Motion in a Plane Test

Result

Motion in a Plane Test - 30

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Weekly Quiz Competition

Question 1
4 / -1

A cylindrical vessel partially with water is rotated about its vertical central axis. Its surface will

A
Rise equally

B
Rise from the sides

C
Rise from the middle

D
Lowered equally
Question 2
4 / -1

An aeroplane is flying with a uniform speed of 100 m/s along a circular path of radius 100 m. The angular speed of the aeroplane will be

A
1 rad/sec

B
2 rad/sec

C
3 rad/sec

D
4 rad/sec

Solution
Question 3
4 / -1

The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is

A
70 m/s

B
35 m/s

C
30 m/s

D
20 m/s

Solution
Question 4
4 / -1

A cyclist goes round a circular path of circumference 34.3 m in √22 sec. The angle made by him, with the vertical will be

A
45^o

B
40^o

C
42^o

D
48^o

Solution
Question 5
4 / -1

A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its

A
Kinetic energy changes by MV²/4

B
Momentum does not change

C
Momentum changes by 2MV

D
Kinetic energy changes by MV²
Question 6
4 / -1

In uniform circular motion, the velocity vector and acceleration vector are

A
Perpendicular to each other

B
Same direction

C
Opposite direction

D
Not related to each other
Question 7
4 / -1

A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statements about the velocity of the car is true?

A
Magnitude of velocity is not constant

B
Both magnitude and direction of velocity change

C
Velocity is directed towards the centre of the circle

D
Magnitude of velocity is constant but direction changes
Question 8
4 / -1

A particle moves with constant speed v along a circular path of radius r and completes the circle in time T.. The acceleration of the particle is

A
2πv/T

B
2πt/t

C
2πr²

D
2πv²/T

Solution
Question 9
4 / -1

The maximum velocity (in m/s) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction 0.6 to avoid skidding is

A
60

B
30

C
15

D
25

Solution
Question 10
4 / -1

In uniform circular motion

A
Both angular velocity and the angular momentum vary

B
The angular velocity varies but the angular momentum remains constant

C
Both the angular velocity and the angular momentum stay constant

D
The angular momentum varies but the angular velocity remains constant

Solution