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MCQ

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MCQ 11 Mark
On centigrade scale the temperature of a body increases by $30$ degrees. The increase in temperature on Fahrenheit scale is
  • A
    $50^{\circ}$
  • B
    $40^{\circ}$
  • C
    $30^{\circ}$
  • $54^{\circ}$
Answer
Correct option: D.
$54^{\circ}$
(d) Difference of $100^{\circ} \mathrm{C}=$ difference of $180^{\circ} \mathrm{F}$
$\therefore$ Difference of $30^{\circ}=\frac{180}{100} \times 30=54^{\circ}$
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MCQ 21 Mark
An iron bar of length $10 \mathrm{~m}$ is heated from $0^{\circ} \mathrm{C}$ to $100^{\circ} \mathrm{C}$. If the coefficient of linear thermal expansion of iron is $10 \times 10^{-} /{ }^{\circ} \mathrm{C}$, the increase in the length of bar is
  • A
    $0.5 \mathrm{~cm}$
  • $1.0 \mathrm{~cm}$
  • C
    $1.5 \mathrm{~cm}$
  • D
    $2.0 \mathrm{~cm}$
Answer
Correct option: B.
$1.0 \mathrm{~cm}$
(b) Increase in length $\Delta L=L \alpha \Delta \theta$$=10 \times 10 \times 10 \times(100-0)=10 \mathrm{~m}=1 \mathrm{~cm}$
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MCQ 31 Mark
A block of mass $100 \mathrm{gm}$ slides on a rough horizontal surface. If the speed of the block decreases from $10 \mathrm{~m} / \mathrm{s}$ to $5 \mathrm{~m} / \mathrm{s}$, the thermal energy developed in the process is
  • $3.75 \mathrm{~J}$
  • B
    $37.5 \mathrm{~J}$
  • C
    $0.375 \mathrm{~J}$
  • D
    $0.75 \mathrm{~J}$
Answer
Correct option: A.
$3.75 \mathrm{~J}$
(a) According to energy conservation, change in kinetic energy appears in the form of heat (thermal energy).$\begin{aligned}& \Rightarrow \text { i.e. Thermal energy }=\frac{1}{2} m\left(v_1^2-v_2^2\right) \quad[\because \underset{\text { (Joule) }}{W}=\underset{\text {(Joule) }}{Q}] \\& =\frac{1}{2}\left(100 \times 10^{-3}\right)\left(10^2-5^2\right)=3.75 \mathrm{~J}\end{aligned}$
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MCQ 41 Mark
A brass disc fits simply in a hole of a steel plate. The disc from the hole can be loosened if the system
  • A
    First heated then cooled
  • B
    First cooled then heated
  • C
    ls heated
  • Is cooled
Answer
Correct option: D.
Is cooled
(d) Since, the coefficient of linear expansion of brass is greater than that of steel. On cooling, the brass contracts more, so, it get loosened.
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MCQ 51 Mark
A metal rod of silver at $0^{\circ} \mathrm{C}$ is heated to $100^{\circ} \mathrm{C}$. It's length is increased by $0.19 \mathrm{~cm}$. Coefficient of cubical expansion of the silver rod is
  • $5.7 \times 10 \%{ }^{\circ} \mathrm{C}$
  • B
    $0.63 \times 10 \%{ }^{\circ} \mathrm{C}$
  • C
    $1.9 \times 10 \% \mathrm{C}$
  • D
    $16.1 \times 10 \%$
Answer
Correct option: A.
$5.7 \times 10 \%{ }^{\circ} \mathrm{C}$
(a)
$\alpha=\frac{\Delta L}{L_0(\Delta \theta)}=\frac{0.19}{100(100-0)}=1.9 \times 10^{-5} /{ }^{\circ} \mathrm{C}$
Now $\gamma=3 \alpha=3 \times 1.9 \times 10 \%\ { }^{\circ} \mathrm{C}=5.7 \times 10 \%\  \mathrm{C}$
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MCQ 61 Mark
The thermal capacity of a body is $80 \mathrm{cal}$, then its water equivalent is
  • A
    $80 \mathrm{cal} / \mathrm{gm}$
  • B
    $8 \mathrm{gm}$
  • $80 \mathrm{gm}$
  • D
    $80 \mathrm{~kg}$
Answer
Correct option: C.
