Mass \(m_{1}\) moves on a slope making an angle \(\theta\) with the horizontal and is attached to mass \(m_{2}\) by a string passing over a frictionless pulley as shown in the figure. The coefficient of friction between \(m_{1}\) and the sloping surface is \(\mu\).
              

(a) If \(m_{2} > m_{1} \text{sin} ⁡ \theta \), the body will move up the plane.
(b) If  \(m_{2} > m_{1} (\text{sin} ⁡ \theta +\mu \text{cos} \theta)\), the body will move up the plane.
(c) If  \(m_{2} < m_{1} (\text{sin} ⁡ \theta +\mu \text{cos} \theta)\), the body will move up the plane.
(d) If  \(m_{2} < m_{1} (\text{sin} ⁡ \theta -\mu \text{cos} \theta)\), the body will move down the plane.

Which of the following statement/s is/are true?
1. (a, d) 2. (a, c)
3. (c, d) 4. (b, d)

Subtopic:  Friction |
 57%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

In figure a body \(A\) of mass \(m\) slides on a plane inclined at angle \(\left(\theta_{1}\right)\) to the horizontal and \(\mu\) is the coefficient of friction between \(A\) and the plane. \(A\) is connected by a light string passing over a frictionless pulley to another body \(B,\) also of mass \(m\), sliding on a frictionless plane inclined at an angle \(\left(\theta_{2}\right)\) to the horizontal.

             
 

(a) A will never move up the plane
(b) A will just start moving up the plane when \(\mu = \frac{{\sin}   \left(\theta\right)_{2} - {\sin}   \left(\theta\right)_{1}}{{\cos}   \left(\theta\right)_{1}}\)
(c) For \(A\) to move up the plane, \(\left(\theta\right)_{2}\) must always be greater than \(\left(\theta\right)_{1}\)
(d) \(B\) will always slide down with a constant speed

Which of the following statement/s is/are true?

1. (b, c) 2. (c, d)
3. (a, c) 4. (a, d)
Subtopic:  Friction |
 52%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass \(10\) kg is acted upon by two perpendicular forces, \(6\) N and \(8\) N. The resultant acceleration of the body is:

(a) \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{4}{3}\right ) \) w.r.t. \(6\) N force
(b) \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8\) N force
(c) \(1~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(8\) N force
(d) \(0.2~\text{ms}^{-2}\) at an angle of \(\text {tan}^{-1} \left(\dfrac{3}{4}\right ) \) w.r.t. \(6\) N force

Choose the correct option:
1. (a), (c) 2. (b), (c)
3. (c), (d) 4. (a), (b), (c)

Subtopic:  Application of Laws |
 78%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

In the figure, the coefficient of friction between the floor and body \(B\) is \(0.1.\) The coefficient of friction between bodies \(B\) and \(A\) is \(0.2.\) A force \(F\) is applied as shown on \(B.\) The mass of \(A\) is \(rn/2\) and of \(B\) is \(m.\)

             

(a) The bodies will move together if \(F = 0.25\text{mg}\)
(b) The \(A\) will slip with \(B\) if \(F = 0.5\text{mg}\)
(c) The bodies will move together if \(F = 0.5\text{mg}\)
(d) The bodies will be at rest if \(F = 0.1\text{mg}\)
(e) The maximum value of \(F\) for which the two bodies will move together is \(0.45\text{mg}\)


Which of the following statement(s) is/are true?

1. (a, b, d, e) 2. (a, c, d, e)
3. (b, c, d) 4. (a, b, c)
Subtopic:  Application of Laws | Friction |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

The motion of a particle of mass \(m\) is given by \(x=0\) for \(t<0 ~\text s\), \(x(t)=A~\text {sin}~4\pi t\) for \(0<t<(1/4) \text s ~(A>0)\), and \(x=0\) for \(t>(1/4) ~\text s\). Then:

(a) The force at \(t=(1/8) ~\text s \) on the particle is \(-16 \pi^2\text{Am}\)
(b) The particle is acted upon by an impulse of magnitude \(4 \pi^2 \text{Am}\) at \(t=0 ~\text s\) and \(t=(1/4) ~\text s\)
(c) The particle is not acted upon by any force
(d) The particle is not acted upon by a constant force
(e) There is no impulse acting on the particle


Which of the following statement/s is/are true?

1. (a, c, d, e) 2. (a, c)
3. (b, c, d) 4. (a, b, d)
Subtopic:  Newton's Laws | Application of Laws |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A car of mass \(m\) starts from rest and acquires a velocity along the east, \(v=v\mathrm{\hat{i}}(v>0)\) in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is:

1. \(mv/2 \) eastward and is exerted by the car engine.
2. \(mv/2\) eastward and is due to the friction on the tires exerted by the road.
3. more than \(mv/2\) eastward exerted due to the engine and overcomes the friction of the road.
4. \(mv/2\) exerted by the engine.

Subtopic:  Newton's Laws | Application of Laws |
 54%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body with a mass of \(5\) kg is acted upon by a force \(\vec{F}=\left ( -3\hat{i} +4\hat{j}\right )\) N. If its initial velocity at \(t=0\) is \(\vec{v}=\left ( 6\hat{i} -12\hat{j}\right )\) m/s, the time at which it will just have a velocity along the Y-axis is:
1. never
2. \(10\) s
3. \(2\) s
4. \(15\) s

Subtopic:  Newton's Laws |
 56%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A body of mass \(2~\text{kg}\) travels according to the law \(x \left( t \right) = pt + qt^2+ rt^3\) where,\(\) \(p = 3 ~\text{ms }^{−1 },\) \(q = 4 ~\text{ms }^{−2}\) and \(r = 5 ~\text{ms }^{−3}\). The force acting on the body at \(t = 2 ~\text{s }\) is

1. \(136~\text{N}\) 2. \(134~\text{N}\)
3. \(158~\text{N}\) 4. \(68~\text{N}\)
Subtopic:  Newton's Laws | Application of Laws |
 66%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

A hockey player is moving northward and suddenly turns westward at the same speed to avoid an opponent. The force that acts on the player is:

1. frictional force along westward
2. muscle force along southward
3. frictional force along south-West
4. muscle force a south-West

Subtopic:  Newton's Laws | Application of Laws |
 67%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Conservation of momentum in a collision between particles can be understood from:

1. conservation of energy
2. newton's first law only
3. newton's second law only
4. both Newton's second and third law
Subtopic:  Newton's Laws | Application of Laws |
 51%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch