The following are four different relations about displacement, velocity, and acceleration for the motion of a particle in general. Choose the incorrect statement(s):
(a) vav = 1/2 [v(t1) + v(t2)]
(b) vav = r(t2)-r(t1)/t2-t1
(c) r = 1/2 [v(t2)-v(t1)](t2-t1)
(d) aav = v(t2)-v(t1)/t2-t1
1. (a), d)
2. (a), c)
3. (b), c)
4. (a), b)
For a particle performing uniform circular motion,
(a) Magnitude of particle velocity (speed) remains constant.
(b) Particle velocity remains directly perpendicular to the radius vector.
(c) Direction of acceleration keeps changing as the particle moves.
(d) Angular momentum is constant in magnitude but direction keeps changing.
Choose the correct statement/s:
1. (c, d)
2. (a, c)
3. (b, c)
4. (a, b, c)
|Assertion:||The maximum height of a projectile is always \(25\)% of the maximum range.|
|Reason:||For maximum height, the projectile should be projected at \(90^\circ.\)|
|1.||Both assertion and reason are correct, reason is the correct explanation of Assertion.|
|2.||Both assertion and reason are correct but the reason is not the correct explanation of the assertion.|
|3.||Assertion is correct and the reason is incorrect.|
|4.||Assertion is incorrect and the reason is correct.|
|Assertion:||Linear momentum of a body changes even when it is moving uniformly in a circle.|
|Reason:||In uniform circular motion, velocity remains constant.|
|1.||Both assertion and reason are true and the reason is the correct explanation of the assertion.|
|2.||Both assertion and reason are true but the reason is not the correct explanation of the assertion.|
|3.||Assertion is true but the reason is false.|
|4.||Both assertion and reason are false.|