(b) Y
V2Y
(d) 4Y
(d)
1. +T,
(18) lo designing a beam for its use to support a load, the depression at centre (where. Y is Young's modulus) is
proportional to AIIMS 121
(b) Y
(19) The length of a metal wire isl, when the tension in it is T, and ist when the tension is T. The natural length
of the wire is (AIIMS 2015]
41,-1,T,
IT +11
(6) SIL
T, -T
20) A steel wire with cross-section 3 cm' has elastic limit 2.4 % 10% Nm? The maximum upward acceleration that
can be given to a 1200 kg elevator supported by this cable iſ the stress is not to exceed one-third of the elastic
limit (take g = 10 m/s) is (AIIMS 14)
(a) 12 ms
(b) 10 ms
(c) 8 ms?
(d) 7 ms?
Young's modulus for a steel wire is 2 x 10" Pa and its elastic limit is 2.5 % 10% Pa. By how much can a steel
wire 3 m long and 2 min in diameter be stretched before the elastic limit is exceeded? [AIIMS 15)
(a) 3.75 mm
(b) 7.50 mm
(c) 4.75 mm
(d) 4.00 mm
For a constant hydraulic stress P on an object with bulk modulus (B), the fractional cliange in the volume of
the object will be (AIIMS 15]
P
(1) в
(b) P
10 VB
The following four wires are made of the same material. Which of these will have the largest extension when
the same tension is applied? INEET 13]
(a) Length = 50 cm, diameter = 0.5 mm (b) Length = 100 cm, diameter = 1 mm
(c) Length = 200 cm, diameter =2 mm (d) Length = 300 cm, diameter = 3 mm
The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross-
section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the
wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of
(AIPMT Re 15]
(a) 1:1
(b) 1:2
(c) 2:1
(d) 4:1
Copper of fixed volume V is drawn into wire of length I. When this wire is subjected to a constant force F. the
extension produced in the wire is Al. Which of the following graphs is a straight line? (AIPMT 14)
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