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Given below are two statements: 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:

Asked in JEE Main 27th Jan 1st Shift 2024 · Pairs with the same dimensions

• (1) Both Statement I and Statement II are false
• (2) Statement I is true but Statement II is false
• (3) Both Statement I and Statement II are true
• (4) Statement I is false but Statement II is true

Step-by-step solution

Why the other options are wrong

• (1) comes from rejects Statement I, though both quantities are [ML²T⁻¹]
• (3) comes from accepts Statement II, though momentum and torque differ by a power of length
• (4) comes from reverses both judgements

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