A) \[1:4\]
B) \[2:1\]
C) \[4:13\]
D) \[2:5\]
Correct Answer: C
Solution :
[c] After collision, balls exchange their velocities |
\[\therefore \] \[{{V}_{A}}=\sqrt{2gh}\] and \[{{V}_{B}}=\sqrt{2g(4h)}=2\sqrt{2gh}\] |
Height gained by A will be \[{{h}_{A}}=h\] |
But path of B will be first straight line and then parabolic as shown in figure |
After calculation, we can show that \[{{h}_{B}}=\frac{13}{4}h\] |
\[\therefore \] \[\frac{{{h}_{A}}}{{{h}_{B}}}=\frac{4}{13}\] |
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