JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be:

Given : Earth's radius \(=6.4\times10^6\) m

For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas

What is the value of compressibility factor at point A ?

Let the equation of the plane P containing the line \(x+10=\frac{8-y}{2}=z\) be \(ax+by+3z=2(a+b)\) and the distance of the plane \(P\) from the point (1, 27, 7) be \(c\). Then \(a^2+b^2+c^2\) is equal to __________.

If a radioactive element having half-life of \(30 \mathrm{~min}\) is undergoing beta decay, the fraction of radioactive element remains undecayed after \(90 \mathrm{~min}\). will be

Which of the following salt solutions would coagulate the colloid solution formed when \(\mathrm{FeCl_3}\) is added to \(\mathrm{NaOH}\) solution, at the fastest rate?

Let \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) be three non-zero non-coplanar vectors. Let the position vectors of four points \(A,B,C\) and \(D\) be \(\overrightarrow a - \overrightarrow b + \overrightarrow c ,\lambda \overrightarrow a - 3\overrightarrow b + 4\overrightarrow c , - \overrightarrow a + 2\overrightarrow b - 3\overrightarrow c\) and \(2\overrightarrow a - 4\overrightarrow b + 6\overrightarrow c\) respectively. If \(\overrightarrow {AB} ,\overrightarrow {AC}\) and \(\overrightarrow {AD}\) are coplanar, then \(\lambda\) is equal to __________.