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Q. No.A bimetallic strip is made of aluminium and steel \(\left(\alpha_{A l}>\alpha_{\text {steet }}\right)\). On heating, the strip will:
| 1. | remain straight. |
| 2. | get twisted. |
| 3. | will bend with aluminium on the concave side. |
| 4. | will bend with steel on the concave side. |
Subtopic: Thermal Expansion |
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A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly:
| 1. | its speed of rotation increases. |
| 2. | its speed of rotation decreases. |
| 3. | its speed of rotation remains same. |
| 4. | its speed increases because its moment of inertia increases. |
Subtopic: Thermal Expansion |
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The graph between two temperature scales \(A\) and \(B\) is shown in the figure. Between upper fixed point and lower fixed point there are \(150\) equal division on scale \(A\) and \(100\) on scale \(B.\) The relationship for conversion between the two scales is given by:
1. \(\dfrac{t_A-180}{100}=\dfrac{t_B}{150} \)
2. \(\dfrac{t_A-30}{150}=\dfrac{t_B}{100} \)
3. \(\dfrac{t_B-180}{150}=\dfrac{t_A}{100} \)
4. \(\dfrac{t_B-40}{100}=\dfrac{t_A}{180}\)
1. \(\dfrac{t_A-180}{100}=\dfrac{t_B}{150} \)
2. \(\dfrac{t_A-30}{150}=\dfrac{t_B}{100} \)
3. \(\dfrac{t_B-180}{150}=\dfrac{t_A}{100} \)
4. \(\dfrac{t_B-40}{100}=\dfrac{t_A}{180}\)
Subtopic: Temperature and Heat |
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An aluminium sphere is dipped into water. Which of the following is true?
| 1. | Buoyancy will be less in water at \(0^{\circ}\text{C}\) than that in water at \(4^{\circ}\text{C}\). |
| 2. | Buoyancy will be more in water at \(0^{\circ}\text{C}\) than that in water at \(4^{\circ}\text{C}\). |
| 3. | Buoyancy in water at \(0^{\circ}\text{C}\) will be same as that in water at \(4^{\circ}\text{C}\). |
| 4. | Buoyancy may be more or less in water at \(4^{\circ}\text{C}\) depending on the radius of the sphere. |
Subtopic: Thermal Expansion |
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As the temperature is increased, the time period of a pendulum
| 1. | increases as its effective length increases even though its centre of mass still remains at the centre of the bob. |
| 2. | decreases as its effective length increases even though its centre of mass still remains at the centre of the bob. |
| 3. | increases as its effective length increases due to shifting of centre of mass below the centre of the bob. |
| 4. | decreases as its effective length remains same but the centre of mass shifts above the centre of the bob. |
Subtopic: Thermal Expansion |
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The radius of a metal sphere at room temperature \(T\) is \(R,\) and the coefficient of linear expansion of the metal is \(\alpha.\) The sphere is heated a little by a temperature \(\Delta T\) so that its new temperature is \(T + \Delta T.\) The increase in the volume of the sphere is approximately:
1. \(2 \pi R \alpha \Delta T \)
2. \(\pi R^2 \alpha \Delta T \)
3. \(4 \pi R^3 \alpha \Delta T / 3 \)
4. \(4 \pi R^3 \alpha \Delta T\)
1. \(2 \pi R \alpha \Delta T \)
2. \(\pi R^2 \alpha \Delta T \)
3. \(4 \pi R^3 \alpha \Delta T / 3 \)
4. \(4 \pi R^3 \alpha \Delta T\)
Subtopic: Thermal Expansion |
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A sphere, a cube, and a thin circular plate, all of the same material and the same mass are initially heated to the same high temperature. Then:
| 1. | the plate will cool fastest and the cube the slowest |
| 2. | the sphere will cool fastest and the cube the slowest |
| 3. | the plate will cool fastest and the sphere the slowest |
| 4. | cube will cool fastest and plate the slowest. |
Subtopic: Radiation |
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‘Gulab Jamuns’ (assumed to be spherical) are to be heated in an oven. They are available in two sizes, one twice bigger (in radius) than the other. Pizzas (assumed to be discs) are also to be heated in oven. They are also in two sizes, one twice big (in radius) than the other. All four are put together to be heated to oven temperature. Choose the correct option from the following:
| 1. | Both size gulab jamuns will get heated in the same time. |
| 2. | Smaller gulab jamuns are heated before bigger ones. |
| 3. | Smaller pizzas are heated before bigger ones. |
| 4. | Bigger pizzas are heated before smaller ones. |
Subtopic: Stefan-Boltzmann Law |
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Refer to the plot of temperature versus time showing the changes in the state of ice on heating (not to scale).
Which of the following is correct?
Choose the correct option:
1. (a), (d)
2. (b), (c), (d)
3. (a), (b), (c)
4. (b), (c)
Which of the following is correct?
| (a) | The region \(AB\) represents ice and water in thermal equilibrium. |
| (b) | At \(B\) water starts boiling. |
| (c) | At \(C\) all the water gets converted into steam. |
| (d) | \(C\) to \(D\) represents water and steam in equilibrium at boiling point. |
1. (a), (d)
2. (b), (c), (d)
3. (a), (b), (c)
4. (b), (c)
Subtopic: Calorimetry |
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A glass full of hot milk is poured on the table. It begins to cool gradually. Which of the following is correct?
Choose the correct option:
1. (a), (d)
2. (b), (c), (d)
3. (a), (b), (c)
4. (b), (c)
| (a) | The rate of cooling is constant till milk attains the temperature of the surrounding. |
| (b) | The temperature of milk falls off exponentially with time. |
| (c) | While cooling, there is a flow of heat from milk to the surrounding as well as from surrounding to the milk but the net flow of heat is from milk to the surrounding and that is why it cools. |
| (d) | All three phenomenon, conduction, convection and radiation are responsible for the loss of heat from milk to the surroundings. |
Choose the correct option:
1. (a), (d)
2. (b), (c), (d)
3. (a), (b), (c)
4. (b), (c)
Subtopic: Newton's Law of Cooling |
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