If p and v stand for pressure and volume, respectively. The dimensions, of the constant, a, in the term $\left(p+\frac a{V^2}\right), $ should be:

Accepted Answer

$ML^5T^{-2}$

Answer

$ML^6T^{-2}$

Answer

$M^2L^2T^{-2}$

Answer

$ML^5T^{-1}$

Question 5

The dimensional formulae, for specific heat capacity and thermal conductivity, are, respectively

Accepted Answer

$MLT^{-3} K^{-1}$ and $L^2T^{-2} K^{-1}$

Answer

$MLT^{-3} K^{-1}$ and $ML^2T^{-2} K^{-1}$

Answer

$ML^2T^{-3} K^{-1}$ and $L^2T^{-2} K^{-1}$

Answer

$L^2T^{-3} K^{-1}$ and $ML^2T^{-2} K^{-1}$

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