SET 8
1) Fill in the blanksA B C
a) Power Watt ……………….
b) ………………. kgm2 ML2
c) Torque Joule ……………….
d) Surface Tension ………………. MT-2
(Score 2)
2) If a + bt + ct 2 = x, where x – displacement, t – time. Find the dimensions of b and c. (Score 2)
3) An astronaut in a space shuttle moves along a straight line. The data given below gives the
measured velocities at every two seconds starting from t = 2s.
Velocity
(m/s)
2 4 6 2 0 -2 -4 -2
Time
(s)
2 4 6 8 10 12 14 16
a) Draw v- t graph from t = 2 s to t = 16 s. (Score 3)
b) Find the average acceleration in the time interval from t = 2s to t = 6 s. (Score 2)
4) An athlete throws a javelin with a velocity ‘U’ at an angle ‘θ’
a) Name the shape of the path described and the nature of motion. (Score 1)
b) To achieve the maximum horizontal distance at what angle should he throw the javelin. (Score 1)
c) At the highest point of its motion, what are the values of vertical and horizontal components
of velocity? (Score 2)
d) Derive an expression for maximum horizontal distance travelled. (Score 2)
5) A body is suspended from the roof of a lift by means of a string. If the mass of the body is ‘M’ and ‘T’
the tension of the string, then
a) When the lift is not moving, T = …………………..
b) If the lift is moving up with an acceleration a, T = …………………..
c) If the lift is moving down with an acceleration a, T = …………………..
d) If the string is broken T = ………………….. (Score 4)
6) A car of mass ‘m’ is moving along a circular banked road of radius ‘r’. Draw a neat diagram to
represent the various forces acting on the body. (Score 2)
7) When a body is lifted through a height ‘h’ work has to be done. Let the body fall freely from the
same height .
a) Graphically represent the variations of PE and KE (Score 1)
b) Find the height at which PE = KE (Score 1)
c) State work energy theorem. (Score2)
d) State and prove law of conservation of energy in this case. (Score2)
8) A person is sitting on a stool that is free to rotate nearly without friction about a vertical axis. While
rotating suppose the person stretches his hands out.
a) What happens to the moment of inertia if he folds his hands? (Score 1)
b) What happens to the speed of rotation? (Score 1)
c) State the law behind this phenomenon. (Score 2)
9) Earth can be treated as a sphere of radius ‘R’ and mass ‘M’. ‘A’ is a point at a height ‘h’ above the
surface of Earth . The acceleration due to gravity at Earth surface is ‘g’
a) Obtain a formula to evaluate the acceleration due to gravity at A . (Score 2)
A
b) If we move from equator to pole, the value of ‘g’ …………………………
(increases / decreases / remains the same) (Score 1)
c) What is the value of ‘g’ at the centre of earth? (Score 1)
11-(i) When a fluid is moving, the pressure changes with its velocity. Then
a) How will you explain the working of a sprayer? (Score 2)
b) Name the principle behind this. State the principle. (Score 2)
OR
11-(ii) When rain drops are falling down, they will attain a constant velocity after some time
a) Name the velocity (Score 1)
b) Write the condition at which the drop attains equilibrium. (Score 1)
c) Arrive at an expression for this velocity. (Score 2)
12- By applying first law of thermodynamics
a) Obtain relation between Cp and Cv (Score 3)
b) What happens to the internal energy during isothermal process? (Score 1)
13) A reversible heat engine is operating at two different temperatures T1 and T2 with
an ideal gas as the working substance.
a) Draw the Carnot cycle and explain its working. (Score 3)
b) Derive the expression for efficiency. (Score 2)
14-(i) Which of the following motions represent SHM?
a) Rotation of earth about its axis.
b) Oscillations of the simple pendulum.
c) An arrow released from the bow. (Score 1)
Temperature
(ii) Justify your answer mathematically and hence derive the period of oscillations of
the same. (Score 3)
15-a) When you perform experiment with resonance column apparatus in a lab, at certain height
you can hear maximum sound. What is the concept behind it? (Score1)
b) For an one end closed organ pipe, show that υ1 : υ2: υ3 =1 : 3 : 5 (Score2)
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