1
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
A sonometer wire of length $$1.5$$ $$m$$ is made of steel. The tension in it produces an elastic strain of $$1\% $$. What is the fundamental frequency of steel if density and elasticity of steel are $$7.7 \times {10^3}\,kg/{m^3}$$ and $$2.2 \times {10^{11}}\,N/{m^2}$$ respectively ?
A
$$188.5$$ $$Hz$$
B
$$178.2$$ $$Hz$$
C
$$200.5$$ $$Hz$$
D
$$770$$ $$Hz$$
2
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
Two charges, each equals to $$q,$$ are kept at $$x=-a$$ and $$x=a$$ on the $$x$$-axis. A particle of mass $$m$$ and charge $${q_0} = {q \over 2}$$ is placed at the origin. If charge $${q_0}$$ is given a small displacement $$\left( {y < < a} \right)$$ along the $$y$$-axis, the net force acting on the particle is proportional to
A
$$y$$
B
$$-y$$
C
$${1 \over y}$$
D
$$-{1 \over y}$$
3
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
Two capacitors $${C_1}$$ and $${C_2}$$ are charged to $$120$$ $$V$$ and $$200$$ $$V$$ respectively. It is found that connecting them together the potential on each one can be made zero. Then
A
$$5{C_1} = 3{C_2}$$
B
$$3{C_1} = 5{C_2}$$
C
$$3{C_1} + 5{C_2} = 0$$
D
$$9{C_1} = 4{C_2}$$
4
JEE Main 2013 (Offline)
MCQ (Single Correct Answer)
+4
-1
A charge $$Q$$ is uniformly distributed over a long rod $$AB$$ of length $$L$$ as shown in the figure. The electric potential at the point $$O$$ lying at distance $$L$$ from the end $$A$$ is JEE Main 2013 (Offline) Physics - Electrostatics Question 171 English
A
$${Q \over {8\pi {\varepsilon _0}L}}$$
B
$${{3Q} \over {4\pi {\varepsilon _0}L}}$$
C
$${Q \over {4\pi {\varepsilon _0}L\,\ln \,2}}$$
D
$${{Q\ln \,2} \over {4\pi {\varepsilon _0}L\,{}^s}}$$
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