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AP EAMCET · PHYSICS · Motion In Two Dimensions

Assertion (A) The range of a projectile is maximum when the angle of projection is \(45^{\circ}\).
Reason (R) The range of a projectile depends only on the angle of projection.

  1. A Both (A) and (R) are true and (R) is the correct explanation of \((A)\).
  2. B Both (A) and (R) are true but \((R)\) is not 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

(C) (A) is true but (R) is false.

Step-by-step Solution

Detailed explanation

Assertion is true. (A) The range of projectile is maximum when the angle of projection is \(45^{\circ}\). \(R_{\max }=\frac{u^2 \sin (2 \times 45)}{g}=\frac{u^2}{g}\) But reason \((R)\) is false. \(\therefore\) Range of a projectile, \(R=\frac{u^2 \sin 2 \theta}{g}\) Hence, the…