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Lesson 1 – Density, Liquid Pressure and Pascal Principle — 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 = 3.17 cm, level difference = 7.17 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
height of liquid 1 = 3.17 cm, level difference = 4 cm
2.
Hydraulic press: small piston 10 cm2, large 200 cm2; a force 10 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 200 cm²; a force 10 N moves the small piston 10 cm. Which option is correct?
F₂ = 200 N, large piston moves 10 cm, mechanical advantage = 0.05
F₂ = 200 N, large piston moves 0.5 cm, mechanical advantage = 20
F₂ = 100 N, large piston moves 5 cm, mechanical advantage = 20
F₂ = 200 N, large piston moves 0.5 cm, mechanical advantage = 10
3.
A body of density 600 kg m−3 and volume 500 cm3 floats in a liquid of density 1000 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 600 kg m⁻³ and volume 500 cm³ floats in a liquid of density 1000 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 30%, upthrust = 4.9 N
fraction submerged = 60%, upthrust = 4.9 N
fraction submerged = 40%, upthrust = 4.9 N
fraction submerged = 60%, upthrust = 2.94 N
4.
A mercury manometer is connected to a gas tank; atmospheric pressure 74 cmHg; level difference 10 cm (open limb higher). Which option is correct? (ρHg = 13600, g = 9.8)
A mercury manometer is connected to a gas tank; atmospheric pressure 74 cmHg; level difference 10 cm (open limb higher). Which option is correct? (ρHg = 13600, g = 9.8)
gas pressure = 10 cmHg, gas pressure ≈ 1.12e+05 Pa
gas pressure = 84 cmHg, gas pressure ≈ 1.12e+05 Pa
gas pressure = 94 cmHg, gas pressure ≈ 1.333e+04 Pa
gas pressure = 84 cmHg, gas pressure ≈ 1.232e+05 Pa
5.
What is the water pressure on a diver 100 m deep in sea water (ρ = 1030 kg m−3, g = 9.8)?
What is the water pressure on a diver 100 m deep in sea water (ρ = 1030 kg m⁻³, g = 9.8)?
1.76×106 Pa
1.11×106 Pa
1.03×105 Pa
1.01×106 Pa
6.
A U-tube holds two immiscible liquids of densities 13600 and 1000 kg m−3; liquid 2 stands 13.6 cm above the interface (figure). Which option is correct?
A U-tube holds two immiscible liquids of densities 13600 and 1000 kg m⁻³; liquid 2 stands 13.6 cm above the interface (figure). Which option is correct?
height of liquid 1 = 1 cm, level difference = 25.2 cm
height of liquid 1 = 1 cm, level difference = 12.6 cm
height of liquid 1 = 2 cm, level difference = 13.6 cm
height of liquid 1 = 185 cm, level difference = 12.6 cm
7.
Hydraulic press: small piston 10 cm2, large 1000 cm2; a force 20 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 1000 cm²; a force 20 N moves the small piston 50 cm. Which option is correct?
F₂ = 2000 N, large piston moves 5e+03 cm, mechanical advantage = 100
F₂ = 2000 N, large piston moves 5 cm, mechanical advantage = 100
F₂ = 2000 N, large piston moves 0.5 cm, mechanical advantage = 200
F₂ = 2000 N, large piston moves 0.5 cm, mechanical advantage = 100
8.
A mercury manometer is connected to a gas tank; atmospheric pressure 74 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 74 cmHg; level difference 30 cm (open limb higher). Which option is correct? (ρHg = 13600, g = 9.8)
gas pressure = 104 cmHg, gas pressure ≈ 1.386e+05 Pa
gas pressure = 30 cmHg, gas pressure ≈ 9.863e+04 Pa
gas pressure = 30 cmHg, gas pressure ≈ 1.386e+05 Pa
gas pressure = 104 cmHg, gas pressure ≈ 9.863e+04 Pa
9.
Hydraulic press: small piston 5 cm2, large 500 cm2; a force 10 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 500 cm²; a force 10 N moves the small piston 50 cm. Which option is correct?
F₂ = 100 N, large piston moves 50 cm, mechanical advantage = 200
F₂ = 0.1 N, large piston moves 5 cm, mechanical advantage = 200
F₂ = 1000 N, large piston moves 0.5 cm, mechanical advantage = 100
F₂ = 1000 N, large piston moves 5e+03 cm, mechanical advantage = 100
10.
A body of density 800 kg m−3 and volume 200 cm3 floats in a liquid of density 1000 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 800 kg m⁻³ and volume 200 cm³ floats in a liquid of density 1000 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 80%, upthrust = 1.57 N
fraction submerged = 50%, upthrust = 3.14 N
fraction submerged = 40%, upthrust = 1.57 N
fraction submerged = 80%, upthrust = 0.16 N
11.
