A car starts from rest and accelerates uniformly at 2 m/s² for 10 s. Distance covered in 10th second is MCQ with Answer and Explanation

Explanation:
L = r × p: [L][MLT⁻¹] = [ML²T⁻¹]. Same as Planck's constant. Memory tip: 'Angular momentum: [ML²T⁻¹]; action quantities share dimensions'. Dimensional analysis frequently tested in competitive exams.

Explanation:
After n half-lives, activity reduces to (1/2)ⁿ of initial. Set (1/2)ⁿ = 1/16 ⇒ (1/2)ⁿ = (1/2)⁴ ⇒ n = 4 half-lives. Thus time = 4 × half-life. Memory aid: '1/2ⁿ remaining after n half-lives; 1/16 = 1/2⁴ ⇒ 4 half-lives'. This radioactivity calculation is frequently tested in competitive exams. Always express fraction as power of 1/2 to find half-life count. This problem assesses understanding of exponential decay without heavy computation.

Explanation:
Viscosity η = Force/(Area × velocity gradient). Force [MLT⁻²], area [L²], velocity gradient [T⁻¹]. So η = [MLT⁻²]/([L²][T⁻¹]) = [ML⁻¹T⁻¹]. Often asked.