Question

In the formula P=Pe -hc/x n is Planck's constant
and c is speed of light. The dimensional formula for
x is

​

Answer 1

Dimensional Formula of Planck's constant is [M^1×L^2×T^-1]

Dimensional formula of Inductance is [M^1×L^2×T ^-2×A^-2]

Explanation:

Inductance, ϕ=LI

But, ϕ has units (magnetic field)*(length)^2

Magnetic field from Lorentz force law has units, (Force)(velocity)^(-1)(charge)^(-1)

Therefore, dimensions of magnetic field,

[B]=M×L×T^−2×L×T−1×A×T

⇒[B]=M×L×T^−2×L^A

⇒[B]=M×T^−2×A^−1

Therefore dimensions of magnetic flux,

[ϕ]=[B]×L^2

⇒[ϕ]=M×T^−2×L^2×A^−1

Thus finally, dimensions of inductance,

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