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Ideal Gas Equation

If m1, m2 a...

Question

If $m_{1}, m_{2}$ are masses of an ideal gas, then which of the graph represents $m_{2} > m_{1}$ ?

A

I, II only

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B

I, III only

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C

I, IV only

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D

I, II, III, IV

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Solution

The correct option is D I, II, III, IV
As we know,
$P V = n R T$ ,
$P V = \frac{m}{M} R T$ or $P V \propto m T$

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A pulley which is fixed to the ceiling of an elevator car carries a thread whose ends are attached to the masses $m_{1}$ and $m_{2}$ . The car starts going up with an acceleration $a_{0}$ . Assuming the masses of the pulley and the thread as well as the friction to be negligible, find:

Match the given columns according to the options where,

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Q. A body of mass

m_{1}

moving with certain velocity

V_{0}

collides head-on with another body of mass

m_{2}

at rest. List-1 gives relation between

m_{1}

m_{2}

and List-2 gives velocity of

m_{2}

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If

e = \frac{1}{3}

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\begin{matrix} List-1 & List-2 (I) & m_{2} = m_{1} & (P) & V_{0} (II) & m_{2} = 4 m_{1} & (Q) & \frac{2 V_{0}}{3} (III) & m_{2} = 2 m_{1} & (R) & \frac{2 V_{0}}{5} (IV) & m_{2} = 9 m_{1} & (S) & \frac{4 V_{0}}{9} (T) & \frac{4 V_{0}}{15} (U) & None \end{matrix}

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m_{1}

moving with certain velocity

V_{0}

collides headon with another body of mass

m_{2}

at rest. List-1 gives relation between

m_{1}

m_{2}

and List-2 gives velocity of

m_{2}

after collision.

If e = 1,
Match List-1 with List -2

\begin{matrix} List-1 & List-2 (I) & m_{2} = m_{1} & (P) & V_{0} (II) & m_{2} = 4 m_{1} & (Q) & \frac{2 V_{0}}{3} (III) & m_{2} = 2 m_{1} & (R) & \frac{2 V_{0}}{5} (IV) & m_{2} = 9 m_{1} & (S) & \frac{4 V_{0}}{9} (T) & \frac{4 V_{0}}{15} (U) & None \end{matrix}

Q. From the graph for an ideal gas state whether

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