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Lesson 2 – Manometer, Barometer, Pascal Principle and Hydraulic Press — Picture questions (exam style)

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1.
A U-tube holds two immiscible liquids of densities 1260 and 1000 kg m−3; liquid 2 stands 4 cm above the interface (figure). Which option is correct?
A U-tube holds two immiscible liquids of densities 1260 and 1000 kg m⁻³; liquid 2 stands 4 cm above the interface (figure). Which option is correct?
height of liquid 1 = 6.35 cm, level difference = 7.17 cm
height of liquid 1 = 6.35 cm, level difference = 0.825 cm
height of liquid 1 = 6.35 cm, level difference = 1.65 cm
height of liquid 1 = 3.17 cm, level difference = 0.825 cm
2.
Hydraulic press: small piston 5 cm2, large 100 cm2; a force 100 N moves the small piston 20 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 100 cm²; a force 100 N moves the small piston 20 cm. Which option is correct?
F₂ = 2000 N, large piston moves 1 cm, mechanical advantage = 40
F₂ = 2000 N, large piston moves 1 cm, mechanical advantage = 20
F₂ = 2000 N, large piston moves 10 cm, mechanical advantage = 20
F₂ = 1000 N, large piston moves 10 cm, mechanical advantage = 10
3.
A body of density 600 kg m−3 and volume 200 cm3 floats in a liquid of density 800 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 600 kg m⁻³ and volume 200 cm³ floats in a liquid of density 800 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 40%, upthrust = 2.35 N
fraction submerged = 75%, upthrust = 1.57 N
fraction submerged = 75%, upthrust = 2.35 N
fraction submerged = 75%, upthrust = 1.18 N
4.
A water manometer is connected to a gas tank; atmospheric pressure 75 cmHg; level difference 5 cm (open limb lower). Which option is correct? (ρHg = 13600, g = 9.8)
A water manometer is connected to a gas tank; atmospheric pressure 75 cmHg; level difference 5 cm (open limb lower). Which option is correct? (ρHg = 13600, g = 9.8)
gas pressure = 74.63 cmHg, gas pressure ≈ 6664 Pa
gas pressure = -5 cmHg, gas pressure ≈ 9.996e+04 Pa
gas pressure = -5 cmHg, gas pressure ≈ 9.947e+04 Pa
gas pressure = 74.63 cmHg, gas pressure ≈ 9.947e+04 Pa
5.
What is the total pressure on a diver 1 m deep in sea water (ρ = 1030 kg m−3, g = 9.8, atmospheric 101 000 Pa)?
What is the total pressure on a diver 1 m deep in sea water (ρ = 1030 kg m⁻³, g = 9.8, atmospheric 101 000 Pa)?
11300 Pa
10100 Pa
1.11×105 Pa
1030 Pa
6.
A U-tube holds two immiscible liquids of densities 13600 and 800 kg m−3; liquid 2 stands 17 cm above the interface (figure). Which option is correct?
A U-tube holds two immiscible liquids of densities 13600 and 800 kg m⁻³; liquid 2 stands 17 cm above the interface (figure). Which option is correct?
height of liquid 1 = 1 cm, level difference = 17 cm
height of liquid 1 = 2 cm, level difference = 18 cm
height of liquid 1 = 1 cm, level difference = 16 cm
height of liquid 1 = 289 cm, level difference = 17 cm
7.
Hydraulic press: small piston 5 cm2, large 1000 cm2; a force 20 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 1000 cm²; a force 20 N moves the small piston 10 cm. Which option is correct?
F₂ = 4000 N, large piston moves 10 cm, mechanical advantage = 400
F₂ = 0.1 N, large piston moves 2e+03 cm, mechanical advantage = 400
F₂ = 4000 N, large piston moves 0.05 cm, mechanical advantage = 200
F₂ = 282.843 N, large piston moves 2e+03 cm, mechanical advantage = 200
8.
A body of density 600 kg m−3 and volume 100 cm3 floats in a liquid of density 1030 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 600 kg m⁻³ and volume 100 cm³ floats in a liquid of density 1030 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 51.5%, upthrust = 1.18 N
fraction submerged = 51.5%, upthrust = 0.588 N
fraction submerged = 58.3%, upthrust = 0.588 N
fraction submerged = 41.7%, upthrust = 0.588 N
9.
Hydraulic press: small piston 20 cm2, large 100 cm2; a force 20 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 100 cm²; a force 20 N moves the small piston 40 cm. Which option is correct?
F₂ = 50 N, large piston moves 200 cm, mechanical advantage = 0.2
F₂ = 4 N, large piston moves 8 cm, mechanical advantage = 5
F₂ = 100 N, large piston moves 8 cm, mechanical advantage = 10
F₂ = 100 N, large piston moves 8 cm, mechanical advantage = 5
10.
