1
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-0.75
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. The ratio of the rms speeds $$\left( {{{{v_{rms}}\left( {helium} \right)} \over {{v_{rms}}\left( {\arg on} \right)}}} \right)$$ is
A
0.32
B
0.45
C
2.24
D
3.16
2
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+4
-1
In the determination of Young's modulus $$\left( {Y = {{4MLg} \over {\pi l{d^2}}}} \right)$$ by using Searle's method, a wire of length L = 2 m and diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length of the wire is observed. Quantities d and l are measured using a screw gauge and a micrometer, respectively. They have the same pitch of 0.5 mm. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the Y measurement
A
due to the errors in the measurements of d and l are the same.
B
due to the error in the measurement of d is twice that due to the error in the measurement of l.
C
due to the error in the measurement of l is twice that due to the error in the measurement of d.
D
due to the error in the measurement of d is four times that due to the error in the measurement of l.
3
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the xy-plane with centre at O and constant angular speed $$\omega$$. If the angular momentum of the system, calculated about O and P are denoted by $${\overrightarrow L _O}$$ and $${\overrightarrow L _P}$$, respectively, then

IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 25 English

A
$${\overrightarrow L _O}$$ and $${\overrightarrow L _P}$$ do not vary with time.
B
$${\overrightarrow L _O}$$ varies with time while $${\overrightarrow L _P}$$ remains constant.
C
$${\overrightarrow L _O}$$ remains constant while $${\overrightarrow L _P}$$ varies with time.
D
$${\overrightarrow L _O}$$ and $${\overrightarrow L _P}$$ both vary with time.
4
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A biconvex lens is formed with two planoconvex lenses as shown in the figure. Refractive index n of the first lens is 1.5 and that of the second lens is 1.2. Both curved surface are of the same radius of curvature R = 14 cm. For this biconvex lens, for an object distance of 40 cm, the image distance will be

IIT-JEE 2012 Paper 1 Offline Physics - Geometrical Optics Question 30 English

A
$$-$$280.0 cm
B
40.0 cm
C
21.5 cm
D
13.3 cm
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