Question 1 :
A mass of 100 g is tied to one end of string 2 m long. The body is revolving in a horizontal circle making a maximum of 200 revolutions/min. The other end of the string is fixed at the centre of the circle of revolution. The maximum tension that the string can bear is approximately

Question 2 :
An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade is

Question 3 :
In case of uniform circular motion which of the following physical quantity do not remain constant

Question 5 :
A body of mass <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e97fed8cf5ae23387f28f3e">  moves in a circular path with uniform angular velocity. The motion of the body has constant

Question 7 :
If a body is projected with an angle <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e97fec8cf5ae23387f28f0c">  to the horizontal then

Question 9 :
The time period of the second’s hand of a watch is

Question 10 :
A body is tied to one end of the string and whirled in a vertical circle, the physical quantity which remains constant is

Question 11 :
The time taken to reach the maximum height will be decreased by

Question 12 :
A boatman is stationed at a point on one bank of a river of width {tex} 1 \mathrm { km } . {/tex} The river is flowing at {tex} 5 \mathrm { km } / \mathrm { h } {/tex} and the boatman can row with a speed of {tex} 10 \mathrm { km } / \mathrm { h } {/tex} in still water , the time taken to cross the river is

Question 13 :
Two balls are dropped from the same point after an interval of $1$ second. Their separation $3$ second after the release of the second ball. ($g = 10 m/s$ $^2$)

Question 14 :
A particle has an initial velocity {tex} 3 \hat { i } + 4 \hat { j } {/tex} and an acceleration of {tex} 0.4 \hat { i } + 0.3 \hat { j } {/tex}. Its speed after {tex}10{/tex} sec is

Question 15 :
The range of a projectile is {tex} R {/tex} when the angle of projection is {tex} 40 ^ { \circ } . {/tex} For the same velocity of projection and range, the other possible angle of projection is

Question 16 :
A boat which has a speed of {tex} 5 \ \mathrm { km } / \mathrm { hr } {/tex} in still water crosses a river of width {tex} 1 \ \mathrm { km } {/tex} along the shortest possible path in {tex} 15 \ \mathrm { minutes. } {/tex} The velocity of the river water in {tex} \mathrm { km } / \mathrm { hr } {/tex} is

Question 17 :
A particle {tex} P {/tex} is moving in a circle of radius {tex} ^ { \prime } a ^ { \prime } {/tex} with a uniform speed {tex} v .\ C {/tex} is the centre of the circle and {tex} A B {/tex} is a diameter. When passing through {tex} B {/tex} the angular velocity of {tex} P {/tex} about {tex} A {/tex} and {tex} C {/tex} are in the ratio:

Question 18 :
A particle has an initial velocity {tex} 3 \hat { i } + 4 \hat { j } {/tex} and an acceleration of {tex} 0.4 \hat { i } + 0.3 \hat { j } . {/tex} Its speed after {tex}10 {/tex}sec is

Question 19 :
When a body moves in a circular path, no work is done by the force since

Question 20 :
A particle is projected at an angle of elevation {tex} \alpha {/tex} and after {tex} t {/tex} seconds it appears to have an angle of elevation {tex} \beta {/tex} as seen from point of projection. The initial velocity will be

Question 21 :
It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation {tex} 5 \pi / 36 {/tex} rad should strike a given target. In actual practice, it was found that a hill just prevented the trajectory. At what angle (rad) of elevation should the gun be fired to hit the target

Question 22 :
If {tex} \overrightarrow { \mathrm { A } } = \hat { \mathrm { i } } + \hat { \mathrm { j } } + \hat { \mathrm { k } } {/tex} and {tex} \overrightarrow { \mathrm { B } } = 2 \hat { \mathrm { i } } - \hat { \mathrm { j } } + 4 \hat { \mathrm { k } } {/tex} then the unit vector along {tex} \overrightarrow { \mathrm { A } } + \overrightarrow { \mathrm { B } } {/tex} is

Question 23 :
A particle of unit mass is projected with velocity {tex} u {/tex} at an inclination {tex} \alpha {/tex} above the horizon in a medium whose resistance is {tex} k {/tex} times the velocity. Its direction will again make an angle {tex} \alpha {/tex} with the horizon after a time

Question 24 :
A {tex} 2 \mathrm { m } {/tex} wide truck is moving with a uniform speed {tex} v _ { 0 } = 8 \mathrm { m } / \mathrm { s } {/tex} along a straight horizontal road. A pedestrain starts to cross the road with a uniform speed {tex} v {/tex} when the truck is {tex}4 \mathrm { m } {/tex} away from him. The minimum value of {tex} v {/tex} so that he can cross the road safely is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e0dc657e50f934b847a5a4c">

Question 25 :
A stone is just released from the window of a moving train moving along a horizontal straight track. The stone will hit the ground following a