Physical World Units and Measurements - Result Question 12

12. The pair of quantities having same dimensions is [NEET Kar. 2013]

(a) Young’s modulus and energy

(b) impulse and surface tension

(c) angular momentum and work

(d) work and torque

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Answer:

Correct Answer: 12. (d)

Solution:

  1. (d) Work = Force × displacement

=[MLT2][L]

=[ML2T2]

Torque = Force × force arm

= mass × acceleration × length =[M]×[LT2]×[L]=[ML2T2]

If dimensions are given, physical quantity may not be unique as many physical quantities have same dimensions. e.g., If the dimensional formula of a physical quantity is [ML2T2] it may be work or energy or torque.



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