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Home
Motion in a Plane Test - 28
Motion in a Plane Test - 28
Result
Motion in a Plane Test - 28
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
A boy on a cycle pedals around a circle of 20 m radius at a speed of 20 m/sec. The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that is may not fall is (g = 9.8 m/s
2
)
Correct
Wrong
Skipped
A
60.25
o
Correct
Wrong
Skipped
B
63.90
o
Correct
Wrong
Skipped
C
26.12
o
Correct
Wrong
Skipped
D
30.00
o
Solutions
Question
2/10
4 / -1
The average acceleration vector for a particle having a uniform circular motion is
Correct
Wrong
Skipped
A
A constant vector of magnitude v
2
/r
Correct
Wrong
Skipped
B
A vector of magnitude v
2
/r directed normal to the plane of the given uniform circular motion
Correct
Wrong
Skipped
C
Equal to the instantaneous acceleration vector at the start of the motion
Correct
Wrong
Skipped
D
A null vector
Question
3/10
4 / -1
Radius of the curved road on national highway is R. Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity
v
can pass safe over it. The value of h is
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Solutions
Question
4/10
4 / -1
The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed
v
is
Correct
Wrong
Skipped
A
mvr
Correct
Wrong
Skipped
B
mv
2
/r
Correct
Wrong
Skipped
C
v/r
2
m
Correct
Wrong
Skipped
D
v/mr
Question
5/10
4 / -1
A string breaks if its tension exceeds 10 N. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be
Correct
Wrong
Skipped
A
20 rad/s
Correct
Wrong
Skipped
B
40 rad/s
Correct
Wrong
Skipped
C
100 rad/s
Correct
Wrong
Skipped
D
200 rad/s
Solutions
Question
6/10
4 / -1
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m moving in a horizontal circle. Te string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?
Correct
Wrong
Skipped
A
14 m/s
Correct
Wrong
Skipped
B
3 m/s
Correct
Wrong
Skipped
C
3.92 m/s
Correct
Wrong
Skipped
D
5 m/s
Solutions
Question
7/10
4 / -1
A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 radian/sec. The centripetal force is
Correct
Wrong
Skipped
A
10 N
Correct
Wrong
Skipped
B
20 N
Correct
Wrong
Skipped
C
30 N
Correct
Wrong
Skipped
D
40 N
Solutions
Question
8/10
4 / -1
If a particle of mass m moving in a horizontal circle of radius r with a centripetal force (–k/r
2
), the total energy is
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Solutions
Question
9/10
4 / -1
A stone of mass 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16N. The maximum velocity of revolution that can be given to the stone without braking it, will be
Correct
Wrong
Skipped
A
20 ms
–1
Correct
Wrong
Skipped
B
16 ms
–1
Correct
Wrong
Skipped
C
14 ms
–1
Correct
Wrong
Skipped
D
12 ms
–1
Solutions
Question
10/10
4 / -1
A circular road of radius 1000 m has banking angle 45
o
. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between type and road is 0.5
Correct
Wrong
Skipped
A
172 m/s
Correct
Wrong
Skipped
B
124 m/s
Correct
Wrong
Skipped
C
99 m/s
Correct
Wrong
Skipped
D
86 m/s
Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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