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# (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 cm ^{2} as its area. The plane of
the coil is placed at right angle to a magnetic induction field of 2 × 10^{–5}
web/m^{2}. 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/m^{2}. 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