Question

Directions: Some questions (Assertion – reason type) are given below. Each question contains Statement I (Assertion) and statement II (Reason). Each question has 4 choices (a), (b), (c) and (d) out of which only one is correct. So, select the correct choice.

Statement I A system of two particle is having non- zero total kinetic energy, but can have total momentum zero

Statement II Kinetic energy is a scalar quantity and is always positive, while momentum is a vector sum of two vectors can be zero.

• A. Statement I is true, statement II is true, statement II is a correct explanation for statement I
• B. Statement I is true, statement II is true, statement II is not a correct explanation for statement I
• C. Statement I is true, statement II is false
• D. Statement I is false, statement II is true

Answer 1

The correct option is A

Statement I is true, statement II is true, statement II is a correct explanation for statement I

Assertion:

1. The total momentum of two objects of identical mass traveling in opposing directions is zero, yet their total kinetic energy is unquestionably nonzero.
2. In general, a system's kinetic energy can never be zero as long as the system is in motion.

Reason:

1. Momentum is a vector quantity, meaning it has a direction in space, and momenta combine in the same way that forces do.
2. Kinetic energy is a scalar quantity with no spatial direction, and kinetic energies combine in the same way that regular numbers do.

Therefore, Statement I is true, statement II is true, and statement II is a correct explanation for the statement I.

Hence option (a) is the correct answer