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Physics NEET MCQ
Quiz 8
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Q.1
The ends of two rods of different materials with their thermal conductivities, radii of cross-sections and lengths all are in ratio 1 : 2 are maintained at the same temperature difference. If the rate of flow of heat in the larger rod is 4 cal/sec, then in the shorter rod in cal/sec will be [ EAMCET 1986]
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a) 1
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b) 2
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c) 8
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d) 16
Explanation
Given d1=2d2radii r1=2r2 ∴ A1=4A2k1=2k2 formula for rate of flow of heat Answer: (a)
Q.2
A cylindrical rod with one in a steam chamber and the other end in ice results in melting of 0.1gm of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is (1/4) that of first, the rate at which ice melts in gm/sec will be [ EAMCET 1987]
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a)3.2
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b) 1.6
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c)0.2
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d)0.1
Explanation
Rate at which heat flows in rod=rate at which ice receives heat Here L is latent heat offusion for ice L=80For longer rod For shorter rod By taking ratio of above equation we get 0.1/m=1/2 m=0.2 gm Answer: (c)
Q.3
Two spheres of different materials, one with double the radius and one-fourth wall thickness of the other, are filled with ice. If the time taken for complete melting of ice in the larger radius one is 25 minutes and that for smaller one in 16 minutes, the ratio of thermal conductivities of the materials of larger sphere to the smaller sphere is [ EAMCET 1991]
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a) 4 : 5
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b) 5 : 4
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c)25 : 8
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d)8 : 25
Explanation
Amount of heat conducted through sphere=amount of heat absorbed by ice for melting . If L is the latent heat of melting, ρ is density of ice, V is volume of sphere Smaller sphere:Large sphere :r2=2 r1d2=¼ d1Taking the ratio of above equationsk2 / k1=8 : 25Answer: (d)
Q.4
One end of a copper rod of length 1.0m and area of cross-section 10-3 m2 is immersed in boiling water and the other end in ice. If the coefficient of thermal conductivity of copper is 92 cal/m/s/°C and the latent heat of ice is 8×104 cal/kg, then the amount of ice which will melt in one minute is [ MNR 1994]
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a) 9.2 × 10⁻³ kg
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b) 8 × 10⁻³ kg
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c) 6.9 × 10⁻³ kg
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d) 5.4 × 10⁻³ kg
Explanation
Amount of heat conducted by rod = amount of heat absorbed by ice to melt L is the latent heat of fusion, m be the mass of ice melt then Answer:(c)
Q.5
Which of the following statement is wrong [ MPPMT 1993]
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a) Stefan's constant is the same for all black bodies
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b) Thermal radiations travel with the speed of 3×108 m/s
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c) Thermal radiations exhibits diffraction
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d) Stefan's law is applicable for all heated bodies
Explanation
Answer: (d)
Q.6
A sphere, a cube and a thin circular plate all made of the same material and having the same mass are heated to the same temperature of 200°C when these are left in room [ MPPMT 1993]
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a) the sphere reaches room temperature last
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b) the cube reaches room temperature last
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c) the circular plate reaches room temperature last
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d) all will reach the room temperature simultaneously
Explanation
Rate of cooling depends on surface area, sphere have smallest area for given voume Answer: (a)
Q.7
A piece of metal and a piece of wood are kept in a room at room temperature which is 45°C. On touching the two with hand [ MPPET 1993]
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a) the two will appear equally hot
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b) the piece of wood will appear hotter than the piece of metal
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c) the piece of metal will appear hotter than the piece of wood
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d) the distinction in the hotness will not be possible
Explanation
Answer: (c)
Q.8
An electric heater, kept in vacuum is heated continuously by passing electric current. Its temperature will [ MPPMT 1993]
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a) go on rising with time
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b) stop rising after some time as it will lose heat to the surrounding by conduction
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c) will rise for some time and thereafter will start falling
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d) will become constant after some time due to loss of heat by radiation
Explanation
Answer:(d)
Q.9
At specific temperature, the energy densities for black body for three different wavelengths are 10,19 and 7 units. For these wavelengths if the absorption coefficient of a body is respectively 0.8, 0.3 and 0.9, then the emissive power of this body for these wave-lengths are in the ratio
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a) 10 : 19 : 7
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b) 8 : 3 : 9
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c) 8 : 5.7 : 6.3
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d) 8 : 95 : 4.3
Explanation
According to Kirchoff's "law at any temperature and for particular wave length the ratio of the emissive power to the absorptive power of all substance is same and equal to the emissive power of perfectly black body" Thus Answer: (b)
