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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: (1) Statement I is true but Statement II is false (2) Both Statement I and Statement II are false (3) Statement I is false but Statement II is true (4) Both Statement I and Statement II are true
- Statement I is true but Statement II is false
- Both Statement I and Statement II are false
- Statement I is false but Statement II is true
- Both Statement I and Statement II are true
Correct answer: Statement I is true but Statement II is false
Solution
Planck's constant has dimensions of action (energy multiplied by time), which are the same as angular momentum, making Statement I true. However, linear momentum (mass times velocity) and moment of force (torque) have different dimensions, thus Statement II is false.
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