Physics-
General
Easy

Question

One end of a conducting rod is maintained at temperature 50°C and at the other end ice is melting at 0°C. The rate of melting of ice is doubled if

  1. the temperature is made 200°C and the area of cross-section of the rod is doubled    
  2. the temperature is made 100°C and length of the rod is made four times    
  3. area of cross section of rod is halved and length is doubled    
  4. the temperature is made 100°C and area of cross-section of rod and length both are doubled    

The correct answer is: the temperature is made 100°C and area of cross-section of rod and length both are doubled


    Rate of melting of ice µ rate of heat transfer (dQ/dt).
    Further fraction numerator d Q over denominator d t end fraction equals fraction numerator t e m p e r a t u r e   d i f f e r e n c e over denominator open parentheses fraction numerator 1 over denominator K A end fraction close parentheses end fraction or fraction numerator d Q over denominator d t end fraction proportional to fraction numerator left parenthesis t e m p e r a t u r e   d i f f e r e n c e right parenthesis over denominator l end fraction A
    If temperature difference, A and l are all doubled then fraction numerator d Q over denominator d t end fraction and hence, rate of melting of ice will be doubled.

    Related Questions to study

    General
    Physics-

    In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures, t1 and t2. The liquid columns in the two arms have heights l1 and l2 respectively. The coefficient of volume expansion of the liquid is equal to

    In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures, t1 and t2. The liquid columns in the two arms have heights l1 and l2 respectively. The coefficient of volume expansion of the liquid is equal to

    Physics-General
    General
    Physics-

    A very light rod AB is initially hung from a point P by means of two identical copper wires of the same length as the rod as shown in the figure. Particles of masses 1 kg and 4 kg are then attached to the ends A and B of the rod. The ratio of the fundamental frequencies of vibration of the wires AP and BP, i.e., fraction numerator f subscript A end subscript over denominator f subscript B end subscript end fraction =

    A very light rod AB is initially hung from a point P by means of two identical copper wires of the same length as the rod as shown in the figure. Particles of masses 1 kg and 4 kg are then attached to the ends A and B of the rod. The ratio of the fundamental frequencies of vibration of the wires AP and BP, i.e., fraction numerator f subscript A end subscript over denominator f subscript B end subscript end fraction =

    Physics-General
    General
    Physics-

    The figures represent two snaps of a travelling wave on a string of mass per unit length, mu = 0.25 kg/m. The two snaps are taken at time t = 0 and at t equals fraction numerator 1 over denominator 24 end fractions. Then

    Figure I

    Figure II

    The figures represent two snaps of a travelling wave on a string of mass per unit length, mu = 0.25 kg/m. The two snaps are taken at time t = 0 and at t equals fraction numerator 1 over denominator 24 end fractions. Then

    Figure I

    Figure II

    Physics-General
    parallel
    General
    Physics-

    Two blocks, each of mass m, are connected by a massless thread Y and A represent Young’s modulus and cross sectional area of wire respectively. The strain developed in the thread is

    Two blocks, each of mass m, are connected by a massless thread Y and A represent Young’s modulus and cross sectional area of wire respectively. The strain developed in the thread is

    Physics-General
    General
    Physics-

    A string is hanging from a rigid support. A transverse wave pulse is set up at the bottom. The velocity v of the pulse related to the distance covered by it is given as

    A string is hanging from a rigid support. A transverse wave pulse is set up at the bottom. The velocity v of the pulse related to the distance covered by it is given as

    Physics-General
    General
    Physics-

    At t=0 source starts falling under gravity and a detector is projected upwards with a velocity 10 m/s. For the vertical upward motion of detector

    At t=0 source starts falling under gravity and a detector is projected upwards with a velocity 10 m/s. For the vertical upward motion of detector

    Physics-General
    parallel
    General
    Physics-

    The amplitude of resulting wave dues to superposition of y1 = A sin (omegat - kx) & y2 = A sin (omegat - kx + delta) is

    The amplitude of resulting wave dues to superposition of y1 = A sin (omegat - kx) & y2 = A sin (omegat - kx + delta) is

    Physics-General
    General
    Physics-

    When two simple harmonic motions of same periods, same amplitude, having phase difference of 3pi/2, and at right angles to each other are super imposed, the resultant wave form is a

    When two simple harmonic motions of same periods, same amplitude, having phase difference of 3pi/2, and at right angles to each other are super imposed, the resultant wave form is a

    Physics-General
    General
    Physics-

    When the displacement from the mean position is doubled, the quantity that will vary will be

    When the displacement from the mean position is doubled, the quantity that will vary will be

    Physics-General
    parallel
    General
    Physics-

    S1 and S2 are two identical springs. The oscillation frequency is f. If one spring is removed, frequency will be

    S1 and S2 are two identical springs. The oscillation frequency is f. If one spring is removed, frequency will be

    Physics-General
    General
    Physics-

    Two blocks each of mass m are connected with springs of force constant k. Initially springs are relaxed. Mass A is displaced to left and B is displaced towards right by same amount and released then time period of oscillation of any one block (Assume collision to be perfectly elastic)

    Two blocks each of mass m are connected with springs of force constant k. Initially springs are relaxed. Mass A is displaced to left and B is displaced towards right by same amount and released then time period of oscillation of any one block (Assume collision to be perfectly elastic)

    Physics-General
    General
    Physics-

    Three springs of each force constant k are connected as shown figure. Point mass m is slightly displaced to compress A and released. Time period of oscillation

    Three springs of each force constant k are connected as shown figure. Point mass m is slightly displaced to compress A and released. Time period of oscillation

    Physics-General
    parallel
    General
    Physics-

    A pendulum makes perfectly elastic collision with block of m lying on a frictionless surface attached to a spring of force constant k. Pendulum is slightly displaced and released. Time period of oscillation of the system is

    A pendulum makes perfectly elastic collision with block of m lying on a frictionless surface attached to a spring of force constant k. Pendulum is slightly displaced and released. Time period of oscillation of the system is

    Physics-General
    General
    Physics-

    The period of the free oscillations of the system shown here if mass M1 is pulled down a little and force constant of the spring is k and masses of the fixed pulleys are negligible, is

    The period of the free oscillations of the system shown here if mass M1 is pulled down a little and force constant of the spring is k and masses of the fixed pulleys are negligible, is

    Physics-General
    General
    Physics-

    A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of a gas. The cylinder is kept with its axis horizontal. If the piston is slightly compressed isothermally from its equilibrium position, it oscillates simple harmonically, the period of oscillation will be

    A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of a gas. The cylinder is kept with its axis horizontal. If the piston is slightly compressed isothermally from its equilibrium position, it oscillates simple harmonically, the period of oscillation will be

    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.