The angle of projection of a projectile whose path is shown in the given figure is

Which of the following statements is not correct when a junction diode is in forward bias?

Two wires of the same material and length but diameters in the ratio \(1: 2\) are stretched by the same force. The elastic potential energy per unit volume for the wires, when stretched by the same force will be in the ratio.

The door of an operating refrigerator is kept open. As a result, the temperature of the room will

A \(2 \mathrm{~kg}\) ball moving at \(24 \mathrm{~ms}^{-1}\) undergoes inelastic head-on collision with a \(4 \mathrm{~kg}\) ball moving in the opposite direction at \(48 \mathrm{~ms}^{-1}\). If the coefficient of restitution is \(2 / 3\), their velocities in \(\mathrm{ms}^{-1}\) after impact are

The capacitance of a spherical condenser is \(1 \mu \mathrm{F}\). If the spacing between the two spheres is \(1 \mathrm{~mm}\), the radius of the outer sphere is

The maximum magnetic field produced by a current of 12 A passing through a copper wire of diameter 1.2 mm is

If \((4,7)\) and \((-2,-1)\) are ends of a diameter of a circle which intersects \(X\)-axis at \(A\) and \(B\), then \(A B\) is equal to

{2}+\operatorname{coth}^{-1} 3=$

If \(|a| < 1, b=\sum_{k=1}^{\infty} \frac{a^k}{k}\), then \(a\) is equal to

The set of all real values of \(x\) such that \(f(x)=\sqrt{\frac{[x]-1}{[x]^2-[x]-6}}\) is a real valued function is

Identify the reactions in which dichromate acts as an oxidising reagent.
I. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{Fe}^{2+}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+6 \mathrm{Fe}^{3+}+7 \mathrm{H}_2 \mathrm{O}\)
II. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+2 \mathrm{OH}^{-} \longrightarrow 2 \mathrm{CrO}_4^{2-}+\mathrm{H}_2 \mathrm{O}\)
III. \(\mathrm{Cr}_2 \mathrm{O}_7^{2-}+6 \mathrm{I}^{-}+14 \mathrm{H}^{+} \longrightarrow 2 \mathrm{Cr}^{3+}+3 \mathrm{I}_2+7 \mathrm{H}_2 \mathrm{O}\)
IV. \(\mathrm{Na}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{KCl} \longrightarrow \mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7+2 \mathrm{NaCl}\)

Which among the following represents the correct order of variation of bond angles in the given molecules?