The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, $$1.0 \times 10^{-2} \mathrm{~A} \mathrm{~m}^2$$ and $$\frac{10^{-6}}{\pi^2} \mathrm{~kg} \mathrm{~m}^2$$. If it completes 10 oscillations in $$10 \mathrm{~s}$$, the magnitude of the magnetic field is
The capacitance of a capacitor with charge $$q$$ and a potential difference $$V$$ depends on
Given below are two statements:
Statement I : Image formation needs regular reflection and/or refraction.
Statement II : The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.
In the light of the above statements, choose the most appropriate answer from the options given below :
A uniform metal wire of length $$l$$ has $$10 \Omega$$ resistance. Now this wire is stretched to a length $$2l$$ and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is