Which of the following is the dimensional formula of impulse?
A. [M⁰LT⁻¹]
B. [MLT⁻¹]
C. [ML²T⁻¹]
D. [MLT⁻²]
Answer: Option B
Solution (By JKSSB Mock Tests)
Impulse = Force × time = change in momentum. Momentum = mass × velocity, dimensions [M][LT⁻¹] = [MLT⁻¹]. Force dimensions [MLT⁻²], multiplied by time gives [MLT⁻¹]. Same as momentum.
Explanation:
Surface tension is defined as Force per unit length (F/L). Dimensional formula: [MLT⁻²] / [L] = [MT⁻²]. A spring constant (k) is defined by Hooke's Law as Force per unit extension (F/x), which also has dimensions [MLT⁻²] / [L] = [MT⁻²]. Thus, both share the same dimensional formula.
Explanation:
Electrostatic force acts between charges at a distance without contact. Gravity, magnetic force also non-contact. Friction and normal require contact.
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