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The relation between an ac voltage sourc...

The relation between an ac voltage source and time in SI units is `V=120 sin(100 pi t)cos (100 pi t) V`. The value of peak voltage and frequency will be respectively

A

120 V and 100 Hz

B

`(120)/(sqrt2)V` and 100 Hz

C

60V and 200 Hz

D

60 V and 100Hz

Text Solution

Verified by Experts

The correct Answer is:
D
`V = 120 sin(100pi t)cos (100pit)`
` = 60sin (200pit) (because sin 2theta = 2sin theta cos theta)`
Compare it with standard equation
`V = V_0 sin omega t `
We get , `V_0 = 60V`
and `omega = 200 pi " or " 2pi v = 200 pi " or " v = 100 Hz `
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