Hydraulic press: small piston 2 cm2, large 200 cm2; a force 50 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 2 cm², large 200 cm²; a force 50 N moves the small piston 10 cm. Which option is correct?
F₂ = 0.5 N, large piston moves 0.1 cm, mechanical advantage = 0.01
F₂ = 5000 N, large piston moves 10 cm, mechanical advantage = 100
F₂ = 5000 N, large piston moves 0.1 cm, mechanical advantage = 100
F₂ = 500 N, large piston moves 1 cm, mechanical advantage = 200
12.
Hydraulic press: small piston 10 cm2, large 500 cm2; a force 10 N moves the small piston 20 cm. Which option is correct?
Hydraulic press: small piston 10 cm², large 500 cm²; a force 10 N moves the small piston 20 cm. Which option is correct?
F₂ = 250 N, large piston moves 20 cm, mechanical advantage = 50
F₂ = 500 N, large piston moves 0.4 cm, mechanical advantage = 100
F₂ = 500 N, large piston moves 0.4 cm, mechanical advantage = 50
F₂ = 250 N, large piston moves 4 cm, mechanical advantage = 100
13.
Hydraulic press: small piston 5 cm2, large 100 cm2; a force 10 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 100 cm²; a force 10 N moves the small piston 50 cm. Which option is correct?
F₂ = 200 N, large piston moves 25 cm, mechanical advantage = 40
F₂ = 200 N, large piston moves 2.5 cm, mechanical advantage = 20
F₂ = 200 N, large piston moves 50 cm, mechanical advantage = 40
F₂ = 100 N, large piston moves 50 cm, mechanical advantage = 10
14.
A mercury manometer is connected to a gas tank; atmospheric pressure 74 cmHg; level difference 20 cm (open limb lower). Which option is correct? (ρHg = 13600, g = 9.8)
A mercury manometer is connected to a gas tank; atmospheric pressure 74 cmHg; level difference 20 cm (open limb lower). Which option is correct? (ρHg = 13600, g = 9.8)
gas pressure = -20 cmHg, gas pressure ≈ 9.863e+04 Pa
gas pressure = 34 cmHg, gas pressure ≈ 7.917e+04 Pa
gas pressure = 54 cmHg, gas pressure ≈ 7.197e+04 Pa
gas pressure = 54 cmHg, gas pressure ≈ 7.917e+04 Pa
15.
Hydraulic press: small piston 20 cm2, large 100 cm2; a force 100 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 100 cm²; a force 100 N moves the small piston 40 cm. Which option is correct?
F₂ = 500 N, large piston moves 8 cm, mechanical advantage = 5
F₂ = 250 N, large piston moves 8 cm, mechanical advantage = 2.5
F₂ = 250 N, large piston moves 8 cm, mechanical advantage = 5
F₂ = 20 N, large piston moves 80 cm, mechanical advantage = 10
16.
A body of density 500 kg m−3 and volume 200 cm3 floats in a liquid of density 1260 kg m−3 (figure). Which option is correct? (g = 9.8)
A body of density 500 kg m⁻³ and volume 200 cm³ floats in a liquid of density 1260 kg m⁻³ (figure). Which option is correct? (g = 9.8)
fraction submerged = 39.7%, upthrust = 0.98 N
fraction submerged = 63%, upthrust = 0.98 N
fraction submerged = 60.3%, upthrust = 0.98 N
fraction submerged = 19.8%, upthrust = 0.1 N
17.
Hydraulic press: small piston 20 cm2, large 500 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 500 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 4 N, large piston moves 0.4 cm, mechanical advantage = 0.04
F₂ = 500 N, large piston moves 0.4 cm, mechanical advantage = 25
F₂ = 2500 N, large piston moves 0.4 cm, mechanical advantage = 25
F₂ = 2500 N, large piston moves 0.4 cm, mechanical advantage = 12.5
18.
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 = 90%, upthrust = 8.82 N
fraction submerged = 50%, upthrust = 8.82 N
fraction submerged = 45%, upthrust = 0.9 N
fraction submerged = 10%, upthrust = 8.82 N
19.
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 = 10 cm, level difference = 2 cm
height of liquid 1 = 8 cm, level difference = 2 cm
height of liquid 1 = 20 cm, level difference = 18 cm
height of liquid 1 = 6.4 cm, level difference = 18 cm
20.
Hydraulic press: small piston 2 cm2, large 100 cm2; a force 20 N moves the small piston 40 cm. Which option is correct?
