MCQ_SINGLE

Water flows in a streamline motion through a horizontal pipe of circular cross-section as shown in the figure. The pressure difference of water between P and Q is $15~Nm^{-2}.$ The area of cross-section at P and Q are 40 $cm^{2}$ and $20~cm^{2}$, respectively. The rate of flow of water through the pipe, in $cm^{3}s^{-1}$, is: [Take density of water $=1000~kg~m^{-3}]$ [Image Placeholder]

MCQ_SINGLE

The compound that CANNOT be obtained from the aldol condensation reaction shown below, is [Image Placeholder]

MCQ_SINGLE

Consider that an electron is revolving in an excited state of Hydrogen atom with velocity $\sqrt{25.6}\times10^{5}ms^{-1}$. The radius of the orbit is $x\times10^{-9}$ m. The value of x is: [Take the mass of electron to the $9\times10^{-31}$ kg, charge of electron $=-1.6\times10^{-19}C$ and $\frac{1}{4\pi\epsilon_{0}}=9\times10^{9}Nm^{2}C^{-2}$]

MCQ_SINGLE

Consider a spring-mass simple harmonic oscillator in one dimension. The mass of the particle is $m$ kg and the spring constant is $k~Nm^{-1}$. At a given instant, the extension of the spring is $x$-meter and the speed of the particle is $v~ms^{-1}$. On the $x-v$ plane, if the graph of $v$ as a function of $x$ is a circle, then the correct option is:

MCQ_SINGLE

Which of the following are characteristics of prokaryotic cells? (a) Ribosomes are made of 50S and 30S subunits (b) They can have plasmids (c) They contain mesosome (d) They have peroxisomes. Choose the correct answer from the options given below:

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