Questions

Assertion & Reason

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44 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Assertion : The shape of a liquid drop is spherical.
Reason : The pressure inside the drop is greater than that of outside.
Answer
(b) The free surface of liquid tries to acquire a minimum area due to surface tension, hence liquid drop is spherical because sphere has minimum area than other shape.
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Question 21 Mark
Assertion : Hot soup tastes better than the cold soup.
Reason : Hot soup has high surface tension and it does not spread properly on our tongue.
Answer
(c) With increase in temperature of liquid its surface tension decreases so that it tends to acquire larger area. Hence hot soup having low value of surface tension spread properly on our tongue & provides better taste than cold soup.
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Question 31 Mark
Assertion : The water rises higher in a capillary tube of small diameter than in the capillary tube of large diameter.
Reason : Height through which liquid rises in a capillary tube is inversely proportional to the diameter of the capillary tube.
Answer
(a) The height of capillary rise is inversely proportional to radius (or diameter) of capillary tube i.e. $h \propto \frac{1}{r}$ So for smaller $r$ the value of $h$ is higher.
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Question 41 Mark
Assertion : Tiny drops of liquid resist deforming forces better than bigger drops.
Reason : Excess pressure inside a drop is directly proportional to surface tension.
Answer
(b) When a drop of liquid is poured on a glass plate, the shape of the drop is governed by two forces, the force of gravity. For very small drops, the potential energy due to gravity is insignificant compared to that due to surface tension. Hence, in this case the shape of the drop is determined by surface tension alone and drop becomes spherical.
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Question 51 Mark
Assertion : A large soap bubble expands while a small bubble shrinks, when they are connected to each other by a capillary tube.
Reason : The excess pressure inside bubble (or drop) is inversely proportional to the radius.
Answer
(a) Since the excess pressure due to surface tension is inversely proportional to its radius, it follows that smaller the bubble, greater is the excess pressure. Thus, when the larger and the smaller bubbles are put in communication, air starts passing from the smaller into the large bubble because excess pressure inside the former is greater than inside the latter. As a result, the smaller bubble shrinks and the larger one swells.
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Question 61 Mark
Assertion : At critical temperature, surface tension of a liquid becomes zero.
Reason : At this temperature, intermolecular forces for liquids and gases become equal. Liquid can expand without any restriction.
Answer
(a) Zero surface tension means no opposition to expansion.
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Question 71 Mark
Assertion : The concept of surface tension is held only for liquids.
Reason : Surface tension does not hold for gases.
Answer
(b) We know that the intermolecular distance between the gas molecules is large as compared to that of liquid. Due to it the forces of cohesion in the gas molecules are very small and these are quite large for liquids. Therefore, the concept of surface tension is applicable to liquid but not to gases.
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Question 81 Mark
Assertion : The angle of contact of a liquid decrease with increase in temperature.
Reason : With increase in temperature, the surface tension of liquid increase.
Answer
(c) With increase in temperature surface tension of the liquid decreases and angle of contact also decreases.
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Question 91 Mark
Assertion : The impurities always decrease the surface tension of a liquid.
Reason : The change in surface tension of the liquid depends upon the degree of contamination of the impurity.
Answer
(e) The presence of impurities either on the liquid surface or dissolved in it, considerably affect the force of surface tension, depending upon the degree of contamination. A highly soluble substance like sodium chloride when dissolved in water increase the surface tension. But the sparing soluble or substance like phenol when dissolved in water reduces the surface tension of water.
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Question 101 Mark
Assertion : A large force is required to draw apart normally two glass plates enclosing a thin water film.
Reason : Water works as glue and sticks two glass plates.
Answer
(c) The two glass plates stick together due to surface tension.
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Question 111 Mark
Assertion : A needle placed carefully on the surface of water may float, whereas a ball of the same material will always $\sin k$.
Reason : The buoyancy of an object depends both on the material and shape of the object.
Answer
(c) Needle floats due to surface tension there is no role of buoyant force in its floatingBuoyant force $=V \sigma g$Where $V=$ volume of body submerged in liquid $\sigma=$ density of liquid.i.e. the buoyancy of an object depends on the shape of the object.
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Question 121 Mark
Assertion : When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.