Hydraulic press: small piston 2 cm2, large 1000 cm2; a force 100 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 2 cm², large 1000 cm²; a force 100 N moves the small piston 50 cm. Which option is correct?
F₂ = 2236.07 N, large piston moves 50 cm, mechanical advantage = 250
F₂ = 50000 N, large piston moves 0.1 cm, mechanical advantage = 500
F₂ = 2236.07 N, large piston moves 50 cm, mechanical advantage = 0.002
F₂ = 50000 N, large piston moves 0.1 cm, mechanical advantage = 0.002
11.
Hydraulic press: small piston 5 cm2, large 200 cm2; a force 50 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 200 cm²; a force 50 N moves the small piston 50 cm. Which option is correct?
F₂ = 1000 N, large piston moves 12.5 cm, mechanical advantage = 20
F₂ = 316.228 N, large piston moves 1.25 cm, mechanical advantage = 40
F₂ = 2000 N, large piston moves 1.25 cm, mechanical advantage = 40
F₂ = 316.228 N, large piston moves 2e+03 cm, mechanical advantage = 0.025
12.
A body of density 900 kg m−3 and volume 1000 cm3 floats in a liquid of density 1000 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 900 kg m⁻³ and volume 1000 cm³ floats in a liquid of density 1000 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 50%, upthrust = 9.8 N
fraction submerged = 10%, upthrust = 17.6 N
fraction submerged = 45%, upthrust = 0.9 N
fraction submerged = 90%, upthrust = 8.82 N
13.
Hydraulic press: small piston 5 cm2, large 500 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 500 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 10000 N, large piston moves 0.1 cm, mechanical advantage = 50
F₂ = 10000 N, large piston moves 0.1 cm, mechanical advantage = 0.01
F₂ = 10000 N, large piston moves 0.1 cm, mechanical advantage = 100
F₂ = 1 N, large piston moves 1e+03 cm, mechanical advantage = 0.01
14.
Hydraulic press: small piston 5 cm2, large 1000 cm2; a force 100 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 1000 cm²; a force 100 N moves the small piston 40 cm. Which option is correct?
F₂ = 20000 N, large piston moves 0.2 cm, mechanical advantage = 200
F₂ = 10000 N, large piston moves 0.2 cm, mechanical advantage = 200
F₂ = 20000 N, large piston moves 0.2 cm, mechanical advantage = 0.005
F₂ = 20000 N, large piston moves 2 cm, mechanical advantage = 0.005
15.
A U-tube holds two immiscible liquids of densities 800 and 1000 kg m−3; liquid 2 stands 8 cm above the interface (figure). Which option is correct?
A U-tube holds two immiscible liquids of densities 800 and 1000 kg m⁻³; liquid 2 stands 8 cm above the interface (figure). Which option is correct?
height of liquid 1 = 6.4 cm, level difference = 8 cm
height of liquid 1 = 8 cm, level difference = 2 cm
height of liquid 1 = 10 cm, level difference = 2 cm
height of liquid 1 = 8 cm, level difference = 18 cm
16.
Hydraulic press: small piston 2 cm2, large 500 cm2; a force 20 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 2 cm², large 500 cm²; a force 20 N moves the small piston 10 cm. Which option is correct?
F₂ = 316.228 N, large piston moves 0.04 cm, mechanical advantage = 500
F₂ = 5000 N, large piston moves 0.04 cm, mechanical advantage = 250
F₂ = 5000 N, large piston moves 0.04 cm, mechanical advantage = 125
F₂ = 5000 N, large piston moves 0.4 cm, mechanical advantage = 250
17.
Hydraulic press: small piston 5 cm2, large 500 cm2; a force 20 N moves the small piston 20 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 500 cm²; a force 20 N moves the small piston 20 cm. Which option is correct?
F₂ = 2000 N, large piston moves 0.2 cm, mechanical advantage = 100
F₂ = 0.2 N, large piston moves 0.2 cm, mechanical advantage = 200
F₂ = 2000 N, large piston moves 2e+03 cm, mechanical advantage = 100
F₂ = 2000 N, large piston moves 20 cm, mechanical advantage = 0.01
18.
Hydraulic press: small piston 20 cm2, large 500 cm2; a force 50 N moves the small piston 20 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 500 cm²; a force 50 N moves the small piston 20 cm. Which option is correct?
F₂ = 1250 N, large piston moves 500 cm, mechanical advantage = 25
F₂ = 2 N, large piston moves 20 cm, mechanical advantage = 25
F₂ = 1250 N, large piston moves 0.8 cm, mechanical advantage = 0.04
F₂ = 1250 N, large piston moves 0.8 cm, mechanical advantage = 25
19.
Hydraulic press: small piston 20 cm2, large 200 cm2; a force 50 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 200 cm²; a force 50 N moves the small piston 50 cm. Which option is correct?
