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JEE Mains · Physics · STD 11 - 3.2 motion in plane

Given below are two statements : one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\) : When a body is projected at an angle \(45^{\circ}\), it's range is maximum. Reason \(R\) : For maximum range, the value of \(\sin 2 \theta\) should be equal to one. In the light of the above statements, choose the correct answer from the options given below :

  1. A Both \(A\) and \(R\) are correct but \(R\) is NOT the correct explanation of \(A\)
  2. B Both \(A\) and \(R\) are correct \(R\) is the correct explanation of \(A\)
  3. C \(A\) is true but \(R\) is false
  4. D \(A\) is false but \(R\) is true
Verified Solution

Answer & Solution

Correct Answer

(B) Both \(A\) and \(R\) are correct \(R\) is the correct explanation of \(A\)

Step-by-step Solution

Detailed explanation

\(R =\frac{ u ^2}{ g } \sin 2 \theta\) \(R\) is maximum for \(2 \theta=90^{\circ}\).
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