MHT CET 2021 22TH SEPTEMBER MORNING SHIFT

The area of the parallelogram whose diagonals are represented by the vectors \(\bar{a}=3 \hat{i}-\hat{j}-2 \hat{k}\) and \(\bar{b}=-\hat{i}+3 \hat{j}-3 \hat{k}\) is

The wavelength of blue light is \(480 \mathrm{~nm}\). What is frequency of this light?

The angular displacement of body performing circular motion is given by \(\theta=5 \sin \frac{\pi t}{6}\). The angular velocity of the body at \(t=3\) second will be \(\left[\sin \frac{\pi}{2}=1, \cos \frac{\pi}{2}=0\right]\)

If \(\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}\) are mutually perpendicular vectors having magnitudes \(1,2,3\) respectively, then \(\left[\begin{array}{lll}\overline{\mathrm{a}}+\overline{\mathrm{b}}+\overline{\mathrm{c}} & \overline{\mathrm{b}}-\overline{\mathrm{a}} & \overline{\mathrm{c}}\end{array}\right]=\)

What is the value of critical temperature of water?

A bob of a simple pendulum of mass 'm' is displaced through 90\(^\circ\) from mean position and released. When the bob is at lowest position, the tension in the string is