Physics-
General
Easy

Question

Two bars A and B of circular cross section, same volume and made of the same material, are subjected to tension. If the diameter of A is half that of B and if the force applied to both the rod is the same and it is in the elastic limit, the ratio of extension of A to that of B will be

  1. 16    
  2. 8    
  3. 4    
  4. 2    

The correct answer is: 16


    Y equals fraction numerator F l over denominator a to the power of 2 end exponent increment l blank end fraction
    increment l proportional to fraction numerator 1 over denominator a to the power of 2 end exponent end fraction o r blank increment l proportional to fraction numerator 1 over denominator D to the power of 4 end exponent end fraction
    fraction numerator increment l subscript A end subscript over denominator increment l subscript B end subscript end fraction equals fraction numerator D subscript B end subscript superscript 4 end superscript over denominator D subscript A end subscript superscript 4 end superscript end fraction equals fraction numerator 1 to the power of 4 end exponent over denominator open parentheses fraction numerator 1 over denominator 2 end fraction close parentheses to the power of 4 end exponent end fraction equals 16
    Y equals fraction numerator F over denominator a end fraction cross times fraction numerator l over denominator increment l end fraction
    Now, V equals a l or l equals fraction numerator Y over denominator a end fraction blank therefore Y equals fraction numerator F V over denominator a to the power of 2 end exponent increment l end fraction

    Related Questions to study

    General
    Physics-

    When the load on a wire is slowly increased from 3 to 5 kg wt, the elongation increases from 0.61 to 1.02 mm. The work done during the extension of wire is

    When the load on a wire is slowly increased from 3 to 5 kg wt, the elongation increases from 0.61 to 1.02 mm. The work done during the extension of wire is

    Physics-General
    General
    Physics-

    If T is surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to a diameter 2 D is

    If T is surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to a diameter 2 D is

    Physics-General
    General
    Physics-

    A ball of mass m moving with a velocity u rebounds from a wall. The collision is assumed to be elastic and the force of interaction between the ball and wall varies as shown in the figure. Then the value of F subscript 0 end subscript is

    A ball of mass m moving with a velocity u rebounds from a wall. The collision is assumed to be elastic and the force of interaction between the ball and wall varies as shown in the figure. Then the value of F subscript 0 end subscript is

    Physics-General
    parallel
    General
    Physics-

    In the given figure, the blocks are at rest and a force 10 N act on the block of 4 kg mass. The coefficient of static friction and the coefficient of kinetic friction are mu subscript s end subscript equals 0.2 blank a n d mu subscript k end subscript equals 0.15 for both the surface in contact. The magnitude of friction force acting between the surface of contact between the 2 kg and 4 kg block in this situation is

    In the given figure, the blocks are at rest and a force 10 N act on the block of 4 kg mass. The coefficient of static friction and the coefficient of kinetic friction are mu subscript s end subscript equals 0.2 blank a n d mu subscript k end subscript equals 0.15 for both the surface in contact. The magnitude of friction force acting between the surface of contact between the 2 kg and 4 kg block in this situation is

    Physics-General
    General
    Physics-

    Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of10 blank m s to the power of negative 2 end exponent. In this box if 1 kg body is suspended with a light string the tension in the string in equilibrium position. (w.r.t experimenter) will be (Take g equals 10 blank m s to the power of negative 2 end exponent)

    Inside a horizontally moving box, an experimenter finds that when an object is placed on a smooth horizontal table and is released, it moves with an acceleration of10 blank m s to the power of negative 2 end exponent. In this box if 1 kg body is suspended with a light string the tension in the string in equilibrium position. (w.r.t experimenter) will be (Take g equals 10 blank m s to the power of negative 2 end exponent)

    Physics-General
    General
    Physics-

    A horizontal force of 25 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.4. The weight of the block is
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965284/1/1211149/Picture905.png" alt=""

    A horizontal force of 25 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.4. The weight of the block is
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965284/1/1211149/Picture905.png" alt=""

    Physics-General
    parallel
    General
    Physics-

    If the resultant of all the external forces acting on a system of particles is zero, then form an inertial frame, one can surely say that

    If the resultant of all the external forces acting on a system of particles is zero, then form an inertial frame, one can surely say that

    Physics-General
    General
    Physics-

    A system is shown in the figure. Assume that cylinder remains in contact with the two wedge, then the velocity of cylinder is