Q.10
On investigation of light from three different stars A, B, and C it was found that in the spectrum of A, the intensity of red colour is maximum, in B, the intensity of blue colour is maximum. and in C the intensity of yellow colour is maximum. From these observations it can be concluded that [ CPMT 1989]
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a) the temperature of A is maximum, B is minimum and C is intermediate
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b) the temperature of A is maximum, C is minimum and B is intermediate
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c) the temperature of B is maximum, A is minimum and C is intermediate
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d) the temperature of C is maximum, B is minimum and A is intermediate
Explanation
Answer: (c)
Q.11
A blackened metal foil is warmed by radiation from a point source whose temperature is T and distance from the foil is d. It is found that the power received from the foil is P. If both the temperature and distance are doubled, the power received by the foil will be [ MPPMT 1997]
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a) P
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b) 2P
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c) 4P
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d) 16P
Explanation
Power P ∝T4 / d2 P' ∝ (2T)4 / (2d)2 By taking ratio of P' and P P' = 4P Answer: (c)
Q.12
Three rods of identical area of cross-section and made from the same metal, from the sides of an isosceles triangle ABC, right-angled at B. The points A and B are maintained at temperature T and (√2) T, respectively. in the steady state, the temperature of the part C is Tc. Assuming that only heat conduction takes place Tc / T is [ IIT 1995]
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a)
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b)
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c)
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d)
Explanation
For steady state HBA = HAC Answer:(a)
Q.13
If the colour of star is changing from red to blue it means [ RajPMT 1996]
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a) The star is going away from the earth
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b) The star is coming near the earth
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c) The star is stationary
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d) Non of the above
Explanation
Answer: (b)
Q.14
If a liquid is heated in space under no gravity , the transfer of heat will take place by process of [ Raj.PMT 1996]
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a) conduction
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b) convection
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c) Radiation
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d) Cannot be heated in absence of gravity
Explanation
Answer: (c)
Q.15
A body radiates energy 5W at temperature of 127°. If the temperature is increased to 927 °C then it radiates energy at the rate of [ BHU 1995]
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a) 410 W
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b) 81 W
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c) 405 W
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d) 200W
Explanation
E ∝ T4 E ∝ (127+273)4 E ∝ (400)4 eq(1) E' ∝ (927+273)4 E' ∝ (1200)4 eq(2) from equation 1 and equation 2 we get E' = E( 1200 /400 ) 4 E' = 5×81 = 405 w Answer:(c)
Q.16
If the temperature of sun is doubled [ raj. PMT 1996]
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a) Emission will become four times
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b) Emission will become double
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c) Mainly it will emit ultra violet radiations
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d) Mainly it will emit infra red radiations
Explanation
Answer: (c)
Q.17
Two rods of same length and material transfers given amount of heat in 12 sec, when they are joined end to end. But when they are joined lengthwise, then they will transfer same heat in same conditions in [ BHU 1998]
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a) 24 sec
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b) 3 sec
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c) 1.5 sec
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d) 48 sec
Explanation
Amount of heat transferred Q ∝ At/d Q is same in both the cases, lenth becomes half and area becomes doubled of initial Answer: (b)
Q.18
A metal ball immersed in alcohol weighs W1 at 0°C and W2 at 95°C. the coefficient of cubical expansion of the metal is less than that of alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that [ CPMT 1998]
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a) W1 > W2
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c) W1 < W2
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b) W₁ = W₂
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d) W₂ = W₁ /2
Explanation
At 59°C, the density of alcohol decreases, therefore upthrust decreases and apparent weight increases W2 > W1. Answer:(c)
Q.19
Two rods of lengths l1 and l2 are made of materials whose coefficients of linear expansions are α1 and αIf the difference between the two lengths is independent of temperature [ EAMCET 1995]
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a)
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b)
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c)
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d)
Explanation
Given l2 - l1 = constant ∴ Δl2 = Δl1 α1l1Δθ = α2l2Δθ l1 / l2 = α2 / α1 Answer: (b)
Q.20
The temperature of an isotropic cubical solid of length L, density d and coefficient of expansion α per degree Kelvin, is raised by 10°C. Then, at this temperature, to a good approximation ..[ IIT 1995]
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a) Lengt is L(1 +10α)
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b) Total surface area is L2 ( 1 +20α)
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c) density is d (1 + 30α)
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d) density is d/(1+30α)
Explanation
From formula Lt = L0( 1 +αt) Lt = L0( 1 + 10t) Answer: (a)
Q.21
