A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards right. Pressure is

     

(i) maximum at, and (ii) minimum at

1. (i) B (ii) D

2. (i) C (ii) D

3. (i) B (ii) C

4. (i) B (ii) A

A tank is filled to a height H. The range of water coming out of a hole which is a depth H/4 from the surface of water level is

1. $\frac{2H}{\sqrt{3}}$

2. $\frac{\sqrt{3}\mathrm{H}}{2}$

3. $\sqrt{3}H$

4. $\frac{3H}{4}$

The material of a wire has density of 1.4 gm/$c{m}^3$.   If it is not wetted by a liquid of surface tension 44 dyne/cm then the maximum radius of the wire which can float on the surface of liquid is

1. $\frac{1}{7}cm$

2. $\frac{5}{7}cm$

3. $\frac{5}{14}cm$

4. $\frac{2}{7}cm$

Sudden fail of atmospheric pressure by a large amount indicates

(1) storm

(2) rain

(3) fair weather.

(4) cold wave.

Two equal drops of water are falling through air with a steady velocity v. If the drops coalesce, the new velocity will be

(1) 2v

(2) $\sqrt{2}$v

(3) 2^2/3v

(4) $\frac{v}{\sqrt{2}}$

A body of density d₁ is counter poised by Mg of weights of density d₂ in air of density d. Then the true mass of the body is

(1) M

(2) $\mathrm{M}\left(1-\frac{\mathrm{d}}{{\mathrm{d}}_2}\right)$

(3) $M\left(1-\frac{d}{d_1}\right)$

(4) $\frac{M\left(1-\frac{d}{d_2}\right)}{\left(1-\frac{d}{d_1}\right)}$

A tank filled with water has two taps to exhaust and pour. A hollow spherical ball is half submerged in water. Through one tap, water is taken out and through another tap, a liquid of density double the density of water is poured in tank such that volume of liquid in tank remains constant. Sphere will

1. go down

2. go up

3. maintain same height

4. sink to bottom

Water is flowing continuously from a tap having an internal diameter 8 x 10^-3 m. The water velocity as it leaves the tap is 0.4 ms^-1. The diameter of the water stream at a distance 2 x 10^-1 m below the tap is close to

1. 5.0 x 10^-3 m

2. 7.5 x 10^-3 m

3. 9.6 x 10^-3 m

4. 3.6 x 10^-3 m

Two metal spheres are falling through a liquid of density $2\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$ with the same uniform speed. The material density of sphere 1 and sphere 2 are $8\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$ and $11\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$ respectively. The ratio of their radii is

1. $\frac{11}{8}$

2. $\sqrt{\frac{11}{8}}$

3. $\frac{3}{2}$

4. $\sqrt{\frac{3}{2}}$

A long cylindrical glass vessel has a small hole of radius r at its bottom. The depth to which the vessel can be lowered vertically in a deep water bath without any water entering inside is (surface tension = T and d = density of water)

1. $\frac{4\mathrm{T}}{\text{ rdg }}$

2. $\frac{5\mathrm{T}}{\text{ rdg }}$

3. $\frac{3\mathrm{T}}{\text{ rdg }}$

4. $\frac{2\mathrm{T}}{\text{ rdg }}$