F₂ = 500 N, large piston moves 5 cm, mechanical advantage = 10
F₂ = 500 N, large piston moves 5 cm, mechanical advantage = 5
F₂ = 250 N, large piston moves 5 cm, mechanical advantage = 0.1
F₂ = 250 N, large piston moves 500 cm, mechanical advantage = 10
20.
A mercury manometer is connected to a gas tank; atmospheric pressure 76 cmHg; level difference 30 cm (open limb higher). Which option is correct? (ρHg = 13600, g = 9.8)
A mercury manometer is connected to a gas tank; atmospheric pressure 76 cmHg; level difference 30 cm (open limb higher). Which option is correct? (ρHg = 13600, g = 9.8)
gas pressure = 46 cmHg, gas pressure ≈ 1.013e+05 Pa
gas pressure = 106 cmHg, gas pressure ≈ 1.413e+05 Pa
gas pressure = 30 cmHg, gas pressure ≈ 3.998e+04 Pa
gas pressure = 46 cmHg, gas pressure ≈ 1.413e+05 Pa
21.
Hydraulic press: small piston 5 cm2, large 100 cm2; a force 20 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 100 cm²; a force 20 N moves the small piston 10 cm. Which option is correct?
F₂ = 400 N, large piston moves 0.5 cm, mechanical advantage = 20
F₂ = 400 N, large piston moves 0.5 cm, mechanical advantage = 40
F₂ = 200 N, large piston moves 200 cm, mechanical advantage = 20
F₂ = 200 N, large piston moves 0.5 cm, mechanical advantage = 40
22.
Hydraulic press: small piston 10 cm2, large 200 cm2; a force 20 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 200 cm²; a force 20 N moves the small piston 50 cm. Which option is correct?
F₂ = 400 N, large piston moves 2.5 cm, mechanical advantage = 20
F₂ = 400 N, large piston moves 2.5 cm, mechanical advantage = 10
F₂ = 89.4427 N, large piston moves 2.5 cm, mechanical advantage = 10
F₂ = 1 N, large piston moves 50 cm, mechanical advantage = 0.05
23.
Hydraulic press: small piston 20 cm2, large 500 cm2; a force 10 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 500 cm²; a force 10 N moves the small piston 50 cm. Which option is correct?
F₂ = 50 N, large piston moves 1.25e+03 cm, mechanical advantage = 50
F₂ = 125 N, large piston moves 1.25e+03 cm, mechanical advantage = 12.5
F₂ = 250 N, large piston moves 2 cm, mechanical advantage = 25
F₂ = 0.4 N, large piston moves 50 cm, mechanical advantage = 0.04
24.
Hydraulic press: small piston 10 cm2, large 500 cm2; a force 10 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 500 cm²; a force 10 N moves the small piston 40 cm. Which option is correct?
F₂ = 0.2 N, large piston moves 8 cm, mechanical advantage = 25
F₂ = 500 N, large piston moves 8 cm, mechanical advantage = 0.02
F₂ = 70.7107 N, large piston moves 8 cm, mechanical advantage = 50
F₂ = 500 N, large piston moves 0.8 cm, mechanical advantage = 50
25.
Hydraulic press: small piston 20 cm2, large 1000 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 1000 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 707.107 N, large piston moves 10 cm, mechanical advantage = 50
F₂ = 5000 N, large piston moves 0.2 cm, mechanical advantage = 50
F₂ = 2500 N, large piston moves 0.2 cm, mechanical advantage = 100
F₂ = 707.107 N, large piston moves 10 cm, mechanical advantage = 0.02
26.
Hydraulic press: small piston 10 cm2, large 1000 cm2; a force 100 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 1000 cm²; a force 100 N moves the small piston 50 cm. Which option is correct?
F₂ = 10000 N, large piston moves 0.5 cm, mechanical advantage = 0.01
F₂ = 5000 N, large piston moves 5 cm, mechanical advantage = 0.01
F₂ = 1000 N, large piston moves 0.5 cm, mechanical advantage = 100
F₂ = 10000 N, large piston moves 0.5 cm, mechanical advantage = 100
27.
Hydraulic press: small piston 10 cm2, large 100 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 100 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 500 N, large piston moves 1 cm, mechanical advantage = 20
F₂ = 1000 N, large piston moves 1 cm, mechanical advantage = 10
F₂ = 316.228 N, large piston moves 1 cm, mechanical advantage = 10
F₂ = 10 N, large piston moves 10 cm, mechanical advantage = 5
28.
Hydraulic press: small piston 20 cm2, large 1000 cm2; a force 50 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 1000 cm²; a force 50 N moves the small piston 40 cm. Which option is correct?
F₂ = 2500 N, large piston moves 8 cm, mechanical advantage = 50
F₂ = 2500 N, large piston moves 0.8 cm, mechanical advantage = 50
F₂ = 1250 N, large piston moves 40 cm, mechanical advantage = 0.02
F₂ = 1 N, large piston moves 0.8 cm, mechanical advantage = 25
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