Question

The displacement of two sinusoidal waves propogating through a string are given by the equations: y1= 4sin (20x-30t) and y2= 4sin (25x-40t) where x and y are in centimeters and t is in seconds

Answer 1

Answer:

Explanation:

ɢɪᴠᴇɴ :-

ᴀɴᴅ,

➻ a) Tᴏ ғɪɴᴅ ᴘʜᴀsᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ᴡʜᴇɴ x=5cm and t= 2 s:

➪Pʜᴀsᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs 5 ʀᴀᴅɪᴀɴ ʙᴇᴄᴀᴜsᴇ

= |45-40| = 5 ʀᴀᴅɪᴀɴ .

b) Tᴏ ғɪɴᴅ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ᴀɴᴅ ᴍɪɴɪᴍᴜᴍ ᴠᴀʟᴜᴇs ᴏғ ᴛʜᴇ ɪɴᴛᴇɴsɪᴛʏ :

➪ Aᴍᴘʟɪᴛᴜᴅᴇs ᴏғ ᴛʜᴇ ᴛᴡᴏ ᴡᴀᴠᴇs ᴀʀᴇ :-

➙ ᴡʜᴇɴ ᴛʜᴇ ᴘʜᴀsᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs ᴢᴇʀᴏ ᴀɴᴅ -

ᴡʜᴇɴ ᴛʜᴇ ᴘʜᴀsᴇ ᴅɪғғᴇʀᴇɴᴄᴇ ɪs :-