Advertisements
Advertisements
Question
Solution
Edge of metal cube = 5 cm.
Density of the metal cube = 9 gcm-3 = 9 × 103 kgm-3.
Volume of the metal cube = 125 cm3 = 125 × 10-6 m3.
Mass of the metal cube =9 × 103 ×125 × 10-6 = 1125 × 10-3 =1.125 kg.
Weight of the liquid = mass × gravity = 1.125 × 10 = 11.25 N.
Density of liquid = 1.2 gcm-3= 1.2 × 103 kgm-3.
Upthrust of the liquid = V × p × g.
Upthrust = 125 × 10-6 × 1.2 × 103 × 10 = 1.5 N.
The apparent weight of the body = weight of liquid - upthrust
Apparent weight = 11.25 N - 1.5 N = 9.75 N
Tension in the string is equal to the apparent weight of the body
So, the tension in the string would be 9.75 N.
APPEARS IN
RELATED QUESTIONS
Express the relationship between the C.G.S. and S.I. units of density.
Water is heated from 0°C to 10°C . How does the density of water change with temperature?
A man first swims in sea water and then in river water. (i) Compare the weights of sea water and river water displaced by him.
(ii) Where does he find it easier to swim and why?
A loaded cargo ship sails from sea water to river water. State and Explain your observations.
A block of wood of mass 24 kg floats on water. The volume of wood is 0.032 m3. Find:
- the volume of block below the surface of water,
- the density of wood.
(Density of water = 1000 kg m−3)
A wooden block floats in water with two-third of its volume submerged.
(a) Calculate the density of wood.
(b) When the same block is placed in oil, three-quarters of its volume is immersed in oil. Calculate the density of oil.
A cork cut in the form of a cylinder floats in alcohol of density 0.8 gcm-3, such that 3/4 of its length is outside alcohol. If the total length of the cylinder is 35 cm and area of cross-section 25 cm2, calculate:
(1) density of cork
(2) wt. of cork
(3) extra force required to submerge it in alcohol
A body of mass ‘m’ is floating in a liquid of density ‘p’
what is the loss of weight of body?
Select the correct option:
The SI unit of density is:
If 2/3rds of a piece of wood submerges in water and 3/4ths of the same piece of wood submerges in oil. Find the density of the oil.
