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A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle $ \theta $ with the horizontal. If the disc is replaced by a ring of the same mass M and the same radius R, the ratio of the frictional force on the ring to that on the disc will be
For a ring $ I = MR^2 $
A difference of temperature of $25 ^\circ C $ is equivalent to a difference of
$ { \triangle C \over 100 ^\circ } = { \triangle F \over 180 ^\circ } $ $ \therefore {25 \over 100} = { \triangle F \over 180 } $
What is the value of absolute temperature on the Celsius Scale ?
$ T = 273.15 + t^\circ C $ $ 0 = 273.15 + t^\circ C $
The temperature of a substance increases by $ 27 ^\circ $ What is the value of this increase of Kelvin scale ?
equal
At Which temperature the density of water is maximum?
$ 4 ^\circ $
The temperature on celsius scale is $ 25 ^\circ C $ . What is the corresponding temperature on the Fahrenheit Scale?
$ { c \over 5 } = {F -32 \over 9 } $
The temperature of a body on Kelvin Scale is found to be x.K.when it is measured by Fahrenhit thesmometes. it is found to be $x^0F$ , then the value of x is .
$ {F -32 \over 9 } = { K -273 \over 5 } $
A Centigrade and a Fahrenhit thesmometes are dipped in boiling wates-The wates temperature is lowered until the Farenhit thesmometes registered $140 ^\circ $ what is the fall in thrmometers
$ { \triangle Tc \over 100 } = { \triangle TF \over 180 } $ $ { \triangle Tc \over 100 } \triangle TC = 40 ^ \circ C $
A uniform metal rod is used as a bas pendulum. If the room temperature rises by $ 10 ^\circ C $ and the efficient of line as expansion of the metal ofthe rod is, $ 2 \times 10^{-6} 0_c^{-1} $ what will have percentage increase
$ { \triangle T \over T } = { 1 \over 2} 2 \triangle 0 = { 1 \over 2} \times 2 \times 10 ^ {-6} \times 10 = 10 ^ {-5} $ $ \% in increase = { \triangle T \over T } \times 100 = 10 ^ {-5} \times 100 = 1 \times 10 ^ {-3} \% $
A gas expands from 1 litre to 3 litre at atmospheric pressure. The work done by the gas is about
$ W = p \triangle V $
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