A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :

Question

A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both stones reach the bottom of building simultaneously. The height of the building is : (A) 35 m (B) 45 m (C) 50 m (D) 25 m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a30019cd316831ca4a8e968d292b6ca5-.png" /> Time for particle to meet =t'=(S text rel /S text rel ) =(20/10)=2 sec Time taken by Ist particle to reach ground =3 sec H =(1/2) g (3)2=45 m

Q. A stone is dropped from the top of a building. When it crosses a point $5 m$ below the top, another stone starts to fall from a point $25 m$ below the top. Both stones reach the bottom of building simultaneously. The height of the building is :

$35 m$

$45 m$

$50 m$

$25 m$

Time for particle to meet $= t^{'} = \frac{S _{rel}}{S _{rel}}$
$= \frac{20}{10} = 2 sec$
Time taken by $I^{s t}$ particle to reach ground $= 3 sec$
$H = \frac{1}{2} g (3)^{2} = 45 m$

Q. A stone is dropped from the top of a building. When it crosses a point 5m below the top, another stone starts to fall from a point 25m below the top. Both stones reach the bottom of building simultaneously. The height of the building is :

35m

45m

50m

25m