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Nature of Physical World and Measurement-1marks

11th Standard

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Physics

choose the correct answer:
Time : 00:30:00 Hrs
Total Marks : 20
    Part-A
    20 x 1 = 20
  1. A uniform force of (2\(\hat { i }\)+\(\hat { j }\)) N acts on a particle of mass 1 kg. The particle displaces from position (3\(\hat { j }\)+\(\hat { k }\)) m to (5\(\hat { i }\)+3\(\hat { j }\)) m. The work done by the force on the particle is

    (a)

    9 J

    (b)

    6 J

    (c)

    10 J

    (d)

    12 J

  2. A ball of mass 1 kg and another of mass 2kg are dropped from a tall building whose height is 80 m. After, a fall of 40 m each towards Earth, their respective kinetic energies will be in the ratio of

    (a)

    \(\sqrt2:1\)

    (b)

    \(1:\sqrt2\)

    (c)

    2:1

    (d)

    1:2

  3. A body of mass 1 kg is thrown upwards with a velocity 20 ms-1 It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction?(Take g = 10 ms-2)

    (a)

    20 J

    (b)

    30 J

    (c)

    40 J

    (d)

    10 J

  4. A body of mass 4 m is lying in xy-plane at rest. It suddenly explodes into three pieces. Two pieces each of mass m move perpendicular to each other with equal speed v. The total kinetic energy generated due to explosion is

    (a)

    mv2

    (b)

    \(\frac{3}{2}\)mv2

    (c)

    2mv2

    (d)

    4mv2

  5. The potential energy of a system increases, if work is done

    (a)

    by the system against a conservative force

    (b)

    by the system against a non-conservative force

    (c)

    upon the system by a conservative force

    (d)

    upon the system by a non- conservative force

  6. What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

    (a)

    \(\sqrt{2gR}\)

    (b)

    \(\sqrt{3gR}\)

    (c)

    \(\sqrt{5gR}\)

    (d)

    \(\sqrt{gR}\)

  7. The work done by the conservative force for a closed path is

    (a)

    always negative

    (b)

    zero

    (c)

    always positive

    (d)

    not defined

  8. If the linear momentum of the object is increased by 0.1% then the kinetic energy is Increased by

    (a)

    0.1 %

    (b)

    0.2 %

    (c)

    0.4 %

    (d)

    0.01 %

  9. If the potential energy of the particle is \(\alpha -\frac { \beta }{ 2 } { x }^{ 2 }\) then force experienced by the particle is

    (a)

    F=\(\frac { \beta }{ 2 } { x }^{ 2 }\)

    (b)

    F=βx

    (c)

    F=-βx

    (d)

    F=-\(\frac { \beta }{ 2 } { x }^{ 2 }\)

  10. A wind-powered generator converts wind U(x) energy into electric energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to,

    (a)

    v

    (b)

    v2

    (c)

    v3

    (d)

    v4

  11. A particle is placed at the origin and a force F = kx is acting on it (where k is a positive constant). If U (0) = 0, the graph of U(x) versus x will be (where U, is the potential , energy function)

    (a)

    (b)

    (c)

    (d)

  12. A particle which is constrained to move along x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x) =kx + ax3. Here, k and a are positive constants. For x≥0, the functional form of the potential, energy U(x) of the particles

    (a)

    (b)

    (c)

    (d)

  13. A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then, the long piece will have a force constant of

    (a)

    \(\frac{2}{3}\)k

    (b)

    \(\frac{3}{2}\)k

    (c)

    3k

    (d)

    6k

  14. Convert 1 kWh in joule

    (a)

    1.2 x102 J

    (b)

    2.4 x104 J

    (c)

    3.6 x106 J

    (d)

    4.4 x103 J

  15. A motor which is capable of raising 2,000 litres of water in 3 mins from a well 120 m deep. So what is the power of a motor?

    (a)

    8.730 kW

    (b)

    7.840 kW

    (c)

    11.652kW

    (d)

    13.066kW

  16. If momentum of a body increases by 100% then what will be percentage increase in its kinetic energy?

    (a)

    200%

    (b)

    100%

    (c)

    300%

    (d)

    400%

  17. A particles moves along x-axis from x = 0 to x = 7m under the influence of a force given by f(x)=12-2x+3x2 then the workdone is,

    (a)

    205 J

    (b)

    390 J

    (c)

    378 J

    (d)

    291 J

  18. A particles along y axis from y = 1 m to y = 3 m under the influence of a force given by f(y)=6-2y+3y2 then the work done is,

    (a)

    48 J

    (b)

    50 J

    (c)

    -48 J

    (d)

    - 50 J

  19. An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water?

    (a)

    \({{1}\over{2}}{m}{v}^{2}\)

    (b)

    mv3

    (c)

    \({{1}\over{2}}{m}{v}^{3}\)

    (d)

    \({{1}\over{2}}{m}{v}^{2}\)

  20. Two equal masses m1 and m2 moving along the same straight line with velocities + 3 m/s and -5 m/s respectively collide elastically. Their velocities after the collision will be respectively

    (a)

    - 4 m/s and +4 m/s

    (b)

    +4 m/s for both

    (c)

    - 3 m/s and +5 m/s

    (d)

    - 5 m/s and + 3 m/s

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