JEE Mains · Physics · STD 11 - 5. work,energy,power and collision

Given below are two statements: Statement \(I:\) A truck and a car moving with same kinetic energy are brought to rest by applying brakes which provide equal retarding forces. Both come to rest in equal distance. Statement \(II:\) A car moving towards east takes a turn and moves towards north, the speed remains unchanged. The acceleration of the car is zero. In the light of given statements, choose the most appropriate answer from the options given below.

A Statement \(I\) is correct but Statement \(II\) is incorrect.
B Statement \(I\) is incorrect but Statement \(II\) is correct.
C Both Statement are correct.
D Both Statement are false.

Verified Solution

Answer & Solution

Correct Answer

(A) Statement \(I\) is correct but Statement \(II\) is incorrect.

Step-by-step Solution

Detailed explanation

Work done \(=\Delta KE\) Work done \(=- FS =0- K\) \(S =\frac{ K }{ F }\) Statement \(1 \rightarrow\) correct Statement \(2 \rightarrow\) incorrect

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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List-I	List-II
A. Spring constant	I. \(ML ^2 T^{-2} K^{-1}\)
B. Thermal conductivity	II. \(ML ^0 T^{-2}\)
C. Boltzmann constant	III. \(ML ^2 T^{-3} A^{-2}\)
D. Inductive reactance	IV. \(MLT ^{-3} K^{-1}\)