From the top of a tower, a stone is thrown up and reaches the ground in time t1 . A second stone is thrown down with the same speed and reaches the ground in time t2. A third stone is released from rest and reaches the ground in time t3 -
A
t3=12(t1+t2)
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B
t3=√t1t2
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C
1t3=1t2−1t1
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D
t23=t21−t22
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Solution
The correct option is Bt3=√t1t2 Applying equations of motion for all three cases −h=ut1−12gt21...(1) −h=−ut2−12gt22...(2) &−h=−12gt23...(3) Multiply equation 1 with t2 and equation 2 with t1 and add them We get, ⇒h=12gt1t2.......(4) Now by (3) & (4) t23=t1t2 t3=√t1t2