Physics-
General
Easy

Question

Two wires of equal cross-section but one made of steel and the other of copper are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. What is the ratio of the lengths of the two wires? (Given : steel = 2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent right parenthesis

  1. 2 : 11    
  2. 11 : 2    
  3. 20 : 11    
  4. 11 : 20    

The correct answer is: 20 : 11


    Y equals fraction numerator s t r e s s over denominator s t r a i n end fraction blank o r blank s t r a i n equals fraction numerator s t r e s s over denominator Y end fraction o r fraction numerator increment L over denominator L end fraction equals fraction numerator s t r e s s over denominator Y end fraction
    Since, cross-sections are equal and same tension exists in both the wires, therefore, the stresses developed are equal.
    Also, increment L is given to be the same for both the wires.
    therefore blank L blank proportional to Y
    therefore blank fraction numerator L subscript s end subscript over denominator L subscript C u end subscript end fraction equals blank fraction numerator 2 blank cross times 10 to the power of 11 end exponent over denominator 1.1 blank cross times 10 to the power of 11 end exponent end fraction equals fraction numerator 20 over denominator 11 end fraction

    Related Questions to study

    General
    physics-

    The relation between gamma comma eta and K for a elastic material is

    The relation between gamma comma eta and K for a elastic material is

    physics-General
    General
    Maths-

    If f colon R not stretchy rightwards arrow R is defined by f left parenthesis x right parenthesis equals fraction numerator x squared minus 4 over denominator x squared plus 1 end fraction then f left parenthesis x right parenthesis text  is  end text

    If f colon R not stretchy rightwards arrow R is defined by f left parenthesis x right parenthesis equals fraction numerator x squared minus 4 over denominator x squared plus 1 end fraction then f left parenthesis x right parenthesis text  is  end text

    Maths-General
    General
    physics-

    Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm  Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is

    Two long parallel conductors carry currents in opposite directions as shown. One conductor carries a current of 10 A and the distance between the wires is d=10cm  Current I is adjusted, so that the magnetic field at P is zero. P is at a distance of 5 cm to the right of the 10 A current. Value of I is

    physics-General
    parallel
    General
    physics-

    Two long straight wires are set parallel to each other. Each carries a current i in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is

    Two long straight wires are set parallel to each other. Each carries a current i in the opposite direction and the separation between them is 2R. The intensity of the magnetic field midway between them is

    physics-General
    General
    physics-

    A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is

    A current of 10 A is passing through a long wire which has semicircular loop of the radius 20 cm as shown in the figure. Magnetic field produced at the centre of the loop is

    physics-General
    General
    physics-

    In the figure shown, the magnetic field induction at the point O will be

    In the figure shown, the magnetic field induction at the point O will be

    physics-General
    parallel
    General
    physics-

    PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes

    PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes

    physics-General
    General
    physics-

    Current through ABC and A’ B’ C’ is I. What is the magnetic field at P? B P equals P B to the power of ´ end exponent equals r (Here C’ B’ PBC are collinear)

    Current through ABC and A’ B’ C’ is I. What is the magnetic field at P? B P equals P B to the power of ´ end exponent equals r (Here C’ B’ PBC are collinear)

    physics-General
    General
    physics

    The ratio of pathlength and the respective time interval is

    The ratio of pathlength and the respective time interval is

    physicsGeneral
    parallel
    General
    physics

    A particle is thrown in upward direction with initial velocity of 60 m/s. Find average speed and average velocity after 10 seconds. [g =10 MS2]

    A particle is thrown in upward direction with initial velocity of 60 m/s. Find average speed and average velocity after 10 seconds. [g =10 MS2]

    physicsGeneral
    General
    physics-

    The work done in deforming body is given by

    The work done in deforming body is given by

    physics-General
    General
    physics-

    A wire of length 2 L and radius r is stretched between A and B without the application of any tension. If Y is the Young’s modulus of the wire and it is stretched like A C B, then the tension in the wire will be

    A wire of length 2 L and radius r is stretched between A and B without the application of any tension. If Y is the Young’s modulus of the wire and it is stretched like A C B, then the tension in the wire will be

    physics-General
    parallel
    General
    physics-

    A cube of aluminium of sides 0.1 m is subjected to a sharing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be

    A cube of aluminium of sides 0.1 m is subjected to a sharing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be

    physics-General
    General
    physics-

    A uniform slender rod of length L, cross-sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

    A uniform slender rod of length L, cross-sectional area A and Young’s modulus Y is acted upon by the forces shown in the figure. The elongation of the rod is

    physics-General
    General
    physics-

    The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law. P and Q represent

    The graph shows the behaviour of a length of wire in the region for which the substance obeys Hooke’s law. P and Q represent

    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.