Motion in a Plane Test

Result

Motion in a Plane Test - 40

Score
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Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A body is projected with a speed u m/s at an angle β with the horizontal. The kinetic energy at the highest point is 3/4 th of the initial kinetic energy. The value of β is

A
30^o

B
45^o

C
60^o

D
120^o

Solution
Question 3
4 / -1

An object is projected so that its horizontal range R is maximum. If the maximum height attained by the object is H, then the ratio of R/H is

A
4

B
1/4

C
2

D
1/2
Question 4
4 / -1

Two projectiles A and B thrown with speeds in the ratio 1 : √ 2 acquires the same heights. If A is thrown at an angle of 45^o with the horizontal, the angle of projection of B will be

A
0^o

B
60^o

C
30^o

D
45^o

Solution
Question 5
4 / -1

A particle crossing the origin of coordinates at time t = 0, moves in the xy-plane with a constant acceleration a in the y - direction. If its equation of motion is y = bx² (b is a constant), its velocity component in the x-direction is

A

B

C

D

Solution
Question 6
4 / -1

A
y² = x² + cosntant

B
y = x² + constant

C
y² = x + constant

D
xy = constant

Solution
Question 7
4 / -1

A car is moving in a circular track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is

A
Zero

B
30^o

C
45^o

D
60^o

Solution
Question 8
4 / -1

A particle of mass m is moving in a circular path of radius r such that its centripetal acceleration a_c is varying with time t as, a_c = k²rt². The power delivered to the particle by the forces acting on it is

A

B

C

D
Zero

Solution
Question 9
4 / -1

A stone of mass 1 kg tied to a light inextensible string of length L = 10/3 m is whirling in a circular path of radius L in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10 m/s², the speed of the stone at the highest point of the circle is

A
20 m/s

B
10√ 3 m/s

C
5√ 2 m/s

D
10 m/s

Solution
Question 10
4 / -1

A particle P is sliding down a frictionless hemispherical bowl. It passes the point A at t = 0. At this instant of time, the horizontal component of its velocity is v. A bead Q of the same mass as P is ejected from A at t = 0 along the horizontal string AB (see figure) with the speed v. Friction between the bead and the string may be neglected. Let t_P and t_Q be the respective time taken by P and Q to reach the point B. Then

A
t_P < t_Q

B
t_P = t_Q

C
t_P > t_Q

D
All of these