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Three different substances have the spec...

Three different substances have the specific heats in the ratio `1:2 : 3` and the temperature increases in the ratio `3 : 2 : 1` when the same heat is supplied to the three substances. The ratio of their masses is

A

`1 : 1: 1`

B

`1 : 2 : 3`

C

`3 : 2 : 1`

D

`4 : 3 : 4`

Text Solution

Verified by Experts

The correct Answer is:
D

`Q = mS(Delta theta) = const rArr (m_(1))/(m_(2)) = (S_(2))/(S_(1)) xx (Delta theta_(2))/(Delta theta_(1))`.
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Knowledge Check

  • Two liquids of specific heat ratio 1:2 are at temperature 2theta and theta

    A
    if equal amounts of them are mixed, then temperature of mixture is `1.5 theta`
    B
    if equal amounts of them are mixed, then temperature of mixture is `4/3 theta`
    C
    for their equal amounts, the ratio of heat capacities is 1:1
    D
    for their equal amounts, the ratio of their heat capacities is 1:2.
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    `1:2`
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    `1:8`
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    `2:1`
  • Two sphere with radii in the ratio 1 : 2 have specific heats in the ratio x : y and densities in the ratio z : x . The ratio of their thermal capacities is

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    `z : 2y`
    B
    `zy : 8`
    C
    `z : 8y`
    D
    `xy : 2z`
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