1
IIT-JEE 2008 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is

A
$$\frac{1}{\mathrm{T}}$$
B
$$\frac{2}{\mathrm{T}}$$
C
$$\frac{3}{\mathrm{T}}$$
D
$$\frac{4}{\mathrm{T}}$$
2
IIT-JEE 2008 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A spherically symmetric gravitational system of particles has a mass density

$$\rho = \left\{ {\matrix{ {{\rho _0}} & {for} & {r \le R} \cr 0 & {for} & {r > R} \cr } } \right.$$

Where $$\rho_0$$ is a constant. A test mass can undergo circular motion under the influence of the gravitational field of particles. Its speed V as a function of distance $$r(0 < r < \infty)$$ from the centre of the system is represented by

A
IIT-JEE 2008 Paper 1 Offline Physics - Gravitation Question 2 English Option 1
B
IIT-JEE 2008 Paper 1 Offline Physics - Gravitation Question 2 English Option 2
C
IIT-JEE 2008 Paper 1 Offline Physics - Gravitation Question 2 English Option 3
D
IIT-JEE 2008 Paper 1 Offline Physics - Gravitation Question 2 English Option 4
3
IIT-JEE 2008 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

Two balls, having linear momenta $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow p _2} = - p\widehat i$$, undergo a collision in free space. There is no external force acting on the balls. Let $${\overrightarrow {p'} _1}$$ and $${\overrightarrow {p'} _2}$$ be their final momenta. The following option(s) is (are) NOT ALLOWED for any non-zero value of $$p,{a_1},{a_2},{b_1},{b_2},{c_1}$$ and $${c_2}$$ :

A
$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j$$
B
$${\overrightarrow {p'} _1} = {c_1}\widehat k;{\overrightarrow {p'} _2} = {c_2}\widehat k$$
C
$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j + {c_1}\widehat k;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j - {c_1}\widehat k$$
D
$${\overrightarrow {p'} _1} = {a_1}\widehat i + {b_1}\widehat j;{\overrightarrow {p'} _2} = {a_2}\widehat i + {b_2}\widehat j$$
4
IIT-JEE 2008 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-2

Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct choice(s) given below.

IIT-JEE 2008 Paper 1 Offline Physics - Atoms and Nuclei Question 6 English

A
Fusion of two nuclei with mass number lying in the range of 1 < A < 50 will release energy
B
Fusion of two nuclei with mass numbers lying in the range of 51 < A < 100 will release energy
C
Fission of a nucleus lying in the mass range of 100 < A < 200 will release energy when broken into two equal fragments
D
Fission of a nucleus lying in the mass range of 200 < A < 260 will release energy when broken into two equal fragments
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