Question
What do you understand by torque? Find the moment of force acting on a particle. Write examples also.
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Answer
self
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Two metre scales, one of steel and the other of aluminium, agree at $20^{\circ} \mathrm{C}$. Calculate the ratio aluminium-centimetre/ steel-centimetre at:
a. $0^{\circ} \mathrm{C}$,
b. $40^{\circ} \mathrm{C}$
c. $100 \mathrm{C} . \alpha$ for steel $=1.1 \times 10^{-5}{ }^{\circ} \mathrm{C}{ }^{-1}$ and for aluminium $=2.3 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$.
→a. $0^{\circ} \mathrm{C}$,
b. $40^{\circ} \mathrm{C}$
c. $100 \mathrm{C} . \alpha$ for steel $=1.1 \times 10^{-5}{ }^{\circ} \mathrm{C}{ }^{-1}$ and for aluminium $=2.3 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$.
The resistance of the rheostat shown in the figure. is $30\Omega.$ Neglecting the meter resistance, find the minimum and maximum currents through the ammeter as the rheostat is varied.
→The force of buoyancy exerted by the atmosphere on a balloon is B in the upward direction and remains constant. The force of air resistance on the balloon acts opposite to the direction of velocity and is proportional to it. The balloon carries a mass M and is found to fall down near the earth's surface with a constant velocity v. How much mass should be removed from the balloon so that it may rise with a constant velocity v?
Determine the position of the centre of mass of a hemisphere of radius R.
A pipe $20cm$ long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a $430Hz$ source? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is $340m s^{–1}$).
→On the basis of equipartion law of energy find expressions for two principal molar specific heat of a gas as well as for y (the ratio of two specific heats) for a gas having P degrees of freedom per molecule.
A metre scale is made up of steel and measures correct length at $16^{\circ} \mathrm{C}$. What will be the percentage error if this scale is used:
a. On a summer day when the temperature is $46^{\circ} \mathrm{C}$.
b. On a winter day when the temperature is $6^{\circ} \mathrm{C}$ ? Coefficient of linear expansion of steel $=11 \times 10^{-60} \mathrm{C}^{-1}$.
→a. On a summer day when the temperature is $46^{\circ} \mathrm{C}$.
b. On a winter day when the temperature is $6^{\circ} \mathrm{C}$ ? Coefficient of linear expansion of steel $=11 \times 10^{-60} \mathrm{C}^{-1}$.
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