NEET Practice Questions

Q171.

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $g,$ the acceleration due to gravity. If the maximum percentage errors in the measurement of the distance and the time are $e_1$  and $e_2$ respectively, the percentage error in the estimation of $g$ is:

Q172.

The dimensions of  $\frac{1}{2}ε_{0}E^{2}$  where  $ε_{0}$  is the permittivity of free space and E is the electric field, are:

Q173.

The density of a material in a CGS system of units is $4~\text{grams/cm}^3$ . In a system of units in which the unit of length is $10~\text{cm}$  and the unit of mass is $100~\text{grams}$ , the value of the density of the material will be:

Q174.

The dimensions of  $\mu_{0}ε_{0}^{-1/2}$  are:

Q175.

The dimensions of  $(\mu_{0}ε_{0})^{-1/2}$  are:

Q176. In an experiment, four quantities $a,$ $b,$ $c$ and $d$ are measured with percentage error $1$ %, $2$ %, $3$ % and $4$ % respectively. Quantity $P$ is calculated as follows: 
$P=\dfrac{a^3b^2}{cd}$
Percentage error in $P$ is:

Q177.

If force ( $F$ ), velocity ( $\mathrm{v}$ ), and time ( $T$ ) are taken as fundamental units, the dimensions of mass will be:

Q178. If energy $(E),$ velocity $(v)$ and time $(T)$ are chosen as the fundamental quantities, the dimensional formula of surface tension will be:

Q179.

If dimensions of critical velocity ${v_c}$ of a liquid flowing through a tube are expressed as $\eta^{x}\rho^yr^{z}$ , where $\eta, \rho~\text{and}~r$ are the coefficient of viscosity of the liquid, the density of the liquid, and the radius of the tube respectively, then the values of ${x},$ ${y},$ and ${z},$ respectively, will be:

Q180.

Planck’s constant ( $h$ ), speed of light in the vacuum ( $c$ ), and Newton’s gravitational constant ( $G$ ) are the three fundamental constants. Which of the following combinations of these has the dimension of length?