| (1) energy density |
| (2) refractive index |
| (3) dielectric constant |
| (4) Young?s modulus |
| (5) magnetic field |
A) 2 and 4
B) 3 and 5
C) 1 and 4
D) 1 and 5
Correct Answer: C
Solution :
[a] \[Energy\text{ }density=\,\,\frac{Energy}{Volume}\] \[=\,\,\,\frac{\left[ M{{L}^{2}}{{T}^{-2}} \right]}{\left[ {{L}^{3}} \right]}\,\,=\,\,\left[ M{{L}^{-1}}\,{{T}^{-2}} \right]\] [b] Refractive index has no dimensions. [c] Dielectric constant has no dimensions. [d] Young?s modulus, \[Y=\frac{Fl}{A\Delta l}\,\,=\,\,\frac{\left[ ML{{T}^{-2}} \right]\left[ L \right]}{\left[ {{L}^{2}} \right]\left[ L \right]}\,\,=\,\,\left[ M{{L}^{-1}}{{T}^{-2}} \right]\] (5) Magnetic field, \[B=\frac{F}{Il}\,\,=\,\,\frac{\left[ ML{{T}^{-2}} \right]}{\left[ A \right]\left[ L \right]}\,\,=\,\,\left[ M{{T}^{-2}}{{A}^{-1}} \right]\] Therefore, option [c] is correct.
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