Reason : Product of radius of meniscus and height of liquid in capillary tube always remains constant.
Answer
(a) $h=\frac{2 T}{R d g} \Rightarrow h R=\frac{2 T}{R d g}$
$\therefore h R=$ constant Hence when the tube is of insufficient length, radius of curvature of the liquid meniscus increases, so as to maintain the product $h R$ a finite constant. i.e. as $h$ decreases, $R$ increases and the liquid meniscus becomes more and more flat, but the liquid does not overflow.
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Question 131 Mark
Assertion : lt is better to wash the clothes in cold soap solution.
Reason : The surface tension of cold solution is more than the surface tension of hot solution.
Answer
(e) The soap solution, has less surface tension as compared to ordinary water and its surface tension decreases further on heating. The hot soap solution can, therefore spread over large surface area and also it has more wetting power. It is on account of this property that hot soap solution can penetrate and clean the clothes better than the ordinary water.
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Question 141 Mark
Assertion : It is easier to spray water in which some soap is dissolved.
Reason : Soap is easier to spread.
Answer
(c) When a liquid is sprayed, the surface area of the liquid increases. Therefore, work has to be done in spraying the liquid, which is directly proportional to the surface tension.Because on adding soap, surface tension of water decreases, the spraying of water becomes easy.
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Question 151 Mark
Assertion : Soft steel can be made red hot by continued hammering on it, but hard steel cannot.
Reason : Energy transfer in case of soft iron is large as in hard steel.
Answer
(a) The rise in temperature of the soft steel is an example of transferring energy into a system by work and having it appear as an increase in the internal energy of the system. This works well for the soft steel because it is soft. This softness results in a deformation of the steel under blow of the hammer. Thus the point of application of the force is displaced by the hammer and positive work is done on the steel. With the hard steel, less deformation occur, thus, there is less displacement of point of application of the force and less work done on the steel. The soft steel is therefore better in absorbing energy from the hammer by means of work and its temperature rises more rapidly.
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Question 161 Mark
Assertion : Mountain roads rarely go straight up the slope.
Reason : Slope of mountains are large therefore more chances of vehicle to slip from roads.
Answer
(a) If roads of the mountain were to go straight up, the slope $\theta$ would have been large, the frictional force $\mu a n g \cos \theta$ would be small. Due to small friction, wheels of vehicle would slip. Also for going up a large slope, a greaterpowershallberequired.
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Question 171 Mark
Assertion : A work done in moving a body over a closed loop is zero for every force in nature.
Reason $\quad$ : Work done does not depend on nature of force.
Answer
(d) Work done in the motion of a body over a closed loop is zero only when the body is moving under the action of conservative forces (like gravitational or electrostatic forces). i.e. work done depends upon the nature of force.
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Question 181 Mark
Assertion : Power of machine gun is determined by both, the number of bullet fired per second and kinetic energy of bullets.
Reason : Power of any machine is defined as work done (by it) per unit time.
Answer
(a) K.E. of one bullet $=k \therefore$ K.E. of $n$ bullet $=n k$According to law of conservation of energy, the kinetic energy of bullets be equal to the work done by machine gun per sec.
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Question 191 Mark
Assertion : In case of bullet fired from gun, the ratio of kinetic energy of gun and bullet is equal to ratio of mass of bullet and gun.
Reason : In firing, momentum is conserved.
Answer
(a) $E=\frac{P^2}{2 m}$. In firing momentum is conserved $\therefore E\propto\frac{1{m$So $\frac{E_{\text {gun }}}{E_{\text {bullet }}}=\frac{m_{\text {bullet }}}{m_{\text {gun}$
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Question 201 Mark
Assertion : If two protons are brought near one another, the potential energy of the system will increase.
Reason : The charge on the proton is $+1.6 \times 10^{-19} \mathrm{C}$.
Answer
(b) If two protons are brought near one another, work has to be done against electrostatic force because same charge repel each other. This work done is stored as potential energy in the system.
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Question 211 Mark
Assertion : Mass and energy are not conserved separately, but are conserved as a single entity called mass-energy.
Reason : Mass and energy conservation can be obtained by Einstein equation for energy.
