Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
Which of the following pairs have same dimensions? (1) Angular momentum and work (2) Torque and work (3) Energy and Young's modulus (4) Light-year and wavelengthA) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: C
Solution :
\[Torque=Force\times distance\] \[[\tau ]=[M{{L}^{2}}{{T}^{-2}}]\] [Energy] = [work]\[=Force\times distance\] \[[E]=[W]=[M{{L}^{2}}{{T}^{-2}}]\] Angular Momentum = Moment of inertia \[\times Angular\text{ }velocity\] \[[L]=[M{{L}^{2}}][{{T}^{-1}}]\] \[[L]=[M{{L}^{2}}{{T}^{-1}}]\] Light-year and wavelength have dimensions of length. Hence, option is correct.
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