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  1. Problems
  2. /CMI Entrance

CMI Entrance problems

384 problems for CMI Entrance practice, in Mathematics and Physics, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainJEE AdvancedNEETBoard ExamOlympiadSATAPA-LevelIBAEEE (Amrita)AMUEEEAP EAPCETBCECEBITSATCOMEDK UGETCUET UGGaokaoGUJCETIAT (IISER)International OlympiadISI Admission TestJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETNEST (NISER)OJEEPCAP (Python Institute)PCEP (Python Institute)SRMJEEETS EAPCETUPESEATVITEEEWBJEE

Pick a subject to see its topics.

397 problems
Type:
1.
An LC circuit has L = 0.50 H, C = 20 µF and a resistance of 2.0 Ω… New
High School (11–12) · Alternating CurrentA-LevelIBAEEE (Amrita)+22A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
2.
A power cable hangs between two poles of equal height, 30 m apart… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
3.
A line has a total resistance of 12 Ω. At the sending end the voltage is 33 kV and the current is… New
High School (11–12) · Alternating CurrentNEETA-LevelIB+23A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
4.
A warehouse robot moves along a straight rail… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
5.
A power station generates 1.0 MW at 10 kV… New
High School (11–12) · Alternating CurrentNEETA-LevelIB+23A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
6.
A potter makes a bowl by turning the curve x² = 8y about the y-axis… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
7.
A step-down transformer is 94 % efficient at full load… New
High School (11–12) · Alternating CurrentA-LevelIBAEEE (Amrita)+22A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
8.
A wood turner shapes a solid ornament on a lathe… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
9.
A coil has R = 25 Ω and L = 0.30 H. It is joined to the 230 V (rms), 50 Hz mains… New
High School (11–12) · Alternating CurrentJEE MainA-LevelIB+23A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
10.
A map shows a lake. One unit on the map is 100 m… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
11.
A tuner can use one of two coils. Both have the same inductance… New
High School (11–12) · Alternating CurrentJEE MainA-LevelIB+23A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
12.
A glass roof light is made as a flat panel… New
High School (11–12) · Application of IntegralsJEE MainAPA-Level+25APA-LevelIB+4StemPy LabStemPy Lab
Hard
13.
A single pure component is joined to a source of 15 V rms and 80 Hz… New
High School (11–12) · Alternating CurrentBoard ExamA-LevelIB+23A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
14.
A decorative mirror is cut from a circular sheet of glass… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
15.
A source of 12 V rms has a frequency of 50 Hz… New
High School (11–12) · Alternating CurrentA-LevelIBAEEE (Amrita)+22A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
16.
An irrigation channel on a farm has a cross-section shaped like the parabola y = x²… New
High School (11–12) · Application of IntegralsJEE MainAPA-Level+25APA-LevelIB+4StemPy LabStemPy Lab
Hard
17.
A current repeats this pattern. It is +6.0 A for 3.0 ms… New
High School (11–12) · Alternating CurrentA-LevelIBAEEE (Amrita)+22A-LevelIBCMI Entrance+2StemPy LabStemPy Lab
Hard
18.
A ranger in Cornwall is protecting a sand dune from walkers… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+25APA-LevelIB+4StemPy LabStemPy Lab
Advanced
19.
A battery of 12 V and negligible internal resistance is joined to a resistor of 6.0 Ω… New
High School (11–12) · Electromagnetic InductionNEETAPA-Level+24APA-LevelIB+3StemPy LabStemPy Lab
Hard
20.
A glass artist designs a window panel. Seen from the front, the lead outline follows the curve y =… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
21.
Two horizontal rails 0.41 m apart are joined to a battery of emf 9.0 V… New
High School (11–12) · Electromagnetic InductionNEETAPA-Level+24APA-LevelIB+3StemPy LabStemPy Lab
Hard
22.
A signal generator in a school laboratory produces a voltage v = 3 sin 2t volts, where t is the… New
High School (11–12) · Application of IntegralsBoard ExamAPA-Level+25APA-LevelIB+4StemPy LabStemPy Lab
Hard
23.
A rod of mass 40 g slides down two vertical smooth rails 0.40 m apart in a field of 0.90 T at right… New
High School (11–12) · Electromagnetic InductionNEETAPA-Level+24APA-LevelIB+3StemPy LabStemPy Lab
Hard
24.
A drainage channel is being built through a market town… New
High School (11–12) · Application of IntegralsAPA-LevelIB+24APA-LevelIB+4StemPy LabStemPy Lab
Hard
25.
A long air-core solenoid has 2500 turns, a length of 0.80 m and a radius of 3.0 cm… New
High School (11–12) · Electromagnetic InductionAPA-LevelIB+23APA-LevelIB+3StemPy LabStemPy Lab
Hard
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