1. Infinite springs with force constant k, 2k, 4k and
8k.... respectively are connected in series. The
effective force constant of the spring will be
a) 2 k
b) k
c) k/2
d) 2048
Explanation:
2. To make the frequency double of a spring
oscillator, we have to
a) Reduce the mass to one fourth
b) Quardruple the mass
c) Double of mass
d) Half of the mass
Explanation:
3. The springs shown are identical. When A = 4kg ,
the elongation of spring is 1 cm. If B = 6kg , the
elongation produced by it is
a) 4 cm
b) 3 cm
c) 2 cm
d) 1 cm
Explanation:
4. When a body of mass 1.0 kg is suspended from a
certain light spring hanging vertically, its length
increases by 5 cm. By suspending 2.0 kg block to
the spring and if the block is pulled through 10 cm
and released the maximum velocity in it in m/s is
: (Acceleration due to gravity= 10 m/ \[s^{2}\] )
a) 0.5
b) 1
c) 2
d) 4
Explanation:
5. Two springs with spring constants \[k_{1}\] = 1500 N/m
and \[k_{2}\] = 3000 N/m are stretched by the same
force. The ratio of potential energy stored in
spring will be
a) 2 : 1
b) 1 : 2
c) 4 : 1
d) 1 : 4
Explanation:
6. If a spring extends by x on loading, then energy
stored by the spring is (if T is the tension in the
spring and K is the spring constant)
a) \[\frac{T^{2}}{2x}\]
b) \[\frac{T^{2}}{2K}\]
c) \[\frac{2K}{T^{2}}\]
d) \[\frac{2T^{2}}{K}\]
Explanation:
7. A weightless spring of length 60 cm and force
constant 200 N/m is kept straight and
unstretched on a smooth horizontal table and its
ends are rigidly fixed. A mass of 0.25 kg is
attached at the middle of the spring and is slightly
displaced along the length. The time period of the
oscillation of the mass is
a) \[\frac{\pi}{20}s\]
b) \[\frac{\pi}{10}s\]
c) \[\frac{\pi}{5}s\]
d) \[\frac{\pi}{\sqrt{200}}s\]
Explanation:
8. The time period of a mass suspended from a
spring is T. If the spring is cut into four equal
parts and the same mass is suspended from one of
the parts, then the new time period will be
a) T
b) \[\frac{T}{2}\]
c) 2 T
d) \[\frac{T}{4}\]
Explanation:
9. A mass M is suspended from a spring of negligible
mass. The spring is pulled a little and then
released so that the mass executes S.H.M. of time
period T. If the mass is increased by m, the time
period becomes 5T/3. Then the ratio of m/M is
a) \[\frac{5}{3}\]
b) \[\frac{3}{5}\]
c) \[\frac{25}{9}\]
d) \[\frac{16}{9}\]
Explanation:
10. An object is attached to the bottom of a light
vertical spring and set vibrating. The maximum
speed of the object is 15 cm/sec and the period is
628 milli-seconds. The amplitude of the motion in
centimeters is
a) 3.0
b) 2.0
c) 1.5
d) 1.0
Explanation:
