Select the incorrect statement:
1. | It is possible to have \(\left|\frac{{d} \overrightarrow{v}}{dt}\right| = 0 \) and \(\frac{{d}|\overrightarrow{v}|}{{dt}} \neq 0 \) |
2. | It is possible to have\(\left|\frac{{d} \overrightarrow{{v}}}{{dt}}\right| \neq 0 \) and \(\frac{{d}|\overrightarrow{{v}}|}{dt}=0 .\) |
3. | it is possible to have\(\left|\frac{{d} \overrightarrow{v}}{{dt}}\right|=0\) and \(\frac{{d}|\overrightarrow{{v}}|}{dt}=0 . \) |
4. | It is possible to have \(\left|\frac{{d} \overrightarrow{{v}}}{{dt}}\right| \neq 0\) and \(\frac{{d} \overrightarrow{{v}}}{{dt}} \neq 0 \) |
A projectile is fired horizontally from the top of a tower. The time after which the instantaneous velocity will be perpendicular to the initial velocity is (neglect air resistance) :
(1)
(2)
(3)
(4) It will never be perpendicular at any instant
A particle of mass \(2\) kg is moving in a circular path with a constant speed of \(10\) m/s. The change in the magnitude of velocity when a particle travels from \(P\) to \(Q\) will be: [assume the radius of the circle is \(10/\pi^2]\)
1. | \(10 \sqrt{3} \) | 2. | \(20 \sqrt{3}\) |
3. | \(10\) | 4. | \(0\) |
Uniform circular motion is an example of:
(1) Uniform motion
(2) Uniform speed
(3) Uniform acceleration
(4) Non-uniform speed
Given below are two statements:
Statement I: | The path of a projectile with respect to another projectile is a straight line. |
Statement II: | The acceleration of one projectile with respect to the other is zero. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | During the projectile motion of a particle near the earth's surface, only a vertical component of its velocity changes. |
Statement II: | Acceleration due to gravity near the earth's surface is in a vertically downward direction. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | Force acting on a particle in uniform circular motion is constant. |
Statement II: | Acceleration of a particle in uniform circular motion is constant. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | Range for projectile motion on a horizontal plane is maximum for the angle of projection equal to 45°. |
Statement II: | The time of flight of a projectile on a horizontal plane does not depend on the horizontal component of velocity. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Statement I: | A body either dropped or thrown horizontally from the same height, reach the ground at the same time interval. |
Statement II: | The horizontal velocity of a particle has no effect on its vertical motion. |
1. | Statement I is false but Statement II is true. |
2. | Both Statement I and Statement II are true. |
3. | Both Statement I and Statement II are false. |
4. | Statement I is true but Statement II is false. |
Given below are two statements:
Assertion (A): | Uniform circular motion is an unaccelerated motion. |
Reason (R): | Velocity remains constant in a uniform circular motion. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |