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The two rods shown in following figure  have identical geometrical dimensions. They are in contact with two heat baths at temperatures 100°C and 0°C. The temperature of the junction is 70°C. Find the temperature of the junction if the rods are interchanged.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

The three rods shown in figure  have identical geometrical dimensions. Heat flows from the hot end at a rate of 40 W in the arrangement (a). Find the rates of heat flow when the rods are joined as in arrangement (b) and in (c). Thermal condcutivities of aluminium and copper are 200 W m−1°C−1 and 400 W m−1°C−1 respectively.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

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Seven rods A, B, C, D, E, F and G are joined as shown in the figure. All the rods have equal cross-sectional area A and length l. The thermal conductivities of the rods are KA = KC = K0, KB = KD = 2K0, KE = 3K0, KF = 4K0 and KG = 5K0. The rod E is kept at a constant temperature T1 and the rod G is kept at a constant temperature T2 (T2 > T1). (a) Show that the rod F has a uniform temperature T = (T1 + 2T2)/3. (b) Find the rate of heat flowing from the source which maintains the temperature T2.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Find the rate of heat flow through a cross section of the rod shown in figure (28-E10) (θ2 > θ1). Thermal conductivity of the material of the rod is K.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

A rod of negligible heat capacity has length 20 cm, area of cross section 1.0 cm2 and thermal conductivity 200 W m−1°C−1. The temperature of one end is maintained at 0°C and that of the other end is slowly and linearly varied from 0°C to 60°C in 10 minutes. Assuming no loss of heat through the sides, find the total heat transmitted through the rod in these 10 minutes.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

A hollow metallic sphere of radius 20 cm surrounds a concentric metallic sphere of radius 5 cm. The space between the two spheres is filled with a nonmetallic material. The inner and outer spheres are maintained at 50°C and 10°C respectively and it is found that 100 J of heat passes from the inner sphere to the outer sphere per second. Find the thermal conductivity of the material between the spheres.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

Two bodies of masses m1 and m2 and specific heat capacities s1 and s2 are connected by a rod of length l, cross-sectional area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t = 0, the temperature of the first body is T1 and the temperature of the second body is T2 (T2 > T1). Find the temperature difference between the two bodies at time t.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

An amount n (in moles) of a monatomic gas at an initial temperature T0 is enclosed in a cylindrical vessel fitted with a light piston. The surrounding air has a temperature Ts (> T0) and the atmospheric pressure is Pα. Heat may be conducted between the surrounding and the gas through the bottom of the cylinder. The bottom has a surface area A, thickness x and thermal conductivity K. Assuming all changes to be slow, find the distance moved by the piston in time t.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

A spherical ball of surface area 20 cm2 absorbs any radiation that falls on it. It is suspended in a closed box maintained at 57°C. (a) Find the amount of radiation falling on the ball per second. (b) Find the net rate of heat flow to or from the ball at an instant when its temperature is 200°C. Stefan constant = 6.0 × 10−8 W m−2 K−4.

[10] Thermal Properties of Matter
Chapter: [10] Thermal Properties of Matter
Concept: undefined >> undefined

A lift is coming from 8th floor and is just about to reach 4th floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?

[3] Motion in a Plane
Chapter: [3] Motion in a Plane
Concept: undefined >> undefined

A graph of x versus t is shown in figure. Choose correct alternatives from below.

  1. The particle was released from rest at t = 0.
  2. At B, the acceleration a > 0.
  3. At C, the velocity and the acceleration vanish.
  4. Average velocity for the motion between A and D is positive.
  5. The speed at D exceeds that at E.
[3] Motion in a Plane
Chapter: [3] Motion in a Plane
Concept: undefined >> undefined

Give example of a motion where x > 0, v < 0, a > 0 at a particular instant.

[3] Motion in a Plane
Chapter: [3] Motion in a Plane
Concept: undefined >> undefined

An object falling through a fluid is observed to have acceleration given by a = g – bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?

[3] Motion in a Plane
Chapter: [3] Motion in a Plane
Concept: undefined >> undefined

While watering a distant plant, a gardener partially closes the exit hole of the pipe by putting his finger on it. Explain why this results in the water stream going to a larger distance.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

At Deoprayag (Garwal, UP) river Alaknande mixes with the river Bhagirathi and becomes river Ganga. Suppose Alaknanda has a width of 12 m, Bhagirathi has a width of 8 m and Ganga has a width of 16 m. Assume that the depth of water is same in the three rivers, Let the average speed of water in Alaknanda be 20 km/h and in Bhagirathi be 16 km/h. Find the average speed of water in the river Ganga.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Water flows through a tube shown in figure. The area of cross section at A and B are 1 cm2 and 0.5 cm2 respectively. The height difference between A and B is 5 cm. If the speed of water at A is 10 cm s find (a) the speed at B and (b) the difference in pressures at A and B.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Water flows through a horizontal tube as shown in figure. If the difference of heights of water column in the vertical tubes is 2 cm, and the areas of cross section at A and B are 4 cm2 and 2 cm2 respectively, find the rate of flow of water across any section.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Water flows through the tube shown in figure. The areas of cross section of the wide and the narrow portions of the tube are 5 cm2 and 2 cm2 respectively. The rate of flow of water through the tube is 500 cm3 s−1. Find the difference of mercury levels in the U-tube.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters 2.5 cm and 3.75 cm. The ratio of the velocities in the two pipes is ______.

[9] Mechanical Properties of Fluids
Chapter: [9] Mechanical Properties of Fluids
Concept: undefined >> undefined

Can you accelerate a car on a frictionless horizontal road by putting more petrol in the engine? Can you stop a car going on a frictionless horizontal road by applying brakes?

[4] Laws of Motion
Chapter: [4] Laws of Motion
Concept: undefined >> undefined
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