Ncert Exercises & Solutions

Photon is a quantum of radiation with energy E = h $ν$ , where $ν$ is the frequency
and h is Planck's constant. The dimensions of h are the same as that of the following quantities.

(a) linear impulse

(b) angular impulse

(d) angular momentum

Choose the correct option:

1. (a, d)

2. (b, d)

3. (c, d)

4. (a, b)

(2) Hint: Compare the dimensions.

Step 1: Find the dimensions of h.

We know that the energy of radiation, E = hv

$[h] = \frac{[E]}{[v]} = \frac{[{ML}^{2} T^{- 2}]}{[T^{- 1}]} = [{ML}^{2} T^{- 1}]$

Step 2: Find the dimensions of each option.

The dimension of linear impulse = Dimension of momentum $= [{MLT}^{- 1}]$
As we know that linear impulse J = $∆$ P
$\Rightarrow$ Angular impulse = tdt = $∆$ L = Change in angular momentum
Hence, the dimension of angular impulse
$\begin{array}{l} = Dimension of angular momentum \\ = [{ML}^{2} T^{- 1}] \end{array}$
This is similar to the dimension of Planck's constant h.

NEET Information

courses

Company

Botany Questions

Chemistry Questions

Physics Questions

Zoology Questions