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JEE Main Test 102

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JEE Main Test 102
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Weekly Quiz Competition
  • Question 1
    4 / -1

    If 4a2 + 9b2 + 16c2 = 2(3ab + 6bc + 4ca), where a, b and c are non - zero numbers, then a, b, c are in

    Solution

     

  • Question 2
    4 / -1

    A 20 cm long capillary tube is dipped in water. The water rises upto 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be

    Solution

     

  • Question 3
    4 / -1

    Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

    Solution

     

  • Question 4
    4 / -1

    A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V. The efficiency of the engine is

    Solution

     

  • Question 5
    4 / -1

    For |χ| < 1, the constant term in the expansion of

    Solution

     

  • Question 6
    4 / -1

    Solution

     

  • Question 7
    4 / -1

    A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C.

    Solution

     

  • Question 8
    4 / -1

    The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is 1.130A° . Locate the centre of mass of the molecule relative to the carbon atom

    Solution

     

  • Question 9
    4 / -1

    The bond length of HCl molecule is 1.275 Å and its dipole moment is 1.03 D. The ionic character of the molecule (in per cent) (charge of the electron = 4.8 x 10-10 esu) is

    Solution

     

  • Question 10
    4 / -1

    If A is a square matrix, then

    Solution

     

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