$80 \mathrm{gm}$
(c) We know that thermal capacity of a body expressed in calories is equal to water equivalent of the body expressed in grams.
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MCQ 71 Mark
The temperature of a body on Kelvin scale is found to be $x K$. When it is measured by Fahrenheit thermometer, it is found to be $x^{\circ} F$, then the value of $x$ is
  • A
    $40$
  • B
    $313$
  • $574.25$
  • D
    $301.25$
Answer
Correct option: C.
$574.25$
(c) $\frac{F-32}{9}=\frac{K-273}{5}$
$ \Rightarrow \frac{x-32}{9}=\frac{x-273}{5} \Rightarrow x=574.25$
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MCQ 81 Mark
A vessel contains $110 \mathrm{~g}$ of water. The heat capacity of the vessel is equal to $10 \mathrm{~g}$ of water. The initial temperature of water in vessel is $10^{\circ} \mathrm{C}$. If $220 \mathrm{~g}$ of hot water at $70^{\circ} \mathrm{C}$ is poured in the vessel, the final temperature neglecting radiation loss, will be
  • A
    $70^{\circ} \mathrm{C}$
  • B
    $80^{\circ} \mathrm{C}$
  • C
    $60^{\circ} \mathrm{C}$
  • $50^{\circ} \mathrm{C}$
Answer
Correct option: D.
$50^{\circ} \mathrm{C}$
(d) Let final temperature of water be $\theta$Heat taken $=$ Heat given
$ 110 \times 1(\theta-10)+10(\theta-10)=220 \times 1(70-\theta) $
$ \Rightarrow \theta=48.8^{\circ} \mathrm{C} \approx 50^{\circ} \mathrm{C} .$
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MCQ 91 Mark
Boiling water is changing into steam. At this stage the specific heat of water is
  • A
    $<1$
  • $\infty$
  • C
    $1$
  • D
    $>1$
Answer
Correct option: B.
$\infty$
(b) $c=\frac{Q}{m \cdot \Delta \theta}$; as $\Delta \theta=0$, hence $c$ becomes $\infty$.
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MCQ 101 Mark
Absolute scale of temperature is reproduced in the laboratory by making use of a
  • A
    Radiation pyrometer
  • B
    Platinum resistance thermometer
  • Constant volume helium gas thermometer
  • D
    Constant pressure ideal gas thermometer
Answer
Correct option: C.
Constant volume helium gas thermometer
(c)
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MCQ 111 Mark
At some temperature $T$, a bronze pin is a little large to fit into a hole drilled in a steel block. The change in temperature required for an exact fit is minimum when
  • Only the block is heated
  • B
    Both block and pin are heated together
  • C
    Both block and pin are cooled together
  • D
    Only the pin is cooled
Answer
Correct option: A.
Only the block is heated
(a) Since coefficient of expansion of steel is greater than that of bronze. Hence with small increase in it's temperature the hole expand sufficiently.
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MCQ 121 Mark
The latent heat of vaporization of a substance is always
  • Greater than its latent heat of fusion
  • B
    Greater than its latent heat of sublimation
  • C
    Equal to its latent heat of sublimation
  • D
    Less than its latent heat of fusion
Answer
Correct option: A.
Greater than its latent heat of fusion
(a) The latent heat of vaporization is always greater than latent heat of fusion because in liquid to vapour phase change there is a large increase in volume. Hence more heat is required as compared to solid to liquid phase change.
