Question:
A juggler keeps on moving four balls in air throwing the balls after regular intervals. When one ball leaves his hand (speed = \(20\text{ ms}^{-1}\)), the position of other balls (height in metre) will be (take \(g = 10\text{ ms}^{-2}\))
A juggler keeps on moving four balls in air throwing the balls after regular intervals. When one ball leaves his hand (speed = \(20\text{ ms}^{-1}\)), the position of other balls (height in metre) will be (take \(g = 10\text{ ms}^{-2}\))
Show Hint
The juggler's hand is at height 0 when ball leaves; heights are measured from hand level.
Updated On: Apr 20, 2026
- 10, 20, 10
- 15, 20, 15
- 5, 15, 20
- 5, 10, 20
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Time of flight for one ball: \(T = \frac{2u}{g} = \frac{2\times20}{10} = 4 \text{ s}\). Balls are thrown at regular intervals of 1 second.
Step 2: Detailed Explanation:
At \(t=0\), one ball is thrown; previous balls have been in air for 1 s, 2 s, and 3 s. Height formula: \(h = ut - \frac{1}{2}gt^2\). For \(t=1\): \(h = 20\times1 - 5\times1 = 15 \text{ m}\). For \(t=2\): \(h = 40 - 20 = 20 \text{ m}\). For \(t=3\): \(h = 60 - 45 = 15 \text{ m}\). Heights are: 15 m, 20 m, 15 m.
Step 3: Final Answer:
\[ \boxed{15,\; 20,\; 15} \]
Time of flight for one ball: \(T = \frac{2u}{g} = \frac{2\times20}{10} = 4 \text{ s}\). Balls are thrown at regular intervals of 1 second.
Step 2: Detailed Explanation:
At \(t=0\), one ball is thrown; previous balls have been in air for 1 s, 2 s, and 3 s. Height formula: \(h = ut - \frac{1}{2}gt^2\). For \(t=1\): \(h = 20\times1 - 5\times1 = 15 \text{ m}\). For \(t=2\): \(h = 40 - 20 = 20 \text{ m}\). For \(t=3\): \(h = 60 - 45 = 15 \text{ m}\). Heights are: 15 m, 20 m, 15 m.
Step 3: Final Answer:
\[ \boxed{15,\; 20,\; 15} \]
Was this answer helpful?
0
0
Top MET Physics Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- A rope of mass $0.1\, kg$ is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At [he contact point between the rope and the wall, the rope makes an angle $ \theta =10^{\circ} $ with respect to horizontal. The tension in the rope at its midpoint between the walls is
- At great distances from an electric dipole, the electric field strength due to the dipole varies with the distance as
View More Questions
Top MET Motion in a straight line Questions
- From Kepler's third law, the square of the period of revolution ($T$) is proportional to the cube of the semi-major axis ($R$). If a planet has $T_{p = 27T_{e}$, then:
- If the length of a simple pendulum is increased by 44%, the percentage increase in its time period is:
- The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become:
- The one which decreases with dilution is
- The rms velocity of molecules of a gas of density $4~\text{kg m}^{-3}$ and pressure $1.2 \times 10^{5}~\text{N m}^{-2}$ is
View More Questions
Top MET Questions
- A coil of 100 turns and area $2 \times 10^{-2}m^2 $ is pivoted about a vertical diameter in a uniform magnetic field and carries a current of 5A. When the coil is held with its plane in north-south direction, it experiences a couple of 0.33 Nm. When the plane is east-west, the corresponding couple is 0.4 Nm, the value of magnetic induction is [Neglect earth's magnetic field]
- $\int\limits_{0}^{8}| x -5| d x$ is equal to
- Radiation, with wavelength 6561 $?$ falls on a metal surface to produce photoelectrons. The electrons are made to enter a uniform magnetic field of $3 \times 10^{-4} T$. If the radius of the largest circular path followed by the electrons is 10 mm, the work function of the metal is close to :
- In intrinsic semiconductor at room temperature number of electrons and holes are
- Which of the following product is formed in the reaction $ CH_3MgBr {->[(i)CO_2][(ii)H_2O]} ? $
View More Questions