Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water…

Q: Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is  ρ , the surface tension of water is T and the atmosphere pressure is p0. Consider a vertical section ABCD of the water column through a diameter of the breaker. The force on water on one side of this section by water on the other side of this section has magnitude

Numerical

(a) $\large 2 p_0 R h + \pi R^2 \rho g h – 2 R T$

(b) $\large 2 p_0 R h + R \rho g h^2 – 2 R T$

(c) $\large p_0 R^2 + R \rho g h^2 – 2 R T$

(d) $\large p_0 R^2 + R \rho g h^2 + 2 R T$

Ans: (b)

The adjacent graph shows the extension of a wire of length 1 m suspended from the top of a roof

Q: The adjacent graph shows the extension (Δl) of a wire of length 1 m suspended from the top of a roof at one end and with a load W connected to the other end. If the cross-sectional area of the wire is 10-6m2, Calculate from the graph the young’s modulus of the of the material of the wire

Numerical

(a)2 × 1011N/m2

(b) 2× 10-11N/m2

(c) 3× 1012N/m2

(d) 2× 1013N/m2

Ans: (a)