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Kinematics-2D

212 Questions Start Errorless Test
All Exams Allen Advance Errorless
MNR 1995; CBSE PMT 1999; UPSEAT 2000 Q201 Errorless 1. Uniform Circular Motion MCQ
Two racing cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is
A.
$m_{1}:m_{2}$
B.
$r_{1}:r_{2}$
C.
1:1
D.
$m_{1}r_{1}:m_{2}r_{2}$
CBSE PMT 1995; SCRA 1998; Pb. PMT 1999; DPMT 2000; AFMC 2002; CPMT 2002 Q202 Errorless 1. Uniform Circular Motion MCQ
The angular speed of a fly wheel making 120 revolutions/minute is
A.
$2\pi \mathrm{rad} / \mathrm{s}$
B.
$4\pi^2 \mathrm{rad} / \mathrm{s}$
C.
$\pi \mathrm{rad} / \mathrm{s}$
D.
$4\pi \mathrm{rad} / \mathrm{s}$
RPET 1995; UPSEAT 2002; MH CET 2002; RPMT 2006; MP PET 2010 Q203 Errorless 2. Non-uniform Circular Motion MCQ
A cane filled with water is revolved in a vertical circle of radius 4 m and the water just does not fall down. The time period of revolution will be
A.
1 sec
B.
10 sec
C.
8 sec
D.
4 sec
EAMCET (Med.) 1995; MH CET 2003; BCECE 2004 Q204 Errorless 4. Oblique Projectile Motion MCQ
A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls
A.
Outside the car
B.
In the car ahead of the person
C.
In the car to the side of the person
D.
Exactly in the hand which threw it up
Q205 Errorless 5. Critical Thinking MCQ
A balloon is moving up in air vertically above a point $A$ on the ground. When it is at a height $h_1$ , a girl standing at a distance $d$ (point $B$ ) from $A$ (see figure) sees it at an angle $45^\circ$ with respect to the vertical. When the balloon climbs up a further height $h_2$ , it is seen at an angle $60^\circ$ with respect to the vertical if the girl moves further by a distance $2.464 d$ (point $C$ ). Then the height $h_2$ is (given $\tan 30^\circ = 0.5774$ )
A.
d
B.
0.732 d
C.
1.464 d
D.
0.464 d
Q206 Errorless 5. Critical Thinking MCQ
An electron with kinetic energy $K_{1}$ enters between parallel plates of a capacitor at an angle ' $\alpha'$ with the plates. It leaves the plates at angle ' $\beta'$ with kinetic energy $K_{2}$ . Then the ratio of kinetic energies $K_{1}:K_{2}$ will be
A.
$\frac{\sin^{2}\beta}{\cos^{2}\alpha}$
B.
$\frac{\cos^{2}\beta}{\cos^{2}\alpha}$
C.
$\frac{\cos\beta}{\cos\alpha}$
D.
$\frac{\cos\beta}{\sin\alpha}$
Q207 Errorless 6. Graphical Questions MCQ
A small roller coaster starts at point A with a speed u on a curved track as shown in the figure The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point D on the track will be
A.
$(u ^ {2} + g h) ^ {\frac {1}{2}}$
B.
$(u^{2} + 2gh)^{\frac{1}{2}}$
C.
$(u^{2}+4gh)^{\frac{1}{2}}$
D.
u
Q208 Errorless 7. JEE Section MCQ
Statement-1 : During flight under action of gravity, the change in velocity of a projectile in same time intervals is same. (Neglect air friction) Statement-2 : Neglecting air friction, the acceleration of projectile is constant during flight.
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
Q209 Errorless 7. JEE Section MCQ
The instant of time at which acceleration and velocity are perpendicular is
A.
0.6 sec
B.
1.2 sec
C.
2.4 sec
D.
None of these
Q210 Errorless 7. JEE Section MCQ
The instant of time at which speed of particle is least
A.
0.6 sec
B.
1.2 sec
C.
2.4 sec
D.
None of these
Q211 Errorless 7. JEE Section MCQ
The instant of time t at which acceleration of particle is perpendicular to its displacement (displacement from t=0 till that instant t) is
A.
0.6 sec
B.
1.2 sec
C.
2.4 sec
D.
None of these
Q212 Errorless 7. JEE Section Numerical
A projectile is thrown from a point O on the ground at an angle $45^{\circ}$ from the vertical and with a speed $5\sqrt{2}$ m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically down to the ground, 0.5s after the splitting. The other part, t seconds after the splitting, falls to the ground at a distance x meters from the point O. The acceleration due to gravity $g = 10 \, m/s^{2}$ A projectile is fired from horizontal ground with speed v and projection angle $\theta$ . When the acceleration due to gravity is g, the range of the projectile is d. If at the highest point in its trajectory, the projectile enters a different region where the effective acceleration due to gravity is $g' = \frac{g}{0.81}$ , then the new range is $d' = nd$ . The value of n is ____