Identify the correct statements from the following:
(A) Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative
(B) Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative
(C) Work done by friction on a body sliding down an inclined plane is positive
(D) Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity is zero
(E) Work done by the air resistance on an oscillating pendulum is negative
Choose the correct answer from the options given below:

We need to identify the correct statements about work done in various situations.

(A) Work done by a man lifting a bucket out of a well:

The man applies an upward force, and the displacement is upward. Since force and displacement are in the same direction, the work done by the man is positive. The statement says negative — INCORRECT.

(B) Work done by gravitational force in lifting a bucket out of a well:

Gravitational force acts downward, while the displacement is upward. Since force and displacement are in opposite directions, the work done by gravity is negative. — CORRECT. ✓

(C) Work done by friction on a body sliding down an incline:

Friction acts up the incline (opposing motion), while the body moves down the incline. Since force and displacement are in opposite directions, the work done by friction is negative. The statement says positive — INCORRECT.

(D) Work done by applied force on a body moving on rough horizontal plane with uniform velocity:

For uniform velocity on a rough surface, the applied force equals the friction force and is in the direction of motion. Therefore, the work done by the applied force is positive, not zero. — INCORRECT.

(E) Work done by air resistance on an oscillating pendulum:

Air resistance always opposes the direction of motion. Since force and displacement are always in opposite directions, the work done by air resistance is negative. — CORRECT. ✓

The correct statements are B and E.

The correct answer is Option 1: B and E only.