The resultant of two vectors $F_{1}$ and $F_{2}$ is $R_{1}$ .If the direction of $F_{2}$ is reversed the, new resultant is $R_{2}$ .Show that ${R_{1}}^{2} + {R_{2}}^{2} = 2 ({F_{1}}^{2} + {F_{2}}^{2}) .$

Q. If

∣ ∣ ∣_{1} \times_{2} ∣ ∣ ∣ =_{1} ._{2}

, then

∣ ∣ ∣_{1} +_{2} ∣ ∣ ∣

Q. Let

f

be a linear function for which

f (6) - f (2) = 12

. The value of

f (12) - f (2)

is equal the

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A wire under load emits fundamental frequencies f,f1,f2 when the load is suspended in air, in water and in liquid completely immersed. The specific gravity of the liquid is:

The correct option is B f2−f22f2−f21f∝√Tf2⇒∝Tf2−f21=T−(T−Vρwg)=Vρwgf2−f22=T−(T−Vρlg)=Vρlg∴ specific gravity ρlρw=f2−f22f2−f21

A wire under load emits fundamental frequencies $f, f_{1}, f_{2}$ when the load is suspended in air, in water and in liquid completely immersed. The specific gravity of the liquid is: