List of top Questions asked in Bihar Board XII

\(\frac{d}{dx} \left[ \log x^2 + \log a^2 \right] \)
\(\frac{d}{dx} \left[ 2 \tan^{-1} x \right] \)
\(\frac{d}{dx} \left[ e^{x^2} \right] \)
\(\int \frac{dx}{x^2 + 4} \)
\(\frac{d}{dx} \left( e^{2x} + 2e^x \right)\)
\(\frac{d}{dx} \left[ \lim_{x \to a} \frac{x^n + a^n}{x + a} \right] \)
\(\frac{d}{dx} \left( \sin^{-1} 2x \right)\)
\(\frac{d}{dx} \left[ (x+2)(x^2 - 2x + 4) \right] \)
\(\frac{d}{dx} \left(\sec^2 x - \tan^2 x\right)\)
Define wavefront and secondary wavelets. Verify the law of reflection on the basis of Huygens’ wave theory.
Define self-inductance and mutual inductance. Find an expression for mutual inductance of two coaxial solenoids.
What is photoelectric effect? What are the laws of photoelectric effect? Explain this law given by Einstein.
A proton and an electron have the same kinetic energy. Which one has greater de Broglie wavelength and why?
Define volume density of charge. Write its SI unit.
Explain magnetic moment. Write its SI unit.
Write two properties of beta rays.
Explain Bohr's stable orbit.
Mention two different modes of propagation used in communication system.
State and prove Gauss's theorem in electrostatics. Calculate the electric field intensity at a point outside a hollow uniformly charged sphere.
State Kirchhoff's laws and use them to obtain the condition for balance of a Wheatstone bridge.
Write two properties of paramagnetic substances.
Convert decimal numbers 21 and 43 into their equivalent binary numbers.
Write down the difference between nuclear fission and nuclear fusion.
Write the necessary conditions for total internal reflection of light.
Write Fleming's left hand rule.