Does anyone happen to know the answer to this question?

If a husband is collecting $2,000 a month as his social security allotment and his wife is collecting $1,000 a month as her social security allotment, what happens if the husband dies? Does the wife's amount increase?

Someone told me that the wife would now collect $2,000 a month since the husband's allotment was higher. That doesn't sound logical to me. In other words, does the surviving spouse automatically get the higher amount?