हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

Mark the Correct Statements: (A) the Magnitude of the Velocity of a Particle is Equal to Its Speed. (B) the Magnitude of Average Velocity in an Interval is Equal to Its Average Speed in that Interval. - Physics

Advertisements
Advertisements

प्रश्न

Mark the correct statements:

विकल्प

  • The magnitude of the velocity of a particle is equal to its speed.

  • The magnitude of average velocity in an interval is equal to its average speed in that interval.

  • It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero.

  • It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.

MCQ

उत्तर

The magnitude of the velocity of a particle is equal to its speed.
(a) Velocity being a vector quantity has magnitude as well as direction, and magnitude of velocity is called speed.
(b) Average velocity = \[\frac{\text{ Total displacement } }{\text{ Total time taken } }\]

Average speed = \[\frac{\text{ Total distance travelled } }{\text{ Total time taken } }\]

Distance \[\geq\] Displacement

∴ Average speed \[\geq\]  Average velocity

The magnitude of average velocity in an interval is not always equal to its average speed in that interval. 

(c) If speed is always zero, then the distance travelled is always zero. Hence, the total distance travelled and the average speed will be zero.
(d) If the speed of a particle is never zero, the distance travelled by the particle is never zero. Hence, the average speed will not be zero.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Rest and Motion: Kinematics - MCQ [पृष्ठ ५०]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
अध्याय 3 Rest and Motion: Kinematics
MCQ | Q 7 | पृष्ठ ५०

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

The following figure gives the x-t plot of a particle in one-dimensional motion. Three different equal intervals of time are shown. In which interval is the average speed greatest, and in which is it the least? Give the sign of average velocity for each interval.


When a particle moves with constant velocity, its average velocity, its instantaneous velocity and its speed are all equal. Comment on this statement.

 

A motor car is going due north at a speed of 50 km/h. It makes a 90° left turn without changing the speed. The change in the velocity of the car is about ______.


A person travelling on a straight line moves with a uniform velocity v1 for some time and with uniform velocity v2 for the next equal time. The average velocity v is given by


The range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be 


Pick the correct statements:
(a) Average speed of a particle in a given time is never less than the magnitude of the average velocity.
(b) It is possible to have a situation in which

\[\left| \frac{d \vec{v}}{dt} \right| \neq 0 \text{ but } \frac{d}{dt} = \left| \vec{v} \right| = 0\]
(c) The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero is the interval.
(d) The average velocity of a particle moving on a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval. (Infinite accelerations are not allowed).

It is 260 km from Patna to Ranchi by air and 320 km by road. An aeroplane takes 30 minutes to go from Patna to Ranchi whereas a delux bus takes 8 hours.  Find the average speed of the plane. 


It is 260 km from Patna to Ranchi by air and 320 km by road. An aeroplane takes 30 minutes to go from Patna to Ranchi whereas a delux bus takes 8 hours.   Find the average speed of the bus.


It is 260 km from Patna to Ranchi by air and 320 km by road. An aeroplane takes 30 minutes to go from Patna to Ranchi whereas a delux bus takes 8 hours. Find the average velocity of the plane.


It is 260 km from Patna to Ranchi by air and 320 km by road. An aeroplane takes 30 minutes to go from Patna to Ranchi whereas a delux bus takes 8 hours. Find the average velocity of the bus.


When a person leaves his home for sightseeing by his car, the meter reads 12352 km. When he returns home after two hours the reading is 12416 km. What is the average speed of the care during this period?  


When a person leaves his home for sightseeing by his car, the meter reads 12352 km. When he returns home after two hours the reading is 12416 km. What is the average of velocity?  


An athlete takes 2.0 s to reach his maximum speed of 18.0 km/h. What is the magnitude of this average acceleration.

 

In the following figure  shows x-t graph of a particle. Find the time t such that the average velocity of the particle during the period 0 to t is zero.


Among the four graphs (Figure), there is only one graph for which average velocity over the time intervel (0, T ) can vanish for a suitably chosen T. Which one is it?


A vehicle travels half the distance L with speed V1 and the other half with speed V2, then its average speed is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×