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SECTION – I (40 Marks)
Attempt all question from this Section.
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Ques 1.
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2 X 5 = 10
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a)
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How is force related to the momentum of a body?
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b)
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What is the weight of a body placed at the center of earth?
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i.
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What is the direction of the force?
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ii.
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What is the principle of an ideal machine?
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c)
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A cook uses a ‘fire tong’ of length $28 mathrm{~cm}$ to lift a piece of burning coal of mass $250 mathrm{~g}$. If he applies his effort at a distance of $7 mathrm{~cm}$ from the fulcrum, what is the effort in S.I. unit?
Take $mathrm{g}=10 mathrm{~m} / mathrm{s}^{2}$.
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d)
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i.
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What do you mean by equilibrium of bodies?
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ii.
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State two conditions for equilibrium.
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e)
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An engine of power $200 mathrm{~W}$, operates for $4 mathrm{~s}$, find the work done by the engine. If the force developed by the engine is $100 mathrm{~N}$, calculate the maximum displacement caused.
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Ques 2.
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2 X 5 = 10
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a)
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An erect, diminished and virtual image is formed when an object is placed between the optical center and principal focus of a lens.
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i.
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Name the type of lens which forms the above image.
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ii.
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Draw a ray diagram to show the formation of the image with the above characteristics.
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b)
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Draw a ray diagram to illustrate, how a ray of light incident obliquely on one face of a rectangular glass slab of uniform thickness, emerges parallel to its original direction? Mention, which pairs of angles are equal?
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c)
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Name any four regions of electromagnetic spectrum (other than visible light) in increasing order of wavelength.
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d)
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On which day, a hot day or a cold day, an echo is heard sooner? Give reason for your
answer.
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e)
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i.
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What name is given to sound waves of frequencies higher than $20 mathrm{kHz}$ ?
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ii.
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What name is given to the repetition of sound caused by the reflection of sound
waves?
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Ques 3.
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2 X 5 = 10
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a)
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An observer stands at a distance of $850 mathrm{~m}$ from a cliff and fires a gun. After what time gap will he hear the echo, if sound travels at a speed of $350 mathrm{~ms}^{-1}$ in air?
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b)
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You have just paid the electricity bill for your house:
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i.
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What was it that your family consumed for which you had to pay?
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ii.
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In what unit was it measured?
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c)
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Why is the filament of the electric iron or electric kettle put between mica sheets?
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d)
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Explain briefly, how a fuse protects an electric circuit?
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e)
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Is the specific heat of ice same as that of water?
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Ques 4.
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2 X 5 = 10
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a)
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i.
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Name one factor which affects the frequency of sound emitted due to vibrations in an air column.
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ii.
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Name the unit used for measuring the sound level.
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b)
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What do you understand by the following statements:
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i.
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The heat capacity of the body is $60 mathrm{JK}^{-1}$.
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ii.
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The specific heat capacity of lead is $130 mathrm{~J} mathrm{~kg}^{-1} mathrm{~K}^{-1}$.
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c)
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Calculate the energy released when a mass of $1 mathrm{~kg}$ is completely converted into energy. (Velocity of light is $3 times 10^{8} mathrm{~m} / mathrm{s}$ )
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d)
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What arc isotones? Give an example.
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e)
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An element $X$ changes to another element $Y$ with the emission of beta particles. Write
down the equation showing changes in the nucleus. Take the proton number and mas. number of $mathrm{X}$, as $mathrm{Z}$ and $mathrm{A}$ respectively.
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Section – II [40 marks]
Attempt any four questions from them.
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Ques 5.
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a)
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Define:
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3
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i.
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Work
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ii.
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Power
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iii.
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Energy
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b)
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3
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i.
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Define the S.I. unit of force.
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ii.
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How is work done related to the applied force?
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iii.
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By what factor does the kinetic energy of a moving body change when its speed is reduced to half?
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c)
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i.
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From the ground floor, a man comes up to the fourth floor of a building using the
staircase. Another person comes up to the same floor using an elevator. Neglecting
friction, compare the work done in the two cases.
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2
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ii.
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A boy weighing $40 mathrm{kgf}$ climbs up a stair of 30 steps each $20 mathrm{~cm}$ high in 4 minutes and a girl weighing 30 kgf does the same in 3 minutes. Compare:
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2
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(a)
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The work done by them.
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(b)
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The power developed by them.
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Ques 6.
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a)
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A ray of light falls normally on a glass slab.
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3
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i.
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Draw diagram showing the path of the ray till it emerges out of the slab.
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ii.
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What is the angle of incidence?
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iii.
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What is the angle of refraction at each surface of slab?
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b)
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A ray of light in passing from one transparent medium to the other medium having
different optical density, bends.
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3
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i.
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Name the phenomenon. Give reason for it.
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ii.
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How do the following quantities change: speed, wavelength, frequency and amplitude if the second medium is denser than the first medium?
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iii.
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State whether the ray of light will bend or not, if both medium have same optical densities.
