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Physics Test 136

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Physics Test 136
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  • Question 1
    4 / -1

    In the figure shown the acceleration of A is, , then the acceleration of B is : (A remains in contact with B)

    Solution

     

  • Question 2
    4 / -1

    The speed of sound in hydrogen gas at N.T.P. is 1,328 ms-1. What will be its value in air at N.T.P., if density of hydrogen is 1/16th that of air?

    Solution

     

  • Question 3
    4 / -1

    A balloon that is initially flat, is inflated by filling it from a tank of compressed air. The final volume of the balloon is 5m3. The barometer reads 95 kPa. The work done in this process is

    Solution

    W = P Δ V⁡ = 95 × 103 × (5-0)
    = 4.75 × 105 J

     

  • Question 4
    4 / -1

    Two bodies of same mass tied with an inelastic string of length   together on a horizontal surface. One a horizontal surface of them is projected vertically upwards with velocity  ⁡Find the maximum height up to which the centre of mass of system of the two masses rises.

    Solution

    Velocity of B when string is just taut

    After string in taut both will move up with same speed, 

    By this time centre of mass in at h = l/2

     

  • Question 5
    4 / -1

    The electric potential at a point (x, y, z) is given by V = -x2y - xz3 + 4 The electric field  at that point is

    Solution

    The electric potential at a point,

     

  • Question 6
    4 / -1

    Binding energy per nucleon versus mass number curve for nuclei is shown in figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is

    Solution

    Energy is released in a process when total binding energy of the nucleus (= binding energy per nucleon x number of nucleons) is increased or we can say, when total binding energy of products is more than the reactants.
    Binding energy of reactants = 120 x 7. 5 = 900 MeV
    and binding energy of products = 2 (60 x 8. 5)
    = 1020 MeV > 900 MeV.

     

  • Question 7
    4 / -1

    A wire of length 1.0 m and radius 10-3 m is carrying a heavy current and is assumed to radiate as a black body. At equilibrium, its temperature is 900 K while that of the surroundings is 300 K. The resistivity of the material of the wire at 300 K is π2 × 10-8 ohm-m and its temperature coefficient of resistance is 7.8× 10−3 Co. Find the current in the wire. [Given Stefan's constant = 5.68 × 10-8 W/m2K4]

    Solution

    According to Stefan's law power radiated by a black body is given by.

    According to the given problem Equations (i) and (ii) represent the same.

     

  • Question 8
    4 / -1

    50 V battery is supplying a steady current of 10 amp when connected to an external resistor. If the efficiency of the battery at this current is 25%, then internal resistance of battery is:

    Solution

     

  • Question 9
    4 / -1

    A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it. A charge +Q is now given to its positive plate. Now, the potential difference across the capacitor is.

    Solution

    Initially

    After charge Q is given

    Charge distribution is

     

  • Question 10
    4 / -1

    Energy from the sun falls on the earth at a rate of 1353 W/m2, which is known as solar constant, i.e., the power incident per unit area per second at the top of atmosphere. Find the r.m.s values of the electric and magnetic fields in the sunlight reaching the top of the atmosphere.

    Solution

    For an electromagnetic wave of sinusoidal form

     

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