Surface tension of a soap bubble is $$2.0 \times 10^{-2} \mathrm{Nm}^{-1}$$. Work done to increase the radius of soap bubble from $$3.5 \mathrm{~cm}$$ to $$7 \mathrm{~cm}$$ will be:
Take $$\left[\pi=\frac{22}{7}\right]$$
A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the tyre when the temperature increases to $$36^{\circ} \mathrm{C}$$ is
Match List I with List II
| List I | List II | ||
|---|---|---|---|
| A. | Surface tension | I. | $$\mathrm{kg~m^{-1}~s^{-1}}$$ |
| B. | Pressure | II. | $$\mathrm{kg~ms^{-1}}$$ |
| C. | Viscosity | III. | $$\mathrm{kg~m^{-1}~s^{-2}}$$ |
| D. | Impulse | IV. | $$\mathrm{kg~s^{-2}}$$ |
Choose the correct answer from the options given below :
A bowl filled with very hot soup cools from 98$$^\circ$$C to 86$$^\circ$$C in 2 minutes when the room temperature is 22$$^\circ$$C. How long it will take to cool from 75$$^\circ$$C to 69$$^\circ$$C?
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