Home
Class 11
PHYSICS
The total energy of a black body radiati...

The total energy of a black body radiation source is collected for five minutes and used to heat water. The temperature of the water increases from `10.0^(@)` to 1`1.0^(@)`. The absolute temperature of the black body is doubled and its surface area halved and the experiment repeated for the same time. Which of the following statements would be most nearly correct ?

A

The temperature of the water would increase from `10.0^@C` to a temperature of `12^@C`

B

The temperature of the water would increase from `10.0^@C` to a temperature of `18^@C`

C

The temperature of the water would increase from `10.0^@C` to a temperature of `14^@C`

D

The temperature of the water would increase from `10.0^@C` to a temperature of `11^@C`

Text Solution

Verified by Experts

The correct Answer is:
B
`H_1=sigma AT^4 xx 5 = ms Delta theta_1 implies H_2 = sigma A/2 (2T)^4 xx 5=msDelta theta_2`
`Delta theta_2=8Delta theta_1 implies Delta theta_2 = 8^@C`
The temperature of water would increase from `10^@` C to a final temperature of `18^@C`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The total energy of a blackbody radiation source is collected for one minute and used to heat water The temperature of the water in creases from 20^(@)C to 20.5^(@)C If the absolute temperature of the blackbody is diubled and the experiment repeated which of the following statements would be most nearly COR-RECT ? .

The total energy radiated from a block body source at constant temperature is collected for one minute and is used to heata quantity of water. The temperature of water is found to increase from 20^(@)C to 20.5^(@)C . If the absolute temperature of the blackbody is doubled and hte experiment is repeated with the same quantity of water of 20^(@)C , the temperature of water will be:

If the temperature of a hot-black body is increased by 10%, the heat energy radiated by it would increase by

A heated body emits radiation which has maximum intensity near the wavelength lamda_(0) . The emissivity of its material is 0.75. the absolute temperature of the body is doubled

Statement-1 : When temperature of a black body is doubled, energy radiated/sec/area becomes 16 times. Statement-2 : This is per Stefan's law.

The temperature at which a black body of unit area loses its energy at the rate of 1 joule/second is

In a dark room with ambient temperature T_(0) , a black body is kept at a temperature T . Keeping the temperature of the black body constant (at T ), sunrays are allowed to fall on the black body through a hole in the roof of the dark room. Assuming that there is no change in the ambient temperature of the room, which of the following statements (s) is/are correct ?