| Directions: Assertion - Reaction type. Each of these contains tow statements: Statement I (Assertion), Statement II (Reason). Each of these questions also has four alternative choices, only one of which is correct. You have to select the correct choices from the codes (a), (b), (c) and (d) given below: |
| Statement I: When speed of projection of a body is made n times, its time of flight becomes n times. |
| Statement II: At this speed the range of projectile becomes n times. |
A) Statement I is true; Statement II is true; Statement II is not a correct explanation for Statement I,
B) Statement I is true; Statement II is false.
C) Statement I is false; Statement II is true.
D) Statement I is true; Statement II is true; Statements is the correct explanation for Statement I.
Correct Answer: B
Solution :
The time of flight is given by \[T=\frac{2u\sin \theta }{g}\]and\[T'=\frac{2(nu)\sin \theta }{g}=nT\] Range of projectile \[R=\frac{{{u}^{2}}\sin \theta }{g}-\frac{{{(nu)}^{2}}\sin 2\theta }{g}=\frac{{{n}^{2}}{{u}^{2}}\sin 2\theta }{g}\]\[={{n}^{2}}R\]
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