Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A simple pendulum with a bob of mass m is suspended from the roof of a car moving with a horizontal acceleration a. Then (1) the string makes an angle of\[{{\tan }^{-1}}\left( \frac{a}{g} \right)\] with the vertical (2) the string makes an angle of\[{{\tan }^{-1}}\left( 1-\frac{a}{g} \right)\] with the vertical (3) the tension in the string is\[\sqrt{{{a}^{2}}+{{g}^{2}}}\] (4) The tension in the string is\[\sqrt{{{g}^{2}}-{{a}^{2}}}\]A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
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