    A system is shown in the figure. Assume that cylinder remains in contact with the two wedge, then the velocity of cylinder is

    Physics-General
    General
    Physics-

    For the situation shown in figure, the block is stationary w.r.t. incline fixed in an elevator. The elevator is having an acceleration of square root of 5 a subscript 0 end subscript whose components are shown in the figure. The surface is rough and coefficient of static friction between the incline and block ismu subscript s end subscript. Determine the magnitude of force exerted by incline on the block. (take a subscript 0 end subscript equals fraction numerator g over denominator 2 end fraction a n d blank theta equals 37 degree comma blank mu subscript s end subscript equals 0.2)
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965275/1/1211145/Picture899.png" alt=""

    For the situation shown in figure, the block is stationary w.r.t. incline fixed in an elevator. The elevator is having an acceleration of square root of 5 a subscript 0 end subscript whose components are shown in the figure. The surface is rough and coefficient of static friction between the incline and block ismu subscript s end subscript. Determine the magnitude of force exerted by incline on the block. (take a subscript 0 end subscript equals fraction numerator g over denominator 2 end fraction a n d blank theta equals 37 degree comma blank mu subscript s end subscript equals 0.2)
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965275/1/1211145/Picture899.png" alt=""

    Physics-General
    parallel
    General
    Physics-

    In an arrangement shown below, the acceleration of block A an B are
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965273/1/1211144/Picture897.png" alt=""

    In an arrangement shown below, the acceleration of block A an B are
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965273/1/1211144/Picture897.png" alt=""

    Physics-General
    General
    Physics-

    Two persons are holding a rope of negligible weight tightly at its ends so that it is horizontal. A 15 kg weight is attached to the rope at the midpoint which now no longer remains horizontal. The minimum tension required to completely straighten the rope is

    Two persons are holding a rope of negligible weight tightly at its ends so that it is horizontal. A 15 kg weight is attached to the rope at the midpoint which now no longer remains horizontal. The minimum tension required to completely straighten the rope is

    Physics-General
    General
    Physics-

    Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between A and B is 0.4, the maximum horizontal force which can make them move without separation is
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965253/1/1211142/Picture63.png" alt=""

    Two blocks A and B of masses 6 kg and 3 kg rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between A and B is 0.4, the maximum horizontal force which can make them move without separation is
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965253/1/1211142/Picture63.png" alt=""

    Physics-General
    parallel
    General
    Physics-

    A block of mass m subscript 1 end subscript lies on the top of fixed wedge as shown in figure [a] and another block of mass m subscript 2 end subscript lies on top of wedge which is free to move as shown in figure [b]. Attimet equals 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no friction between block and wedge in both the figures. Let T subscript 1 end subscript and T subscript 2 end subscript be the time taken by the blocks, respectively, to just reach the horizontal surface
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965250/1/1211141/Picture61.png" alt=""

    A block of mass m subscript 1 end subscript lies on the top of fixed wedge as shown in figure [a] and another block of mass m subscript 2 end subscript lies on top of wedge which is free to move as shown in figure [b]. Attimet equals 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no friction between block and wedge in both the figures. Let T subscript 1 end subscript and T subscript 2 end subscript be the time taken by the blocks, respectively, to just reach the horizontal surface
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965250/1/1211141/Picture61.png" alt=""

    Physics-General
    General
    Physics-

    A plank is held at an angle alpha to the horizontal on two fixed supports AandB. The plank can slide against the supports (without friction) because of the weightM g sin invisible function application alpha. Acceleration and direction in which a man of mass m should move so that the plank does not move are
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965297/1/1211140/Picture59.png" alt=""

    A plank is held at an angle alpha to the horizontal on two fixed supports AandB. The plank can slide against the supports (without friction) because of the weightM g sin invisible function application alpha. Acceleration and direction in which a man of mass m should move so that the plank does not move are
    <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/965297/1/1211140/Picture59.png" alt=""

    Physics-General
    General
    Physics-

    A wooden block of mass M resting on a rough horizontal floor is pulled with a force F at an angle ϕ with the horizontal. If mu is the coefficient of kinetic friction between the block and the surface, then the acceleration of the block is

    A wooden block of mass M resting on a rough horizontal floor is pulled with a force F at an angle ϕ with the horizontal. If mu is the coefficient of kinetic friction between the block and the surface, then the acceleration of the block is

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.