1
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 24 English

A
$$-$$280.0 cm
B
40.0 cm
C
21.5 cm
D
13.3 cm
2
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed $$\omega$$, as shown in the figure. At time t = 0, a small insect starts from O and moves with constant speed v, with respect to the rod towards the other end. It reaches the end of the rod at t = T and stops. The angular speed of the system remains $$\omega$$ throughout. The magnitude of the torque (|$$\tau$$|) about O, as a function of time is best represented by which plot ?

IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 20 English

A
IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 20 English Option 1
B
IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 20 English Option 2
C
IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 20 English Option 3
D
IIT-JEE 2012 Paper 1 Offline Physics - Rotational Motion Question 20 English Option 4
3
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductively. The first and third plates are maintained at temperatures 2T and 3T, respectively. The temperature of the middle (i.e. second) plate under steady state condition is

A
$${\left( {{{65} \over 2}} \right)^{1/4}}T$$
B
$${\left( {{{97} \over 4}} \right)^{1/4}}T$$
C
$${\left( {{{97} \over 2}} \right)^{1/4}}T$$
D
$${(97)^{1/4}}T$$
4
IIT-JEE 2012 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency $$\omega$$ = ($$\pi$$/3) rad/s. Simultaneously, at t = 0, a small pebble is projected with speed v from point P at an angle of 45$$^\circ$$ as shown in the figure. Point O is at a horizontal distance of 10 m from O. If the pebble hits the block at t = 1 s, the value of v is (take g = 10 m/s2)

IIT-JEE 2012 Paper 1 Offline Physics - Simple Harmonic Motion Question 14 English

A
$$\sqrt {50} $$ m/s
B
$$\sqrt {51} $$ m/s
C
$$\sqrt {52} $$ m/s
D
$$\sqrt {53} $$ m/s
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