Tag: learning how to measure

Questions Related to learning how to measure

Multiple choice physics learning how to measure measurement of area and volume measurement of volume measurement of area, volume and density

The volume of water in a measuring cylinder is 55 mL When a stone tied to a string is immersed in the water the water level rises to 83 mL. Find the volume of the stone

  1. $28ml^2$
  2. $28ml$
  3. $38ml$
  4. $28m^2l$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Initial level of water  $v _i = 55 \ ml$
Final level of water  $v _f = 83  ml$
Volume of stone  $V _{stone} = V _f - V _i = 83 - 55 = 28 \ ml$
Multiple choice physics learning how to measure measurement of area and volume measurement of volume measurement of area, volume and density

A cubic metre of water at $0^o$C is solidified into ice, density of ice is $0.96$ of water at $0^o$C. Which of the following deductions are true?
$1$. Water expands when solidified.
$2$. Ice will float in water at $0^o$C with half its volume above the surface.
$3$. Density of all liquids are higher than its density when solidified.

  1. $3$ only
  2. $2$ only
  3. $1$ only
  4. $1$ and $2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When water freezes into ice, its density decreases, meaning its volume increases (it expands). This expansion is a unique property of water. Statement 1 is true. Statement 2 is false because ice floats with about 90% of its volume submerged, not 50%. Statement 3 is false as a general rule.

Multiple choice physics learning how to measure measurement of area and volume measurement of volume measurement of area, volume and density

A cubical block of wood of specific gravity $0.5$ and a chunk of concrete of specific gravity $2.5$ are fastened together. The ratio of mass of wood to the mass of concert which makes the combination to float with its entire volume submerged in water is 

  1. $1/5$
  2. $1/3$
  3. $3/5$
  4. $2/5$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M_w be the mass of wood and M_c be the mass of concrete. For the combination to float completely submerged, total buoyant force equals total weight: (M_w + M_c)g = (V_w + V_c)rho_w g. Using volumes in terms of mass and specific gravities (0.5 and 2.5), we solve for the ratio of masses to get 3/5.