Physics, asked by GauriPol, 1 year ago

dimensional formula of k

Answers

Answered by shaurychdback
9
 According to Hooke's law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. It can be represented in an equation as F = kx, where F is the force applied, k is the spring constant and x is the extension of the object usually in meters.

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Answered by Anonymous
0

Dimensional Formula of k-

k is the symbol of the Boltzmann Constant.

The dimensional formula of (k) i.e., Boltzmann constant is derived by,

[M1 L2 T-2 K-1]

where,

*M is the Mass.

*K is the Temperature.

*L is the Length.

*T is the Time.

Derivation-

*Boltzmann Constant (k) = Energy × [Temperature]-1 . . . (equation1)

Since,

Energy = M × a × displacement = [M1 × M0 L1 T-2 × L1]

Therefore,

*The dimensions of energy = [M1 L2 T-2] . . . (equation2)

And,

*The dimensional formula of temperature = [M0 L0 T0 K1] . . .(equation3)

By substituting (equation2) and (equation3) in equation (1)

we get,

Boltzmann Constant(k) = Energy × [Temperature]-1

=> k = [M1 L2 T-2] × [M0 L0 T0 K1]-1 = [M1 L2 T-2 K-1].

Therefore,

The Boltzmann constant (k) is dimensionally being represented as-

[M1 L2 T-2 K-1]

#SPJ3

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