array(15) { [0]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "204" ["ques_text"]=> string(4522) "
A coil of 50 turns is situated in a magnetic field b = 0.25weber/m2 as shown in figure. A current of 2A is flowing in the coil. Torque acting on the coil will be
" ["question_id"]=> string(4) "2816" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11149" ["question_id"]=> string(4) "2816" ["opt_desc"]=> string(27) "
0.15 N
" } [1]=> array(3) { ["option_id"]=> string(5) "11150" ["question_id"]=> string(4) "2816" ["opt_desc"]=> string(27) "0.45 N
" } [2]=> array(3) { ["option_id"]=> string(5) "11151" ["question_id"]=> string(4) "2816" ["opt_desc"]=> string(26) "0.3 N
" } [3]=> array(3) { ["option_id"]=> string(5) "11152" ["question_id"]=> string(4) "2816" ["opt_desc"]=> string(26) "0.6 N
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2856" ["question_id"]=> string(4) "2816" ["option_id"]=> string(5) "11151" } } } [1]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "205" ["ques_text"]=> string(239) "A circular loop of area 1 cm2, carrying a current of 10 A, is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is
" ["question_id"]=> string(4) "2839" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11241" ["question_id"]=> string(4) "2839" ["opt_desc"]=> string(16) "Zero
" } [1]=> array(3) { ["option_id"]=> string(5) "11242" ["question_id"]=> string(4) "2839" ["opt_desc"]=> string(46) "10–4 N-m
" } [2]=> array(3) { ["option_id"]=> string(5) "11243" ["question_id"]=> string(4) "2839" ["opt_desc"]=> string(55) "10–2 N-m
" } [3]=> array(3) { ["option_id"]=> string(5) "11244" ["question_id"]=> string(4) "2839" ["opt_desc"]=> string(35) "1 N-m
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2879" ["question_id"]=> string(4) "2839" ["option_id"]=> string(5) "11241" } } } [2]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "206" ["ques_text"]=> string(3149) "A square coil of N turns (with length of each side equal L) carrying current i is placed in a uniform magnetic field as shown in figure. What is the torque
" ["question_id"]=> string(4) "2849" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11281" ["question_id"]=> string(4) "2849" ["opt_desc"]=> string(217) "
" } [1]=> array(3) { ["option_id"]=> string(5) "11282" ["question_id"]=> string(4) "2849" ["opt_desc"]=> string(205) "
" } [2]=> array(3) { ["option_id"]=> string(5) "11283" ["question_id"]=> string(4) "2849" ["opt_desc"]=> string(199) "
" } [3]=> array(3) { ["option_id"]=> string(5) "11284" ["question_id"]=> string(4) "2849" ["opt_desc"]=> string(205) "
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2889" ["question_id"]=> string(4) "2849" ["option_id"]=> string(5) "11282" } } } [3]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "206" ["ques_text"]=> string(245) "
A wire of length L is bent in the form of a circular coil and current i is passed through it. If this coil is placed in a magnetic field then the torque acting on the coil will be maximum when the number of turns is
" ["question_id"]=> string(4) "2853" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11297" ["question_id"]=> string(4) "2853" ["opt_desc"]=> string(32) "As large as possible
" } [1]=> array(3) { ["option_id"]=> string(5) "11298" ["question_id"]=> string(4) "2853" ["opt_desc"]=> string(22) "Any number
" } [2]=> array(3) { ["option_id"]=> string(5) "11299" ["question_id"]=> string(4) "2853" ["opt_desc"]=> string(13) "2
" } [3]=> array(3) { ["option_id"]=> string(5) "11300" ["question_id"]=> string(4) "2853" ["opt_desc"]=> string(13) "1
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2893" ["question_id"]=> string(4) "2853" ["option_id"]=> string(5) "11300" } } } [4]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "209" ["ques_text"]=> string(239) "A circular loop of area 1 cm2, carrying a current of 10 A, is placed in a magnetic field of 0.1 T perpendicular to the plane of the loop. The torque on the loop due to the magnetic field is
" ["question_id"]=> string(4) "2882" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11413" ["question_id"]=> string(4) "2882" ["opt_desc"]=> string(16) "Zero
" } [1]=> array(3) { ["option_id"]=> string(5) "11414" ["question_id"]=> string(4) "2882" ["opt_desc"]=> string(46) "10–4 N-m
" } [2]=> array(3) { ["option_id"]=> string(5) "11415" ["question_id"]=> string(4) "2882" ["opt_desc"]=> string(55) "10–2 N-m
" } [3]=> array(3) { ["option_id"]=> string(5) "11416" ["question_id"]=> string(4) "2882" ["opt_desc"]=> string(35) "1 N-m