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MCQ 131 Mark
$100 \mathrm{gm}$ of ice at $0^{\circ} \mathrm{C}$ is mixed with $100 \mathrm{~g}$ of water at $100^{\circ} \mathrm{C}$. What will be the final temperature of the mixture
  • $10^{\circ} \mathrm{C}$
  • B
    $20^{\circ} \mathrm{C}$
  • C
    $30^{\circ} \mathrm{C}$
  • D
    $40^{\circ} \mathrm{C}$
Answer
Correct option: A.
$10^{\circ} \mathrm{C}$
(a)$\theta_{\text {mix }}=\frac{\theta_W-\frac{L_i}{c_W}}{2}=\frac{100-\frac{80}{1}}{2}=10^{\circ} \mathrm{C}$
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MCQ 141 Mark
Steam is passed into $22 \mathrm{gm}$ of water at $20^{\circ} \mathrm{C}$. The mass of water that will be present when the water acquires a temperature of $90^{\circ} \mathrm{C}$ (Latent heat of steam is $540 \mathrm{cal} / \mathrm{gm}$ ) is
  • $24.8 \mathrm{gm}$
  • B
    $24 \mathrm{gm}$
  • C
    $36.6 \mathrm{gm}$
  • D
    $30 \mathrm{gm}$
Answer
Correct option: A.
$24.8 \mathrm{gm}$
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MCQ 151 Mark
If on heating liquid through $80^{\circ} \mathrm{C}$, the mass expelled is ${(1/100)-}$ of mass still remaining, the coefficient of apparent expansion of liquid is
  • $1.25 \times 10^{-4} . /{ }^{\circ} \mathrm{C}$
  • B
    $12.5 \times 10^{-6} . /{ }^{\circ} \mathrm{C}$
  • C
    $1.25 \times 10^{-3} \%{ }^{\circ} \mathrm{C}$
  • D
    None of these
Answer
Correct option: A.
$1.25 \times 10^{-4} . /{ }^{\circ} \mathrm{C}$
$ \gamma_{\text {app. }}=\frac{\text { Mass expelled }}{\text { Mass remained } \times \Delta T}$
$ =\frac{x / 100}{x \times 80}=\frac{1}{8000}=1.25 \times 10^{-4} /{ }^{\circ} \mathrm{C}$
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MCQ 161 Mark
The correct value of $0^{\circ} \mathrm{C}$ on Kelvin scale will be
  • $273.15 K$
  • B
    $273.00 K$
  • C
    $273.05 K$
  • D
    $273.63 K$
Answer
Correct option: A.
$273.15 K$
(a)
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MCQ 171 Mark
If temperature of an object is $140^{\circ} \mathrm{F}$, then its temperature in centigrade is
  • A
    $105^{\circ} \mathrm{C}$
  • B
    $32^{\circ} \mathrm{C}$
  • C
    $140^{\circ} \mathrm{C}$
  • $60^{\circ} \mathrm{C}$
Answer
Correct option: D.
$60^{\circ} \mathrm{C}$
(d) $\frac{C}{5}=\frac{F-32}{9} \Rightarrow \frac{C}{5}=\frac{140-32}{9} \Rightarrow C=60^{\circ} \mathrm{C}$
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MCQ 181 Mark
Which of the following has maximum specific heat
  • Water
  • B
    Alcohol
  • C
    Glycerine
  • D
    Oil
Answer
Correct option: A.
Water
Water
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MCQ 191 Mark
Latent heat of $1 \mathrm{gm}$ of steam is $536 \mathrm{cal} / \mathrm{gm}$, then its value in joule/ $\mathrm{kg}$ is
  • $2.25 \times 10^6$
  • B
    $2.25 \times 10^3$
  • C
    $2.25$
  • D
    None
Answer
Correct option: A.
$2.25 \times 10^6$
$2.25 \times 10^6$
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MCQ 201 Mark
At what temperature the centigrade (Celsius) and Fahrenheit, readings are the same
  • $-40^{\circ}$
  • B
    $+40^{\circ}$
  • C
    $36.6^{\circ}$
  • D
    $-37^{\circ}$
Answer
Correct option: A.
$-40^{\circ}$
$\frac{C}{5}=\frac{F-32}{9}$
$ \Rightarrow \frac{t}{5}=\frac{t-32}{9}$
$ \Rightarrow t=-40^{\circ}$
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MCQ 211 Mark
A lead ball moving with a velocity $V$ strikes a wall and stops. If $50 \%$ of its energy is converted into heat, then what will be the increase in temperature (Specific heat of lead is $S$ )
  • A
    $\frac{2 V^2}{J S}$
  • $\frac{V^2}{4 J S}$
  • C
    $\frac{V^2}{J}$
  • D
    $\frac{V^2 S}{2 J}$
Answer
Correct option: B.
$\frac{V^2}{4 J S}$
(b) $W=J Q \Rightarrow \frac{1}{2}\left(\frac{1}{2} m V^2\right)=J \times m S \Delta\theta \Rightarrow \Delta \theta=\frac{V^2}{4 J S}$
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MCQ 221 Mark
When the pressure on water is increased the boiling temperature of water as compared to $100^{\circ} \mathrm{C}$ will be
  • A
    Lower
  • B
    The same
  • Higher
  • D
    On the critical temperature
Answer
Correct option: C.
Higher
Higher
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MCQ 231 Mark
A solid substance is at $30^{\circ} \mathrm{C}$. To this substance heat energy is supplied at a constant rate. Then temperature versus time graph is as shown in the figure. The substance is in liquid state for the portion (of the graph)
Image
  • A
    $B C$
  • $C D$
  • C
    $E D$
  • D
    $E F$
Answer
Correct option: B.
$C D$
(b) In the given graph $C D$ represents liquid state.
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MCQ 241 Mark
Water falls from a height of $210 \mathrm{~m}$. Assuming whole of energy due to fall is converted into heat the rise in temperature of water would be $(J=4.3$ Joule $/ \mathrm{cal})$
  • A
    $42^{\circ} \mathrm{C}$
  • B
    $49^{\circ} \mathrm{C}$
  • $0.49^{\circ} \mathrm{C}$
  • D
    $4.9^{\circ} \mathrm{C}$
Answer
Correct option: C.
$0.49^{\circ} \mathrm{C}$
(c) $\Delta \theta=0.0023 h=0.0023 \times 210=0.483^{\circ} \mathrm{C} \approx 0.49^{\circ} \mathrm{C}$.
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MCQ 251 Mark
The coefficient of volumetric expansion of mercury is $18 \times 10 \%{ }^{\circ} \mathrm{C}$. A thermometer bulb has a volume $10 \mathrm{~m}$ and cross section of stem is $0.004 \mathrm{~cm}$. Assuming that bulb is filled with mercury at $0^{\circ} \mathrm{C}$ then the length of the mercury column at $100^{\circ} \mathrm{C}$ is
  • A
    $18.8 \mathrm{~mm}$
  • B
    $9.2 \mathrm{~mm}$
  • C
    $7.4 \mathrm{~cm}$
  • $4.5 \mathrm{~cm}$
Answer
Correct option: D.
$4.5 \mathrm{~cm}$
$ V=V(1+\gamma \Delta \theta) \Rightarrow \text { Change in volume } $
$ V-V_0=\Delta V=A . \Delta l=V_0 \gamma \Delta \theta $
$ \Rightarrow \Delta I=\frac{V_0 \cdot \Delta \theta}{A}=\frac{10^{-6} \times 18 \times 10^{-5} \times(100-0)}{0.004 \times 10^{-4}} $
$ =45 \times 10^m \mathrm{~m}=4.5 \mathrm{~cm}$
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MCQ 261 Mark
The temperature of the sun is measured with
  • A
    Platinum thermometer
  • B
    Gas thermometer
  • Pyrometer
  • D
    Vapour pressure thermometer
Answer
Correct option: C.
