Daily Practice Problems Mechanical Properties of Fluids

Question 1:

A submarine is diving into the ocean. At the surface, the atmospheric pressure is 1.013 × 10⁵ Pa. For every 10 meters of depth, the pressure increases by 1 atmosphere. Calculate the pressure at a depth of 50 meters. [Level: Difficult]

(a) 6.065 x 10⁵Pa

(b) 9 x 10⁵Pa

(d) 4.5 x 10⁵Pa

Question 2:

In a swimming pool, the pressure at the surface of the water is 1.0 × 10^5 Pa. The pool is 3 meters deep. Calculate the pressure at the bottom of the pool. [Level: Moderate]

(a) 1.0294 × 10⁵ Pa

(b) 2.44 × 10⁶ Pa

(d) 3.04 × 10⁵ Pa

Question 3:

A deep-sea diving bell is submerged to a depth of 1000 meters in the ocean. The atmospheric pressure at the surface is 1.013 × 10⁵ Pa. Calculate the pressure inside the diving bell at this depth. [Level: Difficult]

(a) 5.701 × 10⁴ Pa

(b) 6.901 × 10⁵ Pa

(d) 9.901 × 10⁶ Pa

Question 4:

A hydraulic lift has a small piston with a radius of 5 cm and a large piston with a radius of 20 cm. If a force of 500 N is applied to the small piston, calculate the force exerted by the large piston. [Level: Difficult]

(a) 4400 N

(b) 9000 N

(d) 4000 N

Question 5:

A hydraulic press has a small piston with a radius of 2 cm and a large piston with a radius of 40 cm. If a force of 2000 N is applied to the small piston, calculate the force exerted by the large piston. [Level: Moderate]

(a) 2,000,000 N

(b) 9,000,000 N

(d) 2,880,000 N

Question 6:

The atmospheric pressure at sea level is approximately 101.3 kPa. Calculate the pressure exerted by the atmosphere at an altitude of 5000 meters.

[Level: Moderate]

(a) 99 kPa

(b) 54.82 kPa

(d) 79 kPa

Question 7:

The atmospheric pressure at a certain location is 97.5 kPa. If the pressure decreases by 1.5 kPa every 100 meters of ascent, calculate the atmospheric pressure at an altitude of 800 meters. [Level: Moderate]

(a) 99 kPa

(b) 100 kPa

(d) 79 kPa

Question 8:

The atmospheric pressure at a certain location is 88 kPa. If the pressure increases by 2.2 kPa every 100 meters of descent, calculate the atmospheric pressure at a depth of 500 meters below sea level. [Level: Moderate]

(a) 99 kPa

(b) 100 kPa

(d) 79 kPa

Question 9:

A wire frame in the shape of a square with sides of length 0.1 m is dipped into a soap solution. The wire frame supports a film of soap solution, forming a square shape with sides of length 0.05 m. If the surface tension of the soap solution is 0.03 N/m, what is the force exerted by the film of soap solution?

[Level: Moderate]

(a) 3.003 N

(b) 0.003 N

(d) 0.009 N

Question 10:

A glass capillary tube of radius 0.01 mm is immersed vertically in a liquid. The liquid rises in the capillary tube to a height of 2 cm. If the surface tension of the liquid is 0.06 N/m, what is the contact angle between the liquid and the capillary tube? [Level: Moderate]

(a) 89°

(b) 90.59°

(d) 92.59°

Question 11:

A circular loop of wire with a radius of 0.1 m is dipped into a liquid, and the liquid rises in the loop to a height of 0.05 m. If the surface tension of the liquid is 0.04 N/m, what is the force exerted by the liquid on the wire loop?

[Level: Easy]

(a) 2.2134 N

(b) 1.0512 N

(d) 0.0251 N

Question 12:

A soap bubble with a radius of 2 cm is formed in a liquid of surface tension 0.05 N/m. What is the excess pressure inside the bubble? [Level: Easy]

(a) 10 N/m²

(b) 20 N/m²

(d) 30 N/m²

Question 13:

A gas bubble with a radius of 1 mm rises from the bottom of a water tank to the surface. The atmospheric pressure is 101325 Pa and the density of water is 1000 kg/m³. What is the excess pressure inside the gas bubble at the bottom of the tank? [Level: Moderate]

(a) 8700 Pa

(b) 9800 Pa

(d) 9000 Pa

Question 14:

A liquid drop with a radius of 0.5 mm is suspended in air. The surface tension of the liquid is 0.08 N/m. What is the excess pressure inside the liquid drop?

[Level: Easy]

(a) 320 N/m²

(b) 330 N/m²

(d) 720 N/m²

Question 15:

Water flows through a horizontal pipe with a diameter of 10 cm. The pressure at one end of the pipe is 2 × 10^5 Pa and the velocity of water at that point is 4 m/s. At a certain point in the pipe, the diameter reduces to 5 cm and the velocity of water becomes 8 m/s. Calculate the pressure at this point. [Level: Moderate]

(a) 0.76x 10⁵Pa

(b) 3.68x 10⁵Pa

(d) 1.76x 10⁵Pa

Question 16:

Air flows through a Venturi tube, which has a constriction such that the diameter decreases from 20 cm to 10 cm. The pressure at the wider end is 1 × 10^5 Pa and the velocity is 5 m/s. Calculate the velocity of air at the narrowest section of the Venturi tube. [Level: Moderate]

(a) 20 m/s

(b) 7.5 m/s

(d) 10 m/s

Question 17:

Water flows through a horizontal pipe with a diameter of 5 cm. The pressure at one end of the pipe is 2 × 10^5 Pa and the velocity of water at that point is 8 m/s. At another point along the pipe, the velocity of water becomes 4 m/s. Calculate the pressure at this point. [Level: Moderate]

(a) 2.24 × 10⁵Pa

(a) 12.24 × 10⁵Pa

(a) 3.24 × 10⁵Pa

(a) 7.24 × 10⁵Pa

Question 18:

A glass capillary tube of radius 0.1 mm is immersed vertically in water. The capillary rise is observed to be 2 cm. Calculate the surface tension of water(in N/m). [Level: Moderate]

(a) 0.98 × 10^-3

(b) 0.46 × 10^-3

(d) 9.8 × 10^-3

Question 19:

A spherical particle of radius 0.1 cm and density 2 g/cm³ falls freely in a medium of viscosity 0.5 Pa·s. Calculate the terminal velocity of the particle.

[Level: Moderate]

(a) 0.002 m/s

(b) 3.02 m/s

(d) 0.15 m/s

Question 20:

Air flows through a pipe of radius 0.2 m with a velocity of 20 m/s. The kinematic viscosity of air is 1.5 × 10^(-5) m²/s. Determine the Reynolds number for the flow. [Level: Moderate]

(a) 3.2 × 10⁶

(b) 5.2 × 10⁶

(d) 1.2 × 10⁶

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All About Daily Practice Problems on NEET Physics Mechanical Properties of Fluids NCERT Chapter 10

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on NEET Physics Mechanical Properties of Fluids NCERT Chapter 10 useful.

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