CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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 25C from December. If the metal's coefficient of superficial (area) expansion is 46 × 105/C, how much extra cologne can I refill my bottle with, compared to the initial volume (answer in mL)?


A

5 mL

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

2 mL

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

10 mL

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

3.5 mL

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

2 mL


As the bottle enlarges over the change of seasons, so will the cavity inside.

Now, the coefficient of volume expansion

γ = 3β2

γ = 32 × 46 × 105/C.

The change in volume ΔV will be-

ΔV = (VV) = V γΔT

= 43 × π × 33 × 69 × 105 × 25 cm3

= 1.95 cm3 = 1.95 mL 2 mL.

I guess I get about one extra spray on refill, thanks to thermal expansion!


flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Thermal Expansion
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon