An iron tyre is to be fitted onto a wooden wheel 1.0 m in diameter. The diameter of the tyre is 6 mm smaller than that of wheel the tyre should be heated so that its temperature increases by a minimum of (coefficient of volume expansion of iron is `3.6xx10^-5//^@C`)A. `167^@C`B. `334^@C`C. `500^@C`D. `1000^@C`

An iron tyre is to be fitted onto a wooden wheel 1.0 m in diameter. Th

1.	An iron tyre is to be fitted onto a wooden wheel 1.0 m in diameter. The diameter of the tyre is 6 mm smaller than that of wheel the tyre should be heated so that its temperature increases by a minimum of (coefficient of volume expansion of iron is `3.6xx10^-5//^@C`)A. `167^@C`B. `334^@C`C. `500^@C`D. `1000^@C`
Answer» Correct Answer - C Initial diameter of tyre`=(100-6)mm`,`=994mm`, so initial radius of tyre `R=(994)/(2)=497mm` and change in diameter `DeltaD=6mm`, so `DeltaR=(6)/(2)=3mm` Given that after increasing temperature by `DeltaT` tyre will fit onto wheel Increment in the length (circumference) of the iron tyre `DeltaL=LxxalphaxxDeltaT=Lxx(gamma)/(3)xxDeltaT` `(Asalpha=(gamma)/(3))` `implies2piR=2piR((gamma)/(3))DeltaT` `impliesDeltaT=(3)/(gamma)(DeltaR)/(R )=(3xx3)/(3.6xx10^-5xx497)` [As `Delta R=3` mm and `R = 497` mm] `impliesDelta=500^@C`

Discussion

No Comment Found

Related InterviewSolutions

A sinker of weight `w_0` has an apparent weight `w_1` when weighed in a liquid at a temperature `t_1 and w_2` when weight in the same liquid at temperature `t_2`. The coefficient of cubical expansion of the material of sinker is `beta`. What is the coefficient of volume expansion of the liquid.
Consider two rods of same length and different specific heats (`S_1` and `S_2`), conductivities `K_1` and `K_2` and area of cross section (`A_1` and `A_2`) and both having temperature `T_1` and `T_2` at their ends. If the rate of heat loss due to conduction is equal thenA. `K_1A_1=K_2A_2`B. `K_2A_1=K_1A_2`C. `(K_1A_1)/(S_1)=(K_2A_2)/(S_2)`D. `(K_2A_1)/(S_2)=(K_1A_2)/(S_1)`
If heat is supplied to a solid, its temperature (a) must increase (b) may increase (c) may remain constant (d) may decrease.
If head a supplied to a solid, its temperatureA. must increaseB. may increaseC. may remain constantD. may decrease
A copper block of mass `60kg` is heated till its temperature is increased by `20^(@)C` Find the head supplied to the block specific head capacity of `= 0.09 cal g^(-1)^(@)C`
In an industrial process 10 kg of water per hour is to be heated from `20^@C` to `80^@C`. To do this steam at `150^@C` is passed from a boiler into a copper coil immersed in water. The steam condenses in the coil and is returned to the boiler as water at `90^@C`. How many kilograms of steam is required per hour (specific heat of steam`=1 cal//g^@C`, Latent heat of vapourization`=540 cal//g`)?
Water at `0^@C` was heated until it started to boil and then until it all changed to steam. The time required to heat water from `0^@C` to `100^@C` is 5 min and the time to change boiling water to steam is 28 minutes. If the flame supplied heat at a constant rate, the specific latent heat of vaporisation of water (neglecting heat losses, container etc. is (in `J//g`). (specific heat of water s `=4.2 J//g` )A. 540B. 2268C. 2352D. 2356
A ball is droped as a floor from a height of `2.0m` After the collsion it rises up to a height of `1.5m` Assume thet `40%` of the machanical energy lost goes as thermal energy into the ball.Calculate the rise in the temperature of the ball in the colliation headcapacity of the ball is `800J K^(-1)`
Name three fossil fuels that emit carbon dioxide into the atmosphere
With the increase in carbon dioxide in the atmosphere the acidity of oceans will : (a) decrease (b) remain unaffected (c) increase (d) none of these

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment