COMEDK UGET problems

1802 problems for COMEDK UGET practice, in Physics, Chemistry and Mathematics, each with a worked solution. Try each one on paper first, then check your answer.

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

All LevelsMiddle Stage (6–8)High School (9–10)High School (11–12)UndergraduateGeneral

Pick a subject to see its topics.

AllEasyMediumHardAdvanced

SortMixedNewest firstOldest firstA to Z1571 problems

Type:AnyConceptualNumericalPython-Coded

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-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

2.

Two complexes of the same metal ion form at 298 K… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

3.

A power cable hangs between two poles of equal height, 30 m apart… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

4.

A capacitor of 12 µF is charged to 30 V… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

5.

Four aqua complexes are [Sc(H₂O)₆]³⁺, [Zn(H₂O)₆]²⁺, [Cr(H₂O)₆]³⁺ and [Co(H₂O)₆]²⁺… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

6.

A landscape gardener lays a curved border of stones along the graph of y = x²/4 - (ln x)/2, from x… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

7.

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 CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

8.

A d² ion forms an octahedral complex with Δo = 270 kJ/mol… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

9.

A rain gauge in a hill town records the rainfall intensity R(t) = 12te^(-t/2) millimetres per hour… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

10.

A power station generates 1.0 MW at 10 kV… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

11.

The blue complex [CoCl₄]²⁻ is tetrahedral… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

12.

A warehouse robot moves along a straight rail… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

13.

A line of resistance 5.0 Ω carries 240 kW at 6.0 kV, with power factor 1… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

14.

An octahedral complex of a d⁴ ion has Δo = 130 kJ/mol with a weak ligand and Δo = 310 kJ/mol with a… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

15.

A kettle on a mains supply draws the power p(t) = 1800 sin²(100π t) watts, with t in seconds… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

16.

The primary coil of a transformer has a resistance of 3.0 Ω and, at 50 Hz, an inductive reactance… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

17.

Two complexes of Fe²⁺ each have six identical ligands around the ion… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

18.

A potter makes a bowl by turning the curve x² = 8y about the y-axis… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

19.

A step-down transformer is 94 % efficient at full load… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

20.

The deep blue complex [Cu(NH₃)₄]²⁺ is square planar and paramagnetic… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

21.

A wood turner shapes a solid ornament on a lathe… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

22.

A step-up transformer in a school laboratory has 200 turns in its primary and 3000 turns in its… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

23.

The octahedral complex [CoF₆]³⁻ is paramagnetic… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

24.

A glass bead is made by turning the region between the curves y = √x and y = x/2 about the x-axis… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

25.

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 CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JEE Main, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard