MHT CET · Physics · Mathematics in Physics
The angle between two forces of equal magnitude \(\mathrm{R}\), if the magnitude of their resultant is \(\frac{R}{2}\)
- A \(\cos ^{-1}\left(-\frac{7}{8}\right)\)
- B \(\cos ^{-1}\left(-\frac{5}{7}\right)\)
- C \(\cos ^{-1}\left(-\frac{3}{7}\right)\)
- D \(\cos ^{-1}\left(-\frac{3}{4}\right)\)
Answer & Solution
Correct Answer
(A) \(\cos ^{-1}\left(-\frac{7}{8}\right)\)
Step-by-step Solution
Detailed explanation
\(\left(\frac{R}{2}\right)^{2}=R^{2}+R^{2}+2 R^{2} \cos \theta\)
\(\cos \theta=-\frac{7}{8}\)
\(\theta=\cos ^{-1}\left(\frac{-7}{8}\right)\)
\(\cos \theta=-\frac{7}{8}\)
\(\theta=\cos ^{-1}\left(\frac{-7}{8}\right)\)
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