Pyrometer
(c) Pyrometer can measure temperature from $800^{\circ} \mathrm{C}$ to $6000^{\circ} \mathrm{C}$. Hence temperature of sun is measured with pyrometer.
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MCQ 271 Mark
Water has maximum density at
  • A
    $0^{\circ} \mathrm{C}$
  • B
    $32^{\circ} \mathrm{F}$
  • C
    $-4^{\circ} \mathrm{C}$
  • $4^{\circ} \mathrm{C}$
Answer
Correct option: D.
$4^{\circ} \mathrm{C}$
(d) Water has maximum density at $4^{\circ} \mathrm{C}$.
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MCQ 281 Mark
During constant temperature, we feel colder on a day when the relative humidity will be
  • $25 \%$
  • B
    $12.5 \%$
  • C
    $50 \%$
  • D
    $75 \%$
Answer
Correct option: A.
$25 \%$
(a) When the relative humidity is low (approx. $25\%$), the evaporation from our body is faster. Thus we feel colder.
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MCQ 291 Mark
Heat required to convert one gram of ice at $0^{\circ} \mathrm{C}$ into steam at$100^{\circ} \mathrm{C}$ is (given $L_{-}=536 \mathrm{cal} / \mathrm{gm}$ )
  • A
    100 calorie
  • B
    0.01 kilocalorie
  • 716 calorie
  • D
    1 kilocalorie
Answer
Correct option: C.
716 calorie
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MCQ 301 Mark
$5 \mathrm{~g}$ of ice at $0^{\circ} \mathrm{C}$ is dropped in a beaker containing $20 \mathrm{~g}$ of water at $40^{\circ} \mathrm{C}$. The final temperature will be
  • A
    $32^{\circ} \mathrm{C}$
  • $16^{\circ} \mathrm{C}$
  • C
    $8^{\circ} \mathrm{C}$
  • D
    $24^{\circ} \mathrm{C}$
Answer
Correct option: B.
$16^{\circ} \mathrm{C}$
(b) For water and ice mixing $\theta_{\text {mix }}=\frac{m_W \theta_W-\frac{m_i L_i}{c_W}}{m_i+m_W}$$=\frac{20 \times 40-\frac{5 \times 80}{1}}{5+20}=16^{\circ} \mathrm{C}$
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MCQ 311 Mark
The volume of a gas at $20^{\circ} \mathrm{C}$ is $100 \mathrm{~cm}$ at normal pressure. If it is heated to $100^{\circ} \mathrm{C}$, its volume becomes $125 \mathrm{~cm}$ at the same pressure, then volume coefficient of the gas at normal pressure is
  • A
    $0.0015 /{ }^{\circ} \mathrm{C}$
  • B
    $0.0045 /{ }^{\circ} \mathrm{C}$
  • C
    $0.0025 /^{\circ} \mathrm{C}$
  • $0.0033 /{ }^{\circ} \mathrm{C}$
Answer
Correct option: D.
$0.0033 /{ }^{\circ} \mathrm{C}$
(d) $\frac{V_1}{V_2}=\frac{1+\gamma t_1}{1+\gamma t_2} \Rightarrow \frac{100}{125}=\frac{1+\gamma \times 20}{1+\gamma \times 100} \Rightarrow \gamma=0.0033 /{ }^{\circ} \mathrm{C}$
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MCQ 321 Mark
The amount of work, which can be obtained by supplying $200 \mathrm{cal}$ of heat, is
  • A
    $840$ dyne
  • B
    $840 \mathrm{~W}$
  • C
    $840$ erg
  • $840 \mathrm{~J}$
Answer
Correct option: D.
$840 \mathrm{~J}$
$W=J Q \Rightarrow W=4.2 \times 200=840 \mathrm{~J}$.
