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Match List-I with List-II : List-I (a) h (Planck's constant) (b) E (kinetic energy) (c) V (electric potential) (d) P (linear momentum) List-II (i) [M L T⁻¹] (ii) [M L² T⁻²] (iii) [M L² T⁻³] (iv) [M L² T⁻¹ T⁻?] Choose the correct answer from the options given below :
- (a)→(iii), (b)→(ii), (c)→(iv), (d)→(i)
- (a)→(i), (b)→(iii), (c)→(iv), (d)→(i)
- (a)→(i), (b)→(ii), (c)→(iv), (d)→(iii)
- (a)→(iii), (b)→(ii), (c)→(iv), (d)→(i)
Correct answer: (a)→(i), (b)→(iii), (c)→(iv), (d)→(i)
Solution
The correct option matches each physical quantity with its appropriate dimensional formula: Planck's constant (h) has dimensions of action [M L² T⁻¹], kinetic energy (E) is expressed as [M L² T⁻²], electric potential (V) is measured in [M L² T⁻³], and linear momentum (P) is represented by [M L T⁻¹]. This alignment reflects the fundamental relationships in physics.
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