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Physics Test 125

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Physics Test 125
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Weekly Quiz Competition
  • Question 1
    4 / -1

    E, m, p and G denote energy, mass, angular momentum and gravitational constant. Then has the dimensions of

    Solution

     

  • Question 2
    4 / -1

    A circular conducting loop of radius R carries a current I. Another straight infinite conductor carrying current I passes through the diameter of this loop as shown in the figure. The magnitude of force exerted by the straight conductor on the loop is :-

    Solution

    Take an arc of angle which make angle ‘θ’ with vertical. (dθ very small → point ‘P’)

    ⇒ Magnetic field due to infinite wire at this point

     (where r = R sinθ i.e. perpendicular distance of ‘P’ from line)

    ⇒ force dF on this Point (Arc of length dl = Rdθ) is 

    Point (small arc) symmetric to point ‘P’ will also have same force dF

     

  • Question 3
    4 / -1

    Find the intensity of electromagnetic wave if the electric field in electromagnetic wave is 

    Solution

    Electric field of electromagnetic wave Intensity of Electromagnetic wave in terms of maximum electric field is

     

  • Question 4
    4 / -1

    The displacement of a particle is represented by the equation y= 40cosωt. The motion is

    Solution

     

  • Question 5
    4 / -1

    In the circuit shown in figure find the current in branch BD of the circuit :

    Solution

     

  • Question 6
    4 / -1

    A particle undergoes from position O(0, 0, 0) to A (a, 2a, 0) via path in x-y plane under the action of a force which varies with particle’s (x, y, z) coordinate as  Work done by the force  is: (all symbols have their usual meaning and they are in SI unit.)

    Solution

     

  • Question 7
    4 / -1

    A wall made up of two layer X and Y. The thickness of the two layers is the same, but materials are different. The thermal conductivity of X is thrice than that of Y. In thermal equilibrium, the temperature difference between the two ends is 56oC. Then the difference of temperature across wall X is

    Solution

    Suppose the thickness of each wall is ‘t’. Then

    Hence temperature difference across the walls X is (θ ) = 210 C

     

  • Question 8
    4 / -1

    One million small identical drops of water, all charged to the same potential, are combined to form a single large drop. If E is the sum of the electrostatic energy of each small drop, the combined energy of the large drop is

    Solution

     

  • Question 9
    4 / -1

    An unknown particle  originally at rest emits 5 alpha particles with speed 11385 km/h. Find the recoil speed of the unknown daughter nucleus.

    Solution

     

  • Question 10
    4 / -1

    The number of AM broadcast stations that can be accommodated at a 150 kHz band width, if the highest frequency modulating carrier is 5 kHz is

    Solution

    Total bandwidth = 150 kHz

    fa(max) = 5 kHz

    Any station being modulated by a 5 kHz will produce an upper-side frequency 5 kHz above its carrier and a lower-side frequency 5 kHz below its carrier.

    Thus  one station needs a bandwidth of 10 kHz.

    Number of stations accommodated = Total BW /BW per station

    =(150×103)/(10×103)=15

     

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