Physics 1 Marks Question

Radius $31.0\text{cm},\theta=\frac{\pi}{6}$

From length of the arc of a circle $\text{l}=\text{r}\theta$

$=31.0\times\frac{\pi}{6}$

$=16.2\text{cm}$

1. $[\text{M}^{\frac{3}{2}}\text{L}^{-1}\text{T}^{-2}]$

2. $[\text{M}^{\frac{1}{2}}\text{L}^{\frac{-3}{2}}\text{T}^{0}]$

4. Dipole moment, Electric flux, Electric field.

Explanation:

$\text{p} = \text{q} \times 2\text{a} = (\text{AT}) \times \text{L} = [\text{M}^{0}\text{L}^1\text{T}^1\text{A}^1] $

Dimensions of elecric field

$\text{e}=\frac{\text{F}}{\text{q}}=\frac{\text{MLT}^{-2}}{\text{AT}}=[\text{MLT}^{-3}\text{A}^{-1}]$

$\phi=\vec{\text{E}}.\vec{\text{A}}=\text{EA}\cos\theta$

$\frac{​​\text{F}}{\text{q}}\text{A}\cos\theta=\Big[\frac{\text{MLT}^{-2}}{\text{AT}}\times\text{L}^2\times1\Big]$

$=[\text{M}^{1}\text{L}^3\text{T}^{-3}\text{A}^{-1}]$

1. Reynolds number and coefficient of friction.
2. Latent heat and gravitational potential.
3. Curie and frequency of light wave.

Explanation:

1. Reynolds number and coefficient of friction, both are dimensionless.

2. $\text{L}=\frac{\text{Q}}{\text{m}}=\frac{\text{ML}^2\text{T}^{-2}}{\text{M}}=[\text{L}^{2}\text{T}^{-2}]$

Gravitational Potential $=\frac{​​\text{W}}{\text{m}}=\frac{\text{ML}^{2}\text{T}^{-2}}{\text{M}}=[\text{L}^2\text{T}^{-2}]$

3. 1 curie $=3.7\times10^{10}$ disintegrations/ sec =

$\text{T}^{-1}$= Frequency $=\text{T}^{-1}$

2. Momentum per unit area per unit time.

4. Energy per unit volume.

Explanation:

2. Momentum per unit area per unit time

$=\frac{\text{Momentum}}{\text{Area}\times\text{Time}}\frac{\text{MLT}^{-1}}{\text{L}^{2}\text{T}}=[\text{M}^{1}\text{L}^{-2}\text{T}^{-2}]$

4. Energy per unit volume. $=\frac{\text{ML}^2\text{T}^{-2}}{\text{T}^3=[\text{M}^1\text{L}^{-1}\text{T}^{-2}]}$