Two uniform strings ' $A$ ' and ' $B$ ' made of steel are made to vibrate under same tension. If the first overtone of ' $A$ ' is equal to second overtone of ' B ' and radius of ' A ' is twice that of ' B '. Then the ratio of length of string ' $A$ ' to that of ' $B$ ' is
Which one of the following is the correct equation for the electric circuit shown in the figure?

A pendulum is performing simple harmonic motion. The acceleration of the bob is $20 \mathrm{~cm} \mathrm{~s}^{-2}$ at a distance of 5 cm from mean position. The time period of oscillation is
A spherical body of radius ' $r$ ' radiates power ' $P$ ' at $T$ kelvin. If the radius $s$ halved and the temperature doubled the power radiated in the same time ' t ' will be
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