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2922" ["question_id"]=> string(4) "2882" ["option_id"]=> string(5) "11413" } } } [5]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "209" ["ques_text"]=> string(245) "A wire of length L is bent in the form of a circular coil and current i is passed through it. If this coil is placed in a magnetic field then the torque acting on the coil will be maximum when the number of turns is
" ["question_id"]=> string(4) "2883" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11417" ["question_id"]=> string(4) "2883" ["opt_desc"]=> string(32) "As large as possible
" } [1]=> array(3) { ["option_id"]=> string(5) "11418" ["question_id"]=> string(4) "2883" ["opt_desc"]=> string(22) "Any number
" } [2]=> array(3) { ["option_id"]=> string(5) "11419" ["question_id"]=> string(4) "2883" ["opt_desc"]=> string(13) "2
" } [3]=> array(3) { ["option_id"]=> string(5) "11420" ["question_id"]=> string(4) "2883" ["opt_desc"]=> string(13) "1
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2923" ["question_id"]=> string(4) "2883" ["option_id"]=> string(5) "11420" } } } [6]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "211" ["ques_text"]=> string(4390) "A coil of 50 turns is situated in a magnetic field b = 0.25weber/m2 as shown in figure. A current of 2A is flowing in the coil. Torque acting on the coil will be
" ["question_id"]=> string(4) "2916" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11549" ["question_id"]=> string(4) "2916" ["opt_desc"]=> string(27) "
0.15 N
" } [1]=> array(3) { ["option_id"]=> string(5) "11550" ["question_id"]=> string(4) "2916" ["opt_desc"]=> string(26) "0.3 N
" } [2]=> array(3) { ["option_id"]=> string(5) "11551" ["question_id"]=> string(4) "2916" ["opt_desc"]=> string(27) "0.45 N
" } [3]=> array(3) { ["option_id"]=> string(5) "11552" ["question_id"]=> string(4) "2916" ["opt_desc"]=> string(26) "0.6 N
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2956" ["question_id"]=> string(4) "2916" ["option_id"]=> string(5) "11550" } } } [7]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "211" ["ques_text"]=> string(3281) "A square coil of N turns (with length of each side equal L) carrying current i is placed in a uniform magnetic field as shown in figure. What is the torque acting on the coil
" ["question_id"]=> string(4) "2918" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11557" ["question_id"]=> string(4) "2918" ["opt_desc"]=> string(199) "
" } [1]=> array(3) { ["option_id"]=> string(5) "11558" ["question_id"]=> string(4) "2918" ["opt_desc"]=> string(205) "
" } [2]=> array(3) { ["option_id"]=> string(5) "11559" ["question_id"]=> string(4) "2918" ["opt_desc"]=> string(199) "
" } [3]=> array(3) { ["option_id"]=> string(5) "11560" ["question_id"]=> string(4) "2918" ["opt_desc"]=> string(205) "
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "2958" ["question_id"]=> string(4) "2918" ["option_id"]=> string(5) "11558" } } } [8]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "216" ["ques_text"]=> string(194) "
A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through 60°. The torque required to maintain the needle in this position will be
" ["question_id"]=> string(4) "2973" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "11777" ["question_id"]=> string(4) "2973" ["opt_desc"]=> string(103) "" } [1]=> array(3) { ["option_id"]=> string(5) "11778" ["question_id"]=> string(4) "2973" ["opt_desc"]=> string(109) "
" } [2]=> array(3) { ["option_id"]=> string(5) "11779" ["question_id"]=> string(4) "2973" ["opt_desc"]=> string(128) "
" } [3]=> array(3) { ["option_id"]=> string(5) "11780" ["question_id"]=> string(4) "2973" ["opt_desc"]=> string(23) "
2W
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "3013" ["question_id"]=> string(4) "2973" ["option_id"]=> string(5) "11777" } } } [9]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "221" ["ques_text"]=> string(194) "A magnetic needle lying parallel to a magnetic field requires W units of work to turn it through 60°. The torque required to maintain the needle in this position will be
" ["question_id"]=> string(4) "3037" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "12033" ["question_id"]=> string(4) "3037" ["opt_desc"]=> string(103) "" } [1]=> array(3) { ["option_id"]=> string(5) "12034" ["question_id"]=> string(4) "3037" ["opt_desc"]=> string(30) "
– W
" } [2]=> array(3) { ["option_id"]=> string(5) "12035" ["question_id"]=> string(4) "3037" ["opt_desc"]=> string(128) "" } [3]=> array(3) { ["option_id"]=> string(5) "12036" ["question_id"]=> string(4) "3037" ["opt_desc"]=> string(23) "
2W
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "3077" ["question_id"]=> string(4) "3037" ["option_id"]=> string(5) "12033" } } } [10]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "212" ["ques_text"]=> string(203) "A wire of length l is formed into a circular loop of one turn only and is suspended in a magnetic field B. When a current i is passed through the loop, the maximum torque experienced by it is
