Question

obtain dimension of force constant k​

Answer 1

Answer:

M1 L0 T-2

Explanation:

force constant k = force /displacement

dimension formula of force=M1 L1 T-2

dimension formula for displacement =M0 L1 T0

so , k= M1 L1 T-2/ M0 L1 T0

k = M1 L0 T-2

Answer 2

Answer:

The dimensional formula of force constant (k) will be  $ML^{0} T^{-2}$.

Explanation:

The physical quantity is correctly described in terms of its fundamental unit according to the formulation of the dimensional formula.

We need to evaluate the dimensional formula of the force constant k.

We know the formula,

F = -kx

where F is the force, k is the force constant or spring constant and x is the displacement.

So, k = - F/x

The dimensional formula for Force is

F = [M] × [$L^{1} T^{-2}$] = $ML^{1} T^{-2}$

Now, the dimension of displacement is L.

So, The dimensional formula for the force constant will be $(ML^{1} T^{-2})/L$

Now, the dimensional formula will be  $ML^{0} T^{-2}$.

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