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c)
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The diagram below shows a lens as a combination of glass block and two prisms. Copy
the diagram and answer the following questions:
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4
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i.
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Name the lens formed by the combination.
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ii.
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What is the line XY called?
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iii.
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Complete the ray diagram and show the path of the incident ray $mathrm{AB}$ after passing through the lens.
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iv.
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The final emergent ray will either meet XY at a point or appear to come from a point on XY. What is the point called?
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Ques 7.
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a)
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The stem of a vibrating tuning fork is pressed against a table top.
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i.
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Will it produce an audible sound?
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1
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ii.
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Does it cause the table top to set in vibrations? If yes, what type of vibration are
they?
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2
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iii.
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Under what condition does it lead to resonance?
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1
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b)
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What are damped vibrations? How do they differ from natural vibrations? Give one example
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3
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c)
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i.
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(a)
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A certain sound has a frequency of 256 hertz and a wavelength of $1-3 mathrm{~m}$. Calculate the speed with which the sound travels.
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(b)
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What difference would be felt by a listener between this sound and another sound travelling at the same speed but of wavelength $2-6 mathrm{~m} ?$
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1
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ii.
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What change, if any, would you expect in the characteristics of a musical sound when we increase:
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(a)
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Its frequency,
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(b)
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Its amplitude.
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Ques 8.
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a)
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Four cells, each of e.m.f. $2 mathrm{~V}$ and internal resistance $2 Omega$ are connected in parallel, to form battery. The battery is connected to external resistance of $2.5 Omega$ and two resistance of $6 Omega$ and $3 Omega$ in parallel. Draw a circuit diagram and answer:
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3
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i.
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What is current in the main circuit?
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ii.
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What is current in $6 Omega$ wire?
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iii.
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What is the drop in potential?
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b)
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In an experiment of verification of Ohm’s law, following observations are obtained:
V (in V)
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0.5
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1.0
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1.5
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2.0
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2.5
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I (in A)
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0.2
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0.4
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0.6
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0.8
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1.0
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3
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i.
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Draw a graph between $mathrm{V}$ and $mathrm{I}$.
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ii.
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Calculate potential difference $mathrm{V}$ when the current $mathrm{I}$ is $0.5 mathrm{~A}$.
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iii.
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Calculate current I when the potential difference $V$ is $0.75 mathrm{~V}$.
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c)
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i.
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Explain briefly the functions of the following in the household wiring:
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2
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(a)
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A three – pin plug
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(b)
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Main switch
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ii.
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2
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(a)
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What is the relation between the volt, the joule and the coulomb?
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(b)
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A cell has an e.m.f. of ‘E’ in volt and internal resistance of ‘r’ in ohm. When
resistance of $2 Omega$ and $5 Omega$ are connected in turn, across its terminals, current of $0.5$
$A$ and $0.25 A$ respectively pass through the circuit. Calculate the value of $E$ and $r$.
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Ques 9.
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a)
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i.
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Define temperature of a substance. State its S.I. unit.
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ii.
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Give one example each where high heat capacity of water is used:
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(a)
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In cooling
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(b)
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As heat reservoir
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b)
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$400 mathrm{~g}$ of water at $50.5^{circ} mathrm{C}$ is coold down to $10^{circ} mathrm{C}$ by adding $mathrm{m} mathrm{g}$ of ice cubes at $0^{circ} mathrm{C}$ in it. Find $m$. take specific heat capacity of water $=4.2 mathrm{Jg}^{-1}{ }^{circ} mathrm{C}^{-1}$ and specific latent heat of ice $=336 mathrm{Jg}^{-1} .$
</t d> |
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c)
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i.
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The temperature recorded by a thermometer decreases when its bulb is covered with
a piece of cloth soaked in spirit. Explain why?
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ii.
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A bucket contains $8 mathrm{~kg}$ of water at ${ }^{circ} mathrm{C} .2 mathrm{~kg}$ of water at $80^{circ} mathrm{C}$ pured into it. Neglecting the heat absorbed by the bucket, calculate the final temperature of the water.
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Ques 10.
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a)
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An atomic nucleus $mathrm{A}$ is composed of 84 protons and 128 neutrons.
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i.
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The nucleus A emits an alpha particle and is transformed into a nucleus $mathrm{B}$. What is the composition of the nucleus $mathrm{B}$?
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ii.
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The nucleus $mathrm{B}$ emits a beta particle and is transformed into a nucleus $mathrm{C}$. What is the composition of the nucleus $mathrm{C}$ ?
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iii.
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Does the composition of nucleus $mathrm{C}$ change if it emits gamma radiations?
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b)
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What is a nuclear reactor? What is meant by enrichment of nuclear fuel? When does a
nuclear reactor become critical?
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c)
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i.
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Name the technique used to estimate the age of very old trees, plants, wood and
other such specimens. Name the isotope that forms the basis of this technique.
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ii.
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Describe briefly, two properties each of alpha particles and gamma radiations.
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