MHT CET 2021 24TH SEPTEMBER MORNING SHIFT

A particle performing linear S.H.M. of amplitude \(0.1 \mathrm{~m}\) has displacement \(0.02 \mathrm{~m}\) and acceleration \(0.5 \mathrm{~m} / \mathrm{s}^2\). The maximum velocity of the particle in \(\mathrm{m} / \mathrm{s}\) is

How many molecules are present in \(22400 \mathrm{~cm}^3\) of a gas at STP?

The difference between the maximum values of \({ }^6 C_r\) and \({ }^n C_r\) is 16, then \(n=\)

A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring balance reads \(49 \mathrm{~N}\), when the lift is stationary. If the lift moves downward with an acceleration of \(5 \mathrm{~m} / \mathrm{s}^2\), the reading of the spring balance will be \((\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2)\)

What is percent dissociation of acetic acid in it's \(0.01 \mathrm{~M}\) solution if dissociation of acid is \(1.34 \times 10^{-2}\) ?

If the population grows at the rate of \(8 \%\) per year, then the time taken for the population to be doubled is

(Given \(\log 2=0.6912\))