Area and Volume Expansion
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A sphere of diameter 7.0 cm and mass 266.5 g floats in a bath of a liquid. As the temperature is raised, the sphere begins to sink at a temperature of 35∘C. If the density of the liquid is 1.527 g/cm3 at 0∘C, find the coefficient of cubical expansion of the liquid. Neglect the expansion of the sphere.
2.32 × 10-4/°C
1.22 × 10-4/°C
8.28 × 10-4/°C
6.36 × 10-4/°C
You have with you, a mug of 500 mL, and a spoon of length 12 cm, both made of pure aluminum. When the AC in the room brings down the room temperature from 34∘C, to 16∘C you find upon precise measurement, that the spoon got shorter by 0.00499 cms. What will be the new volume of the mug?
501.12 mL
502.3 mL
499.38 mL
498.54 mL
On a hot day in Jaipur, an oil trucker loaded 40 kL (kilolitres) of diesel fuel. On his way to Shimla, he encounters a temperature drop of 20∘C, where he stopped and delivered the entire load. How many litres did he deliver? The γ for diesel is 9.50 × 10−4/∘C and α for his steel truck is 11 × 10−6/∘C. If you find that the volume has decreased, think about who is paying for the "missing” diesel.
39, 240 L
39, 810 L
40, 000 L
40, 126 L
2.3 × 106/°C
1.2 × 10-5/°C
1.2 × 105/°C
2.3 × 10-5/°C
Whenever a liquid is heated in a container, expansion in liquid as well as container takes place. If r is the volume expansion coefficient of liquid and is coefficient of liner expansion. Match the entries of Column I and Column II
Column IColumn II(i) Liquid level rises with respect to container(A) g=2a(ii) Liquid level remains same with respect to container(B) 2α<γ<3α(iii) Liquid level drops with respect to container(C) g=3a(iv) Liquid level remains same with respect to ground(D) g>3a
- (i) - (A), (ii) – (C), (iii) – (B), (iv) – (D)
- (i) - (B), (ii) – (C), (iii) – (D), (iv) – (A)
- (i) - (D), (ii) – (A), (iii) – (B), (iv) – (C)
- (i) - (D), (ii) – (C), (iii) – (B), (iv) – (A)
An aluminium sphere is dipped into water at 15∘C(γaluminium = 69 × 10−6/∘C;γwater=214 × 10−6/∘C). If the temperature is increased, the force of buoyancy:
will increase
will decrease
will stay the same
will increase or decrease depending on the radius of the sphere
A gas in an airtight container is heated from 25∘C to 90∘C. The density of the gas will:
( Consider there is a negligible expansion of container)
Increase considerably
Remain the same
Increase slightly
Decrease slightly
I received my favourite cologne, bottled in a metallic flask with a spherical cavity, on my birthday in December. I used it modestly only on special occasions, and found that I have finally emptied the bottle in mid-April, when the temperature had risen by 25∘C from December. If the metal's coefficient of superficial (area) expansion is 46 × 10−5/∘C, how much extra cologne can I refill my bottle with, compared to the initial volume (answer in mL)?
5 mL
2 mL
10 mL
3.5 mL
A glass flask of volume one litre at 0∘C is filled, level full of mercury at this temperature. The flask and mercury are now heated to 100∘C. How much mercury will spill out, if coefficient of volume expansion of mercury is 1.82×10−4/∘C and linear expansion of glass is 0.1×10−4/∘C respectively
21.2 cc
15.2 cc
1.52 cc
2.12 cc
A one-litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. What is the volume of mercury in the flask? Given the coefficient of linear expansion of glass is 9×10−6 ∘C−1 and the coefficient of volume expansion of mercury is 1.8×10−4 ∘C−1
50 cm3
100 cm3
150 cm3
200 cm3
