Question

Assertion (A): The velocity ratio of a combination of n movable pulleys with a fixed pulley is always 2ⁿ.

Reason (R): The velocity ratio of a single fixed pulley is always more than 1.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion.

• Both Assertion (A) and Reason (R) are true but Reason (R) is not the correction explanation of Assertion.

• Assertion (A) is false, but Reason (R) is true.

• Assertion (A) is true, but Reason (R) is false.

Answer 1

Assertion (A) is true, but Reason (R) is false.

Explanation:

Assertion (A) is true because each additional movable pulley doubles the velocity ratio, making the total velocity ratio 2ⁿ.

Reason (R) is false because the velocity ratio of a single fixed pulley is exactly 1, never more than 1.