1
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius $$R$$ and making a circular contact of radius $$r$$ with the bottom $$R$$ and making a circular contact of radius $$r$$ with the bottom of the vessel. If $$r < < R$$ and the surface tension of water is $$T,$$ value of $$r$$ just before bubbles detach is: (density of water is $${\rho _w}$$) JEE Main 2014 (Offline) Physics - Properties of Matter Question 227 English
A
$${R^2}\sqrt {{{{\rho _w}g} \over {3T}}} $$
B
$${R^2}\sqrt {{{{\rho _w}g} \over {6T}}} $$
C
$${R^2}\sqrt {{{{\rho _w}g} \over {T}}} $$
D
$${R^2}\sqrt {{{{2\rho _w}g} \over {3T}}} $$
2
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
Three rods of Copper, Brass and Steel are welded together to form a $$Y$$ shaped structure. Area of cross - section of each rod $$ = 4c{m^2}.$$ End of copper rod is maintained at $${100^ \circ }C$$ where as ends of brass and steel are kept at $${0^ \circ }C$$. Lengths of the copper, brass and steel rods are $$46,$$ $$13$$ and $$12$$ $$cms$$ respectively. The rods are thermally insulated from surroundings excepts at ends. Thermal conductivities of copper, brass and steel are $$0.92, 0.26$$ and $$0.12$$ $$CGS$$ units respectively. Rate of heat flow through copper rod is:
A
$$1.2$$ $$cal/s$$
B
$$2.4$$ $$cal/s$$
C
$$4.8$$ $$cal/s$$
D
$$6.0$$ $$cal/s$$
3
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
The pressure that has to be applied to the ends of a steel wire of length $$10$$ $$cm$$ to keep its length constant when its temperature is raised by $${100^ \circ }C$$ is: (For steel Young's modulus is $$2 \times {10^{11}}\,\,N{m^{ - 2}}$$ and coefficient of thermal expansion is $$1.1 \times {10^{ - 5}}\,{K^{ - 1}}$$ )
A
$$2.2 \times {10^8}\,\,Pa$$
B
$$2.2 \times {10^9}\,\,Pa$$
C
$$2.2 \times {10^7}\,\,Pa$$
D
$$2.2 \times {10^6}\,\,Pa$$
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
A mass $$'m'$$ is supported by a massless string wound around a uniform hollow cylinder of mass $$m$$ and radius $$R.$$ If the string does not slip on the cylinder, with what acceleration will the mass fall or release? JEE Main 2014 (Offline) Physics - Rotational Motion Question 188 English
A
$${{2g} \over 3}$$
B
$${{g} \over 2}$$
C
$${{5g} \over 6}$$
D
$$g$$
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