Statement (I): Planck's constant and angular momentum have same dimensions

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Q.
Given below are two statements: [2024]

Statement (I): Planck's constant and angular momentum have same dimensions.

Statement (II): Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is true but Statement II is false

2 Both Statement I and Statement II are false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans.
(1)

$[h] = M L^{2} T^{- 1}$

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

$[P] = M L T^{- 1}$

$[τ] = M L^{2} T^{- 2}$

(Here $h$ is Planck's constant, $L$ is angular momentum, $P$ is linear momentum and $τ$ is moment of force)

Solution

Q.
Given below are two statements: [2024]

Statement (I): Planck's constant and angular momentum have same dimensions.

Statement (II): Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is true but Statement II is false

2 Both Statement I and Statement II are false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans.
(1)

$[h] = M L^{2} T^{- 1}$

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

$[P] = M L T^{- 1}$

$[τ] = M L^{2} T^{- 2}$

(Here $h$ is Planck's constant, $L$ is angular momentum, $P$ is linear momentum and $τ$ is moment of force)

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Solution

Q. Given below are two statements: [2024] Statement (I): Planck's constant and angular momentum have same dimensions. Statement (II): Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the correct answer from the options given below:

1 Statement I is true but Statement II is false

2 Both Statement I and Statement II are false

3 Both Statement I and Statement II are true

4 Statement I is false but Statement II is true

Ans. (1) [h]=ML2T-1 [L]=ML2T-1 [P]=MLT-1 [τ]=ML2T-2 (Here h is Planck's constant, L is angular momentum, P is linear momentum and τ is moment of force)

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Q.
Given below are two statements: [2024]

Statement (I): Planck's constant and angular momentum have same dimensions.

Statement (II): Linear momentum and moment of force have same dimensions.

In the light of the above statements, choose the correct answer from the options given below:

Ans.
(1)

$[h] = M L^{2} T^{- 1}$

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

$[P] = M L T^{- 1}$

$[τ] = M L^{2} T^{- 2}$

(Here $h$ is Planck's constant, $L$ is angular momentum, $P$ is linear momentum and $τ$ is moment of force)