Question:
The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min. Then the velocity of river stream is
The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min. Then the velocity of river stream is
Updated On: Feb 3, 2025
- 3 km / hr
- 4 km / hr
- $ \sqrt 29$ km / hr
- $ \sqrt 41$ km / hr
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
\(v_{ Resultant } = \frac{1 \, km}{ 1 / 4 \, hr } = 4 \, km /hr\)
\(\therefore v_{ River} = \sqrt{ 5^2 - 4^2 } = 3\) km /hr.
So, the correct answer is (A): 3 km / hr.
\(\therefore v_{ River} = \sqrt{ 5^2 - 4^2 } = 3\) km /hr.
So, the correct answer is (A): 3 km / hr.
Was this answer helpful?
1
1
Top Questions on Motion in a plane
- The lowest frequency of the air column in an open pipe of length \( L \) is \( v \) (velocity of sound in air)
- KEAM - 2024
- Physics
- Motion in a plane
- The displacement of the body is given to be proportional to the cube of time elapsed. The magnitude of acceleration of body is
- JKCET - 2024
- Physics
- Motion in a plane
- The speed \( v \) of a wave on a string depends on the tension \( F \) in the string and the mass per unit length \( m/L \) of the string. If it is known that [F] = [ML][T]–2, the values of the constants \( a \) and \( b \) in the following equation for the speed of a wave on a string are: \[ v = (\text{constant}) F^a \left( \frac{m}{L} \right)^b \]
- OJEE - 2024
- Physics
- Motion in a plane
y = a sin(βx + γt)wherex and t represent displacement and time, respectively. Then, the dimensional formula for β— γis:
- TS EAMCET - 2024
- Physics
- Motion in a plane
- The time period of a simple pendulum on the surface of the earth is \( T \). The time period of the same pendulum at a height of 1280 km from the surface of the earth is
- TS EAMCET - 2024
- Physics
- Motion in a plane
View More Questions
Questions Asked in NEET exam
- Match List I with List II:
List I List II A Two or more alternative forms of a gene I Back cross B Cross of F1 progeny with homozygous recessive parent II Ploidy C Cross of F progeny with any of the parents III Allele D Number of chromosome sets in plant IV Test cross
Choose the correct answer from the options given below:- NEET (UG) - 2024
- Regulation of Gene Expression
In the above diagram, a strong bar magnet is moving towards solenoid-2 from solenoid-1. The direction of induced current in solenoid-1 and that in solenoid-2, respectively, are through the directions :- NEET (UG) - 2024
- Solenoids and Toroids
- 1 gram of sodium hydroxide was treated with 25 ml. of 0.75 M HCI solution, the mass of sodium hydroxide left unreacted is equal to
- NEET (UG) - 2024
- Structural Representations Of Organic Compounds
- Two heaters A and B have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is :
- NEET (UG) - 2024
- work, energy and power
The following graph represents the T-V curves of an ideal gas ( where T is the temperature and V the volume) at three pressures P1, P2 and P3 compared with those of Charles's law represented as dotted lines.
Then the correct relation is :- NEET (UG) - 2024
- Ideal Gases
View More Questions
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration