If $$\overrightarrow F = 2\widehat i + \widehat j - \widehat k$$ and $$\overrightarrow r = 3\widehat i + 2\widehat j - 2\widehat k$$, then the scalar and vector products of $$\overrightarrow F $$ and $$\overrightarrow r $$ have the magnitudes respectively as
The physical quantity that has the same dimensional formula as pressure is
The effective capacitances of two capacitors are 3 $$\mu$$F and 16 $$\mu$$F, when they are connected in series and parallel respectively. The capacitance of two capacitors are :
After passing through a polariser a linearly polarised light of intensity I is incident on an analyser making an angle of 30$$^\circ$$ with that of the polariser. The intensity of light emitted from the analyser will be
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