(Download) Special Class Railway Apprentices (SCRA) Practice Paper (SET - 1) : Mathematics

Special Class Railway Apprentices (SCRA)
Practice Paper (SET - 1)

Mathematics

A and B are two independent events the probability then both A and B occur is 1/8 and the probability that neither of them occurs is 3/8. The probability of the occurence of the event A is:
(a) 1/3
(b) 1/4
(c) 1/5
(d) 1/8

A wire carrying current i = 100 A is taken. A rod is moved parallel to this wire with a velocity v = 5 m/s as shown in the figure. Find the value of induced emf in the rod.
(a) 2 × 10–2 volt
(b) 3 × 10–4 volt
(c) 4 × 10–3 volt
(d) None of these

A coil has 1,000 turns and 500 cm2 as its area. The plane of the coil is placed at right angle to a magnetic induction field of 2 × 10–5 web/m2. The coil is rotated through 180° in 0.2 seconds. The average emf induced in the coil in milli-volts is
(a) 5
(b) 10
(c) 15
(d) 20

When a wheel with metallic spokes 1.2 m long revolves in a magnetic field of 5 × 10–5 Wbm perpendicular to the plane of wheel, an emf 10–2V is induced across the rim and the axle of the wheel. Find the rate of rotation of the wheel per second.
(a) 32.2
(b) 44.2
(c) 30.2
(d) None of these

A 10 metre wire is kept in east-west direction. It is falling down with a speed of 5.0 m/s perpendicular to the horizontal component of earth’s magnetic field of 0.30 × 10–4 Wb/m2. What is the momentary potential difference induced between the end of the wires ?
(a) 1.2 mV
(b) 1.6 mV
(c) 2.4 mV
(d) 3.2 mV

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