AP EAMCET202021 Sep 2020Morning ShiftPhysicsMechanical Properties of FluidsActual
A (0.5 ~kg ) block of brass (density (=8 10^3 ~kg ~m ⁻³ ) ) is suspended from a string. What is the tension in the string if the block is completely immersed in water? ( (g=10 ~ms ⁻² ) )
Options
- A(5 ~N )
- B( 0.5 8 10^3 ~N )
- C( 5 8 ~N )
- D( 35 8 ~N )
Correct answer
D. ( 35 8 ~N )
Step-by-step solution
Mass of block, (m=0.5 ~kg ) Density, ( =8 10^3 ~kg ~m ⁻³ ) Volume of block, (V= m = 0.5 8 10^3 =6.25 10⁻⁵ ~m ^3 ) When block is fully immersed in water, then upthrust force on the block ( aligned F₁ & =m g=V _w g & =6.25 10⁻⁵ 10^3 10=0.625 ~N aligned ) ( ) Tension in the string ( aligned T & =m g-F₁ (upthrust force) & =0.5 10-0.625=4.375 ~N = 35 8 ~N aligned )