Answer
(a) From Einstein equation $E=m c^2$it can be observed that if mass is conserved then only energy is conserved and vice versa. Thus, both cannot be treated separately.
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Question 221 Mark
Assertion : Heavy water is used as moderator in nuclear reactor.
Reason : Water cool down the fast neutron.
Answer
(c) When two bodies of same mass undergo an elastic collision, theirvelocitiesgetinterchanged after collision. Water and heavy water are hydrogenic materials containing protons having approximately the same mass as that of a neutron. When fast moving neutrons collide with protons, the neutrons come to rest and protons move with the velocity of that of neutrons.
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Question 231 Mark
Assertion : Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Reason : Potential energy of a stretched or compressed spring, proportional to square of extension or compression.
Answer
(e) Potential energy $U=\frac{1}{2} k x^2$ i.e. $U \propto x^2$This is a equation of parabola, so graph between $U$ and $x$ is a parabola, not straight line.
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Question 241 Mark
Assertion : Wire through which current flows gets heated.
Reason : When current is drawn from a cell, chemical energy is converted into heat energy.
Answer
(c) When we supply current through the cell, chemical reactions takes place, sochemicalenergy of cell is converted into electrical energy. If a large amount of current is drawn from wire for a long time only then wire get heated.
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Question 251 Mark
Assertion : Work done by or against gravitational force in moving a body from one point to another is independent of the actual path followed between the two points.
Reason : Gravitational forces are conservative forces.
Answer
(a) From, definition, work done in moving a body against a conservative force is independent of the path followed.
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Question 261 Mark
Assertion : A quick collision between two bodies is more violent than slow collision, even when initial and final velocities are identical.
Reason : The rate of change of momentum determine that force is small or large.
Answer
(a) In a quick collision, time $t$ is small. As $F \times t=$ constant, therefore, force involved is large, i.e. collision is more violent in comparison to slow collision.
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Question 271 Mark
Assertion : A kinetic energy of a body is quadrupled, when its velocity is doubled.
Reason : Kinetic energy is proportional to square of velocity.
Answer
(a) $K=\frac{1}{2} m v^2 \quad \therefore K \propto v^2$If velocity is doubled then K.E. will be quadrupled.
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Question 281 Mark
Assertion : Power developed in circular motion is always zero.
Reason : Work done in case of circular motion is zero.
Answer
(e) Work done and power developed is zero in uniform circular motion only.
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Question 291 Mark
Assertion : A body cannot have energy without having momentum but it can have momentum without having energy.
Reason : Momentum and energy have same dimensions.
Answer
(d) A body can have energy without having momentum if it possess potential energy but if body possess momentum then it must posses kinetic energy.Momentumandenergyhavedifferentdimensions.
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Question 301 Mark
Assertion : In an elastic collision of two bodies, the momentum and energy of each body is conserved.
Reason : If two bodies stick to each other, after colliding, the collision is said to be perfectly elastic.
Answer
(d) In an elastic collision both the momentum and kinetic energy remains conserved. But this rule is not for individual bodies, but for the systemofbodiesbeforeandafterthecollision.While collision in which there occurs some loss of kinetic energy is called inelastic collision. Collision in daily life are generally inelastic. The collision is saidtobeperfectlyinelastic, if two bodies stick to each other.
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Question 311 Mark
Assertion : When the force retards the motion of a body, the work done is zero.
Reason : Work done depends on angle between force and displacement.
Answer
(e) When the force retards the motion, the work done is negative. Work done depends on the angle between force and displacement $W=F s \cos \theta$
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Question 321 Mark
Assertion : According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in kinetic energy.
Reason : Mechanical energy is not a conserved quantity.
Answer
(c) For conservative forces the sum of kinetic and potential energies at any point remains constant throughout the motion. This is known as law of conservation of mechanical energy. According to this law,Kinetic energy + Potential energy $=$ constant or, $\Delta K+\Delta U=0$ or, $\Delta K=-\Delta U$
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Question 331 Mark
Assertion : The power of a pump which raises $100 \mathrm{~kg}$ of water in $10 \mathrm{sec}$ to a height of $100 \mathrm{~m}$ is $10 \mathrm{KW}$.
Reason : The practical unit of power is horse power.
