If some heat is given to a metal of mass 100 g, its temperature rises by 20 $^\circ$C. If the same heat is given to 20 g of water, the change in its temperature (in $^\circ$C) is (The ratio of specific heat capacities of metal and water is 1:10)
Show Hint
- 5
- 10
- 12
- 15
The Correct Option is B
Solution and Explanation
Mass of water, \(m_w = 20\, g\)
Ratio of specific heat capacities \(C_m : C_w = 1 : 10\)
Heat given \(Q\) is same for both: \[ Q = m_m C_m \Delta T_m = m_w C_w \Delta T_w \] \[ \Rightarrow 100 \times C_m \times 20 = 20 \times 10 C_m \times \Delta T_w \] Simplify: \[ 2000 C_m = 200 C_m \Delta T_w \Rightarrow \Delta T_w = \frac{2000}{200} = 10^\circ C \]
Top Questions on Heat Transfer
- What is the amount of heat required to raise the temperature of 100 g of water from 30°C to 80°C? (Specific heat of water = 4.2 J/g°C)
- CUET (UG) - 2025
- Physics
- Heat Transfer
One mole of an ideal gas at 300 K is compressed isothermally from a volume of \(V_1\) to \(V_2\). Calculate:
The work done on the gas
The change in internal energy
The heat exchanged with the surroundings
Use \(R = 8.314\, \text{J/molK}\), \( \ln(2.5) = 0.916\)- AP EAPCET - 2025
- Physics
- Heat Transfer
Three conductors of same length having thermal conductivity \(k_1\), \(k_2\), and \(k_3\) are connected as shown in figure. Area of cross sections of 1st and 2nd conductor are same and for 3rd conductor it is double of the 1st conductor. The temperatures are given in the figure. In steady state condition, the value of θ is ________ °C. (Given: \(k_1\) = 60 Js⁻¹m⁻¹K⁻¹,\(k_2\) = 120 Js⁻¹m⁻¹K⁻¹, \(k_3\) = 135 Js⁻¹m⁻¹K⁻¹)
- JEE Main - 2025
- Physics
- Heat Transfer
- Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of bigger body is 400 K. If the energy radiate from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding to be negligible):
- JEE Main - 2025
- Physics
- Heat Transfer
- Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratio of lengths, radii and thermal conductivities of these rods are : $ \frac{L_A}{L_B} = \frac{1}{2} $, $ \frac{r_A}{r_B} = 2 $, and $ \frac{K_A}{K_B} = \frac{1}{2} $. The free ends of rods A and B are maintained at $ 400 \, K $, $ 200 \, K $, respectively. The temperature of rods interface is ____ K, when equilibrium is established.
- JEE Main - 2025
- Physics
- Heat Transfer
Questions Asked in AP EAPCET exam
- Two blocks of masses 8 kg and 12 kg kept on a smooth horizontal table are connected to the ends of a light string as shown in the figure. If a horizontal force of 500 N is applied to the block of mass 12 kg, then the tension in the string connecting the blocks is
- AP EAPCET - 2025
- laws of motion
- If the normal drawn to the hyperbola \( xy = 16 \) at (8, 2) meets the hyperbola again at a point \((\alpha, \beta)\), then \( |\beta| + \frac{1}{|\alpha|} = \)
- AP EAPCET - 2025
- Hyperbola
- If the binding energy per nucleon of deuteron (\( ^1\mathrm{H}^2 \)) is 1.15 MeV and an \(\alpha\)-particle has a binding energy of 7.1 MeV per nucleon, then the energy released per nucleon in the given reaction is \[ ^1\mathrm{H}^2 + ^1\mathrm{H}^2 \rightarrow ^2\mathrm{He}^4 + Q \]
- AP EAPCET - 2025
- Nuclear physics
- If the function \( f \) defined by \[ f(x) = \begin{cases} \dfrac{1 - \cos 4x}{x^2}, & x<0 \\ a, & x = 0 \\ \dfrac{\sqrt{x}}{\sqrt{16 + \sqrt{x}} - 4}, & x>0 \end{cases} \] is continuous at \( x = 0 \), then \( a = \)
- AP EAPCET - 2025
- Limits and Exponential Functions
If \( \vec{u}, \vec{v}, \vec{w} \) are non-coplanar vectors and \( p, q \) are real numbers, then the equality:
\[ [3\vec{u} \quad p\vec{v} \quad p\vec{w}] - [p\vec{v} \quad \vec{w} \quad q\vec{u}] - [2\vec{w} \quad q\vec{v} \quad q\vec{u}] = 0 \]
holds for:
- AP EAPCET - 2025
- Geometry and Vectors
