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Physics-

General

Easy

Question

The resultant of velocity of two cars moving with equal speeds, Ratio of magnitude $fraction numerator R subscript 2 end subscript over denominator R subscript 1 end subscript end fraction blank equals blank square root of 3$ , when the direction of either car is reversed. The angle between the direction of cars is

30°
60°
120°
None of these

The correct answer is: 120°

Let the vectors be
$stack A with rightwards arrow on top text & end text stack text B end text with rightwards arrow on top$
| $stack A with rightwards arrow on top$ | = | $stack B with rightwards arrow on top$ | (given)
$fraction numerator R subscript 2 end subscript over denominator R subscript 1 end subscript end fraction blank equals blank square root of 3 blank left parenthesis g i v e n right parenthesis$
Þ $fraction numerator R subscript 2 end subscript over denominator R subscript 1 end subscript end fraction$ = $fraction numerator square root of A to the power of 2 end exponent blank plus text end text text B end text to the power of 2 end exponent text - 2 AB Cos end text theta end root over denominator square root of A to the power of 2 end exponent blank plus text end text text B end text to the power of 2 end exponent blank plus text 2 AB Cos end text theta end root end fraction blank equals blank square root of 3$
Putting A = B we obtain q = 120°.

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