Question

From a tap 10 m high drops fall at regular intervals. When the first drop reaches the ground, the 5^th drop is about to leave the tap. Find the separation between 2^nd and 3^rd drops.

• A. 35/8 m
• B. 31/8 m
• C. 27/8 m
• D. None

Answer 1

Answer: (D)

None

Answer 2

1/2 gt² = 10 or t = √2s

time interval ∆t = $\frac { \sqrt { 2 } } { 4 } = \frac { 1 } { 2 \sqrt { 2 } }$ s.

x₂ – x₃ = $\frac { 1 } { 2 } \mathrm {~g} \left[ \left( \frac { 3 } { 2 \sqrt { 2 } } \right) ^ { 2 } - \left( \frac { 2 } { 2 \sqrt { 2 } } \right) ^ { 2 } \right]$

= $5 \left[ \frac { 9 } { 8 } - \frac { 1 } { 2 } \right] = \frac { 25 } { 8 } \mathrm {~m}$