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One end of conducting rod is maintained ...

One end of 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:

A

the temperature is made `200^(@)C` and the area of corss-section of the rod is doubled

B

the temperature is made `100^(@)C` and length of the rod is made four times

C

area of cross-section of rod is halved and length doubled

D

the temperature is made `100^(@)C` and area cross-section of rod and length both are doubled

Text Solution

Verified by Experts

The correct Answer is:
D
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When 1 g of ice melts at 0^@C

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Two identical rods are connected in parallel. One end of the rods is maintained at 100^(@)C and other end is kept in 0^(@)C ice . The rate at which the ice melts is Q_(1) gm/sec . Now the rods are connected in series . The ends are again maintained at 100^(@) C and kept in 0^(@)C ice . Now the rate at which ice melts is Q_(2) gm/sec . Then Q_(2) //Q_(1) is

One end of the rod of length l, thermal conductivity K and area of cross-section A is maintained at a constant temperature of 100^@C . At the other end large quantity of ice is kept at 0^@C . Due to temperature difference, heat flows from left end to right end of the rod. Due to this heat ice will start melting. Neglecting the radiation losses find the expression of rate of melting of ice. .

The container A contains ice at O^(@)C . A conducting uniform rod PQ of length 4R is used to transfer heat to the ice in the container. The end P of the rod is maintained at 100^(@)C and the other end Q is kept inside container A. The complete ice melts in 23 minutes. In another experiment, two conductors in shape of quarter circle of radii 2R and R are welded to the conductor PQ at M and N respectively and their other ends are inserted inside the container A. All conductors are made of same material and have same cross sectional area. Once again the end P is maintained at 100^(@)C and this time the com- plete ice melts in t min- ute. Find t. Assume no heat loss from the curved surface of the rods. [Take pi~=3.0 ]

During the melting of ice, temperature .

One end of a metal rod of length 1.0 m and area of cross section 100 cm^(2) is maintained at . 100^(@)C . If the other end of the rod is maintained at 0^(@)C , the quantity of heat transmitted through the rod per minute is (Coefficient of thermal conductivity of material of rod = 100 W//m-K )

One end of 0.5 m long metal rod is in steam at 100^@C and the other end is put in ice at 0^@C . If ice melts at the rate of 10 g/min, calculate the thermal conductivity of the metal. Take, cross sectional area of rod = 2pi cm^2 . Latent ice of heat = 80 cal/g

One end of a steel rod (K=46Js^(-1)m^(-1) ^(@)C^(-1) of length 1.0m is kept in ice at 0^(@)C and the other end is kept in boiling water at 100^(@)C . The area of cross section of the rod is 0.04cm^(2) . Assuming no heat loss to the atmosphere, find the mass of the ice melting per second. Latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) .

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