Question

Assertion: If a car and a motorbike are running at the same speed, then the car has greater kinetic energy.

Reason: Kinetic energy is directly proportional to the square of the velocity of the object.

• A. Both Assertion (A) and Reason (R) are correct and the reason is the correct explanation of the assertion.
• B. Both Assertion (A) and Reason (R) are correct but the reason is not the correct explanation of the assertion.
• C. Assertion (A) is correct, but the reason (R) is false.
• D. Assertion (A) is false, but the reason (R) is correct.

Answer 1

The correct option is B

Both Assertion (A) and Reason (R) are correct but the reason is not the correct explanation of the assertion.

Explanation for the assertion statement:

1. The energy possessed by an object due to its motion is called kinetic energy.
2. Kinetic energy is given by the expression $K.E=\frac{1}{2}m{v}^2$.
3. A car has more mass than a motorbike.
4. As the kinetic energy is directly proportional to the mass of the object, the car has more kinetic energy.

Explanation for the reason statement:

1. Kinetic energy of an object is given by the expression $K.E=\frac{1}{2}m{v}^2$.
2. The above expression shows that the kinetic energy is directly proportional to the square of the velocity of the object.

Hence, the correct answer is (B) Both Assertion (A) and Reason (R) are correct but the reason is not the correct explanation of the assertion.