Time t velocity v, angular|Units Measurements|JEEMAIN 2021

JEE MAIN 2021

20-07-21 S2

Question

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v and l is :

Select the correct option:

$\left[t^{-1} v^1 \ell^{-2}\right]$

$\left[t^1 v^1 \ell^{-1}\right]$

$\left[t^{-1} v^{-1} \ell^1\right]$

$\left[t^{-1} v^{-2} \ell^1\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

m ∝ tᵃ vᵇ eᶜ m ∝ [T]ᵃ [LT⁻¹]ᵇ [ML²T⁻¹]ᶜ M¹L⁰T⁰ = Mᶜ Lᵇ⁺²ᶜ Tᵃ⁻ᵇ⁻ᶜ Comparing powers c = 1, b = −2, a = −1 m ∝ t⁻¹ v⁻² e¹

Question Tags

JEE Main

Physics

Easy

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