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MCQ 331 Mark
$1 \mathrm{~g}$ of a steam at $100^{\circ} \mathrm{C}$ melt how much ice at $0^{\circ} \mathrm{C}$ ? (Latent heat of ice $=80 \mathrm{cal} / \mathrm{gm}$ and latent heat of steam $=540 \mathrm{cal} / \mathrm{gm}$ )
  • A
    $1 \mathrm{gm}$
  • B
    $2 \mathrm{gm}$
  • C
    $4 \mathrm{gm}$
  • $8 \mathrm{gm}$
Answer
Correct option: D.
$8 \mathrm{gm}$
Suppose $m \mathrm{gm}$ ice melted, then heat required for its melting $=m L=m \times 80 \mathrm{cal}$
Heat available with steam for being condensed and then brought to $0^{\circ} \mathrm{C}$
$=1 \times 540+1 \times 1 \times(100-0)=640 \mathrm{cal}$
$\Rightarrow$ Heat lost $=$ Heat taken$\Rightarrow 640=m \times 80 \Rightarrow m=8 \mathrm{gm}$
Short trick: You can remember that amount of steam $\left(m^{\prime}\right)$ at $100^{\circ} \mathrm{C}$ required to melt $m\mathrm{gm}$ ice at $0^{\circ} \mathrm{C}$ is $m^{\prime}=\frac{m}{8}$.
Here, $m=8 \times m^{\prime}=8 \times 1=8 \mathrm{gm}$
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MCQ 341 Mark
How many grams of a liquid of specific heat $0.2$ at a temperature $40^{\circ} \mathrm{C}$ must be mixed with $100 \mathrm{gm}$ of a liquid of specific heat of $0.5$ at a temperature $20^{\circ} \mathrm{C}$, so that the final temperature of the mixture becomes $32^{\circ} \mathrm{C}$
  • A
    $175 \mathrm{gm}$
  • B
    $300 \mathrm{~g}$
  • C
    $295 \mathrm{gm}$
  • $375 g$
Answer
Correct option: D.
$375 g$
$ \text { Temperature of mixture } \theta=\frac{m_1 c_1 \theta_1+m_2 c_2 \theta_2}{m_1 c_1+m_2 \theta_2}$
$ \Rightarrow 32=\frac{m_1 \times 0.2 \times 40+100 \times 0.5 \times 20}{m_1 \times 0.2+100 \times 0.5} $
$\Rightarrow m_1=375 \mathrm{gm}$
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MCQ 351 Mark
Surface of the lake is at $2^{\circ} \mathrm{C}$. Find the temperature of the bottom of the lake
  • A
    $2^{\circ} \mathrm{C}$
  • B
    $3^{\circ} \mathrm{C}$
  • $4^{\circ} \mathrm{C}$
  • D
    $1^{\circ} \mathrm{C}$
Answer
Correct option: C.
$4^{\circ} \mathrm{C}$
(c) The densest layer of water will be at bottom. The density of water is maximum at $4^{\circ} \mathrm{C}$. So the temperature ofbottom of lake will be $4^{\circ} \mathrm{C}$.
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MCQ 361 Mark
A uniform metal rod is used as a bar pendulum. If the room temperature rises by $10^{\circ} \mathrm{C}$, and the coefficient of linear expansion of the metal of the rod is $2 \times 10^{-}$per ${ }^{\circ} \mathrm{C}$, the period of the pendulum will have percentage increase of
  • A
    $-2 \times 10$
  • B
    $-1 \times 10$
  • C
    $2 \times 10$
  • $1 \times 10$
Answer
Correct option: D.
$1 \times 10$
$1 \times 10$
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MCQ 371 Mark
$0.93$ watt-hour of energy is supplied to a block of ice weighing $10\ g m$. It is found that
  • A
    Half of the block melts
  • B
    The entire block melts and the water attains a temperature of $4^{\circ} \mathrm{C}$
  • The entire block just melts
  • D
    The block remains unchanged
Answer
Correct option: C.
