Q5 Master Topic Universe

1. Definition of Internal Resistance and EMF.
2. Cell combinations (Series/Parallel Equivalent EMF).
3. Power Factor ($\cos\phi$) definition and significance in AC circuits.

1. Calculating terminal voltage ($V$) when a cell is charging vs discharging.
2. LCR Circuit Impedance ($Z$) and Phase angle ($\tan\phi$) calculation given $R, L, C, \omega$. $$ V = E - Ir \text{ (Discharging)} \quad ; \quad Z = \sqrt{R^2 + (\omega L - \frac{1}{\omega C})^2} $$

AC circuit ke numerical me frequency ($f=50Hz$) di hoti hai, aur bache $\omega$ ki jagah seedha $50$ rakh dete hain jabki $\omega = 2\pi f$ (yaani $100\pi$) rakhna hota hai.

1. Resolving Power vs Magnifying Power difference.
2. Astronomical Telescope / Compound Microscope Ray Diagrams.
3. Conditions for sustained interference.

1. Magnifying power calculation when image is formed at Least Distance of Distinct Vision ($D$).
2. Single Slit Diffraction: Calculating angular width of central maxima ($2\theta = 2\lambda/a$). $$ M = -\frac{f_o}{f_e}\left(1 + \frac{f_e}{D}\right) \quad ; \quad \beta = \frac{\lambda D}{d} $$

Telescope ka ray diagram banate waqt Objective lens ko Eyepiece se bada na dikhana [Image of astronomical telescope ray diagram]. Diffraction ke numerical me Slit width '$a$' aur distance '$D$' ki units ($mm$ aur $m$) me mix-up karna.

1. Work Function vs Threshold Frequency definitions.
2. Bohr's quantization condition ($mvr = nh/2\pi$).
3. Definition of Ionization Energy and Excitation Energy.

1. Using Einstein's equation to find stopping potential ($V_0$) when wavelength ($\lambda$) is given.
2. Calculating wavelength of emitted photon during transition from $n_2$ to $n_1$ (Rydberg formula). $$ eV_0 = \frac{hc}{\lambda} - \Phi_0 \quad ; \quad \frac{1}{\lambda} = R\left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right) $$

Energy transitions ke numerical me Final orbit aur Initial orbit ko ulta rakh dena, jisse $\lambda$ negative aane lagti hai.
[Image of Bohr model energy level transitions]

1. Nuclear force properties (short-range, non-central).
2. Definition of Mass Defect ($\Delta m$) and Binding Energy per nucleon.
3. Nuclear Fission vs Fusion conceptual difference based on Binding Energy curve.

1. Calculating Mass Defect using given atomic masses.
2. Calculating total Binding Energy in MeV. $$ \Delta m = [Z \cdot m_p + (A-Z) \cdot m_n] - M_{nucleus} \quad ; \quad BE = \Delta m \times 931.5 \text{ MeV} $$

Mass defect nikalte waqt Neutron number ($A-Z$) ki jagah sirf Mass number ($A$) use kar lena. Ye UP Board ke bacchon ki sabse common 3-mark killer mistake hai.

1. Effect of doping and temperature on conductivity of semiconductors.
2. Depletion layer width variation in Forward/Reverse bias.
3. Half-wave and Full-wave rectifier principle and ripple frequency concept.

1. Drawing V-I characteristics of p-n junction diode.
2. Drawing Input/Output waveforms for rectifiers.

V-I graph me Reverse bias ka current micro-ampere ($\mu A$) me likhna bhool jana. Rectifier ke circuit me load resistance ($R_L$) par current direction galat mark karna.
[Image of p-n junction V-I characteristics graph]