question_answer

The dimensions of quantities in one or more of the following pairs are the same. Identify the pair (s). (i) Torque and work                                        (ii) Angular momentum and work (iii) Energy and Young's modulus               (iv) Light year and wavelength.

Answer:

                (i) Torque and work, the dimensional formula of each is \[\left[ {{M}^{1}}{{L}^{2}}{{T}^{-2}} \right]\] (ii) Light year and wavelength, both represent distance [L].