Previous Year Question Papers

A source of sound S emitting waves of frequency 100 \mathrm{~Hz} and an observer \mathrm{O} are located at some distance from each other. The source is moving with a speed of 19.4 \mathrm{~ms}^{-1} at an angle of 60^{\circ} with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air 330 \mathrm{~ms}^{-1} ), is: (1) 97 \mathrm{~Hz} (2) 100 \mathrm{~Hz} (3) 103 \mathrm{~Hz} (4) 106 \mathrm{~Hz}

The correct solution is (3)   $ \begin{array}{l} t^{1}=f_{0}\left(\frac{v-v}{v-v_{s}}\right) \\ f^{1}=100\left(\frac{v-0}{v-(+9.7)}\right) \\ f^{1}=100 \frac{v}{v\left(1-\frac{9.7}{V}\right)}...

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The Young’s modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ration of:
(1) 1 : 1
(2) 1 : 2
(3) 2 : 1
(4) 4 : 2

The correct option is 3 $\mathrm{Y}=\frac{\mathrm{W}}{\mathrm{A}} \cdot \frac{\ell}{\Delta \ell} $ So $\Delta \ell=\frac{W \ell}{A Y}$ $ \begin{array}{c} \Delta \mathrm{e}_{1}=\Delta \mathrm{e}_{2}...

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