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Physics Test - 4

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Physics Test - 4
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Weekly Quiz Competition
  • Question 1
    3 / -1

    The length and diameter of some samples of wires are given below, needed to be tested for the extent of the elongation. When the same tension is applied to each of the wires, which of the following will have the minimum elongation?

    Solution

    We know,

    We see that elongation is inversely proportional to the square of diameter d or directly proportional to the ratio of 

    Therefore, the ratio 1/d2 is minimum for option 4.

    Hence, it is the correct option.

  • Question 2
    3 / -1

    On closing an organ pipe suddenly at one end, it was observed that the frequency of the third harmonic of the closed pipe in increased by 300 Hz from the fundamental frequency of the first case. What is the fundamental frequency of the open pipe?

    Solution

    If L be the length of the open pipe, fundamental frequency of the open pipe, f0, is:

  • Question 3
    3 / -1

    The second's pendulum of a clock is made up of copper. When it was calibrated, the temperature was 25oC. In summer days, the temperature is increased by 10oC. Calculate the time lost or gained by the clock in a week.

    Solution

  • Question 4
    3 / -1

    A cell with internal resistance r is connected to a resistive circuit with a load resistance 10 ohm. The maximum power delivered to the load resistance will be obtained if r is equal to

    Solution

    Using maximum power transfer theorem

    Power delivered to the load will be maximum when the internal resistance of the cell is equal to the load resistance.

    r = 10Ώ

  • Question 5
    3 / -1

    For two spheres of the same material and same radius, one being hollow and the other solid, which of the following statements is/are correct?

    Solution

    The electric charge will always reside on the surface of the sphere. As the diameters of the both spheres are same, both can be equally charged.

    Also, the charge density and electric field intensity will also be same for both the spheres.

    Therefore, it is the correct option.

  • Question 6
    3 / -1

    A person measures the time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration of g/3, then the time period of the pendulum will be

    Solution

    When the lift accelerates upwards with an acceleration of g/3, the effective acceleration is

  • Question 7
    3 / -1

    An EM wave detector is moving towards an EM wave emitting source. The source is emitting an electromagnetic microwave of frequency 10 GHz and the speed of the detector is 1.5 × 108 m/s. What will be the frequency of the emitted wave measured by the detector?

    Solution

    As we know,

  • Question 8
    3 / -1

    Two monatomic ideal gases A and B having same volume are initially kept at same temperature and pressure. The volume of the gases and B are then compressed to half. If gas A is compressed isothermally and gas B compressed adiabatically, the relation between the final pressure of the gases Pa and Pb respectively will be

    Solution

    Let the intial temperature be T, pressure be P and volume be V for isotheral process

    For adiabatic process

    This is our required solution.

  • Question 9
    3 / -1

    Two identical capacitors, having plate separation d0, are connected parallel to each other across a point 'A' as shown in the figure. Charge Q is imparted to the system by connecting a battery across the points 'A' and 'B', and then the battery is removed. If the first plate of the first capacitor and the second plate of the second capacitor started moving with constant velocity u0 towards the left, then find the magnitude of current flowing in the loop.

    Solution

    Let each plate move a distance 'x' from its initial position.

    Now, lets consider that charge 'q' flows in the loop.

    Using Kirchoff's Voltage Law, we get

  • Question 10
    3 / -1

    The resistance of a conducting wire at a temperature of 27oC is found to be 1. If the temperature coefficient of the wire is given to be (1.25 × 10-3)°C-1, at what temperature will the resistance of the wire be 2Ω?

    Solution

    As we know,

    Rt = Ro (1 + αt)

    Let R1 = Resistance at temperature 27oC

    And R2 = Resistance at temperature t2

    Therefore,

    This is our required solution.

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