Physics

Q61.

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, length L, time T, and current I, would be:

Q62.

Which two of the following five physical parameters have the same dimensions? 

(A)	Energy density
(B)	Refractive index
(C)	Dielectric constant
(D)	Young’s modulus
(E)	Magnetic field

Choose the correct option from the given ones:

Q63.

If the error in the measurement of the radius of a sphere is 2%, then the error in the determination of the volume of the sphere will be:

Q64. If the dimensions of a physical quantity are given by $[M^aL^bT^c],$ then the physical quantity will be:

Q65.

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:

Q66.

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:

Q67.

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:

Q68.

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

Q69.

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

Q70. 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: