Motion in a Plane Test

Result

Motion in a Plane Test - 8

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Weekly Quiz Competition

Question 1
4 / -1

If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is

A
0.2047 rads ^-1, 0.0314 ms ^-1

B
0.2547 rads ^-1, 0.314 ms ^-1

C
0.1472 rads ^-1, 0.06314 ms ^-1

D
0.1047 rads ^-1, 0.00314 ms ^-1

Solution
Question 2
4 / -1

A cyclist is moving on a circular track of radius 80 m with a velocity v = 36 Kmh ^-1. He has to lean from the vertical approximately through an angle (take, g = 10 ms ^-2 )

A
tan ^-1(4)

B

C

D

Solution
Question 3
4 / -1

A weightless thread can bear tension upto 37 N. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g = 10ms ^-2, then the maximum angular velocity of the stone will be

A
2 rad s ^-1

B
4 rad s ^-1

C
8 rad s ^-1

D
16 rad s ^-1

Solution
Question 4
4 / -1

One end of a string of length l is connected to a particle of mass m and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v, the net force on the particle (directed towards the centre) is

A
T

B

C

D
zero

Solution
Question 5
4 / -1

A stone of mass 1 kg tied to the end of a string of length 1 m, is whirled in a horizontal circle with a uniform angular velocity 2 rads ^-1. The tension of the string is (in newton)

A
2

B
1/3

C
4

D
1/4

Solution
Question 6
4 / -1

What is the angular velocity of the earth?

A

B

C

D

Solution
Question 7
4 / -1

A particle of mass m is rotating in a horizontal circle of radius R and is attached to a hanging mass M as shown in the figure. The speed of rotation required by the mass m keep M steady is

A

B

C

D

Solution
Question 8
4 / -1

A body is projected at an angle θ so that its range is maximum. If T is the time of flight, then the value of maximum range is (acceleration due to gravity = g)

A

B

C

D

Solution
Question 9
4 / -1

A particle of mass m is projected with a velocity v making an angle of 30° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is

A

B
zero

C

D

Solution
Question 10
4 / -1

For a given velocity, a projectile has the same range R of two angles of projection if t₁ and t₂ are the time of flight in the two cases, then

A
t₁ t₂∝ R

B
t₁ t₂∝ R ²

C
t₁ t₂∝1/R ²

D
t₁ t₂∝1/R

Solution