" ["question_id"]=> string(4) "3460" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "13725" ["question_id"]=> string(4) "3460" ["opt_desc"]=> string(25) "(1/4π)Bill
" } [1]=> array(3) { ["option_id"]=> string(5) "13726" ["question_id"]=> string(4) "3460" ["opt_desc"]=> string(36) "(1/4π)l2iB
" } [2]=> array(3) { ["option_id"]=> string(5) "13727" ["question_id"]=> string(4) "3460" ["opt_desc"]=> string(36) "(1/4π)B2il
" } [3]=> array(3) { ["option_id"]=> string(5) "13728" ["question_id"]=> string(4) "3460" ["opt_desc"]=> string(36) "(1/4π)Bi2l
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "3504" ["question_id"]=> string(4) "3460" ["option_id"]=> string(5) "13726" } } } [11]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "295" ["ques_text"]=> string(134) "For a system to be in equilibrium, the torques acting on it must balance. This is true only if the torques are taken about
" ["question_id"]=> string(4) "4118" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "16354" ["question_id"]=> string(4) "4118" ["opt_desc"]=> string(36) "The centre of the system
" } [1]=> array(3) { ["option_id"]=> string(5) "16355" ["question_id"]=> string(4) "4118" ["opt_desc"]=> string(44) "The centre of mass of the system
" } [2]=> array(3) { ["option_id"]=> string(5) "16356" ["question_id"]=> string(4) "4118" ["opt_desc"]=> string(35) "Any point on the system
" } [3]=> array(3) { ["option_id"]=> string(5) "16357" ["question_id"]=> string(4) "4118" ["opt_desc"]=> string(49) "Any point on the system or outside it
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "4167" ["question_id"]=> string(4) "4118" ["option_id"]=> string(5) "16357" } } } [12]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "296" ["ques_text"]=> string(270) "A body rotating at 20 rad/sec is acted upon by a constant torque providing it a deceleration of 2 rad/sec2. At what time will the body have kinetic energy same as the initial value if the torque continues to act
" ["question_id"]=> string(4) "4136" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "16426" ["question_id"]=> string(4) "4136" ["opt_desc"]=> string(28) "20 secs
" } [1]=> array(3) { ["option_id"]=> string(5) "16427" ["question_id"]=> string(4) "4136" ["opt_desc"]=> string(28) "40 secs
" } [2]=> array(3) { ["option_id"]=> string(5) "16428" ["question_id"]=> string(4) "4136" ["opt_desc"]=> string(27) "5 secs
" } [3]=> array(3) { ["option_id"]=> string(5) "16429" ["question_id"]=> string(4) "4136" ["opt_desc"]=> string(28) "10 secs
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "4185" ["question_id"]=> string(4) "4136" ["option_id"]=> string(5) "16426" } } } [13]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "297" ["ques_text"]=> string(114) "An engine develops 100 kW, when rotating at 1800 rpm. Torque required to deliver the power is
" ["question_id"]=> string(4) "4146" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "16466" ["question_id"]=> string(4) "4146" ["opt_desc"]=> string(37) "531 N-m
" } [1]=> array(3) { ["option_id"]=> string(5) "16467" ["question_id"]=> string(4) "4146" ["opt_desc"]=> string(37) "570 N-m
" } [2]=> array(3) { ["option_id"]=> string(5) "16468" ["question_id"]=> string(4) "4146" ["opt_desc"]=> string(37) "520 N-m
" } [3]=> array(3) { ["option_id"]=> string(5) "16469" ["question_id"]=> string(4) "4146" ["opt_desc"]=> string(37) "551 N-m
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "4195" ["question_id"]=> string(4) "4146" ["option_id"]=> string(5) "16466" } } } [14]=> array(3) { ["Question"]=> array(3) { ["test_id"]=> string(3) "297" ["ques_text"]=> string(166) "A rigid spherical body is spinning around an axis without any external torque. Due to change in temperature, the volume increases by 1%. Its angular speed
" ["question_id"]=> string(4) "4152" } ["Option"]=> array(4) { [0]=> array(3) { ["option_id"]=> string(5) "16490" ["question_id"]=> string(4) "4152" ["opt_desc"]=> string(45) "Will increase approximately by 1%
" } [1]=> array(3) { ["option_id"]=> string(5) "16491" ["question_id"]=> string(4) "4152" ["opt_desc"]=> string(45) "Will decrease approximately by 1%
" } [2]=> array(3) { ["option_id"]=> string(5) "16492" ["question_id"]=> string(4) "4152" ["opt_desc"]=> string(48) "Will decrease approximately by 0.67%
" } [3]=> array(3) { ["option_id"]=> string(5) "16493" ["question_id"]=> string(4) "4152" ["opt_desc"]=> string(48) "Will decrease approximately by 0.33%
" } } ["Answer"]=> array(1) { [0]=> array(3) { ["answer_id"]=> string(4) "4201" ["question_id"]=> string(4) "4152" ["option_id"]=> string(5) "16492" } } } }