Q23.The water is filled up to a height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth h below the water level. The value of h for which the emerging stream of water strikes the ground at the maximum range is _____ m .
What This Question Tests
The question requires applying Torricelli's law to find efflux velocity from a hole and then using projectile motion equations to find the maximum horizontal range by optimizing the depth of the hole.
Concepts Tested
Formulas Used
v = √(2gh)
Range R = v × t
t = √(2(H-h)/g)
📚 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.)
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Properties of Matter
- Topic
- Fluid Dynamics
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q23
- Type
- Numerical
- NCERT Ref
- Class 11 Physics Ch 10: Properties of Matter
More from this Chapter
Q24.A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms−1 ) through a small hole on the side wall of the cylinder near its bottom is (1) 10 (2) 20 (3) 25.5 (4) 5
Q26.A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is (1) 0.2 J (2) 10 J (3) 20 J (4) 0.1 J
Q17.A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is (1) F/2 (2) Fℓ (3) 2 Fℓ (4) Fℓ/2
Q24.Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is JEE Main 2004 JEE Main Previous Year Paper (1) directly proportional to R but inversely (2) directly proportional to both radius R and proportional to v. velocity v. (3) inversely proportional to both radius R and (4) inversely proportional to R but directly velocity v. proportional to velocity v.