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Derive the equation
V2-u2 = 2as
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A car moving with a uniform acceleration of 10 m/s2 on a straight road changes its speed from 10 m/s to 30 m/s. Find the time lapsed for the change of speed.
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A body starts to slide over a horizontal surface with an initial velocity of 0.5 ms−1. Due to friction, its velocity decreases at the rate of 0.05 ms−2. How much time will it take for the body to stop?
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A train is moving at a speed of 90 km/h. On applying brakes, a retardation of 2.5 ms-2 is created. At what distance before, should the driver apply the brakes to stop the train at the station?
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Name the instrument which has the least count
1 mm
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A microscope has its main scale with 20 divisions in 1 cm and vernier scale with 25 divisions, the length of which is equal to the length of 24 divisions of main scale. The least count of microscope is
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A stopwatch has 10 divisions graduated between the 0 and 5 s marks. What is its least count?
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A vernier has 10 divisions and they are equal to 9 divisions of the main scale in length. If the main scale is calibrated in mm, what is its least count?
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A microscope is provided with a main scale graduated with 20 divisions in 1 cm and a vernier scale with 50 division on it of length same as of 49 divisions of main scale. Find the least count of the microscope.
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The main scale of a vernier callipers is calibrated in mm and 19 divisions of main scale are equal in length to 20 divisions of the vernier scale. In measuring the diameter of a cylinder by this instrument, the main scale reads 35 divisions and 4th division of vernier scale coincides with a main scale division. Find
(i) Least count and (ii) Radius of a cylinder.
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Define the terms : oscillation
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What do you understand by amplitude of simple pendulum?
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Name two factors on which the time period of a simple pendulum depends. Write the relation for the time period in terms of the above named factors.
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How does the time period (T) of a simple pendulum depend on its length (l)? Draw a graph showing the variation of T2 with l. How will you use this graph to determine the value of g (acceleration due to gravity)?
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Two simple pendulums A and B have equal lengths, but their bobs weigh 50 gf and 100 gf, respectively. What would be the ratio of their time periods? Give reasons for your answer.
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State the numerical value of the frequency of oscillation of a second's pendulum. Does it depend on the amplitude of oscillations?
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A seconds pendulum is taken to a place where acceleration due to the gravity falls to one-fourth. How is the time period of the pendulum affected, if at all? Give reasons. What will be its new time period?
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When is a body said to be in motion?
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What do you mean by motion in one direction?
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Give an example of the motion of a body moving with a constant speed but with a variable velocity. Draw a diagram to represent such a motion.
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