Applying NLM along 3 Axis

Q. A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

1. 
2. 
3. Zero
4. 

Q.

Suppose the acceleration due to gravity at a place is 10 $m/s^2$. Find its value in cm/${\text{(minute)}}^2$.

Q.

Two forces F1 = (7i + 2j) N and F2 = (-5i + 3j) N act on a particle. The third force F3 that should act on the particle to make it move with constant velocity is a) (2i + 5j) N b) (-2i – 5j) N c) (–2i + 5j) N d) (2i – 5j) N

Q. A cricketer lowers his hands to catch a ball safely. Explain why?

Q.

A boy of mass $4kg$ is standing on a piece of wood with having a mass of $5kg$. The coefficient of friction between the wood and the floor is $0.5$. What is the maximum force that the boy can exert on the rope so that the piece of wood does not move from its place? (Round off to the Nearest Integer)

Q.

Does the length of the spring affect the spring constant?

Q.

A man weighs 80 kg. He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of $5m/s^2$. What would be the reading on the scale. $(g=10m/s^2)$

1. Zero

2. 1200 N

3. 400 N

4. 800 N

Q. A charge $Q$ is placed symetrically at the centre of a closed cylinder as shown in the figure. The flux associated with the curved surface of the cylinder is

1. $\frac{Q}{2{\epsilon }_0}\cos \alpha$

2. $\frac{Q}{{\epsilon }_0}\cos \alpha$

3. $\frac{2Q}{{\epsilon }_0}\cos \alpha$

4. $\frac{Q}{{\epsilon }_0}\sin \alpha$

Q.

A body of mass 40 gm is moving with a constant velocity of 2 cm/sec on a horizontal frictionless table. The force on the table is

39200 dyne

160 dyne

80 dyne

Zero dyne

Q. A ball of mass m strikes the inclined face of the wedge normally with speed $v_0$. The wedge is at rest on a rough horizontal surface before collision. The conservation of momentum is applicable for

(i) $m$ as system, along $Y^{\prime }$
(ii) $M$ as system, along $Y^{\prime }$
(iii) $(M+m)$ as system, along $X$
(iv) $(M+m)$ as system, along $Y$
which of the following statement/statements is correct?

1. (iii) only
2. (iii) and (iv) only
3. (i) and (ii) only
4. (i) only

Q.

Name the type of lever the hammer belongs to in case of driving a nail with a hammer.

Q.

A machine gun fires $20$ bullets per second into a target. Each bullet weighs $150\mathrm{gms}$ and has a speed of $800\mathrm{m}/\mathrm{s}$. Calculate the force required to hold the gun in position?

Q. The tension in the spring

1. Zero
2. 2.5 N
3. 5 N
4. 10 N

Q.

A man is standing on a weighing machine placed in a lift, when stationary, his weight is recorded as 40 kg. If the lift is accelerated upwards with an acceleration of $2m/s^2$, then the weight recorded in the machine will be $(g=10m/s^2)$

1. 32 kg

2. 40 kg

3. 42 kg

4. 48 kg

Q.

In a tug of war, two opposite teams are pulling the rope with an equal and opposite force of $10KN$ at each and of the rope, so that condition of equilibrium exists. What is the tension in the rope?

1. Zero

2. $5kN$

3. $10kN$

4. $20kN$

Q. A block of mass $m=2\text{kg}$ on a smooth inclined plane at an angle ${30}^{\circ }$ is connected to a second block of mass $m_2=3\text{kg}$ by a cord passing over a frictionless pulley as shown in fig. The acceleration of each block (in ${\text{m/s}}^2$) is
(assume $g=10{\text{m/sec}}^2$)

Q.

A boy of mass 50 kg is standing on a weighing machine placed on the floor of a lift. The machine reads his weight in newton. What is the reading of the machine when the lift is stationary? Take $g=9.8m{s}^{-2}$

1. 500 N

2. Zero

3. 50 N

4. 490 N

Q. Explain what is meant by action-reaction pair.

Q.

If the moon attracts the earth, why does the earth not move towards the moon?

Q. If a body is in equilibrium under a set of non collinear forces then the minimum number of forces has to be

Q. A beaker contains water up to a height $h_1$ and kerosene up to height $h_2$ above water. Refractive index of water is ${\mu }_1$ and that of kerosene is ${\mu }_2$. The apparent shift in the position of the bottom of the beaker when viewed from the top is

1. $(1-\frac{1}{{\mu }_1})h_1+(1-\frac{1}{{\mu }_2})h_2$
2. $(1+\frac{1}{{\mu }_1})h_1-(1+\frac{1}{{\mu }_2})h_2$
   
3. $(1-\frac{1}{{\mu }_1})h_2+(1-\frac{1}{{\mu }_2})h_1$
4. $(1+\frac{1}{{\mu }_1})h_2-(1+\frac{1}{{\mu }_2})h_1$

Q. In the $YDSE$ shown, the two slits are covered with thin sheets having thickness $t$ and $2t$ and refractive index $2\mu \text{and}\mu$ respectively. Find the position $\left(y\right)$ of central maxima:

1. $\text{zero}$
2. $\frac{tD}{d}$
3. $\frac{tD}{2d}$
4. $\frac{2tD}{d}$

Q. A monkey of mass $40\text{kg}$ climbs up a rope of breaking load $600\text{N}$, hanging from a ceiling. If it climbs up the rope with maximum possible acceleration, then the time taken by the monkey to climb up is:
(Length of the rope is $10\text{m}$ and $g=10{\text{m/s}}^2$).

1. $1\text{s}$
2. $3\text{s}$
3. $4\text{s}$
4. $2\text{s}$

Q.

The force exerted by the floor of an elevator on the foot of a person is ______ the weight of the person if the elevator is going up and speeding up.

Q.

Why are the long jump athletes made to jump in sand pits? Explain

Q. A convex spherical refracting surface with radius $R$ separates a medium having refractive index $5/2$ from air. As an object is moved towards the surface from far away from the surface along the central axis, its image

1. changes from real to virtual when it is at a distance $R$ from the surface
2. changes from virtual to real when it is at a distance $R$ from the surface
3. changes from real to virtual when it is at a distance $2R/3$ from the surface
4. changes from virtual to real when it is at a distance $2R/3$ from the surface.

Q. The pendulum hanging from the ceiling of a railway carriage makes an angle ${30}^{\circ }$ with the vertical when it is accelerating. The acceleration of the carriage is

1. $\frac{\sqrt{3}}{2}g{\text{m/s}}^2$
2. $\frac{2}{\sqrt{3}}g{\text{m/s}}^2$
3. $\frac{g}{\sqrt{3}}{\text{m/s}}^2$
4. $g\sqrt{3}{\text{m/s}}^2$

Q.

What is not an example of Newtons third law?

1. Rowing a boat in a pond

2. Walking

3. Lowering your hands while catching the ball

4. Firing a bullet from a gun

Q.

In the previous problem, suppose $m_2=2.0$kg and $m_3=3.0kg$. What should be the mass m so that it remains at rest ?

Q. A denser medium of a refractive index $1.5$ has a concave surface of radius of curvature $12\text{cm}$. An object is situated in the denser medium at a distance of $9\text{cm}$ from the pole. Locate the image due to refraction in air.

1. A real image at $8\text{cm}$
2. A virtual image at $8\text{cm}$
3. A real image at $4.8\text{cm}$
4. A virtual image at $4.8\text{cm}$