The entire block just melts
Energy supplied $=0.93 \times 3600$ joules $=3348$ joules Heat required to melt $10 \mathrm{gms}$ of ice$=10 \times 80 \times 4.18=3344 \text { joules }$
Hence block of ice just melts.
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MCQ 381 Mark
A bullet moving with a uniform velocity $v$, stops suddenly after hitting the target and the whole mass melts be $m$, specific heat $S$, initial temperature $25^{\circ} \mathrm{C}$, melting point $475^{\circ} \mathrm{C}$ and the latent heat $L$. Then $v$ is given by
  • A
    $m L=m S(475-25)+\frac{1}{2} \cdot \frac{m v^2}{J}$
  • $m S(475-25)+m L=\frac{m v^2}{2 J}$
  • C
    $m S(475-25)+m L=\frac{m v^2}{J}$
  • D
    $m S(475-25)-m L=\frac{m v^2}{2 J}$
Answer
Correct option: B.
$m S(475-25)+m L=\frac{m v^2}{2 J}$
Firstly the temperature of bullet rises up to melting point, then it melts. Hence according to $W=J Q$.
$ \Rightarrow \frac{1}{2} m v^2=J \cdot[m \cdot c \cdot \Delta \theta+m L]=J[m S(475-25)+m L]$
$ \Rightarrow m S(475-25)+m L=\frac{m v^2}{2 J}$
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MCQ 391 Mark
The $S l$ unit of mechanical equivalent of heat is
  • Joule $\times$ Calorie
  • B
    Joule/Calorie
  • C
    Calorie $\times$ Erg
  • D
    Erg/Calorie
Answer
Correct option: A.
Joule $\times$ Calorie
(b) $J=\frac{W}{Q}=\frac{\text { Joule }}{\text { cal }}$
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MCQ 401 Mark
In a water-fall the water falls from a height of $100 \mathrm{~m}$. If the entire K.E. of water is converted into heat, the rise in temperature of water will be
  • $0.23^{\circ} \mathrm{C}$
  • B
    $0.46^{\circ} \mathrm{C}$
  • C
    $2.3^{\circ} \mathrm{C}$
  • D
    $0.023^{\circ} \mathrm{C}$
Answer
Correct option: A.
$0.23^{\circ} \mathrm{C}$
(a) $\Delta \theta=0.0023 h=0.0023 \times 100=0.23^{\circ} \mathrm{C}$
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MCQ 411 Mark
Hailstone at $0^{\circ} \mathrm{C}$ falls from a height of $1 \mathrm{~km}$ on an insulating surface converting whole of its kinetic energy into heat. What part of it will melt $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)$
  • $\frac{1}{33}$
  • B
    $\frac{1}{8}$
  • C
    $\frac{1}{33} \times 10^{-4}$
  • D
    All of it will melt
Answer
Correct option: A.
$\frac{1}{33}$
Suppose $m^{\prime} \mathrm{kg}$ ice melts out of $m \mathrm{~kg}$ then by using
$W=J Q \Rightarrow m g h=J\left(m^{\prime} L\right)$.
Hence fraction of ice melts $[=\frac{m^{\prime}}{m}=\frac{g h}{J L}=\frac{9.8 \times 1000}{4.18 \times 80}=\frac{1}{33}]$
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MCQ 421 Mark
In supplying 400 calories of heat to a system, the work done will be
  • A
    400 joules
  • 1672 joules
  • C
    1672 watts
  • D
    1672 ergs
Answer
Correct option: B.
1672 joules
(b) $W=J Q=4.18 \times 400=1672$ joule
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MCQ 431 Mark
$4200 /$ of work is required for
  • A
    Increasing the temperature of $10 \mathrm{gm}$ of water through $10^{\circ} \mathrm{C}$
  • Increasing the temperature of $100 \mathrm{gm}$ of water through $10^{\circ} \mathrm{C}$
  • C
    Increasing the temperature of $1 \mathrm{~kg}$ of water through $10^{\circ} \mathrm{C}$
  • D
    Increasing the temperature of $10 \mathrm{~kg}$ of water through $10^{\circ} \mathrm{C}$
Answer
Correct option: B.
