Self Studies

Motion in A Str...

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  • Question 1
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    Which one of the following represents the displacement time graph of two objects AA and BB moving with zero relative speed?

  • Question 2
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    A bus starts moving with acceleration 2 ms2ms^{-2}. A cyclist 96 m behind the bus starts simultaneously towards the bus at a constant speed of 20 m/s.

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    After what time will he be able to overtake the bus?

  • Question 3
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    A particle accelerates from rest at a constant rate for some time and attains a velocity of 8 m/sec8  { m }/{ sec }. Afterwards it decelerates with the constant rate and comes to rest. If the total time taken is 4 sec4  sec, the distance travelled is

  • Question 4
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    A particle experiences constant acceleration for 2020 seconds after starting from rest. If it travels a distance s1{ s }_{ 1 } in the first 1010 seconds and distance s2{ s }_{ 2 } in the next 10 seconds, then

  • Question 5
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    Free 238U^{238}{U} nuclei kept in a train emit alpha particles. When the train is stationary and a uranium nucleus decays, a passenger measures that the separation between the alpha particles and the recoiling nucleus becomes xx, in tt time after the decay. If a decay takes places, when the train is moving at a uniform speed vv, the distance between the alpha particle and the recoiling nucleus at a time tt after the decay, as measured by the passenger will be  

  • Question 6
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    A body travels 2  m2\  m in the first two second and 2.20  m2.20\  m in the next 44 second with uniform deceleration. The velocity of the body at the end of 99 second is

  • Question 7
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    At t=0t=0, an arrow is fired vertically upwards with a speed of 98ms198m{ s }^{ -1 }. A second arrow is fired vertically upwards with the same speed at t=5st=5s. Then, (Take g=9.8ms2g=9.8ms^{-2})

  • Question 8
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    A stone is dropped into a well in which the level of water is hh below the top of the well. If vv is velocity of sound, the time TT after which the splash is heard is given by

  • Question 9
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    A balloon starts rising from the ground with an acceleration of 1.25 m/s21.25  { m }/{ { s }^{ 2 } }. After 8  s8 \; s, a stone is released from the balloon. The stone will (Taking g=10m/s2g=10{ m }/{ { s }^{ 2 } })

  • Question 10
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    Figure shows the VTV-T graph for two particles PP and QQ. The relative velocity of PP w.r.t. QQ is:

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