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JEE Main 20154 April
Exam
JEE Main
Year
2015
Date
4 April
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2015 · 4 April · Physics · Motion in One Dimension

Two stones are thrown up simultaneously from the edge of a cliff...

Two stones are thrown up simultaneously from the edge of a cliff 240m240m high with an initial speed of 10ms−110m{s}^{- 1} and 40ms−140m{s}^{- 1} respectively. Which of the following graph best represents the time variation of the relative position of the second stone with respect to the first? (Assume stones do not rebound after hitting the ground and neglect air resistance, take g=10ms−2g = 10{ms}^{- 2})(the figure are schematic and not drawn to scale)Two stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40mTwo stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40mTwo stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40mTwo stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40mTwo stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40m

Options

  1. AAn organism used as a biofertilizer for raising soyabean crop is
  2. BAn organism used as a biofertilizer for raising soyabean crop is
  3. CAn organism used as a biofertilizer for raising soyabean crop is
  4. DAn organism used as a biofertilizer for raising soyabean crop is

Correct answer

D. An organism used as a biofertilizer for raising soyabean crop is

Step-by-step solution

S1=10t−12gt2{S}_{1} = 10t - \dfrac{1}{2}g{t}^{2}. When S1=−240{S}_{1} = - 240⇒t=8s⇒ t = 8s. So, at t=8t = 8 seconds first stone will reach the ground. S2=40t−12gt2{S}_{2} = 40t - \dfrac{1}{2}g{t}^{2}. Till t=8st = 8s, S2−S1=30t{S}_{2} - {S}_{1} = 30t. But after 8s8s S1{S}_{1} is constant =−240= - 240. Relative to stone 11 for (t1>8)s{t}_{1} > 8)s displacements of stone 22 , S2+240{S}_{2} + 240. And at t=12st = 12s seconds stone will reach the ground. The corresponding graph of the relative position of second stone with respect to first is,

Two stones are thrown up simultaneously from the edge of a cliff 240m high with an initial speed of 10m s ^ - 1 and 40m
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