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Mix Test - 7

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Mix Test - 7
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The reading of the ammeter in the given circuit is

    Solution
    The given circuit can be redrawn as shown in figure.




    where R1 = and R2 = . The current I2 is given by




  • Question 2
    1 / -0
    A box is gently placed on a horizontal conveyor belt moving with a speed of 4 ms–1. If the coefficient of friction between the box and the belt is 0.8, then through what distance will the block slide without slipping? Take g = 10 ms–2
    Solution
    The force of friction acting on the box = mg, where m is the mass of the box.
    Acceleration of the block a = g

    The box will slide on the belt without slipping till it attains a speed (v), the speed of the belt.

    The distance 's' moved by the box is given by

  • Question 3
    1 / -0
    If the distance between Earth and the sun becomes 4 times as much, then the time period of revolution will become
    Solution
    According to Kepler's third law, the square of orbital period, T, of a planet is proportional to the cube of its mean distance, R, from the sun.
    T2 ∝ R3
    T ∝
    T1/T2 =

    =

    = 1 /
    = 1/8
    T2 = 8 T1
  • Question 4
    1 / -0
    The resistance of a wire of length L is R. If the wire is stretched to increase its length to 4L, then what will be the new resistance of the wire?
    Solution
    Here, the length of the wire is increased four times, but the volume of the wire remains the same.
    Volume = AL
    L' = 4L
    Resistance of the wire is given by

  • Question 5
    1 / -0
    For a transistor, the current gain is 0.96. It is used as an amplifier in a common base circuit with a load resistance of 4 k. If the dynamic resistance of the emitter-base junction is 48 , then the voltage gain is
    Solution
    Voltage gain =
  • Question 6
    1 / -0
    A ball falling from a tower of height 'h' covers a distance h/2 in the last second of its motion. What is the height of the tower? (Take g = 10 ms–2)
    Solution
    The distance travelled in nth second is given by,

    , u = 0, a = g
  • Question 7
    1 / -0
    The time period 't' of a drop of liquid of density 'd' and radius 'r', vibrating under surface tension 's', is given by the formula t = . If a = 1 and c = -1, then b is
    Solution
  • Question 8
    1 / -0
    A thin prism P1 with angle 4° is made from a glass of refractive index 1.54 combined with another thin prism P2 made from a glass of refractive index 1.72 to produce dispersion without deviation. The angle of prism P2 is
    Solution
    .
  • Question 9
    1 / -0
    In an inductor, the current I (in amperes) varies with time t (in seconds) as:
    I = 5 + 16t.
    If the emf induced in the inductor is 10 mV, then what is its self inductance?
    Solution
  • Question 10
    1 / -0
    When one of the slits in Young's experiment is covered with a transparent sheet of thickness 3.6 10-3 cm, the central fringe shifts to a position originally occupied by the 30th bright fringe. If = 6000 , then the refractive index of the sheet is
    Solution
  • Question 11
    1 / -0
    Two springs A and B have force constants k1 and k2, respectively. The ratio of the work done on A to that done on B, when they are stretched by the same force, is
    Solution
  • Question 12
    1 / -0
    A rod, 1 m long, made of a material of thermal conductivity 420 W/m/K has one of its ends in melting ice and the other end in boiling water. If its cross-sectional area is 10 cm2, then the amount of ice that melts in 1 minute is
    Solution
  • Question 13
    1 / -0
    An α–particle of energy 5 MeV is scattered through 180o from a fixed uranium nucleus. The distance of closest approach is of the order of
    Solution
  • Question 14
    1 / -0
    Three thin metal rods, each of mass M and length L, are welded to form an equilateral triangle. The moment of inertia of the composite structure, about an axis passing through the centre of mass of the structure and perpendicular to its plane, is
    Solution

  • Question 15
    1 / -0
    The effective capacitance of two capacitors of capacitances C1 and C2 (with C2 > C1) connected in series is times the effective capacitance when they are connected in parallel. The ratio of C2 to C1 is
    Solution

    not possible.
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