Increasing the temperature of $100 \mathrm{gm}$ of water through $10^{\circ} \mathrm{C}$
(b) Work done to raise the temperature of $100 \mathrm{gm}$ water through $10^{\circ} \mathrm{C}$ is$W=J Q=4.2 \times\left(100 \times 10^{-3} \times 1000 \times 10\right)=4200 \mathrm{~J}$
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MCQ 441 Mark
At atmospheric pressure, the water boils at $100^{\circ} \mathrm{C}$. If pressure is reduced, it will boil at
  • A
    Higher temperature
  • Lower temperature
  • C
    At the same temperature
  • D
    At critical temperature
Answer
Correct option: B.
Lower temperature
(b) When pressure decreases, boiling point also decreases.
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MCQ 451 Mark
Work done in converting one gram of ice at $-10^{\circ} \mathrm{C}$ into steam at $100^{\circ} \mathrm{C}$ is
  • $3045 \mathrm{~J}$
  • B
    $6056 \mathrm{~J}$
  • C
    $721 \mathrm{~J}$
  • D
    $616 J$
Answer
Correct option: A.
$3045 \mathrm{~J}$
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MCQ 461 Mark
$300 \mathrm{gm}$ of water at $25^{\circ} \mathrm{C}$ is added to $100 \mathrm{gm}$ of ice at $0^{\circ} \mathrm{C}$. The final temperature of the mixture is
  • A
    $-\frac{5}{3}{ }^{\circ} \mathrm{C}$
  • B
    $-\frac{5}{2}{ }^{\circ} \mathrm{C}$
  • $-5^{\circ} \mathrm{C}$
  • D
    $0^{\circ} \mathrm{C}$
Answer
Correct option: C.
$-5^{\circ} \mathrm{C}$
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MCQ 471 Mark
A liquid boils when its vapour pressure equals
  • The atmospheric pressure
  • B
    Pressure of $76.0 \mathrm{~cm}$ column of mercury
  • C
    The critical pressure
  • D
    The dew point of the surroundings
Answer
Correct option: A.
The atmospheric pressure
(a)
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MCQ 481 Mark
The mechanical equivalent of heat $J$ is
  • A
    A constant
  • B
    A physical quantity
  • A conversion factor
  • D
    None of the above
Answer
Correct option: C.
A conversion factor
(c) 'f is a conversion
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MCQ 491 Mark
The height of a waterfall is 84 metre. Assuming that the entire kinetic energy of falling water is converted into heat, the rise in temperature of the water will be$\left(g=9.8 \mathrm{~m} / \mathrm{s}^2, J=4.2 \text { joule } / \mathrm{cal}\right)$
  • $0.196^{\circ} \mathrm{C}$
  • B
    $1.960^{\circ} \mathrm{C}$
  • C
    $0.96^{\circ} \mathrm{C}$
  • D
    $0.0196^{\circ} \mathrm{C}$
Answer
Correct option: A.
$0.196^{\circ} \mathrm{C}$
$ W=J Q \Rightarrow m g h=J(m . c . \Delta \theta) $
$ \Rightarrow \Delta \theta=\frac{g h}{J c}=0.0023 h=0.0023 \times 84=0.196^{\circ} \mathrm{C}$
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MCQ 501 Mark
5 litre of benzene weighs
  • A
    More in summer than in winter
  • More in winter than in summer
  • C
    Equal in winter and summer
  • D
    None of the above
Answer
Correct option: B.
More in winter than in summer
(b) Similar to previous question, benzene contracts in winter. So 5 litre of benzene will weigh more in winter than in summer.
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MCQ - JEE physics STD 12 Science Questions - Vidyadip