Answer
(b) The power of the pump is the work done by it per sec.
$\therefore \text { Power }=\frac{\text { work }}{\text { time }}=\frac{m g h}{t}=\frac{100 \times 10 \times 100}{10}$
$=10^4 \mathrm{~W}=10 \mathrm{~kW}$
Also 1 Horse power((hp)=746\mathrm{~W}$.
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Question 341 Mark
Assertion : Water at the foot of the water fall is always at different temperature from that at the top.
Reason : The potential energy of water at the top is converted into heat energy during falling.
Answer
(a) When the water is at the top of the fall it has potential energy $m g h$ (where $m$ is the mass of the water and $h$ is the height of the fall). On falling,thispotentialenergy is converted into kinetic energy, which further converted into heat energy and so temperature of water increases.
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Question 351 Mark
Assertion : The rate of change of total momentum of a many particle system is proportional to the sum of the internal forces of the system.
Reason : Internal forces can change the kinetic energy but not the momentum of the system.
Answer
(e) Rate of change of momentum is proportional to external forces acting on the system. The total momentum of whole system remain constant when no external force is acteduponit.Internal forces can change the kinetic energy of the system.
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Question 361 Mark
Assertion : Comets move around the sun in elliptical orbits. The gravitational force on the comet due to sun is not normal to the comet's velocity but the work done by the gravitational force over every complete orbit of the comet is zero.
Reason : Gravitational force is a non conservative force.
Answer
(c) The gravitational force on the comet due to the sun is a conservative force. Since the work done by a conservative force over a closed path is always zero (irrespective ofthenature of path), the work done by the gravitational forces over every complete orbit of the comet is zero.
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Question 371 Mark
Assertion : A spring has potential energy, both when it is compressed or stretched.
Reason : In compressing or stretching, work is done on the spring against the restoring force.
Answer
(a) The work done on the spring against the restoring force is stored as potential energy in both conditions when it is compressed or stretched.
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Question 381 Mark
Assertion : The change in kinetic energy of a particle is equal to the work done on it by the net force.
Reason : Change in kinetic energy of particle is equal to the work done only in case of a system of one particle.
Answer
(c) Change in kinetic energy = work done by net force.This relationship is valid for particle as well as system of particles.
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Question 391 Mark
Assertion : The instantaneous power of an agent is measured as the dot product of instantaneous velocity and the force acting on it at that instant.
Reason : The unit of instantaneous power is watt.
Answer
(b) $P=\vec{F} \cdot \vec{v}$ and unit of power is Watt.
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Question 401 Mark
Assertion : A light body and heavy body have same momentum. Then they also have same kinetic energy.
Reason : Kinetic energy does not depend on mass of the body.
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Question 411 Mark
Assertion : When a gas is allowed to expand, work done by gas is positive.
Reason : Force due to gaseous pressure and displacement (of piston) are in the same direction.
Answer
(a) Since the gaseous pressure and the displacement(ofpiston)areinthesamedirection.Therefore$\theta=0^{\circ}$$\therefore$ Work done $=F_s \cos \theta=F_s=$ PositiveThus during expansion work done by gas is positive.
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Question 421 Mark
Assertion : Work done by friction on a body sliding down an inclined plane is positive.
Reason : Work done is greater than zero, if angle between force and displacement is acute or both are in same direction.
Answer
(e) When a body slides down on inclined plane,workdonebyfrictionisnegativebecauseitopposesthe motion ( $\theta=180^{\circ}$ between force and displacement)
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Question 431 Mark
Assertion : The work done during a round trip is always zero.
Reason : No force is required to move a body in its round trip.
Answer
(d) In a round trip work done is zero only when the force is conservative in nature.Force is always required to move a body in a conservative or non-conservative field
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Question 441 Mark
Assertion : A person working on a horizontal road with a load on his head does no work.
Reason : No work is said to be done, if directions of force and displacement of load are perpendicular to each other.
Answer
(a) The work done, $W=\vec{F} \cdot s=F s \cos \theta$, when a person walkonahorizontalroad with load on his head then $\theta=90^{\circ}$.Hence $W=F s \cos 90^{\circ}=0$Thus no work is done by the person.
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