Question

Which of the following pairs has same dimensions?
1) Angular momentum of Plank's constant
2) Dipole moment and electric field
3) Both 1 and 2
4) None of these​

Answer 1

Answer:

Which of the following pairs has same dimensions?

1) Angular momentum of Plank's constant

2) Dipole moment and electric field

3) Both 1 and 2

4) None of theseanswr

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11th

Physics

Units and Measurement

Dimensions and Dimensional Analysis

In which of the following p...

PHYSICS

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Asked on October 15, 2019 by

Varaganti Amarwanshi

In which of the following pairs, the two physical quantities have different dimensions?

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VIDEO EXPLANATION

Explanation:

ANSWER

(A) : Using L=mvr=

2π

nh

Thus the angular momentum (L) has the same dimensions as that of Planck's constant (h)

(B) : Impulse I=ΔP

Thus impulse (I) has the same dimensions as that of linear momentum (P)

(C) : Using τ=Iα ⟹ I=

α

τ

where angular acceleration is not dimensionless.

Thus the dimensions of moment of inertia are different from those of moment of force

( OR torque)

(D) : Dimension of energy E=[ML

2

T

−2

]

Dimension of

Answer 2

Angular momentum and Plank's constant have the same dimensions.

Explanation:

We know ,

Angular momentum, L = Iω

I= ML2, ω= T^-1.

So,L=ML^2T^-1.

Again, Planck's constant,h =ML^2T^-1.

So the correct answer is Angular momentum and Plank's constant.

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