Home
Class 11
PHYSICS
Two rods of the same length, have radii ...

Two rods of the same length, have radii in the ratio `3:4` Their densities are respectively `8000` and `9000 kg//m^(3)`. Their specific heats are in the ratio of `2:3`. When the same amount of heat is supplied to both, the changes in their lengths are in the ratio. (If their linear coefficients are in the ratio `5:6`)

A

`1:1`

B

`5:2`

C

`5:12`

D

`12:5`

Text Solution

Verified by Experts

The correct Answer is:
B
`Q = msDeltatheta, m = rhopir^(2)l`
`Delta theta = (Deltal)/(lalpha) rArr (Deltal_(1))/(Deltal_(2)) = (rho_(2))/(rho_(1)) xx (r_(2)^(2))/(r_(1)^(2)) xx (s_(2))/(s_(1)) xx (alpha_(1))/(alpha_(2))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise NCERT BASED QUESTIONS|25 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL-I(H.W.)|21 Videos

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (C.W.)|20 Videos

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos

  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

The densities of two materials X and Y are in the ratio 1:3. Their specific heats are in the ratio 3:1. If we take same volumes of the two substances, the ratio of their thermal capacities will be

Two cylinderical bodies 'A' and 'B' have their radii in the ratio of 1:2 and their lengths are in the ratio of 3:2. When equal amount of heat energy is supplied to them, the rise in the temperature of A is found to be double the rise in temperature of B. Determine the ratio of their specific heat capacity. The ratio of density of A and B is 3:1

Knowledge Check

  • Two spheres of the same metal have radii in the_ratio 1 : 2 Their heat capacities are in what ratio

    A
    `1:2`
    B
    ` 1:4 `
    C
    ` 2:1`
    D
    ` 1:8 `

  • Two wires of the same material and length are stretched by the same force. Their masses are in the ratio 3:2 . Their elongations are in the ratio

    A
    `3:2`
    B
    `9:4`
    C
    `2:3`
    D
    `4:9`

  • The ratio of densities of two substances is 2 : 3 and their specific heats are in the ratio 3:4. The ratio of their thermal capacities for unit volume is

    A
    `1:1`
    B
    `1 :2`
    C
    `2 :1`
    D
    `8 :9`

    • Similar Questions

    Explore conceptually related problems

    Two cylindrical bodies 'A' and 'B' have their radii in the ratio of 1 : 2 and their lengths are in the ratio of 3 : 2. When equal amount of heat energy is supplied to them, the rise in the temperature of A is found to be double the rise in temperature of B. Determine the ratio of their specific heat capacity. The ratio of density of A and B is 3: 1.

    The ratio of the densities of the two bodies is 3:4 and the ratio of specific heats is 4:3 Find the ratio of their thermal capacities for unit volume?

    The ratio of thermal capacities of two spheres A and B, their diameters are in the ratio 1:2 densities in the ratio 2:1 , and the specific heat in the ratio of 1:3 , will be

    The bodies have thermal capacities in the ratio 3:4 and the rates of loss of heat in the ratio 3:5 Their rates of cooling will be in the ratio of .

    Two wires of same material having length and radii in the ratio 3:4 and 3: 2 respectively, are connected in parallel with a battery of 6 V, the ratio of current is

    Home
    Profile