MHT CET 2021 21TH SEPTEMBER MORNING SHIFT

A closed organ pipe of length '\(\mathrm{L}_c\)' and an open organ pipe of length '\(\mathrm{L}_{\mathrm{o}}\)' contain different gases of densities '\(\rho_1\)' and '\(\rho_2\)' respectively. The compressibility of the gases is the same in both the pipes. The gases are vibrating in their first overtone with the same frequency. What is the length of open organ pipe?

What is the percentage efficiency of packing in BCC structure?

$$\begin{aligned} & \text { If the function } \mathrm{f}(\mathrm{x})=1+\sin \frac{\pi}{2}, \quad-\infty<\mathrm{x} \leq 1 \\ & =\mathrm{ax}+\mathrm{b}, \quad 1<\mathrm{x}<3 \\ & =6 \tan \frac{x \pi}{12}, \quad 3 \leq x<6 \\ \end{aligned}$$

is continuous in \((-\infty, 6)\), then the values of \(\mathrm{a}\) and \(\mathrm{b}\) are respectively.

A glass cube of length \(24 \mathrm{~cm}\) has a small air bubble trapped inside. When viewed normally from one face it is \(10 \mathrm{~cm}\) below the surface. When viewed normally from the opposite face, its apparent distance is \(6 \mathrm{~cm}\). The refractive index of glass is

What is the volume (in dm\(^3\)) occupied by 75 g ethane at S.T.P. ?

A coin is tossed and a die is thrown. The probability that the outcome will be head or a number greater than 4 or both, is