1
IIT-JEE 2010 Paper 1 Offline
Numerical
+3
-0
A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 $$ \times $$ 105 J kg-1 ) of mass m grams is at - 5 oC at atmospheric pressure. It is given 420 J of heat so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1 gm of ice has melted. Assuming there is no other heat exchange in the process, the value of m is
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2
IIT-JEE 2010 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A few electric field lines for a system of two charges $${Q_1}$$ and $${Q_2}$$ fixed at two different points on the $$x$$-axis are shown in the figure. These lines suggest that

IIT-JEE 2010 Paper 1 Offline Physics - Electrostatics Question 52 English
A
$$\left| {{Q_1}} \right| > \left| {{Q_2}} \right|$$
B
$$\left| {{Q_1}} \right| < \left| {{Q_2}} \right|$$
C
at a finite distance to the left of $${{Q_1}}$$ the electric field is zero
D
at a finite distance to the right of $${{Q_2}}$$ the electric field is zero
3
IIT-JEE 2010 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?
A
Error ΔT in measuring T, the time period, is 0.05 seconds
B
Error ΔT in measuring T, the time period, is 1 second
C
Percentage error in the determination of g is 5%
D
Percentage error in the determination of g is 2.5%
4
IIT-JEE 2010 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100, 60 and 40 W bulbs have filament resistances R100, R60 and R40 respectively, the relation between these resistances is

A
$${1 \over {{R_{100}}}} = {1 \over {{R_{40}}}} + {1 \over {{R_{60}}}}$$
B
$${R_{100}} = {R_{40}} + {R_{60}}$$
C
$${R_{100}} > {R_{60}} > {R_{40}}$$
D
$${1 \over {{R_{100}}}} > {1 \over {{R_{60}}}} > {1 \over {{R_{40}}}}$$
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