A ring shaped piece of metal is heated . If the material expands, the hole will [ EAMCET 1994]
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a) expand
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b) contract
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c) expand or contracts depending on the width of ring
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d) expand or contract depending on the value of the coefficient of expansion
Explanation
Answer: (a)
Q.22
A beaker is filled with water at 4°C. At one time the temperature is increased by few degrees above 4°C and at another time it is decreased by few degree below 4°C. One shall observe that
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a) the level remains constant in each case
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b) water overflows in both cases
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c) water overflows in the latter case, while its level comes down in the previous case
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d) in previous case water overflows while in latter case its level comes down
Explanation
Answer: (b)
Q.23
A container of volume 1 m3 is divided into two equal compartments by a partition. One of these compartments contains an ideal gas at 300K. The other compartment is vacuum. The whole system is thermally isolated from its surroundings. The partition is removed and gas expands to occupy the whole volume of the container. It temperature now would be ..[ UGET 1995]
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a) 300 K
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b) 250K
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c) 200 K
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d) 100 K
Explanation
This is free expansion therefore temperature remains unchanged. Answer: (a)
Q.24
A long cylindrical vessel of volume V and linear coefficient of expansion α contains a liquid. The level of liquid has not changed then coefficient of cubical expansion of liquid is .. [ EAMCET 1986]
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a) (V -α) / V
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b) (V + α) / V
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c) V / (V -α)
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d) 3α
Explanation
If γ is coefficient of cubical expansion of liquid then ΔV = γVt Comparing equations we get γ = 3α Answer:(d)
Q.25
A bimetallic strip having two strips each of thickness 'd' are heated by Δt°C. If their coefficient of linear expansions are α1 and α2 respectively, then on heating they will bend in the form of arc whose radius is
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a)
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b)
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c)
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d)
Explanation
Initial length of strips is lLet bimetallic strip bend by angle θ Let l1 the length of first strip after heating let R1 be the radius of arc for metal 1thus θ=l1 / R1similarly for second metal θ=l2 / R2l2 - l1=(R2 - R1 )θl(1+α1Δt) - l(1 +α2Δt)=(R2 -R1 )θR1 - R2=dl(α1 - α2)Δt=dθ(α1 - α2)Δt / d=θ / l (α2 - α1)Δt / d=R Answer: (a)
Q.26
The moment of inertia of an object is l and the coefficient of linear expansion is α. If the temperature of the object is changed by Δθ , then the change in its moment of inertia is
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a) αlΔθ
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b) 2αlΔθ
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c)4αlΔθ
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d)αlΔθ/2
Explanation
Moment of inertia I=ML2ΔI=2MLΔL Δ I=2MLαLΔθ Δ I=2Iα(Δθ)Answer: (b)
Q.27
A sphere of density ρ, specific heat capacity c and radius r, is hung by a thermally insulated thread in an enclosure which is kept at lower temperature than the sphere. the temperature of the sphere starts to drop at the rate which depends up on the temperature difference between the sphere and the enclosure and the nature of the surface of the sphere and is proportional to ..
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a) c/ r3ρ
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b) 1 / r3ρc
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c) 3r3ρc
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d) 1 / rρc
Explanation
Energy lost is due to radiation thus Answer: (d)
Q.28
The following four wires are made of the samematerial. Which of these will have the largestextension when the same tension is applied?
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a) Length = 50 cm, diameter = 0.5 mm
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b) Length = 100 cm, diameter = 1 mm
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c) Length = 200 cm, diameter = 2 mm
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d) Length = 300 cm, diameter = 3 mm
Explanation
Since wires are made of same Young modulus is same Given same tension applied or F is same Ratio of l/d2 is largest for option (a) Answer:(a)
Q.29
The wettability of a surface by a liquid dependsprimarily on
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a) Viscosity
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b) Surface tension
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c) Density
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d) Angle of contact between the surface and theliquid
Explanation
If angle of contact > 90, liquid rise in capillary , if less than 90O liquid fall down in capillary. Answer:(d)
Q.30
Copper of fixed volume 'V' is drawn intowireof length 'L '.When thiswire is subjected to aconstant force 'F', the extension produced in the wire in 'ΔL '.Which of the following graphsis a straight line?[ AIMPT 2014]
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a) ΔL versus 1/L2
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b) ΔL versus L
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c) ΔL versus 1/L
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d) ΔL versus L2
Explanation
As Volume of rod is fixed A depends on length of rod V = A×L A = V/L, substituting value of A in above Young’s modulus equation Thus ΔL versus L2 gives straight line Answer:(d)
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