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Latex Question

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36. `left(x^{2}+\frac{1}{x^{2}}\right)\left(x+\frac{1}{x}\right)\left(x^{4}+\frac{1}{x^{4}}\right)\left(x-\frac{1}{x}\right)` का सरलतम रूप है-

(a) 1

(b) `x^{8}-\frac{1}{x^{8}}`

(c) `x^{8}+\frac{1}{x^{8}}`

(d) `x^{16}-\frac{1}{x^{16}}`

2. The kinetic energy of a particle executing SHM will be equal to `\left(\frac{1}{8}\right)^{\text {th }}`of its potential energy when its displacement from the mean position is (where A is the amplitude)

A) `A \sqrt{2}`

B) `\frac{A}{2}`

C) `\frac{2 \sqrt{2} A }{3}`

D) `A \sqrt{\frac{2}{3}}`

3. A wave is represented by `y=0.4 \cos \left(8 t-\frac{x}{4}\right)` where x and y are in metres and t in seconds. The frequency of the wave is

A) `\frac{4}{\pi} s ^{-1}`

B) `\frac{8}{\pi} s ^{-1}`

C) `\frac{5}{\pi} s ^{-1}`

D) `\frac{6}{\pi} s ^{-1}`

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