Hydraulic press: small piston 2 cm², large 100 cm²; a force 20 N moves the small piston 40 cm. Which option is correct?
F₂ = 1000 N, large piston moves 2e+03 cm, mechanical advantage = 50
F₂ = 0.4 N, large piston moves 2e+03 cm, mechanical advantage = 0.02
F₂ = 500 N, large piston moves 40 cm, mechanical advantage = 50
F₂ = 1000 N, large piston moves 0.8 cm, mechanical advantage = 50
21.
Hydraulic press: small piston 20 cm2, large 1000 cm2; a force 10 N moves the small piston 20 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 1000 cm²; a force 10 N moves the small piston 20 cm. Which option is correct?
F₂ = 250 N, large piston moves 4 cm, mechanical advantage = 100
F₂ = 70.7107 N, large piston moves 0.4 cm, mechanical advantage = 50
F₂ = 250 N, large piston moves 4 cm, mechanical advantage = 0.02
F₂ = 500 N, large piston moves 0.4 cm, mechanical advantage = 50
22.
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 = 200 N, large piston moves 2 cm, mechanical advantage = 100
F₂ = 200 N, large piston moves 0.2 cm, mechanical advantage = 200
F₂ = 1000 N, large piston moves 0.2 cm, mechanical advantage = 200
23.
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 = 316.228 N, large piston moves 1 cm, mechanical advantage = 0.1
F₂ = 1000 N, large piston moves 1 cm, mechanical advantage = 10
F₂ = 316.228 N, large piston moves 10 cm, mechanical advantage = 20
F₂ = 1000 N, large piston moves 100 cm, mechanical advantage = 20
24.
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 = 25000 N, large piston moves 2.5e+04 cm, mechanical advantage = 500
F₂ = 50000 N, large piston moves 0.1 cm, mechanical advantage = 500
F₂ = 25000 N, large piston moves 1 cm, mechanical advantage = 500
F₂ = 50000 N, large piston moves 50 cm, mechanical advantage = 500
25.
Hydraulic press: small piston 5 cm2, large 1000 cm2; a force 10 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 5 cm², large 1000 cm²; a force 10 N moves the small piston 50 cm. Which option is correct?
F₂ = 2000 N, large piston moves 50 cm, mechanical advantage = 400
F₂ = 2000 N, large piston moves 0.25 cm, mechanical advantage = 200
F₂ = 141.421 N, large piston moves 0.25 cm, mechanical advantage = 0.005
F₂ = 2000 N, large piston moves 0.25 cm, mechanical advantage = 0.005
26.
Hydraulic press: small piston 20 cm2, large 500 cm2; a force 10 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 500 cm²; a force 10 N moves the small piston 10 cm. Which option is correct?
F₂ = 125 N, large piston moves 4 cm, mechanical advantage = 25
F₂ = 250 N, large piston moves 0.4 cm, mechanical advantage = 25
F₂ = 125 N, large piston moves 250 cm, mechanical advantage = 50
F₂ = 125 N, large piston moves 0.4 cm, mechanical advantage = 12.5
27.
Hydraulic press: small piston 20 cm2, large 1000 cm2; a force 50 N moves the small piston 50 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 1000 cm²; a force 50 N moves the small piston 50 cm. Which option is correct?
F₂ = 1 N, large piston moves 2.5e+03 cm, mechanical advantage = 25
F₂ = 2500 N, large piston moves 1 cm, mechanical advantage = 50
F₂ = 1250 N, large piston moves 1 cm, mechanical advantage = 0.02
F₂ = 1 N, large piston moves 10 cm, mechanical advantage = 100
28.
Hydraulic press: small piston 20 cm2, large 200 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 20 cm², large 200 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 500 N, large piston moves 10 cm, mechanical advantage = 0.1
F₂ = 1000 N, large piston moves 10 cm, mechanical advantage = 5
F₂ = 1000 N, large piston moves 1 cm, mechanical advantage = 10
F₂ = 1000 N, large piston moves 100 cm, mechanical advantage = 5
29.
Hydraulic press: small piston 2 cm2, large 500 cm2; a force 100 N moves the small piston 10 cm. Which option is correct?
Hydraulic press: small piston 2 cm², large 500 cm²; a force 100 N moves the small piston 10 cm. Which option is correct?
F₂ = 1581.14 N, large piston moves 0.4 cm, mechanical advantage = 125
F₂ = 1581.14 N, large piston moves 2.5e+03 cm, mechanical advantage = 0.004
F₂ = 25000 N, large piston moves 0.04 cm, mechanical advantage = 250
F₂ = 12500 N, large piston moves 0.04 cm, mechanical advantage = 250
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