## 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

(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)

## Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of the orifice…

Q: Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g=10 m/s2)

(a)50 m2/s2

` (b) 50.5 m2/s2

(c) 51 m2/s2

(d) 52m2/s2

Ans: (a)

## The pressure of a medium is changed from 1.01×105 Pa to 1.165×105 Pa and charge in volume

Q: The pressure of a medium is changed from 1.01×105 Pa to 1.165 × 105 Pa and charge in volume is 10% keeping temperature constant. The bulk modulus is

(a) 204.8 × 105 Pa

(b) 102.4 × 105 Pa

(c) 5.12 × 105 Pa

(d)1.55 × 105 Pa

Ans: (d)

## 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

(a)2 × 1011N/m2

(b) 2× 10-11N/m2

(c) 3× 1012N/m2

(d) 2× 1013N/m2

Ans: (a)

## A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance l and h…

Q: A wooden block, with a coin placed on its top, floats in water as shown in figure. The distance l and h are show there. After sometime the coin falls into the water. Then

(a) l decrease and h increase
(b) l increase and h decrease
(c) both l and h increase
(d)both l and h decrease

Ans: (d)