The first law of thermodynamics states:
\[ \Delta Q = \Delta U + \Delta W \]
Where:
- \( \Delta Q \) is the heat supplied to the system,
- \( \Delta U \) is the change in internal energy,
- \( \Delta W \) is the work done by the system.
The first law introduces the concept of internal energy and explains how energy is conserved in the system. It is essentially a restatement of the law of conservation of energy.
However, the concept of entropy is not introduced by the first law but by the second law of thermodynamics, which deals with the direction of processes and the measure of disorder in the system. Therefore, the statement in option (2) is incorrect.
Match List-I with List-II:
| List-I (Modulation Schemes) | List-II (Wave Expressions) |
|---|---|
| (A) Amplitude Modulation | (I) \( x(t) = A\cos(\omega_c t + k m(t)) \) |
| (B) Phase Modulation | (II) \( x(t) = A\cos(\omega_c t + k \int m(t)dt) \) |
| (C) Frequency Modulation | (III) \( x(t) = A + m(t)\cos(\omega_c t) \) |
| (D) DSB-SC Modulation | (IV) \( x(t) = m(t)\cos(\omega_c t) \) |
Choose the correct answer:

If the roots of $\sqrt{\frac{1 - y}{y}} + \sqrt{\frac{y}{1 - y}} = \frac{5}{2}$ are $\alpha$ and $\beta$ ($\beta > \alpha$) and the equation $(\alpha + \beta)x^4 - 25\alpha \beta x^2 + (\gamma + \beta - \alpha) = 0$ has real roots, then a possible value of $y$ is: