KCET 2021

The number of angular and radial nodes in \(3 p\) orbital respectively are

A proton moving with a momentum \(p_1\) has a kinetic energy \(1 / 8\)th of its rest mass-energy. Another light photon having energy equal to the kinetic energy of the possesses a momentum \(p_2\). Then, the ratio \(\frac{p_1-p_2}{p_1}\) is equal to

If \(I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x\), where \(n\) is positive integer, then \(I_{10}+I_8\) is equal to

The number of six membered and five membered rings in Buckminster fullerene respectively is

For a body moving along a straight line, the following \(v\)-\(t\) graph is obtained.

According to the graph, the displacement during

A particle starts form rest and its angular displacement (in radians) is given by \(\theta=\frac{t^2}{20}+\frac{t}{5}\). If the angular velocity at the end of \(t=4\) is \(k\), then the value of \(5 k\) is