Q9. Water flows into a large tank with flat bottom at the rate of 10−4 m3s−1. Water is also leaking out of a hole of area 1 cm2 at its bottom. If the height of the water in the tank remains steady then this height is: (1) 5.1 cm (2) 1.7 cm (3) 2.9 cm (4) 4 cm
What This Question Tests
This problem combines the principle of continuity with Torricelli's law to determine the steady height of water in a tank where there is both inflow and outflow.
Concepts Tested
Formulas Used
A_in V_in = A_out V_out
V_efflux = √(2gh)
📚 NCERT Sections This Tests
9.3 — A Tank Is Filled With Water To A Height Of 12.5 Cm. The Apparent
Physics Class 12 · Chapter 9
9.3 A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?
9.5 — A Small Bulb Is Placed At The Bottom Of A Tank Containing Water To A
Physics Class 12 · Chapter 9
9.5 A small bulb is placed at the bottom of a tank containing water to a depth of 80cm. What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)
9.16 — The Pin Appears Raised By 5.0 Cm. It Can Be Seen With An Explicit Ray
Physics Class 12 · Chapter 9
9.16 The pin appears raised by 5.0 cm. It can be seen with an explicit ray diagram that the answer is independent of the location of the slab (for small angles of incidence).
📋 Question Details
- Chapter
- Properties of Matter
- Topic
- Fluid dynamics (Torricelli's Law and continuity)
- Year
- 2019
- Shift
- 10 Jan Shift 1
- Q Number
- Q9
- Type
- MCQ
- NCERT Ref
- Class 11 Physics Ch 10: Mechanical Properties of Fluids
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