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The equation of stationary wave is : y = 2a sin((2πnt)/λ) cos((2πx)/λ) Which of the following is NOT correct- (1) The dimensions of nt is [L] (2) The dimensions of n is [LT^-1] (3) The dimensions of n/λ is [T] (4) The dimensions of x is [L]

1. The dimensions of nt is [L]
2. The dimensions of n is [LT^-1]
3. The dimensions of n/λ is [T]
4. The dimensions of x is [L]

Correct answer: The dimensions of n/λ is [T]

Solution

The dimension of n/λ is indeed [T] because n represents the frequency (1/T) and λ is a length ([L]), making their ratio have dimensions of time. This confirms that the correct option is the one stating that the dimensions of n/λ is [T], which is accurate.

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