JAMB Physics Past Questions & Answers - Page 119

591.

A particle of charge q and mass m moving with a velocity v enters a uniform magnetic field B in the direction of the field. The force on the particle is

A.

Bqv

B.

Bq\(\frac{v}{m}\)

C.

Bqvm

D.

mv\(\frac{B}{q}\)

E.

\(\frac{mv}{Bq}\)

Correct answer is A

The formula for Force on the particle is Bqv.

592.

In the AC circuit diagram above, the resonance frequency is

A.

5000π Hz

B.

2500π Hz

C.

5000/π Hz

D.

2500/π Hz

Correct answer is D

No explanation has been provided for this answer.

593.

The total resistance measured at PQ in the diagram above is

A.

18.0Ω

B.

11.0Ω

C.

4.0Ω

D.

2.0Ω

Correct answer is C

The three 2 ohms are in series, therefore the total resistance is
\(R=R_1+R_2+R_3\)
\(R_ {total} =2+2+2= 6\) ohms.

resketching circuit;
6 ohms is used to replace the three 2 ohms which is therefore placed by the 3 ohms resistor.
The 3 ohms and 6 ohms resistors are in parallel, so the combined resistance is
\(R=\frac{R_1xR_2}{R_1+R_2}\)
\(R= \frac{3×6}{3+6}\)
\(R=\frac{18}{9}=2\) ohms.
Resketching circuit:
The 2 ohms is used to replace the 3 ohms and 6 ohms laying side-by-side.
Therefore, the 3 resistors (1 ohm, 1 ohm, and 2 ohms) are in series.
Thus, the total resistance is
\(R= (R_1+R_2+R_3)\)
\(R_{total} =1+1+2=4\) ohms.
Therefore, the total resistance measured at PQ is 4 ohms.

594.

A body on the ground is acted on by a force of 10N at a point P as shown in the fig above. What force is needed to stop the body from moving eastwards?

A.

5N in the direction of east

B.

5N in the direction of west

C.

5V3N in the direction of west

D.

10N in the southwest direction

Correct answer is B

The horizontal (eastward) component of the 10N force is = 10 cos60

→ 10 x 0.5 = 5N. 

The equilibrant force needed to stop the body moving eastward must act in exactly the
opposite direction. 

Therefore, the needed force is 5N in the direction of West

595.