Question

In the equation y = integrate x² cos (wt - h*alpha) dt , unit of x is 'm' and of t is 's'. The unit of y is
A) m²
B) m/s¹
C) ms
D) m²s​

Answer 1

Answer:

Correct Answer : Option A

Explanation:

Since argument of cos has to be dimensionless, thus ∣2πβy  

′

/α∣=M  

0

L  

0

T  

0

 

Thus, ∣y  

′

∣=  

∣β∣

∣α∣

​

 (π is dimensionless)

Thus, ∣y  

′

∣=  

(ms  

−1

)  

−1

 

s  

−1

 

​

=ms  

−2

 

Now, since cos is dimensionless, thus ∣y∣=∣x  

2

∣=m  

2